Julia has 12 different flowers in her garden. She has 5 roses what fraction of the flowers are roses?

Answers

Answer 1

Answer:

5/12

Step-by-step explanation:

Since Julia has 12 different flowers and we know she has 5 roses

we can turn it into a fraction which will be 5/12.'


Related Questions

Gross profit does not appear

Answers

no it dose not

your right whats the question

I don’t know how to do this problem help me!!

Answers

[tex]x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z[/tex]

Therefore, it's [tex]2z^5-7z[/tex].

10-10=69.420!!!!!!!!!!

what is the quotient (6x 10

Answers

Answer:60

Step-by-step explanation: because I Maltiply 6 by 6 times

please help, i don’t understand this at all

Answers

The smallest subset containing 7.83 among the common subsets is Q.

We are given that;

The number 7.83

Now,

Subset of a given set is a set whose all elements are in the original set of which it is subset.

So if B is subset of A, then all elements of B are in A but it is not necessary that all elements of A are in B.

If B is subset of A, then A is superset of B.

The smallest subset containing the value 7.83 is the set of rational numbers. A rational number is a number that can be written as a fraction of two integers, such as 7.83 = 783/100. The set of rational numbers is denoted by Q and it is a subset of the set of real numbers R.

Therefore, by subsets the answer will be Q.

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100 Points! Algebra question. Sketch the angle. Then find its reference angle. Show your calculations. Photo attached. Thank you!

Answers

The reference angle of 13π/8 is 3π/8 and the sketch of the angle is attached

How to sketch the angle and find the reference angle

From the question, we have the following parameters that can be used in our computation:

Angle = 13π/8

Rewrite as

θ = 13π/8

The above angle is in the fourth quadrant

So, we subtract it from 2π to calculate the reference angle

Using the above as a guide, we have the following:

Reference angle = 2π - 13π/8

Evaluate the difference

Reference angle = 3π/8

Hence, the reference angle is 3π/8 and the sketch of the angle is added as an attachment

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A ball will be thrown upward from a height of 20 meters above the ground, with an initial velocity of 15 meters per second. Its distance from the ground, d, is a function of the time in seconds since the ball was thrown, t. This function is graphed below. How many seconds after the ball is thrown will it be 20 meters from the ground again ?

Answers

From the graph, we can calculate that 6 seconds after the ball is thrown, it will be 20 meters from the ground again.

How do we calculate?

The equation is as follows:

d = d0 + v0 * t - (1/2) * g * t²

d =  distance from the ground

d0 = the initial height

v0 =  initial velocity

g  =  acceleration due to gravity = 9.8 m/s²

t=  time

20 = 20 + 15 * t - (1/2) * 9.8 * t^2

We simplify as follows:

0 = -4.9 * t² + 15 * t

We then go ahead to solve  this quadratic equation to find the values of t when the ball is 20 meters from the ground again.

t * (-4.9t + 15) = 0

t = 0 or

-4.9t + 15 = 0.

-4.9t + 15 = 0

-4.9t = -15

t = 3.06 seconds

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100 Points! Algebra question. Use the given key features to sketch a nonlinear graph. Photo attached. Thank you!

Answers

The non-linear graph of the function y = -(x - 1)² + 1. is given by the image presented at the end of the answer.

When a function is positive and when it is negative?

We have to look at the graph of the function relative to the x-axis, as follows:

A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.

The function has a maximum point at (1,1), meaning that:

The function is increasing for x > 1.The function is decreasing for x < 1.

Considering the end behavior of the function, that it goes to negative infinity at both tails of the graph, a function that satisfies these features is given as follows:

y = -(x - 1)² + 1.

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What postulate or theorem allows you to state that angle DEF is congruent to angle GHJ

Answers

Then you can state that angle DEF is congruent to angle GHJ.

The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.

This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.

In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and

you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.

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What is the probability that either event will occur?
25
A
5
B
15
5
P(A or B)=P(A) + P(B) - P(A and B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter

Answers

If the events A and B are mutually exclusive, meaning they cannot occur simultaneously, then the probability of both events occurring together is zero. In this case, the formula simplifies to P(A or B) = P(A) + P(B).

The probability that either event A or event B will occur can be calculated using the addition rule of probability. According to this rule, the probability of either event A or event B occurring is equal to the sum of the individual probabilities of each event minus the probability of both events occurring together.

In other words, P(A or B) = P(A) + P(B) - P(A and B)



However, if the events A and B are not mutually exclusive, then the probability of both events occurring together needs to be subtracted from the sum of their individual probabilities to avoid double-counting.

So, the final answer to the question "What is the probability that either event will occur?" depends on the specific probabilities of events A and B and whether they are mutually exclusive or not.

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Psychology: Ethical guidelines are established to help professional psychologists maintain
A. Objectivity
B. Scientific method
C. Professional behavior
D. Continuing education

Answers

Ethical guidelines are established to help professional psychologists maintain Professional behavior.

Professional behavior refers to the conduct and standards expected of psychologists in their professional practice. Ethical guidelines provide a framework that outlines the principles, values, and standards that psychologists should follow in their interactions with clients, colleagues, and the broader community.

These guidelines promote ethical behavior by setting expectations for confidentiality, informed consent, competence, integrity, and avoiding conflicts of interest, among other aspects. They ensure that psychologists prioritize the well-being and rights of their clients, maintain professional boundaries, and uphold ethical standards in research and practice.

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solve question 5 please

Answers

The value of all the expression which have x = 5 asymptotes are,

⇒ g (x) = 3 log (x - 5)

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ f (x) = (3x + 20) / (x - 5)

We have to given that,

All the expressions are,

⇒ g (x) = 3 log (x - 5)

⇒ f (x) = √(x - 5) + 2

⇒ h (x)= eˣ⁻⁵

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ h (x) = - ∛(x - 5) + 1

⇒ f (x) = (3x + 20) / (x - 5)

Now, We can check all the expressions for which have x = 5 asymptotes.

Hence, We can substitute x = 5 in each expression and check all expression as which are not defined at x = 5,

⇒ g (x) = 3 log (x - 5)

Substitute x = 5;

⇒ g (x) = 3 log (5 - 5)

⇒ g (x) = 3 log (0)

Which is undefined.

⇒ f (x) = √(x - 5) + 2

Substitute x = 5;

⇒ f (x) = √(5 - 5) + 2

⇒ f (x) = 2

Which is defined.

⇒ h (x)= eˣ⁻⁵

Substitute x = 5;

⇒ h (x)= e⁻⁵

Which is defined.

⇒ g (x) = log₁₀ (- x + 5) -  4

Substitute x = 5;

⇒ g (x) = log₁₀ (- 5 + 5) -  4

⇒ g (x) = log₁₀ (0) -  4

Which is undefined.

⇒ h (x) = - ∛(x - 5) + 1

Substitute x = 5;

⇒ h (x) = - ∛(5 - 5) + 1

⇒ h (x) =  1

Which is defined.

⇒ f (x) = (3x + 20) / (x - 5)

Substitute x = 5;

⇒ f (x) = (3x + 20) / (5 - 5)

⇒ f (x) = (15 + 20) / (0)

Which is undefined.

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Solve for x. Round to the nearest tenth

Answers

The values of the distance are;

1. 4. 49 feet

2. 7. 73 feet

How to determine the values

We need to know the trigonometric identities and their ratios. We have;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

Now, substitute the values, we have;

1. Adjacent = d

Hypotenuse = 12

Angle = 68 degrees

cos 68 = adjacent/hypotenuse

cos 68 = d/12

cross multiply the values, we get;

d = 4. 49 feet

2.

cos 25 = 7/x

cross multiply the values, we have;

x = 7/0. 9063

divide the values, we get;

x = 7. 73 feet

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In the diagram below of triangle BCD, E is the midpoint of BD and Fis
the midpoint of CD. If EF = -9x + 82, and BC = 80 - 6x, what is
the measure of BC?

Answers

The measure of BC is 48x - 168.

In the given diagram of triangle BCD, we are told that E is the midpoint of BD and F is the midpoint of CD. Let's denote the measure of BC as y.

Since E is the midpoint of BD, we can say that BE = ED. Similarly, F is the midpoint of CD, so CF = FD.

Using the information given, we can write the equation EF = -9x + 82. Since F is the midpoint of CD, we can substitute FD for EF, so FD = -9x + 82.

Also, we know that BC = 80 - 6x.

In triangle BCD, we can write the equation BC = BE + EF + FD.

Substituting the given values, we have:

80 - 6x = (BE) + (-9x + 82) + (-9x + 82).

Simplifying the equation:

80 - 6x = BE - 9x + 82 - 9x + 82.

Combining like terms:

80 - 6x = BE - 18x + 164.

Moving the variables to one side and constants to the other side:

6x - BE + 18x = 164 - 80.

Combining like terms:

24x - BE = 84.

Rearranging the equation:

BE = 24x - 84.

Since E is the midpoint of BD, we can write:

BE = BD/2.

Substituting the value of BE:

BD/2 = 24x - 84.

Simplifying the equation:

BD = 48x - 168.

We are required to find the measure of BC, which is y. From the equation BC = BD, we have:

y = 48x - 168.

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Is the following a statistical question?
) How many yards are in one mile?
yes
No

Answers

Hello!

Answer:

No

Explanation:

A statistical question is answered by collecting data that exhibits variability

[tex]\Huge \fbox{Answer = No}[/tex]

[tex]\Huge \fbox{Step-by-step explanation:}[/tex]

What are statistical questions?

Statistical questions are open ended questions that are created to gather information or data about a population or a sample. Depending on the population or sample being investigated, they often involve variability and can have a variety of possible responses.

Why is the question not statistical?

Because it is a straightforward factual question that can be answered with a single value, the question being asked is not a statistical one.

There are 1,760 yards in a mile, hence the answer to this question is an exact number. There is no variability or data gathering involved with this response. As a result, the question is not a statistical question.

----------------------------------------------------------------------------------------------------------

6. Kibo is a Japanese laboratory on the
International Space Station. It is a cylinder
11.2 meters long with a radius of 2.2 meters.
Compare its volume to the volumes of Destiny
and Columbus.

Answers

Based on the provided information, we can say that Kibo has a volume of approximately 54.01 cubic meters.

To compare the volume of Kibo, Destiny, and Columbus, we need to calculate the volumes of each module.

The volume of a chamber can be determined utilizing the equation V = πr^2h, where r is the span and h is the level (or length for this situation) of the chamber.

For Kibo:

Radius (r) = 2.2 meters

Length (h) = 11.2 meters

V_kibo = π * (2.2^2) * 11.2

      = 4.84 * 11.2

      ≈ 54.01 cubic meters

For Destiny and Columbus, we would need their respective dimensions to calculate their volumes using the same formula.

Destiny is a U.S. laboratory module on the International Space Station. It is a multi-sided module, so we would need the measurements of each side to calculate its volume.

Columbus is a European laboratory module, which is also multi-sided.

Without the specific dimensions of Destiny and Columbus, we cannot accurately compare their volumes to Kibo. However, based on the provided information, we can say that Kibo has a volume of approximately 54.01 cubic meters.

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100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

Answers

the answer is of the inequality is x>8

12. The map shows three bus stations at points A, B and C. A tour from station A to the Zoo and the Port and back to A is 10 km long. A tour from station B to the Park and the Zoo and back to B is 12 km long. A tour from station C to the Port and the Park and back to C is 13 km long. Also. A tour from the Zoo to the Park and the Port and back to the Zoo is 15 km long. How long is the shortest tour from A to B to Cand back to A? (A) 18 km (B) 20 km (C) 25 km (D) 35 km (6) 50 km​

Answers

The shortest tour from A to B to C and back to A is 50 km.

We have,

A to Zoo and Port and back to A: 10 km

B to Park and Zoo and back to B: 12 km

C to Port and Park and back to C: 13 km

Zoo to Park and Port and back to Zoo: 15 km

To calculate the shortest tour from A to B to C and back to A, we can add up the distances between each pair of stations:

A to Zoo and Port and back to A (10 km)

Zoo to Park and Port and back to Zoo (15 km)

B to Park and Zoo and back to B (12 km)

C to Port and Park and back to C (13 km)

So, Total distance: 10 + 15 + 12 + 13 = 50 km

Therefore, the shortest tour from A to B to C and back to A is 50 km.

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100 Points! Algebra question. Photo attached. Please show as much work as possible. Photo attached. Thank you!

Answers

A. A graph of the function is shown in the image below.

B. The illumination in foot-candles that the object receives at a distance of 20-feet from the light source is

C. In the context of the problem, a meaningful domain is {x | x ≤ 0} and a meaningful range is {y | y ≥ 0}.

How to construct and plot the function on a graph?

In this exercise, we would plot the illumination on the y-axis (y-coordinates) of a graph while the square of the distance would be plotted on the x-axis (x-coordinate) of a graph on a coordinate plane.

Part B.

The illumination in foot-candles that this object would receive at a distance of 20-feet from the light source can be calculated by substituting the value of d, which is 20 feet into the function as follows;

I(d) = 4500/d²

I(20) = 4500/20²

I(20) = 4500/400

I(20) = 11.25 foot-candles.

Part C.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, 0] ∪ [0, ∞] or {x | x ≤ 0}.

Range = [0, ∞] or {y | y ≥ 0}

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4. For each babysitting job. Adam charges a fee for his bus fare plus an hourly rate. The graph shows how he calculates the cost of a babysitting job. Write a linear function in the form

y = mx + b to represent the situation.

Ay = 3x+2

B. y = 3x+1

C. y = 6x +2

D. y =-6x+2

Answers

The equation of the graph is,

⇒ y = 6x + 2

Since, The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

For each by sitting job. Adam charges a fee for his bus fare plus an hourly rate.

And, The graph shows how he calculates the cost of a babysitting job.

Now, By graph;

Two points on the line are (1, 8) and (2, 14).

Now,

Since, The equation of line passes through the points (1, 8) and (2, 14).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (14 - 8)) / (2 - 1)

m = 6 / 1

m = 6

Thus, The equation of line with slope 6 is,

⇒ y - 8 = 6 (x - 1)

⇒ y - 8 = 6x - 6

⇒ y = 6x + 2

Therefore, The equation of line will be;

⇒ y = 6x + 2

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I 11. The number 5021972970 is written on a sheet of paper. Julian cuts the sheet twice, so he gets 3 num- bers. What is the smallest sum he can get by adding these 3 numbers? (A) 3244 (B) 3444 (C) 5172 (D) 5217 (E) 5444​

Answers

Answer: D) 5217

Step 1: Start by finding the three numbers that Julian got from cutting the sheet of paper.

Step 2: We can split the number into three sections: 502, 197, and 2970.

Step 3: Add the three numbers: 502 + 197 + 2970 = 3669

Step 4: The smallest sum Julian can get is 3669 and the answer is D) 5217.

Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.

a) At what rate is the cost per unit decreasing for production levels above 12,000?
b) State the function for the domain over [12000, 38000].
c) What is the cost per unit at the production level of 19,000?
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory.

Need this ASAP

Answers

a)

The cost per unit decreasing by 0.00001 for production levels above 12,000.

Given,

From the graph it is clear that the graph passes through the points (12000,0.85) and (38000,0.59).

Now,

If a line passes through two points then the slope of the line is

m = y2 - y1 / x2 - x1

The rate of change in cost per unit for production levels above 12,000 is

m = 0.59 - 0.85 / 38000 - 12000

m = -0.00001

Here negative sign represents the decreasing rate. It means the cost per unit decreasing by 0.00001 for production levels above 12,000.

b)

The function for the domain over [12000, 38000] is :

y = -0.00001x + 0.97

The point slope form of a linear function is,

(y-y1) = m (x - x1)

m = slope.

The slope of the line over [12000, 38000] is -0.00001 and the point is (12000,0.85). So, the function for the domain over [12000, 38000] is

y-0.85 = -0.00001(x-12000)

y =  -0.00001x + 0.97

c)

The cost per unit at the production level of 19,000 is 0.78.

Substitute x=19000 in the above equation, to find the cost per unit at the production level of 19,000.

y = -0.00001(19000) + 0.97

y = 0.78

Thus the cost per unit at the production level of 19,000 is 0.78.

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[tex]f(x)=\sqrt[3]{2x-1}[/tex]

Answers

The function [tex]f(x) = \sqrt[3]{2x-1}[/tex] is a cubic root function with a linear transformation applied.

How to solve

The expression inside the root, 2x-1, is a linear function that scales and shifts the input x. The cubic root function then takes the cube root of the result.

This function is defined for all real numbers x, as the cubic root can be calculated for any real number.

Its graph is a transformed version of the standard cubic root function, skewed and shifted depending on the coefficients in the linear function. The function increases monotonically as x increases, and it is continuous and differentiable everywhere.

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The Complete Question

[tex] f(x)=\sqrt[3]{2x-1}[/tex]

Identify this function and solve

An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)

Answers

The result of the unknown variable x is equivalent to 7

Solving linear equations

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Planes A and B are shown.
m
Mark this and return
If a new line, p, is drawn parallel to line /, which
statement is true?
O Line p must be drawn in plane B.
Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line /.
O Line p must be drawn in the same plane as line n.
Save and Exit
Next
Submit

Answers

The correct statement is that "Line p must be drawn in plane B."

If a new line, p, is drawn parallel to line /, the statement that is true is "Line p must be drawn in plane B."

To understand this, let's analyze the given information:

Planes A and B are shown.

Line m is shown in plane A.

Line n is shown in plane B.

Line / is the line that connects planes A and B.

When a new line, p, is drawn parallel to line /, it means that line p will also connect planes A and B. However, since line / itself is connecting planes A and B, line p must also lie in plane B to maintain its parallel relationship with line /. This is because parallel lines lie in the same plane.

This ensures that line p remains parallel to line / and maintains its connection between planes A and B.

It is important to note that line p being drawn in plane B does not necessarily imply that it intersects with line n. It simply means that line p lies within plane B and remains parallel to line /.

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need help i don't know how to do this

Answers

Line AB is congruent to line CD , proved.

What is the proof for line AB and CD?

The proof that line AB is congruent to line CD is determined as follows;

If line AB ≅ CD, then will have the following to be true;

m∠BAE = m∠DCEm∠ABE = m∠CDEm∠AEB = m∠DEC

Let angle A = x

The value of angle C will be equal to x (alternate angles are equal)

Let angle B = y

The value of angle D will be equal to y (alternate angles are equal)

Let angle m∠AEB = z

The value of m∠DEC will be equal to z (vertical opposite angles are equal).

So line AB is congruent to line CD , proved.

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100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

Answers

Answer:

  A.  440°, -280°

  B.  17π/6, -7π/6

Step-by-step explanation:

You want angles coterminal with the given angle, one with a positive sign, and one with a negative sign.

Coterminal angles

Adding an integer multiple of 360° = 2π radians to any angle will give the measure of a coterminal angle.

A. 80°

A positive coterminal angle is ...

  80° +360° = 440°

A negative coterminal angle is ...

  80° -360° = -280°

B. 5π/6

A positive coterminal angle is ...

  5π/6 +2π = 17π/6

A negative coterminal angle is ...

  5π/6 -2π = -7π/6

__

Additional comment

We have used the smallest multiples of 1 full rotation around the origin. You could choose others. For example, adding 3600° to the first angle will give 3680° as a positive angle coterminal with 80°.

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[(3/4) is to -6 / (3/4) is to 3]is to x = (3/4) is to -9

Answers

The value of x in the proportion is -9.

How to determine the value of x

To solve the proportion [(3/4) is to -6] is to [(3/4) is to 3] is to x = [(3/4) is to -9], we can cross-multiply and solve for x.

Starting with the left side of the proportion:

[(3/4) is to -6] is to [(3/4) is to 3]

Cross-multiplying:

(3/4) * 3 = (3/4) * (-6)

Simplifying:

9/4 = -18/4

Now, moving to the right side of the proportion:

[(3/4) is to -9]

Cross-multiplying:

x * (3/4) = (3/4) * (-9)

Simplifying:

(3/4) * x = -27/4

To solve for x, we can multiply both sides of the equation by the reciprocal of (3/4), which is 4/3:

(4/3) * [(3/4) * x] = (4/3) * (-27/4)

Simplifying:

x = -9

Therefore, the value of x in the proportion is -9.

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The diagram shows triangle ABC.
ADC and DEB are straight lines.
AD = 4.4cm
BC = 8.6cm
E is the midpoint of DB.
Angle CDB = 90°
Angle DCB = 40°
Work out the size of angle EAD. Give your answer correct to 1 decimal place.
You must show all your working.


Please help

Answers

The size of angle EAD is 40°.

To find the size of angle EAD, we can use the information given in the diagram and apply some basic trigonometry principles. Let's go step by step.

First, we notice that triangle CDB is a right triangle since angle CDB is given as 90°. We also know that angle DCB is 40°. This means that angle CBD can be found by subtracting 40° from 90°:

angle CBD = 90° - 40° = 50°.

Since E is the midpoint of DB, we can conclude that angle CBE is also 50°, as it is vertically opposite to angle CBD.

Now, let's consider triangle ADE. We know that angle EAD is the angle we're trying to find. We can use the fact that the angles in a triangle add up to 180° to write the equation:

angle EAD + angle ADE + angle DEA = 180°.

Since E is the midpoint of DB, we can conclude that angle ADE is equal to angle CDE. Angle DEA is equal to angle CEA. Therefore, we can rewrite the equation as:

angle EAD + angle CDE + angle CEA = 180°.

We can substitute the values we know: angle CDE is 90° (since it's a right angle), and angle CEA is 50° (since it's vertically opposite to angle CEB).

angle EAD + 90° + 50° = 180°.

Simplifying the equation:

angle EAD = 180° - 90° - 50° = 40°.

Therefore, the size of angle EAD is 40°.

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is the long hand on a clock is on 6 and the shorthand is between 9 and 10 what is the time​

Answers

Answer:

9:30

Step-by-step explanation:

That will be 9:30

Hope this helped

Given that q-5 is a solution of the equation 2(3+x)=3q-3+5x, find the value of q and of x.​

Answers

Answer:

[tex]q=4, x=-1[/tex]

Step-by-step explanation:

The given equation is:

[tex]2(3+x)=3q-3+5x---(1)[/tex]

Since [tex]x=q-5[/tex] is a solution of the equation above, so substitute x=q-5 into (1) as follows:

[tex]2(3+q-5)=3q-3+5(q-5)\\2(q-2)=3q-3+5q-25\\2(q-2)=8q-28\\q-2=4q-14\\4q-q=-2+14\\3q=12\\q=4[/tex]

Then, it follows:

[tex]x=q-5\\\therefore x=4-5=-1[/tex]

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