well, we know the center of the circle is at (7 , 9), and we also know that a point right on the circle is at (4 ,5), now, the distance between those two points is simply the radius, keeping in mind that the diameter is simply twice the radius
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~4 - 7~~)^2 + (~~5 - 9~~)^2} \implies r=\sqrt{(4 -7)^2 + (5 -9)^2} \\\\\\ r=\sqrt{( -3 )^2 + ( -4 )^2} \implies r=\sqrt{ 9 + 16 } \implies r=5~\hfill \underset{diameter}{\stackrel{2(5)}{10}}[/tex]
The area of a triangular pendant on a necklace is square inch. The height of the
triangle is 14 inches. What is the length of the base of the triangle?
Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.
What is the length of the base of the triangular pendant?The area of a triangle is expressed as;
A = 1/2 × base × height
Given the data in the question;
Area of the triangular pendant A = 70 square inchHeight h = 14inBase = ?To determine the base of the triangular pendant, we plug the values into the equation above.
A = 1/2 × base × height
70 = 1/2 × base × 14
70 = 14/2 × base
70 = 7 × base
base = 70/7
base = 10 inches
Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.
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Does 1/6, -3, √7, -6/5, or 4.5 come first when the numbers are listed from least to greatest? Explain.
Answer:
-3
Step-by-step explanation:
The smallest one is chosen between the two negatives as all the rest are greater.
- 3 is smaller than - 6/5= -1.2 as 3 > 1.2
the answer is -3
6 ÷ 1/4 I need help quick
Answer: your answer is 1 and 1/2
Step-by-step explanation:
a circle has a radius of 3m. find the length s of the arc intercepted by a central angle of 2pi/3 radians
Answer:?
Step-by-step explanation:
Can somebody help me if you know what this is
Answer:
C
Step-by-step explanation:
what is the greatest common factor of 72 and 54 ?
in other words, what is the biggest number that divides both numbers without remainder ?
I use a prime factor analysis (identify all the prime factors).
72 :
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 2 no
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
72 = 2⁴×3²
54 :
54 ÷ 2 = 27
27 ÷ 2 no
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
54 = 2×3³
the largest number that can divide them both without remainder is the combination of the prime factors they have in common :
2 × 3² = 18
50 PTS
Which relation is a function?
Answer:
Options C and DStep-by-step explanation:
Looking at the graphs we can state that:
A) Not a function as it fails the vertical line test. The three points has same x-coordinate of -1.
B) Not a function as it fails the vertical line test. The three points has same x-coordinate of 1.
C) Is a function as each x-value has a unique y-value:
(-3, 2), (- 1, 1), (0, - 3), (4, 1)Passes the vertical line testD) Is a function as each x-value has a unique y-value:
(-3, -2), (-2, - 1), (0, 3), (1, 0), (2, - 3)Passes the vertical line testlength of each side of a regular polygon is 6.4cm complete the error interval for the perimeter
The length of each side of a regular pentagon
a)6.4cm
b) 32cm
a) A pentagon is 6.4cm to 1 decimal place it can see that the answer.
b) A pentagon has 5 sides.
The Pentagon was originally intended to be built on ground that had five sides surrounded by roadways, therefore the architects created a five-sided structure. The Pentagon serves as the Department of Defense of the United States' administrative center. During World War II, it was built on an accelerated schedule.
Any five-sided polygon or 5-gon is referred to as a pentagon in geometry (from the Greek word pente meaning five and gonia meaning angle). In a straightforward pentagon, the interior angles add up to 540°. A pentagon could be straightforward or self-intersect. A pentagram is a self-intersecting regular pentagon (sometimes known as a star pentagon).
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Let f(x) - 3 and g(x)=8+11
1/-(x+1) = 1/-x-1
true or false
Given that x is rational
By the property of addition, if 1 is added to any number, it exceeds the next number and doesn't remain the same.
Hence, x + 1 is not equal to x
The given statement is false.
Try This: For every rational number x, x + 0 = x. Is it true or false?
By the property of additive identity, any number added with 0, remains the same.
Hence, x + 0 = x, the given statement is true!
1. The y-intercept of the graph of an equation will _____have a y-coordinate of 0.
2. If a linear equation contains only one variable, its graph will ______ pass through the origin.
3. True or false: The graph of Ax + By = 0 will always pass through the origin.
Using function concepts, it is found that:
1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.
2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.
3. The statement is true.
What is the y-intercept of a function?The y-intercept of a function is the value of f(x) when x = 0, that is, the value of y for which the function crosses the y-axis.
If the function crosses the y-axis at y = 0, it will have a y-coordinate of 0, hence:
1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.
One example of linear equation with one variable is: y = 0.
Which passes through the origin, but y = 2 does not, hence:
2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.
In item 3, the intercept is of By = 0 -> y = 0, hence when x = 0, y = 0, meaning that the statement is true, as the function will always pass through the origin.
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Brainliest, 40 pts, & 5-stars.
Consider the following polygon. Determine the measure of both angles A and B. Show your work. (Note: image is not drawn to scale)
Considering the sum of the internal angles of the polygon, it is found that the measures of the angles A and B are given as follows;
Angle A: 119º.Angle B: 93º.What is the sum of the internal angles of a polygon?The sum of the internal angles of a polygon with n vertices is given by the following equation:
S = (n - 2) x 180º.
For this problem, the polygon has 6 vertices, hence n = 6 and the sum is given by:
S = (6 - 2) x 180º = 720º.
Considering each internal angle, we can solve for x as follows:
13x + 2 + 16x + 7 + 88 + 155 + 170 + 95 = 720
29x + 517 = 720
29x = 203
x = 203/29
x = 7.
Then the measures are given as follows:
Angle A: 16 x 7 + 7 = 119º.Angle B: 13 x 7 + 2 = 93º.More can be learned about the sum of the internal angles of a polygon at https://brainly.com/question/224658
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cjbvgfdy bfhjcbtyfevg7 nfeduvg uefbf tykvybleybvuyfvb yufe
Answer:
Suggestions:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
Step-by-step explanation:
Argyle wants to make T-shirts for students. Customink is willing to offer a deal with the school that each shirt will cost $5 plus a $50 fee for each shirt color. Argyle wants to make a teal and a purple shirt.
Write an equation that shows the total cost (t) for the shirts (s) made on two different colors. Also explain what the variables and constraints are.
Answer:
See explanation
Step-by-step explanation:
c=different number of colors
t=5s+50c ==> c=2
t=5s+50(2)
t=5s+100
5 is the cost of making each shirt and 50 is the cost of making shirts in one color. Hence, 50c is the cost of making shirts in c number of colors and 5s is the cost of making s number of shirts. 50c translates to 50(2) since shirts are made in two colors, so 50(2)=100. 100 dollars is the total cost of making shirts in 2 different colors.
Use the diagram to complete the task. Move a number to each line to show the ratio of squares to pentagons.
Answer:
use gauth math
Step-by-step explanation:
Question 5(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write and solve an equation that represents the following math sentence.
Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.
26 13.5+- m=5
m
2.5
26=13.5+m; m = 31.25
2.5
26 13.5+ 2.5m; m = 5
O26 13.5+2.5m; m = 31.25
The expression of the statement is 26 = 13.5 + m/2.5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
What are rational expressions?Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.
This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals
How to determine the rational expression?The mathematical statement is given as
Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.
Let the number be m
So, we have
Twenty-six equals the sum of 13.5 and the quotient of m and 2.5.
Quotient means divide
So, we have
Twenty-six equals the sum of 13.5 and m/2.5
Sum means addition
So, we have
Twenty-six equals 13.5 + m/2.5
Equals means =
So, we have
Twenty-six = 13.5 + m/2.5
Rewrite as
26 = 13.5 + m/2.5
Hence, the expression of the statement is 26 = 13.5 + m/2.5
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Answer:
A. 26 = 13.5 + m/2.5; m = 5 is the correct equation and solution.
To explain, the word "quotient" indicates that we need to divide a number by 2.5. Let the unknown number be represented by the variable "m". Then, the quotient of a number and 2.5 can be written as m/2.5. The math sentence can be written as: 26 = 13.5 + m/2.5
To solve for "m", we can isolate it by subtracting 13.5 from both sides and then multiplying both sides by 2.5:
26 - 13.5 = m/2.5
12.5 = m/2.5
m = 12.5 * 2.5
m = 5
Therefore, the equation that represents the given math sentence is 26 = 13.5 + m/2.5, and the solution is m = 5. Option a is correct.
1 is subtracted from the cube of a number.
The expression of the statement is x^3 - 1
How to determine the expression?The mathematical statement is given as
1 is subtracted from the cube of a number.
Let the number be x
So, we have
1 is subtracted from the cube of x
The cube of x is x^3
So, we have
1 is subtracted from x^3
Rewrite as
x^3 - 1
Hence, the expression of the statement is x^3 - 1
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The heights of women aged 20-29 in the United States are
approximately Normal with mean 64.1 inches and standard
deviation 3.7 inches. Men the same age have mean height
69.4 inches, with standard deviation 3.1 inches.
Cheryl D. Fyar et al., "Anthropometric reference data for children and adults:
United States, 2011-2014, Val and Health Statistics, Series 3, no. 39 (August
2016), at www.ode govchs. This report provides the means of various
anthropometric measurements. Standard deviations were computed from the
sample size and reported standard errors of the mean. Instructions on
measuring upper arm length are in the National Health and Nutrition
Examination Survey: Anthropometry Procedures Manual, January 2007.
M
B
O
Surat pen
What is the z-score for a woman 5.5 feet tall? Give your
answer to two decimal places.
-1.16
Incorrect
N
Sep 8
10:28
Using the normal distribution, the z-score of the height of a women 5.5 feet tall is 0.51.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Considering that each feet has 12 inches, the parameters are given as follows:
[tex]X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7[/tex]
Hence the z-score is found as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (66 - 64.1)/3.7
Z = 0.51
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5. Give the ratio of boys to girls in a class if there are 15 boys and 18 girls.
definition for piecewise function
Answer:
A piecewise function is a function that is defined by different formulas or functions for each given interval.A non-void subset of A x B is a function from A to B if each element of A appears in some ordered pair in f and no two pairs ...Let f: A → B.
HELP on 53. It’s asking you to explain for 53. Need help with 53 three please. I will give a whole lot of extra points and a Brainly for whoever does it.
Step-by-step explanation:
Is true, even if we are not given the truth values of q, r and s.
Find the rate of change from 2012 to 2015
Answer:
3 years
Step-by-step explanation:
3.71 thousand in ordinary notation
3.71 thousand is written as 3,710
In figures, the digits in 3.71 thousand are separated with commas and written as 3,710.
The number 1 thousand in numbers is 1000 . Therefore, if we want to find x thousand in number form, we want to find x copies of 1000 in number form. To do this, we simply multiply x by 1000.
x thousand = x × 1000
This gives that to find 3.71 thousand in numbers, we multiply 3.71 times 1000.
3.71 × 1000 = 3710
If we want to write 3.71 thousand in words, then it will be written as
three thousand seven hundred ten.
Therefore, 3.71 thousand as a number is 3710 and It has 1 zeros.
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How is using mental math to add money like using mental math to add whole numbers? How is it different?
Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same. The difference is that;
Money addition is always in base ten and The unit is always same with the unit of the particular currency used.What is mental math?
The term mental math refers to the method of completing mathematical calculations without the use of calculator or pen and paper. This is actual solving a mathematical problem and not memorizing answers. It is a quality one learns over time after understanding how to solve the problem.
Mental math covers addition subtraction and other mathematical solution methods. It is used to make calculations simpler and fairly easier.
'what is whole numbers?This is a number that is not expressed as fraction or decimals. examples of whole numbers are 2, 5, 17, 200, -85 and so on. addition of such numbers can be done with mental math.
Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same. The difference is that: Money addition is always in base ten and the unit is always same with the unit of the particular currency used. However whole numbers may occur is units outside the unit of money and in other number bases that is not base ten
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Mathematics, 26.09.2021 14:00, aliyahgregory
Point Q is the midpoint of segment PR. QR = 18 and PR = 5x+6.
Applying the definition of the midpoint of a segment, we have:
x = 6
PR = 36 units
What is the Midpoint of a Line Segment?If point Q is the midpoint of segment PR, it therefore means that point Q bisects (divides) line segment PR into two equal parts, namely: PQ = QR.
Also, PQ + QR = PR
Given the following:
QR = 18
PR = 5x + 6
Thus, we can create the following equation:
2(QR) = PR
Substitute
2(18) = 5x + 6
36 = 5x + 6
36 - 6= 5x + 6 - 6
30 = 5x
30/5 = 5x/5
6 = x
x = 6
PR = 5x + 6
Plug in the value of x
PR = 5(6) + 6
PR = 36 units
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Solve for w.
5w² = -13w+6
Answer:
W = -3
Alternatively 2/5
Answer:
2/5,-3 or 0.4,-3 Bainlist please
Step-by-step explanation:
Work out the outer surface area of this open top box. 9m 3m 2m
The outer surface area of this open top box is 102 [tex]m^{2}[/tex].
What is surface area?The outer surface area of this open top box is given by SA=2lw+2lh+2hw
l = 9m
w= 3m
h = 2m
SA = 2×9×3 + 2×3×2 + 2×2×9
SA = 102 [tex]m^{2}[/tex]
The quantity of space enclosing the exterior of a three-dimensional shape is its surface area.
By summing the areas of the base, top, and lateral surfaces (sides) of the object, one may determine the total surface area. This is accomplished by measuring in square units and applying various area calculations.
The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
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Please help I will give Brainly pls !
Answer:
The student's GPA is 3.12
Step-by-step explanation:
Multiply the grade by the weight to determine the grade point;
= (3.8 x 5) + (2.4 x 3) + (3.1 x 5) + (2.9 x 5)
= 19 + 7.2 + 15.5 + 14.5
= 56.2
Total weight = 5 + 3 + 5 + 5 = 18
GPA = 56.2/18
=3.12
Denise and Stacey went to a carnival. The admission fee was $6 per person.
Each ride at the carnival costs c dollars. The game booths charged g dollars
for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3
games, while Denise played 2 games. Which expression represents the total
amount of money that Denise and Stacey spent at the carnival?
In which situation would the result be 0?
Answer:
C, adding -1 1/2 to the coordinate of point J.
Step-by-step explanation:
J= 1 1/5
Equation : 1 1/5+(-1 1/2)
Use distributive property and by multiplying the + sign by the negative #, you get a negative.
- positive x negative = negative
So, : 1 1/5-1 1/5
= 0
Almost any kind of quantitative data can be represented by a graph and some of these graphs represent functions. This is why functions and graphs are the objects analyzed by calculus. The next two problems illustrate data which can be represented by a graph. Match the following descriptions with their graphs below:
Using the relation between velocity, distance and time, the items and graphs are matched as follows:
1. D.
2. B.
3. A.
4. C.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
Hence the distance is given by:
d = vt.
Along a city street, we have that:
The velocity would have a few peaks and few moments where it diminishes, due to breaking moments, hence item 4 matches with graph c.The distance would have a few slow increases and a few moments where it remains almost constant, hence item 1 matches with graph 4.We can verify this that when graph C(velocity) is zero, graph D(position) is constant.
Along a superhighway we have that:
The velocity would increase until the maximum velocity then remain constant there, hence item 3 matches with graph a.The distance would have an almost constant increase, hence item 2 matches with graph b.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
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