Answer:3x+4/x+1
Step-by-step explanation:
Mr. Petersons rectangular garden had a width of 3 meters and an area of 10 square meters. This year he wants to make the garden three times as long and two times as wide? What are the the measurments of this years garden?
Answer:
Measurements of this years garden are 10 meters and 6 metres.
Step-by-step explanation:
Width of a rectangular garden = 3 meters
Area of a rectangular garden = 10 square meters
Also,
Area of a rectangular garden = length × breadth
10 = length × 3
Length = [tex]\frac{10}{3}[/tex] meters
Mr. Petersons wants to make the garden three times as long and two times as wide.
New length = 3 (length) = [tex]3(\frac{10}{3} )=10[/tex] meters
New breadth = 2(width) = 2(3) = 6 meters.
Therefore,
Measurements of this years garden are 10 meters and 6 metres.
PLZ ANSWER !!!!!!
An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth.
Answer:
289.877 ft
Step-by-step explanation:
You can draw the eagle and mouse by using a right triangle. You know that the height of the triangle will be 280 feet and the distance between eagle and mouse should be the hypotenuse. Since we know the angle and one side of the triangle, we can use trignometry (cosine(angle)=adjacent/hypotenuse). Plug in your values and solve for the hypotenuse.
ILL GIVE BRAINLIEST FOR FIRST ANSWER HELP
What is the volume of this rectangular prism?
Answer:
The answer is 56 cm^3
Step-by-step explanation:
2 = height
7 = length
4 = width
Formula: LxWxH
2 x 7 x 4 = 56
How do you solve for x and y?
Answer:
x = 100, y = 50
Step-by-step explanation:
Make a system of equations:
First, you know that x + y degrees and 30 degrees are on a line together, they add up to 180 degrees:
x + y + 30 = 180
x + y = 150
Next, the interior angles of a triangle always add up to 180 degrees, and since 2y, x/2, and 30 are all the angles in a triangle, you have:
2y + x/2 + 30 = 180
x/2 + 2y = 150
Now, all you have to do is solve the system of equations.
To start, multiply the second equation by 2 to get rid of the fraction:
x + 4y = 300
Then, you can subtract the two equations:
x + 4y = 300
- (x + y = 150)
3y = 150
divide both sides by 3
y = 50
substitute y = 50 into the equation x + y = 150:
x + 50 = 150
x = 100
At the student store, pencils are sold in either packs of three or packs of eight.
Without opening any packages, which numbers of pencils is it possible to buy?
Which numbers are impossible?
Answer
4, 7, 5, 10, 13, .......
Step-by-step explanation:
the only numbers that are impossible to get are the non-multiples of 3 and 8
and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to
Solve this equation:
-5(x - 2) - 3x = -80
Answer:
x=45/4
Decimal Form:
x=11.25
Mixed Number Form:
x=11 1/4
Step-by-step explanation: PLEASE MARK ME BRANLIST AND IF U CAN ANSWER MY QUESTION FROM MY PROFIL WOULD BE NICE.
HAVE A GREAT DAY! ❤️
I really need help
-21a+35
Answer:
-7 (3a - 5)
Step-by-step explanation:
Answer:
[tex] - 7(3a - 5)[/tex]
Step-by-step explanation:
you just have to factor out the common term 7.
If the triangle are similar, write a similarity
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation
Answer:
The triangles are similar due to AAA
Step-by-step explanation:
'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.
Then the triangles are similar due to AAA
Find the two whole numbers that are the closest to √42. Explain your reasoning
The two whole numbers that are the closest to √42 are 6 and 7.
The given number is √42.
What is the square root of a number?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
The square root of √42 =6.48
The two whole numbers that are the closest to √42 are 6 and 7.
Therefore, the two whole numbers that are the closest to √42 are 6 and 7.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
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Graph the line through the points (-6,4) and (0,-4)
Two hundred fifteen people have been invited to a reception. The men get a gift of candy that cost $ 6.95 each, and the women get a gift of flowers that cost $ 8.95 each. If the total cost for gifts was $ 1724.25, how many men and how many women were invited?
what is the value of a + b(4c + 2a)?
Answer:
Step-by-step explanation:
You can't find an exact value, but you can find an simpler expression by using the distributive property.
a + 4bc + 2ab
And that is as much as it can be reduced.
Rewrite the function by completing the square.
f(x) = x^2 + 14x + 64
Step-by-step explanation:
step 1. (x^2 + 14x + 49) + 15
step 2. (x + 7)^2 + 15.
WILL GIVE BRAINLEST Find the measure of the arc or central angle indicated. Assume that lines which
appear to be diameters are actual diameters.
find the measure of arc FHJ
Answer:
It should be 261 degrees.
Step-by-step explanation:
Donte ordered the plans shown to build a skateboard ramp. Each unit represents one foot. He wants to keep the same slope of the ramp and extend the base of the triangle three feet. How tall will the ramp be
Answer:
3 feet
Step-by-step explanation:
The slope of line shows the steepness of that line. It is the ratio of the change in vertical distance to the change in horizontal distance.
The slope of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is:
[tex]slope=\frac{change\ in\ y}{change\ in\ x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the diagram of the ramp, we can see that:
The ramp passes through the point (0,0) and (6, 2). Therefore the slope is:
[tex]slope=\frac{2-0}{6-0}=\frac{1}{3}[/tex]
The base is at 6 ft tall, if we extend the base by 3 units, the base would be 9 ft (6 + 3). The new height would be:
height = slope * base = (1/3) * 9 = 3 feet
If the base is extended by 3 feet, the tall would be 3 feet tall.
HELP ASAP!!Solve for x. Enter the solutions from least to greatest.
X squared minus 5x minus 14=0
lesser x=
greater x=
ayundenme
1) 7 2 − 10 3 − 15 5 −12 2 + 8 3 − 21 4 − 13 5
2) −82 − 213 − 515 −212 + 183 − 74 − 225
3) −82 − 212+1 − 512+2 −212 + 182+1 − 72+2
4) −1.1 2 3 + 2.25 3 4 + 10.1 4 5 1.8 2 3 − 1.2 3 4 − 1.65 4 5
Answer:
I
1)-574 2)-874 3)-902 4)No answer bz have two dismal place
. What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y S4?
A.(-1, -3)
B.(10, -1)
C.(-4, 6)
D.(-2,-8)
3. Which of the following is not a solution to this system?
Answer:
(-1, -3)
Step-by-step explanation:
What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?
Using the coordinate point (-1, 3)
If x = -1 and y = 3
Substitute into the expressions and check if they are true
2x - 7y >5
= 2(-1)-7(-3)
= -2 + 21
= 19
Since 19 is greater than 5, hence the inequality 19 > 5 is true
Substituting into 3x - y < 4
3(-1)-(-3)
= -3 + 3
= 0
Since 0 < 4, hence this is also true for the inequality.
The coordinate point that satisfies the inequality is therefore (-1, -3)
whats the area of 18ft and 32ft as a right triangle
9514 1404 393
Answer:
288 square feet
Step-by-step explanation:
The area of a triangle is given by ...
A = 1/2bh
For a right triangle, the leg lengths can be used for b and h.
A = 1/2(18 ft)(32 ft) = 288 ft²
The area of the right triangle is 288 square feet.
If Maria makes $40 each day at her job, and she gets paid $20 for a training course
Answer:
Where is the rest of the question?
Step-by-step explanation:
40x +20
A flagpole casts a shadow 16 feet long.
Shanika is standing near the pole. Her
shadow is 4 feet long. Shanika's height is 5
feet. How tall is the flagpole?
Step-by-step explanation:
Since Shanika is standing near the pole, we can safely assume that the triangle formed by Shanika and her shadow is a smaller version of the triangle formed by the pole and its shadow.
By similar triangles:
[tex] \frac{x \: of \: pole}{y \: of \: pole} = \frac{x \: of \: shanika}{y \: of \: shanika} \\ \frac{16}{ height \: of \: pole} = \frac{4}{5} \\ 16(5) = 4 \times height \: of \: pole \\ height \: of \: pole = \frac{80}{4} \\ = 20[/tex]
The height of the pole is 20ft.
what’s the slope_____
Answer:
-4
Step-by-step explanation:
The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).
[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]
Simplify the fraction
[tex]= -4[/tex]
Therefore, the slope of the line is equal to -4.
I hope this helps!
Whats 8 2.5% of 75?Write your answer as a decimal.
Carlin pays $ 25 for her monthly phone service and $.02 for each minute m of talk time. Which expression represents her monthly bill?
A. 2m + 25 B. 25m + 0.02 C. .02m + 25 D. 25m + 2
Answer:
I think the answer B
If not then, sorry
10 Points<>I need help ASAP!!!
Answer:
Step-by-step explanation:
A and D
QUESTION: If Z is the incenter of (triangle shape)TUV, find m(triangle shape)ZTV .
x =
m(triangle shape)ZTV = _ degrees
Solution :
It is given that Z is the incenter
So, we get from the figure
[tex]$5x +1= 8x -14$[/tex]
⇒ [tex]$-3x = -15$[/tex]
⇒ x = 5
So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]
We have to find ∠ ZTU.
In Δ UTV,
∠ TUV + ∠ UTV + ∠ TVU = 180°
⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°
⇒ ∠ UTV = 180° - 52° - 42°
= 86°
So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]
[tex]$ = \frac{1}{2} \times 86^\circ$[/tex]
[tex]$=43^\circ$[/tex]
Therefore, m ∠ ZTU = 43°
what kind of number is e?
a.) integer
b.) rational
c.) natural
d.) irrational
Answer:
c.natural
Step-by-step explanation:
The number e , sometimes called the natural number, or Euler's number, is an important mathematical constant approximately equal to 2.71828.
What is the lowest common multiple of 12 and 15?
Answer:
60
Step-by-step explanation:
LCM of 12 and 15
First Method: Listing the multiples
First, write the common multiples of all three numbers.
Common Multiples of 12: 12,24,36,48,60,72,….
Common Multiples of 15: 15, 30, 45, 60, 75,…
Hence, the Least common multiple of 12 and 15 is 60.
Second method: By prime factorisation
Let us write the prime factors of the two numbers individually.
12 = 2 x 2 x 3
15= 3 x 5
Multiply each factor the maximum number of times it occurs in either number
= 2 X 2 X 3 X 5
= 60
LCM of 12 and 15= 60
Answer
LCM of 12 and 15= 60
Hope this helps :)
Answer:
60
Step-by-step explanation:
we have to use prime factorisation method to obtain the answer.
12 and 15 have LCM 60.
What fraction do you multiply 3 by to get 1
90% of e is 30. What is e?
Answer:
27
Step-by-step explanation:
Answer:
e = 33.3 (approx. )Step-by-step explanation:
To find out - 'e'
Given,
90 % of e = 30
[tex] = > \frac{90}{100} \times e = 30[/tex]
[tex] = > e = 30 \times \frac{100}{90} [/tex]
[tex] = > e = \frac{100}{3} [/tex]
=> e = 33.3333......
=> e = 33.3 (approx. ) (Ans)