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3 years ago

The length of a rectangle is 6m longer than its width. If the perimeter of the rectangle is 52m, find its area

1 answer:

4 0

If length is x, then width is 6+x
Perimeter = 2*(x + 6+x) = 52 
2*6 + 2*2x = 52 
4x = 52 - 12 = 40 
x = 40/4 = 10 

Area = length*width = 10*(6+10) 
Area = 10*16 = 160 meter square

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Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Elodia [21]

Answer:

33 degrees

Step-by-step explanation:

(4x+1) and (2x-19) add up to 180 degrees

$(4x+1)+(2x-19)=180\\6x-18=180\\6x=198\\x=33$

3 0

2 years ago

Estimate the solution to the system of equations. 7x−y=7 x+2y=6

ElenaW [278]

Answer:

I am not sure how your teacher wanted you to estimate the answer but I solved it for you. Hopefully this helps.

Step-by-step explanation:

7x-y=7

x+2y=6

14x-2y=14

x+2y=6

add both equations

15x=20

x=20/15

x=4/3

x+2y=6

4/3+2y=6

2y=6-4/3

2y=18/3 -4/3

2y=14/3

divide both sides by 2

y= 14/3 divided by 2

y=14/3(1/2)

y=14/6

2y=

3 0

2 years ago

Rectangular prism is 7 feet wide and 3 feet high. Its volume is 189 cubic feet. What is the length of the rectangular prism?

pshichka [43]

The length is 9 feet.
The formula for Area is A= L*W*H.
You are given A=189, W= 7 feet and H= 3 feet. Solve formula for
L.
189= L*7* 3
189=21 L
Divide both sides by 21 to solve for L
189/21 = 21L/21
9=L

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2 years ago

Hey I really need help in this can someone help me pls and thank you

mote1985 [20]

Answer:

12 ¼

Step-by-step explanation:

if you add the 16ths its up to 4 16ths, simplified that is ¼. then you add the 3s, 3 × 4 is 12. add the two, 12 ¼

3 0

2 years ago