Ask question

Ask question

All categories

4 years ago

6

The perimeter of a rectangular pool is 180 yes. The length is 10yds more than the width. Find the length and the width of the po

ol

1 answer:

White raven [17]4 years ago

7 0

Answer:

Width: 85 yards

Length: 95 yards

Step-by-step explanation:

Ok, so we need to make an equation for this problem. Let's call the width, w. We know that the length is 10 more than the width, so we can call it w +10.

180 = w + w + 10

Now, i order to isolate the w's we need to subtract 10 from each side.

170 = 2w

Now, we just have to divide by 2 on both sides.

W = 85

So we now know that the width is 85 and because the length is 10 more, the length is 95 yds.

You might be interested in

Milton needs to find the product of two numbers. one of the numbers is 9. The answer also needs to be 9. how will he solve this

galben [10]

The answer to this problem is one because nine times one equals nine which the answer is still nine

6 0

3 years ago

Please help me understand more about it so I can do it myself! So it’s about proportions. The problem is x/7 = 6/8

sasho [114]

Answer: 5¼

Step-by-step explanation:

x/7 = 6/8

8x = 42

x = 5¼

7 0

4 years ago

Prove it. this question is from trigonometry

konstantin123 [22]

Answer:

See below for step-by-step proof.

Step-by-step explanation:

$\textsf{Given expression}:$

$\cos^6 \theta+\sin^6 \theta$

$\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:$

$\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3$

$\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):$

$\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)$

$\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:$

$\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)$

$\implies 1-3 \cos^2 \theta\sin^2 \theta$

$\implies 1-3 (\cos \theta\sin \theta)^2$

$\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:$

$\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2$

$\implies 1-\dfrac{3}{4} \sin^2 2 \theta$

$\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta$

$\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)$

$\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\textsf{Factor out }\dfrac{1}{4}:$

$\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)$

$\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:$

$\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)$

$\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)$

$\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)$

$\implies \dfrac{1}{4} \cdot \dfrac{1}{2}\left(5+3\cos 4 \theta\right)$

$\implies \dfrac{1}{8}\left(5+3\cos 4 \theta\right)$

6 0

2 years ago

Which of the following are true for the conditional statement p → q ? Select all that apply.

Lostsunrise [7]

If p then q. P, therefore q.

5 0

3 years ago

I need help answering this!!! I just need help on how to do it or fragments of an answer. If you give me the straight-up answer

Marizza181 [45]

First part 3x+(-5)=19 you need to remove parenthesis move the constant -5 to the right to have 3x=19+5 then add those to get 3x=24 then divide to get x=8

8 0

3 years ago