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3 years ago

Name a supplementary angle

Mathematics

1 answer:

elena-s [515]3 years ago

7 0

Answer:

60° and 120° are supplementary angles. 93° and 87° are supplementary angles.

They are supplementary angles because they form an 180º angle together.

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Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. Th

Naya [18.7K]

Answer:

39.25 cubic feet of paint will be needed by Ellis.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder of radius r and height h is given by:

$V = \pi r^2h = 3.14r^2h$

How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?

This is the combined volume of these 10 fenceposts.

They are each 5 feet tall and have a diameter of 1 foot.

Radius is half the diameter, so $r = \frac{1}{2} = 0.5$ . Also $h = 5$

10 fenceposts:

Each has the same volume, so:

$V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25$

39.25 cubic feet of paint will be needed by Ellis.

6 0

2 years ago

Answer C and D please

DENIUS [597]

Answer:

C. solution:

3(3c-2) = 5(2c-1)

or, 9c-6 = 10c-5

or, -6+5 =<em> </em>10c-9c

or, -1 = 1c

Hence, c = -1.

D. solution:

5(5-2a) = 4(6-a)

or, 25-10a = 24 - 4a

or, 25-24 = -4a+10a

or, 1 = 6a

or, 1/6 = a

Hence, a = 1/6.

6 0

2 years ago

Need help ASAP

faust18 [17]

Area of a circle = pi x r^2

200.96 = pi x r^2

200.96 = 3.14 x r^2

r^2 = 64

r = 8 inches

Hope this helps!! :)

8 0

2 years ago

Read 2 more answers

What is the best next step in the construction of the perpendicular bisector <br> AB?

qaws [65]

“A” is the answer i believe !

hope this helps

3 0

2 years ago

How to integrate ∫㏑x/χ<br> from 1 to e

Natali [406]

$\int_1^e\dfrac{\ln x}{x}dx,~\text{if}~u=\ln x\to x=e^u\to dx=e^udu\\\\\text{So, finding the new limits:}\begin{cases}x=1\to u=\ln1\to u=0\\x=e\to u=\ln e\to u=1\end{cases}\\\\
\int_1^e\dfrac{\ln x}{x}dx=\int_0^1\dfrac{u}{e^u}e^udu=\int_0^1u\,du=\left[\dfrac{u^2}{2}\right]_0^1=\dfrac{1^2}{2}-\dfrac{0^2}{2}=\dfrac{1}{2}\\\\
\boxed{\int_1^e\dfrac{\ln x}{x}dx=\dfrac{1}{2}}$

6 0

2 years ago