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2 years ago

Find the surface area of the following in cubic inches.

Mathematics

1 answer:

Alenkasestr [34]2 years ago

7 0

Answer:

427.04 in²

Step-by-step explanation:

Surface area = 2 $\pi$ rh + 2 $\pi$ r²

$A = 2\pi (8)(0.5) + 2\pi 8^2$

$A = 2\pi 4 + 2\pi 64$

$A = 25.12 + 401.92$

$A = 427.04$

So, the surface area of the cylinder is 427.04 in² which is answer choice D.

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How many minutes are in nine and one fourth hours?

saveliy_v [14]

Answer:

555 minutes

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3 years ago

Read 2 more answers

Find the area of the irregular figure. Round to the nearest hundredth.

RSB [31]

Answer:

$67.5\text{ [square units]}$

Step-by-step explanation:

The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.

Formulas:

Area of rectangle with base $b$ and height $h$ : $A=bh$
Area of triangle with base $b$ and height $h$ : $A=\frac{1}{2}bh$

By definition, the base and height must intersect at a 90 degree angle.

The rectangle has a base of 10 and a height of 5. Therefore, its area is $A=10\cdot 5=50$ .

The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is $A=\frac{1}{2}\cdot 2\cdot 5=5$ .

Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is $A=\frac{1}{2}\cdot 5\cdot 5=12.5$ .

Thus, the area of the total irregular figure is:

$50+5+12.5=\boxed{67.5\text{ [square units]}}$

7 0

3 years ago

In triangle ABC, medians AD, BF, and CE intersect at G. What is the length of GE is CH=12?

sashaice [31]

You do not have any point labeled "H" in your diagram.

What I can tell you is that point "G" (where all 3 medians meet) is called a centroid.

Along each median:
the distance from EACH vertex to the centroid (point G) is TWICE the distance from the centroid to the side.
CG = 2*GE AG = 2*GD BG = 2*GF

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=x%20%2B%205%20%20%5Cgeqslant%2012%20%5C%5C%20" id="TexFormula1" title="x + 5 \geqslant 12 \\

N76 [4]

Hello from MrBillDoesMath!

Answer:

x >= 7

Discussion:

x + 5 >= 12 => add -5 to both sides

x + 5 -5 >= 12 - 5 => as 5-5 = 0 and 12 =5 = 7

x >= 7

Thank you,

MrB

6 0

3 years ago

Systems of elimination for 2w-3q=8 3w-7q=7

zlopas [31]

i guess is by multiplying 3by the first equation and multiply 2by the second equation

8 0

2 years ago