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3 years ago

If X = 16 feet and Y = 8 feet, what is the area of the figure above ? Use 3.14 for pi .

Mathematics

1 answer:

Setler [38]3 years ago

5 0

Answer:

Step-by-step explanation:

You can probably figure out the rectangle of 16 by 8 so no explaining there. 16×8=128. You know that diameter of the cirkel is equal to y so 8. The diameter of a cirkel is two times its radius. so 8=2r. r=4. The area of a cirkel is calculated by the formula \pi×r^2. Fill in r=4 in \pi×r^2 gives us \pi×4^2=16\pi. You only have half of the cirkel so 16\pi/2=8\pi. 128+8\pi=153.12 which is A.

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Help! I have looked at so many lessons on writing exponential functions from a graph and nothing has helped.

Over [174]

Answer:

y = $8(-\frac{1}{2})^x$

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points $(4, \frac{1}{2})$ and (3, -1)

For the point $(4, \frac{1}{2})$ ,

$\frac{1}{2}=a(b)^4$ ---------(1)

For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

$\frac{\frac{1}{2}}{-1}$ = $\frac{a(b)^4}{a(b)^3}$

$-\frac{1}{2}=b^{(4-3)}$

$-\frac{1}{2}=b$

From equation (2)

-1 = $a(-\frac{1}{2})^3$

-1 = $-\frac{1}{8}a$

a = 8

Therefore, equation of the exponential function will be,

y = $8(-\frac{1}{2})^x$

4 0

3 years ago

Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a

pychu [463]

Answer:

113.04 cubic inches.

Step-by-step explanation:

We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.

To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.

$\text{Volume of cylinder}=\pi r^2h$ , where,

r = Radius of cylinder,

h = Height of cylinder.

First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.

$\text{Radius}=\frac{2\text{ inches}}{2}$

$\text{Radius}=1\text{ inch}$

Upon substituting our given values in volume formula we will get,

$\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}$

$\text{Volume of can}=18.84\text{ inch}^3$

Therefore, one can of soft drink contains 18.84 cubic inches of drink.

To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.

$\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3$

$\text{Volume of 6 cans}=113.04\text{ inch}^3$

Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.

4 0

3 years ago

Complete the square x^2-12x+

KIM [24]

Answer:

x²-12x+36

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

1. Find the length of AB if A is (3,6) and B is (-3,2)

In-s [12.5K]

Answer:

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Hope this helped!

5 0

3 years ago

Read 2 more answers

!!!Please help!!!

Ahat [919]

2 square root of 3(im like 98% sure)

3 0

3 years ago