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3 years ago

5

Write the equation of an exponential function of the form y=ab^x+k that passes through the points (1,21) and (3,861) and has the

asymptote y=-3

1 answer:

mars1129 [50]3 years ago

3 0

Answer:

-3

Step-by-step explanation:

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1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

<u>the answer part 1) is</u>

The area of the circle is $1,215.18\ yd^{2}$

<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

<u>Find the area of the circle</u>

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

<u>Find the area of the sector</u>

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

<u>the answer part 2) is</u>

the area of the sector is

$105.84\ cm^{2}$

7 0

3 years ago

Find the volume of the given prism. Round to the nearest tenth if necessary.

Alisiya [41]

Hello!

To find the volume of a rectangular prism you do hwl

h is height
w is width
l is length

4.2 * 5.3 * 12.1 = 269.346

The answer is 269.3 cubic centimeters

Hope this helps!

6 0

3 years ago

A 2-digit number is one more than 6 times the sum of its digits. If the digits are reversed, the new number is 9 less than the o

kramer

Answer:

I think the answer is 43

8 0

3 years ago

1. MAKE SURE TO WAIT UNTIL YOU HAVE MATH CLASS BEFORE STARTING 5 points

andrew-mc [135]

Answer:

340/4

Step-by-step explanation:

i beleive the answer would be 340 = 4 but if 340/4 is an option you could choose it.

8 0

3 years ago

How do I work this out

Yuri [45]

Answer:

the total number of blocks is 69

Step-by-step explanation:

the way you can find this is by counting all the outside blocks on the closest side (23) and multiplying it by the the width of the blocks on the right side (3)

6 0

3 years ago