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3 years ago

What is the volume of a cone with the same radius and height as the cylinder?

Mathematics

1 answer:

arlik [135]3 years ago

4 0

Answer:44 cm3

Step-by-step explanation:

I took the test

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

a_sh-v [17]

Part 1) 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

the answer part 1) is

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

Part 2) 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

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

Find the area of the circle

$A=\pi r^{2}$

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

$A=352.8104\ cm^{2}$

Find the area of the sector

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

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

3 years ago

Which of the following is equivalent to –2i(6 – 7i)? (0 – 2i)(6 – 7i) (0 + 2i)(6 – 7i) (–2 + i)(6 – 7i) (6 – 2i) – (7i – 2i)

Mariulka [41]

Answer:

The expression which is equivalent to –2i(6 – 7i) is; (0 – 2i)(6 – 7i)

4 0

2 years ago

X + y = so please help me out

sladkih [1.3K]

Answer: x + y = z

Example:

Lets say if x 5 and y is 10 then z would equal 15.

5 + 10 = 15

Hope this helped! :)

3 0

3 years ago

2x - 5 > -9 solve inequality

n200080 [17]

Answer:

x>-2

Step-by-step explanation:

first you want to get rid of all of the numbers on the left so you can only be left with 2x>-4 then you decide both sides by 2x because you only want to be left with one x and once you divide you will be left with x>-2

3 0

2 years ago

The sum of two consecutive integers is − 17 -17. find the numbers

UkoKoshka [18]

I think it might be -76

4 0

3 years ago