MATHEMATICS MIDDLE SCHOOL

If a cone has a surface area of 822.78cm^2 and a diameter of 18cm, find the slant height of the cone

Answers

Answer 1

Answer:

Answer:

$20.11\ cm$

Step-by-step explanation:

we know that

The surface area of the cone is equal to

$SA=\pi r^(2)+\pi rl$

where

r is the radius

l is the slant height

In this problem we have

$SA=822.78\ cm^(2)$

$r=18/2=9\ cm$ -----> the radius is half the diameter

substitute and solve for l

$822.78=\pi (9)^(2)+\pi (9)l$

$822.78=81\pi +9\pi l$

$l=(822.78-81\pi)/9\pi$

$l=(822.78-81(3.14))/9(3.14)=20.11\ cm$

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What is 25/1000 reduced

Answers

When we are reducing we divide numerator and denomerator by the same number.
$(25)/(1000)= (25:5)/(1000:5)= (5)/(200)= (5:5)/(200:5)= (1)/(40)$ - its reducoed form

How would you simplify 11/66 and 12/24?

Answers

Well, think about if the first number can go into the second number or not.

11 can go into 66 6x, so the answer would be 1/6.

12 can go into 24 2x, so the answer would be 1/2.

Thanks for the opportunity to answer your question and I hope I helped. :)

for the first one you would divide the top and bottom number both by 11 and get 1/6. for the secong one you would divide the top and nottom number both by 12 and you would get 1/2

Write two ways you could use to find 5+8

Answers

1 group of 5 and 1 of 8

draw 5 dots and 8 and count them together

5 dots and 8 dots easy

What is 5/6 take away 2/3

Answers

5/6- 2/3= 1/6.

The final answer is 1/6.

the answer is 1/6 hope this help

The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse? (4 points) Group of answer choices square root 33 units square root 65 units 33 units 65 units

Answers

Answer:

65 square root

Step-by-step explanation:

I’m smart

Logan takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 13 inches long and the width of the fabric is 5 inches. What is the fabric's length?