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2 years ago

For this right triangle drawn on the coordinate plane what calculation could be used to find the length of a C?

Mathematics

2 answers:

Crazy boy [7]2 years ago

6 0

Answer:

AB^2 + BC^2 = AC^2

Step-by-step explanation:

the pythagorean theorem( a^2 + b^2 = c^2) is used to solve for the hypotenuse which in this case is AC

^2 means squared incase you didnt know

hope this helped!

Yuki888 [10]2 years ago

5 0

A^2 + b^2 = c^2 is the equation you use

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What is the ratio of the area of the inner square to the area of the outer square?

Anastasy [175]

Answer:

$\frac{(a-b)^2+b^2}{a^2}$

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

$=\sqrt{(a-b-0)^2+(0-b)^2}$

$=\sqrt{(a-b)^2+b^2}$

Thus the area of the inner square = (side)²

$=(\sqrt{(a-b)^2+b^2})^2$

$=(a-b)^2+b^2\text{ square cm}$

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

$=\sqrt{(a-0)^2+0^2}$

$=\sqrt{a^2}=a$

Thus, the area of the outer square = (side)²

$=a^2\text{ square cm}$

Hence, the ratio of the area of the inner square to the area of the outer square

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

4 0

2 years ago

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marshall27 [118]

Answer:

Step-by-step explanation:

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3 years ago

Find the volume of a right circular cone that has a height of 10.7 in and a base with a diameter of 8.1 in. Round your answer to

scoundrel [369]

Answer:

$V = \pi r^2 h$

And for this case the value for the height is $h = 10.7 in$ the diameter is provided $D = 2r = 8.1 in$ so then the radius is given by:

$r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in$

Then we can find the volume with the first formula and replacing we got:

$V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3$

The final answer for this case would be 551.4 cubic inches

Step-by-step explanation:

The volume for a right circular cone is given by this formula:

$V = \pi r^2 h$

And for this case the value for the height is $h = 10.7 in$ the diameter is provided $D = 2r = 8.1 in$ so then the radius is given by:

$r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in$

Then we can find the volume with the first formula and replacing we got:

$V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3$

The final answer for this case would be 551.4 cubic inches

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3 years ago

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How could you use compensation to find 391-26

almond37 [142]

This equals 365 i know that is not what you ask but this is what i know

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2 years ago

What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a<br><br> meter?

Andrej [43]

Answer:

3.553774

Step-by-step explanation:

$\frac{2}{3} \pi {r}^{3} = 94$

works out to 3.553774

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2 years ago