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2 years ago

What do you know about the hypotenuse of triangle abc

Mathematics

1 answer:

Rzqust [24]2 years ago

7 0

Step-by-step explanation:

it is the longest side of the triangle and to find it we must appy a formula c square =a square + b square..thats all i know hehe

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Can you help me find the volume base area latera area and total area please to this problem

krek1111 [17]

Answer:

BA = 25π,

LA = 25√2π,

TA = 25π + 25√2π,

V = 41 and 2 / 3π

Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

______

Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

$\pi r^2\\= \pi ( 5 )^2\\= 25\pi$ - Base Area = 25π

______

The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, $l= \sqrt{r^2+h^2}$ -

$\pi r( \sqrt{r^2+h^2} )\\= \pi( 5 )( \sqrt{5^2 + 5^2} )\\= 25\sqrt{2} \pi$ - Lateral Area = 25√2π

______

And the surface area is the base area + lateral area -

$25\pi + 25\sqrt{2} \pi$ - Surface Area

______

The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -

$1 / 3( 25\pi )( 5 )\\= 25 / 3( 5 )( \pi )\\= 41 \frac{2}{3}\pi$ - Volume = 41 and 2 / 3π

8 0

2 years ago

Keisha had $54 when she went to a bookstore. She

storchak [24]

54 - a = 12 i believe

4 0

3 years ago

Read 2 more answers

Delta Math! Please help.

vodka [1.7K]

Answer:

x = 1.5 $\sqrt{3}$

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{3}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 3 $\sqrt{3}$ ( divide both sides by 2 )

x = 1.5 $\sqrt{3}$

6 0

2 years ago

Read 2 more answers

Repeat the following procedure for the four given numbers Multiply the number by 8. Add 6 to the product . Divide this sum by 2.

seropon [69]

Answer:

Step-by-step explanation: Given:1st no. is 3

3×8=24

24+6=30

30/2=15

15-3=<u>12</u>

therefore,ans is 12

5 0

3 years ago

Read 2 more answers

Find the unknown side length

Westkost [7]

For any right triangle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that for any right triangle, the legs when squared and added together will be equal to the hypotenuse squared.

In mathematical notation: $a^2 + b^2 = c^2$

Where the variables a and b are the legs and the variable c is the hypotenuse.

Because we know the two side lengths of the triangle, we can solve for the unknown side.

We know the length of one of the legs and the hypotenuse.

Plug in the values.

$10^2 + b^2 = 24^2 \\ \\ 
100 + b^2 = 576 \\ \\ 
b^2 = 476 \\ \\ 
$

$b = \sqrt{476}$

So, the square root of 476 is the unknown length.

3 0

3 years ago