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3 years ago

Need help! For this question! Thank you

Mathematics

1 answer:

mihalych1998 [28]3 years ago

6 0

You can use this equation $598.30+X=$954.70

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a triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a squ

omeli [17]

Answer:

The lengths of the sides of the square base are $2\sqrt{2}\ units$

Step-by-step explanation:

The correct question is

A triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a square prism has a height of 12 and its volume is equal to that of the triangular prism. what are the dimensions of the square base, in simplest radical form?

we know that

The volume of a prism is given by the formula

$V=Bh$

where

B is the area of the base

h is the height of the prism

If the volumes of the solids are the same and their heights are the same, then the area of the base of the triangular prism must be equal to the area of the base of the square prism

step 1

Find the area of the base of the triangular prism

Remember that in a right isosceles triangle, the two legs are equal

Let

x ---> the length side of each leg

Applying the Pythagorean Theorem

$(\sqrt{32})^2 =2x^2$

$x^2=32/2\\x^2=16\\x=4\ units$

The area of the triangular base is equal to

$A=\frac{1}{2}(4)(4)=8\ units^2$

step 2

Find the dimensions of base of the square prism

Let

b ---> the length side of the square base

The area of a square is given by the formula

$A=b^2$

we have

$A=8\ unit^2$ ----> is the same that the area of triangle

substitute

$8=b^2$

$b=2\sqrt{2}\ units$

therefore

The lengths of the sides of the square base are $2\sqrt{2}\ units$

3 0

3 years ago

a bag contains 20 marbles: 5 red, 5 blue, and 10 yellow what is the possibillity that a red is randomly selected

german

Answer:

25% or 1/4 chance.

Step-by-step explanation:

The red makes up 5 out of the 20 marbles in the bag, which translates to 1/4 or 25% chance or being picked.

Good luck! Hope this helped!

4 0

2 years ago

Read 2 more answers

What fraction is a multiple of1/9

Daniel [21]

2/18 is the multiple of 1/9

8 0

3 years ago

Read 2 more answers

A restaurant offers three types of meats: chicken, beef,

sp2606 [1]

Answer:

200

Step-by-step explanation:

If the waiters surveyed 50 customers and half of the customer's favorite meat was chicken, then if 400 pieces of meat were ordered 200 pieces should be chicken.

If $\frac{50}{chicken}$ = $\frac{50}{25}$ = $\frac{1}{2}$ , then $\frac{400}{chicken}$ = $\frac{400}{2}$ = $2$