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3 years ago

Help me on my review quiz. 10 point btw

Mathematics

1 answer:

arsen [322]3 years ago

6 0

Answer:

96.8 percent

Step-by-step explanation:

You can cut off two zeros from both numbers to compare 1000 to 32.

The difference is 968, and the original is 1000.

So you divide 968 by 1000 to get 0.968 which is equal to 96.8 percent.

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Find the volume of a regular hexahedron if one of the diagonals of its faces is 8 root 2 inches.

Naily [24]

The answer is 114sqrt{6} in³

A regular hexahedron is actually a cube.

Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²

Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²

D² = f² + a²
f² = 2a²

D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3

Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3

V = a³ = (D/√3)³

We have:
D = 8√2 in

$V= (\frac{D}{ \sqrt{3} } )^{3} =( \frac{8 \sqrt{2} }{ \sqrt{3} } )^{3}=( \frac{8 \sqrt{2} * \sqrt{3} }{ \sqrt{3}* \sqrt{3}} )^{3} =( \frac{8 \sqrt{2*3} }{ \sqrt{3*3}} )^{3} =( \frac{8 \sqrt{6} }{ \sqrt{3^{2} }} )^{3} =( \frac{8 \sqrt{6} }{ 3} )^{3} = \\ \\ = \frac{ 8^{3} *( \sqrt{6} )^{3}}{3^{3}} = \frac{512* \sqrt{6 ^{2} }* \sqrt{6} }{27} = \frac{512*6* \sqrt{6} }{27} = 114sqrt{6}$

8 0

3 years ago

For the pair of similar solids, find the value of the variable.

serg [7]

Answer:

2cm..................

4 0

2 years ago

Read 2 more answers

Would love some help

natali 33 [55]

<h3>Answer: 90 cubic meters</h3>

Each triangle has a base of 10 and height of 3.6

area of triangle = 0.5*base*height = 0.5*10*3.6 = 18 square meters

multiply this with the height of the prism (5 meters) to get 18*5 = 90 cubic meters. I'm using the idea that,

volume of prism = (area of base face)*(height of prism)

The notation "m^3" is shorthand for "cubic meters"

We do not use the other dimensions of 9 m and 7 m.

7 0

3 years ago

What is the answer to. Write a polynomial equation with integer coefficients that has the given roots, x=7 and x=-5

rewona [7]

$\bf \begin{cases}
x=7\implies &x-7=0\\
x=-5\implies &x+5=0
\end{cases}\implies (x-7)(x+5)=\stackrel{original}{polynomial}
\\\\\\
x^2-2x-35=y\implies 1x^2-2x-35=y$

7 0

3 years ago

Which of the following fractions is equivalent to 4/20? 2/6 8/16 1/2 3/6 5/10 7/11

scZoUnD [109]

Answer:

1/2

Step-by-step explanation:

8 0

2 years ago