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3 years ago

A rectangular prism has a length of 12 in., a width of 5 in., and a height of 4 1/4 in.

Mathematics

1 answer:

Snezhnost [94]3 years ago

5 0

The answer is ( total volume = 192 x 1/27 =192/27 =64/9) hope it helps and have a great day!

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1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang

lana66690 [7]

Answer:

$h=\frac{\sqrt{3}}{2}b\ units$

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is equal to 60 degrees)

see the attached figure to better understand tyhe problem

Let

h ----> the height of an equilateral triangle

b ---> the length side of an equilateral triangle

In the right triangle ABD

Applying the Pythagorean Theorem

$AB^2=AD^2+BD^2$

substitute the given values

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

$b^2=\frac{b^2}{4}+h^2$

$h^2=b^2-\frac{b^2}{4}$

$h^2=\frac{3}{4}b^2$

square root both sides

$h=\frac{\sqrt{3}}{2}b\ units$

7 0

3 years ago

What’s there answer for this 4.5x10^-5

enyata [817]

Answer:

0.000045

Step-by-step explanation:

3 0

3 years ago

What is the general form of the equation for the given circle?

ludmilkaskok [199]

Coordinates of the center: ( 4, 4 )
The radius: r = 7 - 4 = 3
The equation of a circle:
( x - 4 )² + ( y - 4 )² = 3²
x² - 8 x + 16 + y² - 8 y + 16 = 9
x² + y² - 8 x - 8 y + 32 - 9 = 0
Answer:
A ) x² + y² - 8 x - 8 y + 23 = 0

8 0

4 years ago

How can we solve proportions? ( 2 words)

Vilka [71]

Answer:

Equality

Inequality

Step-by-step explanation:

3 0

4 years ago

Solve the equation<br> 2<br> m<br> 16.

____ [38]

Answer:

i think it should be m=√1/2 -5

m= -√1/2 -5

Step-by-step explanation:

5 0

3 years ago