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3 years ago

A rectangular prism has a length of 114 yards, a width of 212 yards, and a height of 4 yards.

Mathematics

2 answers:

drek231 [11]3 years ago

8 0

Answer: 96,672 yards cubed

Step-by-step explanation: The formula for the Volume of a rectangar prism is Length×Width×Height

114yds × 212yds × 4yds = 96,672yds^3

Its already in simplest form since its all yards

But, you can also convert it into miles

In which 1 mile = 1760 yards

So you'd divide 96670 by 1760, and what ever answer youget would be the answer in miles

Scrat [10]3 years ago

3 0

Answer:

96672 Is the answer :) Hope this helps!

Step-by-step explanation:

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Find the third side in simplest radical form:<br> 25

Gre4nikov [31]

Answer:

<h3> $\boxed{ \bold{24}}$ </h3>

Step-by-step explanation:

$\mathsf{given}$

$\mathsf{hypotenuse(h) = 25}$

$\sf{perpendicular (p) = 7}$

$\sf{base(b) = }$ ?

Now, Using Pythagoras theorem

$\sf{{h}^{2} = {p}^{2} + {b}^{2} }$

plug the values

⇒ $\sf{ {25}^{2} = {7}^{2} + {b}^{2} }$

Evaluate the power

⇒ $\sf{625 = 49 + {b}^{2} }$

Swap the sides of the equation

⇒ $\sf{49 + {b}^{2} = 625}$

Move constant to right hand side and change it's sign

⇒ $\sf{ {b}^{2} = 625 - 49}$

Calculate the difference

⇒ $\sf{ {b}^{2} = 576}$

Squaring on both sides

⇒ $\sf{b = 24}$

Hope I helped!

Best regards!

8 0

3 years ago

Express the product of 2xsquared+6x-8 and x+3 in standard form

postnew [5]

Answer:

2x^3+12x^2+10x-24

Step-by-step explanation:

(2x^2+6x-8)(x+3)

2x^3+6x^2-8x+6x^2+18x-24

2x^3+6x^2+6x^2-8x+18x-24

2x^3+12x^2+10x-24

4 0

3 years ago

Jeff is four years less than twice his nephew's

ira [324]

Answer:

His nephew would be 11.

Step-by-step explanation:

First, you should model the word problem into an equation. This gives you the equation 18=2x-4. Then, you add 4 to both sides of the equation, getting 22=2x. Then, you divide both sides by two, which equals 11, which shows that his nephew is 11 years old. Hope this helped!

8 0

4 years ago

Read 2 more answers

Micah is saving money for his first car his parents gave him 250 for his birthday and each week he plans on putting $40 into his

crimeas [40]

Answer:

whats the question though?

3 0

3 years ago

can someone please help me find the surface area of the pyramid with an equilateral triangle for a base

ioda

To obtain the total surface we have to calculate the surface of the 4 triangles and add up the areas (remember that the area of a triangle is (b*h)/2 , b is the base, h is the height ).

We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment

using the pythagorean theorem we have that

$\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}$

Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.

Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.

Finally we add up all the areas:

$135cm^2+15.59cm^2=150.59cm^2$

6 0

1 year ago