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grandymaker [24]

2 years ago

13

n the right triangular prism below, BG FC The volume of the prism is 900 cubic centimeters. The height of the prism is 15 centim

eters and the height of the triangular base is 10 centimeters. What is the length of edge FC?

2 answers:

Fofino [41]2 years ago

7 0

Answer:

12 cm

Step-by-step explanation:

Bad White [126]2 years ago

6 0

12 cm

Remember, V=Bh

-I think I did the process incorrectly but this is what I did:
900=(10)(15)
900=150 (divide 150 on both sides)
you get 6 but then I multiplied by 2 and got 12.
The answer 12 is correct though so I hope this helped! and if someone could explain the process better that would be great lol.

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At Elisa's printing company, there are two kinds of printing presses: Model A, which can print 70 books/ day, and model B, which

Dmitrij [34]

Answer:

9 Model As.

Step-by-step explanation:

Let A represent Press A and let B represent Press B.

So, they own 14 total presses. This means that:

$A+B=14$

They can print 905 books per day, in other words, since A prints 70 per day and B prints 55 per day:

$70A+55B=905$

This is now a system of equations. Solve by substitution. From the first equation, subtract B from both sides:

$A=14-B$

Substitute this into the second equation: "

$70(14-B)+55B=905$

First, we can divide everything by 5 to simplify things:

$14(14-B)+11B=181$

Distribute the left:

$196-14B+11B=181$

Combine like terms:

$-3B+196=181$

Subtract 196 from both sides:

$-3B=-15$

Divide both sides by -3

$B=5$

So, the company has 5 Model B presses.

Which means that the company has 14-5 or 9 Model A presses.

And we're done!

3 0

2 years ago

Use the standard normal distribution to find P(-2.25 < z < 1.25)

Ede4ka [16]

Here we have to find the probability $P(-2.25$ . Now express the probability in terms of standard normal cumulative distribution function. That is $\Phi(x)=P(z$ .

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3 0

2 years ago

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zalisa [80]

Answer:

the answer is 10

Step-by-step explanation:

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Alex787 [66]

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2 years ago

The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem

Art [367]

Answer:

a

the displacement of the plane is $- \= w$

b

The displacement of plane from Portland to Akron with layover at Houston is

$\= v + \= w$

c

the vector which defines this displacement is $\= v + \= w =- 2500 \ km$

Step-by-step explanation:

From the question we are the

The displacement from Portland, Oregon to Houston, Texas. is $\= v$

The displacement from Houston, Texas to Akron, Ohio. is $\= w$ a

a

The motion of the plane in question a is in the opposite direction to vector $\= w$

So the displacement of the plane is $- \= w$

b

The motion of Portland to Houston to Akron is in the direction of both vector $\= v$ and $\= w$ so

The displacement of plane from Portland to Akron with layover at Houston is

$d = \= v + \= w$

c

From the question we are told that the plane flies over Portland to get to Anchorage, Alaska which implies that it is moving in opposite direction to the vector $\= v$

Give that distance from Portland to Houston is $\= v = 3000 km$

and the distance from Portland to Anchorage is $\= w = - 5500$ km

Then the vector which defines this displacement is mathematically represented as

$\= v + \= w = 3000 -5500$

$\= v + \= w =- 2500 \ km$

4 0

2 years ago