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dedylja [7]
3 years ago
14

How do I find the volume of this right triangular prism?

Mathematics
1 answer:
frozen [14]3 years ago
8 0
I’ll try to make a step by step demonstration! Feel free to skip to step 5 for the answer, though
1. The formula for a right triangular prism is (1/2)*base*height*length, and we know what the base (4 cm) and length (8 cm) are, but not the height
2. To find the height we must divide the side triangle into two, which then gives us two right triangles
3. Focusing on just one of the right triangles, its base will be 2 cm rather than 4 (as it has been divided by two) and its hypotenuse will be 4 cm; using Pythagorean’s theorem (a^2 + b^2 = c^2), solve for the missing side (the height), which should end up being √12
4. Multiply! (1/2)4*√12*8 ≈ 55.425
5. Round to the nearest tenth —> 55.4
I hope this helped somewhat! Comment if clarification is needed
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Choose the correct slope and y-intercept of the line indicated by this linear equation.
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8 0
3 years ago
Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.
cricket20 [7]

Answer:

The translation would be

X = 40% + 5 + A

Step-by-step explanation:

First, translate the words, is, more than and 'the number'.

Is means equals (=).

More Than means plus (+).

'the number' can be x.

Now, put it together.

X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)

I hope this helps!!

5 0
3 years ago
Please help I don't understand 5i√-54
Arada [10]

Answer:

Simplify the radical by breaking the radicand up into a product of known factors.

Exact Form:

− 15 √ 6

Decimal Form:

− 36.74234614

Step-by-step explanation:

thats all i got.. if you could please answer my most recent

8 0
3 years ago
In the following answer, why does 830 convert to 83000?
Mekhanik [1.2K]

Then the money borrowed insurance company is $1,000.

Money borrowed from insurance company = $1000

Let the money borrowed by her friend at 8% interest = x

Then the money borrowed by the bank at 9% interest = 2x

<h3>What is the total money?</h3>

Total money borrowed = $10,000

So, the money borrowed from the insurance company = 10,000-(2x+x)

= 10,000-3x

Total interest for the first year = $830

We have the equation,

8%(x) + 9%(2x) +5% (10,000-3x) = 830

8x+18x+50,000-15x = 83,000

11x = 83000-50000

11x = 33,000

x = $3000

Then the money borrowed insurance company = 10,000-3x

Then the money borrowed insurance company is $1,000.

To learn more about the insurance visit:

brainly.com/question/25855858

#SPJ1

4 0
1 year ago
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