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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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<h2>—Math</h2>

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Answer:

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07.03 MC) An equation is shown below: 9(3x – 16) + 15 = 6x – 24 Part A: Write the steps you will use to solve the equation, and
VARVARA [1.3K]

Answer:

x=5

Step-by-step explanation:

Alright you will need to use PEMDAS for this

  • Parenthesis
  • Exponent
  • Multiplication
  • Division
  • Addition
  • Subtraction ( Take note of this )

Step 1

9(3x – 16) + 15 = 6x – 24 You will remove parenthesis here

27x-129=6x-24

Step 2

Then subtract 6x,

27x-129=6x-24

21x-129=-24

Step 3

Then you add 129 to the sides,

21x-129=-24

21x=105

After that, you divide the sides by 21  so that you can get your answer

5

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2 years ago
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SIZIF [17.4K]

When solving this equation you get x = -3.

To solve this, simply follow the order of operations for solving.

\frac{5}{7^{3}}  = 5(7^{x} ) ----> start by dividing both sides by 5

\frac{1}{7^{3}}  = (7^{x} ) -----> Now you can transform the front side of the equation to use negative exponents.

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Since both x and -3 are the powers of x, we can eliminate the 7 and just make the exponents equal.

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8 0
3 years ago
Can you draw different functions that have the same x-intercepts and the same domain and range?
iogann1982 [59]
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Answer: No
3 0
3 years ago
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