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salantis [7]
3 years ago
13

Explain how you would find the height of a rectangular prism if you know that the volume is 60 cubic cm and that the area of the

base is 10 square cm.
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0
Base = length * width.

We know that the base has an area of 10
And 60 is the volume. Then 60 / 10 = 6 Which is the height.
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1 and 2 form a linear pair. If the
natka813 [3]

Angles that form a linear pair add up to 180 degrees.

If the measure of angle 1 is 113, then all we must do is subtract:

180-113=67 degrees

And we're done!

Good luck! :)

Hope it helps you!

GraceRosalia ✺                    ✺                      ✺          ✺              ✺             ✺          ✺

8 0
3 years ago
15. Rewrite the given functions in
Lisa [10]

15. The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17. The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Step-by-step explanation:

Any quadratic function has:

1. A vertex form form f(x) = a(x - h)² + k, where (h , k) are the

   coordinates of its vertex point

2. A standard form g(x) = ax² + bx + c, where a , b , c are constant and

   a is the coefficient of x², b is the coefficient of x and c is the

    y-intercept

3. the x-coordinate of the vertex point h = \frac{-b}{2a} and

    k = f(h)

15.

∵ f(x) = x² + 8x - 10

∴ a = 1 and b = 8

∵ h = \frac{-b}{2a}

∴ h = \frac{-8}{2(1)}=-4

∴ h = -4

∵ k = f(h)

∴ k = f(-4)

- Substitute x by -4 in f(x)

∴ k = (-4)² + 8(-4) - 10

∴ k = 16 - 32 - 10

∴ k = -26

∴ f(x) = (x - -4)² + (-26)

∴ f(x) = (x + 4)² - 26

The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17.

∵ g(x) = (x + 3)² - 4

- Lets solve the power 2 of the bracket:

 (1st + 2nd)² = (1st)(1st) + 2(1st)(2nd) + (2nd)(2nd)

∵ (x + 3)² = (x)(x) + 2(x)(3) + (3)(3)

∴ (x + 3)² = x² + 6x + 9

∴ (x + 3)² - 4 = (x² + 6x + 9) - 4

∵ 9 - 4 = 5

∴ (x + 3)² - 4 = x² + 6x + 5

The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Learn more:

You can learn more about the vertex form of quadratic function in brainly.com/question/9390381

#LearnwithBrainly

4 0
3 years ago
What fraction of 1 pint is 1 cup
Aleonysh [2.5K]
<span>The answer is that the fraction of 1/2 pint is 1 cup. To solve this you must know the equivalence between pints and cups, and use the notion of proportions. Two cups equal one pint. Then you can state this proportion: 1 pint / 2 cups = x pint / 1 cup. When you solve for x you get: x = 1/2. Which means that 1 cup is 1/2 of 1 pint. </span>
8 0
3 years ago
There are 207 students in 9 classes at this rate how many are in 6 classes
soldi70 [24.7K]
There would be 138 students in 6 classes because first you'd divide 207 from 9 and get 23 then you'd multiply 23 to 6 and get 138.
5 0
3 years ago
Read 2 more answers
What is the mode of the set numbers?: 8, 9, 2, 12, 12, 10, 14, 14, 5​
Maksim231197 [3]
The number 12 and 14 are the modes .
8 0
2 years ago
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