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3 years ago

Find the measure of the exterior 21. A. 15° B. 100 C. 35 D. 145

Mathematics

1 answer:

FromTheMoon [43]3 years ago

3 0

Answer:

The answer will be D. 145

Step-by-step explanation:

Because I said so

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The difference of x and 4, cubed, times 6

Yanka [14]

<h2>Answer:</h2>

<u>The answer is </u><u>6x³ - 72x² +288 -384</u>

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3 years ago

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JK and LM are straight lines. Find /NOK.<br> ( help me pls)<br>

VashaNatasha [74]

Answer:

$NOK = 58$

Step-by-step explanation:

Given

$JOM = 108$

$LON = 50$

Required

Find NOK

From the attached triangle, we have:

$LOK = JOM =108$ --- Corresponding angles

And

$LOK = LON + NOK$

Substitute for LOK and LON

$108= 50+ NOK$

Make NOK the subject

$NOK = 108 - 50$

$NOK = 58$

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2 years ago

There are 40 students playing dodge ball in a high school gym that is 100 feet long by 60 feet wide. There are 12,000 balls avai

shutvik [7]

Answer:

I've never done this before, but if it is balls per square foot, then i can figure it out. It is 2 balls per square foot

Step-by-step explanation:

If the gym is 100 ft by 60 ft, it will be 6,000 square ft. Since there are 12,000 balls, you divide it by 6,000 (12,000/6,000), which is 2, so it would be 2 balls per square foot

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3 years ago

What is the solution to the system of equation<br> -7x-2y=-13<br> X-2y=11<br> Using substitution

Gnom [1K]

  -7x - 2y = -13
-7x + 7x - 2y = 7x - 13
-2y = 7x - 13
-2 -2
y = -3.5x + 6.5

  x - 2y = 11
  x - 2(-3.5x + 6.5) = 11
x - 2(-3.5x) - 2(6.5) = 11
x + 7x - 13 = 11
8x - 13 = 11
+ 13 + 13
  8x = 24
8 8
  x = 3

y = -3.5x + 6.5
y = -3.5(3) + 6.5
y = -10.5 + 6.5
y = -4
(x, y) = (3, -4)

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3 years ago

What is the volume of this cone?

olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

$a^2 = b^2 + c^2$

So we can find the height of the cone with that:

$10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9$

Now that we have the cone's height, we can solve for its volume:

$v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3$

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3 years ago

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