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Morgarella [4.7K]
3 years ago
6

The volume of a prism is 45yd3

Mathematics
1 answer:
coldgirl [10]3 years ago
3 0
45yd^3 but since yd is yards the they are not actually part of the equation so it is 45^3=(45•45•45)=(2025•45)=91125 is the answer
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Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
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Gwar [14]

The answer to this is 8

7 0
2 years ago
The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin
atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

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The Poisson probability is given by,

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Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = \frac{e^{-3.8} 3.8^{0}}{0!}

P(X=0) = \frac{0.02237 * 1}{1}

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0
3 years ago
The table represent a liner function What is the slope of the function-6 -4 4 6
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Take any 2 points the answer will be the same.

For point 2 and 3 : (-4)-(2)/(0)-(-1) = -6

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Add and Subtract Fractions:
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