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3 years ago

Find the volume. The diameter is 32 meters.

Mathematics

1 answer:

Yuki888 [10]3 years ago

8 0

Answer:

17,148.58

Step-by-step explanation:

$\frac{4}{3} \times \pi \times {r}^{3} \\ = \frac{4}{3} \times 3.14 \times 16 \times 16 \times 16 \\ = 17,148.58$

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The perimeter and the area

Genrish500 [490]

Perimeter=28/3
Area=40/3

3 0

3 years ago

A hiker travels 45 degrees north of east for 30 km. What is his NORTH (or y) displacement component? Round your answer and inclu

miv72 [106K]

consider X-axis along the east-west direction and north-south direction along Y-axis

A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer

θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise

A' = component of distance traveled by the hiker along the east direction.

Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence

Using the equation

A' = A Sinθ

Inserting the values

A' = (30) Sin45

A' = 21.2 km

8 0

3 years ago

PLEASE HELP ME W/ MATH ASAP!!

larisa [96]

Use similarity property:

14 / (14+6) = 21 / (21 + (x+4))

14/20 = 21/(x+25) cross multiplication property

14*(x+25) = 20*21

14x + 350 = 420

14x = 70

x = 70/14 = 5.

8 0

3 years ago

Read 2 more answers

Alfred is building a slide for a new park. He wants the height of the slide to be 8 feet, and he wants the horizontal distance a

oksano4ka [1.4K]

Answer:

5ft

Step-by-step explanation:

8/10=0.8

4/0.8=5

8 0

2 years ago

The national average sat score (for verbal and math) is 1028. if we assume a normal distribution with standard deviation 92, wha

elena55 [62]

Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92

The 90th percentile score is nothing but the x value for which area below x is 90%.

To find 90th percentile we will find find z score such that probability below z is 0.9

P(Z <z) = 0.9

Using excel function to find z score corresponding to probability 0.9 is

z = NORM.S.INV(0.9) = 1.28

z =1.28

Now convert z score into x value using the formula

x = z *σ + μ

x = 1.28 * 92 + 1028

x = 1145.76

The 90th percentile score value is 1145.76

The probability that randomly selected score exceeds 1200 is

P(X > 1200)

Z score corresponding to x=1200 is

z = $\frac{x - mean}{standard deviation}$

z = $\frac{1200-1028}{92}$

z = 1.8695 ~ 1.87

P(Z > 1.87 ) = 1 - P(Z < 1.87)

Using z-score table to find probability z < 1.87

P(Z < 1.87) = 0.9693

P(Z > 1.87) = 1 - 0.9693

P(Z > 1.87) = 0.0307

The probability that a randomly selected score exceeds 1200 is 0.0307

5 0

3 years ago