3 years ago

Find the volume of a sphere with radius 2ft

Mathematics

1 answer:

Lena [83]3 years ago

4 0

Answer:

33.51

Step-by-step explanation:

4/3π × 2³

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Select the correct answer

White raven [17]

Answer:

Step-by-step explanation:

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3 years ago

From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan

denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

$\theta=32.5\°$ is the the angle of elevation

$d=35.6 km$ is the horizontal distance between the plane and the radar station

$x$ is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is <u>cosine</u>:

$cos\theta=\frac{d}{x}$ because $d$ is the adjacent side of the right triangle

$cos(32.5\°)=\frac{35.6 km}{x}$

Finding $x$ :

$x=\frac{35.6 km}{cos(32.5\°)}$

$x=42.21 km$

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3 years ago

F(x)=-9x^2-2x and g(x)=3x^2+6x-9, find (f-g)(x) and (f-g)(-4)

Sergio039 [100]

Answer:

$(f-g)(x) = -12x^{2} - 8x + 9$

(f-g)(-4) = -151

Step-by-step explanation:

To find f-g(x) we subtract the common terms. So

$f(x) = -9x^{2} - 2x$

$g(x) = 3x^{2} + 6x - 9$

(f-g)(x)

$(f-g)(x) = f(x) - g(x) = -9x^{2} - 2x - (3x^{2} + 6x - 9) = -9x^{2} - 2x - 3x^{2} - 6x + 9 = (-9 - 3)x^{2} + (-2 - 6)x + 9 = -12x^{2} - 8x + 9$

(f-g)(-4)

$(f-g)(x) = -12x^{2} - 8x + 9$

We replace x by -4

$(f-g)(-4) = -12(-4)^{2} - 8(4) + 9= -151$

(f-g)(-4) = -151

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3 years ago

Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kilograms (kg), but Ren

liraira [26]

The picture below has both of the answers to your problem.

7 0

3 years ago

Read 2 more answers

Hi I need help on one questions it is Cora has two links of ribbon one ribbon is 2 feet long. The other ribbon is 30 inches long

Assoli18 [71]

Answer:

The ribbon that is 30 inches is longer.

Step-by-step explanation:

1 foot = 12 inches

2 feet = 24 inches

30 inches > 24 inches

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3 years ago