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Leviafan [203]
4 years ago
10

What is the volume of a hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot

Mathematics
1 answer:
lions [1.4K]4 years ago
5 0

Answer:

The volume of the hemisphere is 1071.78\ ft^3.

Step-by-step explanation:

We have,

The diameter of a hemisphere is 8 ft. It is required to find its volume.

The formula of the volume of hemisphere is given by :

V=\dfrac{2}{3}\pi r^3

r is radius of hemisphere

Here, r = 4 ft

So,

V=\dfrac{2}{3}\times 3.14\times (8)^3\\\\V=1071.78\ ft^3

So, the volume of the hemisphere is 1071.78\ ft^3.

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Given the function f(x)= x^4 - 4x^3 -2, determine the absolute minimum value of ff on the closed interval [-2, 4].
kobusy [5.1K]

Answer:

Absolute Minimum: (3,−29)

Step-by-step explanation:

4 0
3 years ago
3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie
allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x  = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 53^\circ=\frac{150-x}{h}

\displaystyle \tan 48^\circ=\frac{x}{h}

From the last equation:

x=h.\tan 48^\circ

Substituting into the first equation:

\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}

Operating on the right side:

\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ

Rearranging:

\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}

Solving for h:

\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0
3 years ago
4x = -36<br> plz helpppp
san4es73 [151]

Hi there! :)

4x=-36

Divide both sides by 4 in order to isolate x:

x=-9

Hope this helps you and have a nice day!

~Just a joyful teen

SilentNature

8 0
2 years ago
What value of x would make the figure a parallelogram (show your math please)
Verdich [7]

Answer:

2

Step-by-step explanation:

Diagonals of a parallelogram bisects each other.

Therefore,

4x = 8

x = 8/4

x = 2

Or

5x = 3x + 4

5x - 3x = 4

2x = 4

x = 4/2

x = 2

8 0
3 years ago
The weight of 120 books is 36kg, find the weight per book
hodyreva [135]

Answer:

0.3kg

Step-by-step explanation:

Since the weight of 120 books is 36kg, the weight per book will be:

= 36kg / 120

= 0.3kg

4 0
3 years ago
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