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Aliun [14]
3 years ago
15

I'll vote brainliest​

Mathematics
1 answer:
il63 [147K]3 years ago
6 0
5252552525535353535535353536363
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A sphere has a diameter os 14 ft. Which equation finds the volume of the sphere?
Nutka1998 [239]

Answer:

Step-by-step explanation:

V=4/3pie(7)^3

5 0
3 years ago
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Find a parametric representation for the surface. the part of the plane z = x + 3 that lies inside the cylinder x2 + y2 = 9. (en
Evgesh-ka [11]
The cylinder is a clue to use cylindrical coordinates. Taking x=3\cos\theta and y=3\sin\theta, we then are forced to use z=3\cos\theta+3. So the parameterization of the intersection of the plane and cylinder is

\mathbf s(\theta)=(3\cos\theta,3\sin\theta,3\cos\theta+3)

To get the surface, we can introduce a second parameter r that "contracts" the elliptical intersection to a point. The simplest way to do this is to use

\mathbf s(r,\theta)=(3r\cos\theta,3r\sin\theta,3r\cos\theta+3)

with 0\le r\le1 and 0\le\theta\le2\pi.
7 0
3 years ago
Barbara drives between Miami, Florida and West Palm Beach, Florida. she drives 45 miles in clear weather and then encounters a t
WINSTONCH [101]

Answer:

Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

Step-by-step explanation:

Let v_1 be the speed and  t_1 be the time Barbara drives in clear weather, and let v_2 be the speed and t_2 be the time she drives in the thunderstorm.

Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,

(1). v_2 = v_1 -22

Also,

(2). v_1t_1 = 45miles

(3). v_2 t_2 = 57,

and

(4). t_1+t_2 = 2.25hr

From equations (2) and (3) we get:

t_1 = \dfrac{45}{v_1}

t_2 =\dfrac{57}{v_2}

putting these in equation (4) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25

and substituting for v_2 from equation (1) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_1-22}=2.25

This equation can be rewritten as

2.25v_1^2-151.5v_1+990=0

which has solutions

v_1 = 60

v_1 = 7.33

We take the first solution v_1 =60 because it gives a positive value for v_2:

v_2 = v_1 -22

v_2 = 60 -22\\

v_2 = 38.

Thus, Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

4 0
3 years ago
From an 8- foot board, a carpenter sawed off one piece that was 2 3/4 feet long and another piece that was 3 1/2 feet long. How
alexdok [17]

Answer:

1 3/4 or 1.75

Step-by-step explanation:

An easy way to do this is to convert to decimals

1/4 = 0.25

2/4 = 0.5

3/4 = 0.75

Now, for the numbers for this problem.

2 3/4 would be equal to 2.75

3 1/2 would be equal to 3.5

Add those two numbers together and you get 6.25

Subtract that from 8 and you get 1.75 or 1 3/4

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3 years ago
A right rectangular prism has a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters.
UkoKoshka [18]

v = b x w x h

7 x 5 x 4 = 140 cm cubed

6 0
3 years ago
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