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algol [13]
3 years ago
9

A researcher measured the heights of forty high-school students. The measurements are recorded here.

Mathematics
2 answers:
lord [1]3 years ago
7 0
63 inches is her height

Vlad [161]3 years ago
4 0

Answer:

64

Step-by-step explanation:

i just know

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The disk enclosed by the circle x+y = 4 is revoived about the y-axis to generate solid sphere. A hele of diameter 2 units is the
Vesnalui [34]

Step-by-step explanation:

Suppose we have a curve, y = f(x).

y = f(x)

x = a x = b

Imagine that the part of the curve between the ordinates x = a and x = b is rotated about the

x-axis through 360◦

. The curve would then map out the surface of a solid as it rotated. Such

solids are called solids of revolution. Thus if the curve was a circle, we would obtain the surface

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a cone. Now we already know what the formulae for the volumes of a sphere and a cone are,

but where did they come from? How can they calculated? If we could find a general method

for calculating the volumes of the solids of revolution then we would be able to calculate, for

example, the volume of a sphere and the volume of a cone, as well as the volumes of more

complex solids.

To see how to carry out these calculations we look first at the curve, together with the solid it

maps out when rotated through 360◦

.

y = f(x)

Now if we take a cross-section of the solid, parallel to the y-axis, this cross-section will be a

circle. But rather than take a cross-section, let us take a thin disc of thickness δx, with the face

of the disc nearest the y-axis at a distance x from the origin.

www.mathcentre.ac.uk 2

6 0
3 years ago
starting on day 1 with 1 jumping jack, keila doubles the number of jumping jacks she does every day. How many jumping jack will
Nina [5.8K]
She would have done 512 jumping jacks on the 10th day. 
5 0
3 years ago
An olympian swam the 200-meter freestyle at a speed of 1.8 meters per second. An olympic runner ran the 200-meter dash in 21.3 s
Maurinko [17]

Answer:

7.6m/s

Step-by-step explanation:

Find the time the Olympian swam

Speed=distance/time ⇒⇒Time=distance/speed

Distance=200m , speed= 1.8m/s   t= 200/1.8 = 111.11 seconds

Find the speed of the Olympic runner

Distance=200m  time = 21.3 sec  

s=200/21.3 = 9.4 m/s

Difference in speed= 9.4-1.8= 7.6m/s

5 0
3 years ago
Read 2 more answers
6 / 32<br>Simplify<br>a)<br>4p + 2p – 3p<br>b)<br>9s- 5s + 2s-S<br>c)<br>8t + 3r - 76 - 9r​
Charra [1.4K]

Answer:

a.3p

b 5s

c 2r -76 this can be the answer

3 0
2 years ago
Read 2 more answers
11) MZHGF = 16x + 4, m EGF = 110°,<br> and MZHGE = 3x + 11. Find x.<br> G<br> H<br> F<br> E
Darya [45]
<h3>Answer:  x = 9</h3>

=======================================================

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

--------------------

Extra info (optional section)

Use this x value to find each angle shown below

  • angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
  • angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

6 0
2 years ago
Read 2 more answers
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