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tino4ka555 [31]
3 years ago
9

Find the volume (in cubic inches) of an exercise ball with a radius of 14 inches. (Round your answer to one decimal place.)

Mathematics
1 answer:
navik [9.2K]3 years ago
5 0

Answer:

11,494.0³

Step-by-step explanation:

Volume of a sphere= (4/3) × pi × radius³

4÷3 × 3.14 ×14³

= 11,494.0³

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An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inche
nikklg [1K]
Wow this is a doozy! First you have to figure out what is it you are looking for? If you make a dot in the center of the triangle (which is also the center of the circle) and draw a line from the center to one of the vertices of the triangle you have the radius of the triangle and also of the circle. If you draw all 3 radii from the triangle's center to its vertices, you see you have created 3 triangles within that one triangle.  The trick here is to figure out what your triangle measures are as far as angles go.  If we take the interior measures of those 3 triangles, we get that each one has a measure of 120 (360/3=120). So that's one of your angles, the one across from the side measuring 6. Because of the Isosceles Triangle theorem, we know that the 2 base angles have the same measure because the sides are the same. Subtracting 120 from 180 gives you 60 which, divided in half, makes each of those remaining angles measure 30 degrees. So if we extract that one triangle from the big one, we have a triangle with angles that measure 30-30-120, with the base measuring 6 and each of the other sides measuring 5. If we then split that triangle into 2 right triangles, we have one right triangle with measures 30-60-90. Dropping that altitude to create 2 right triangles not only split the 120 degree angle at the top in half, it also split the base side of 6 in half. So our right triangle has a base of 3 and we are looking for the hypotenuse of that right triangle.  WE have to use right triangle trig for that. Since we have the top angle of 60 and the base of 3, we can use sin60=3/x.  Solving for x we have x=3/sin60 which gives us an x value of 3.5 inches rounded from 3.464. I'm not sure what you mean by a mixed number unless you mean a decimal, but that's the radius of that circle.
6 0
3 years ago
I NEED THIS ASAP I will give 40 POINTS AND WILL MARK BRAINLIEST!!!
Margarita [4]

Answer:

1st attachment x=25,

2nd attachment x=107, x=-26

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Surface Area of Cylinders
lidiya [134]

Answer: 1639.08

Step-by-step explanation: To find the surface area of a cylinder, multiply 2(3.14)times the radius squared. Your answer is 508.68. Then multiply 2(3.14)times the radius and the height. You'll get 1130.08. add the answers you got from both equations together. That's the surface area of your cylinder. If you have any more questions, please let me know.

4 0
3 years ago
Workers in an office of 40 staff were asked their favourite take away. the results are summarised in the table.
tia_tia [17]

Answer:

Pizza: 27°

Curry: 108°

Fish and Chips: 63°

Kabab: 27°

Other: 135°

Step-by-step explanation:

Frequency 40 = 360°

Pizza (3) = \frac{3}{40} * 360° = 27°

Curry (12) = \frac{12}{40} * 360° = 108°

Fish and Chips (7) = \frac{7}{40} * 360° = 63°

Kabab (3) = \frac{3}{40} * 360° = 27°

Other (15) = \frac{15}{40} * 360° = 135°

27 + 108 + 63 + 27 + 135 = 360

4 0
3 years ago
What is the common difference between the terms in this arithmetic sequence? 8,15,22,29,36..
trapecia [35]

Answer:

7

Step-by-step explanation:

just subtract 7 from largest number down to smaller numbers to notice the pattern. :)

5 0
3 years ago
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