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Troyanec [42]
3 years ago
11

The volume of a cylinder is 252π cm3 and its height is 7 cm. What is the cylinder’s radius? A. 36 B. 80 C.16 D.6

Mathematics
1 answer:
REY [17]3 years ago
5 0
Put the given information into the formula and solve for the variable of interest.
.. V = π*r^2*h
.. 252π = π*r^2*7
.. (252π)/(7π) = r^2
.. 36 = r^2
.. 6 = r

The radius is 6 cm. Selection D is appropriate.

_____
We would prefer that the offered selections had the appropriate cm units attached.
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What us the length of the altitude of the equilateral triangle below
ladessa [460]

Answer:

Height ( h) = 12 units.

Step-by-step explanation:

Given  : An equilateral triangle with side = 8 √3.

To find : What us the length of the altitude of the equilateral triangle .

Solution : We have given equilateral triangle with side = 8 √3.

By taking the half triangle,

By the Pythagorean theorem :

(Hypotenuse)² = ( adjacent)² + (opposite)².

Plug the values Hypotenuse = 8√3 , adjacent = 4√3 , opposite = h.

(8√3)² = ( 4√3)² + (h)².

192 = 48 +  (h)².

On subtracting by 48 both sides.

192 -48 =  (h)².

144 =  (h)².

On taking square root .

h = 12 .

Therefore, Height ( h) = 12 units.

4 0
3 years ago
A farmer has 113 sheet 47 of them are males how many more female sheep are there than male sheep
sleet_krkn [62]
The farmer has 19 more female sheep than male sheep.

113-47=66
66-47=19
19 more female sheep
3 0
3 years ago
Read 2 more answers
There are chicken and rabbits on a farm. You count 98 legs and your friend counts 30 heads. How many chickens and how many rabbi
jarptica [38.1K]
Chickens have 1 head and 2 legs
rabbits had 1 head and 4 legs


total heads is 30
c+r=30
total legs is 98
2c+4r=98
divide by 2
c+2r=49

multiply top equation by -1 and add to 2nd equation

-c-r=-30
<u>c+2r=49 +</u>
0c+1r=19

r=19

sub back
c+r=30
c+19=30
minus 19
c=11

11 chickens
19 rabbits
6 0
3 years ago
Any one can help me please please I need help please each one 3 step explanation
Art [367]

Answer:

a) Area of wall to be painted = 114 sq ft

b) Number of cans required = 2×5 = 10

c) Total cost of paint = $338.43

Step-by-step explanation:

<h2>Part a)</h2>

We are asked to find the area of wall that needs to be painted.

we need to subtract the area of window from the area of wall.

We know that area of a rectangular shape is given by

Area = Width×Length

Area of whole wall = 8×15 = 120 sq ft

Area of window = 2×3 = 6 sq ft

Area of wall to be painted = 120 - 6 = 114 sq ft

<h2>Part b)</h2>

1 can of paint will cover 25 sq ft of area.

So to cover the area of wall to be painted,

114/25 = 4.56

since number of cans cannot be in fraction so we would need 5 cans

Since two coats of paints are needed so

Number of cans required = 2×5 = 10

<h2>Part c)</h2>

1 can of paint costs $29.95

We have total 10 cans

$29.95×10 = $299.5

There is also a 13% tax so the total cost is

$299.5×0.13 = $38.93

Total cost of paint = $299.5 + $38.93

Total cost of paint = $338.43

3 0
3 years ago
How do I do this? (3x^2+8)-(2x^2+1)<br> So first I add like terms?<br> 5x^2 + 8 + 1
Gemiola [76]
<span>   (3x</span>² <span>+ 8) - (2x</span>² <span>+ 1)
= </span>3x² + 8 - 2x² - 1
= 3x² - 2x² + 8 - 1
= x² + 7
3 0
3 years ago
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