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butalik [34]
3 years ago
14

Find the missing measure for a right circular cone given the following information. Find V if r = 2 and L.A. = 12pie

Mathematics
1 answer:
adell [148]3 years ago
4 0
The lateral area is pi*r*s where s is the slant height of the cone. So in this case pi*r*s=12pi so the slant height s = 12pi / 2pi = 6. The height of the cone will be h = sqrt(6^2 - 2^2) by Pythagoras or h=sqrt(32) = 4*sqrt(2). Now for the volume: for a cone V = (1/3)*pi*r^2*h so here V = (1/3)*pi*2^2*4*sqrt(2) which gives us V = (16/3)*pi*sqrt(2) or answer A.<span>
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Wesley walked 11 miles in 4 hours. If he walked the same distance every hour, how far did he walk in one hour? Using only feet
vladimir2022 [97]

Answer:

14,520

Step-by-step explanation:

The computation is shown below:

Given that

Wesley walked 11 miles in 4 hours

Now we can say that

1 miles = 5280

So, 11 miles would be

= 5280 × 11

= 58,080

And, the number of hours is 4

So, for one hour he would be far of

= 58,080 ÷ 4

= 14,520

5 0
3 years ago
Solve the equation. 40 = x - 20<br><br><br> a-60<br><br> b60<br><br> c20<br><br> d<br> -20
tangare [24]

40 = x - 20

move -20 to the other side

sign changes from -20 to +20

40+20= x-20+20

40+20=x

60=x

Answer:

b 60

4 0
3 years ago
A work shift for an employee at a restaurant consists of 10 hours. What fraction of the employee's work shift is represented by
Rus_ich [418]
6/10

3/5

60%

.6

(all these are correct forms)
5 0
3 years ago
Read 2 more answers
Solve the equation below and find the variation constant, k .Find y when x = 7 and z=5, if y varies jointly as x and 2, and y= 1
Vlada [557]
<h3>Answers:</h3>

Variation Constant: k = 7/6

y = 245/6 when x = 7 and z = 5

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

Explanation:

"y varies jointly as x and z" means that y = kxz

We have (x,y,z) = (4,14,3) as one triple, so,

y = kxz

14 = k*4*3

14 = 12k

12k = 14

k = 14/12

k = 7/6 is the variation constant

The equation goes from y = kxz to y = (7/6)xz

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

Plug in x = 7 and z = 5 to find y

y = (7/6)xz

y = (7/6)*7*5

y = (7/6)*(7/1)*(5/1)

y = (7*7*5)/(6*1*1)

y = 245/6

4 0
3 years ago
What is the total volume of the cube below? Each block represents 1 unit.
Galina-37 [17]
The answer is D. 125
Can you please mark me brainiest!!!!
6 0
3 years ago
Read 2 more answers
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