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tia_tia [17]
3 years ago
9

A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingl

es covers 32 ft.² how many bundles should you buy to cover the roof? What is the surface area of the roof ?

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

Step-by-step explanation:

d = diameter = 12ft

r = d/2 = 12/2 = 6ft

Slant height = 13ft

Surface area of cone = π r 2 + π L r

Where L is the slant height of the cone π = 22/7

SA = 22/7×6×6+22/7×13×6

SA = 113.14+245.142

SA = 358.28ft^2

If one bundle of shingle covers 32 ft.²

Hence,358.28ft^2  = 358.28ft^2/32 ft.²

= 11.196

= 11.2 bundles

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if three pipes are all opened, they can fill an empty swimming pool in 3 hours. THe largest pipe alone takes one third the time
iogann1982 [59]

Answer: It will take the largest pipe 5.5 hours to fill the swimming pool alone.

It will take the smallest pipe 16.5 hrs to fill the swimming pool alone.

It will take the other pipe 11 hours to fill the pool alone.

Step-by-step explanation: let time needed to fill the swimming pool by the largest pipe be x ... eq (1)

Let time needed to fill the swimming pool by the smallest pipe be 3x ... eq(2)

Let time needed to fill the swimming pool by the other pipe be 2x ...eq(3)

The job to be done (to fill a swimming pool) be 3/x +3/3x+3/2x=1 ... eq(4)

Multiply 6x on both sides you will get:

6(3)+2(3)+3(3)=6x

18+6+9=6x

33=6x

33/6=x

X=5.5hours

Substitute x=5.5 into EQ 2 and 3

3x=3×5.5=16.5hours

2x=2×5.5=11hours

Check: substitute the value of x into eq3/5.5+3/16.5+3/11

0.545+0.182+0.273=0.9997=1

5 0
3 years ago
Which of the following rectangular prisms has a base area of 40 cm2 and a volume of 160 cm3?
Anon25 [30]
The base is 4 x 10. which means that you can divide 160 by 40 to get the hieght. (The height is 4)
4 0
3 years ago
Of the 630 seats in the cafeteria 70% earners how many seats are being used
stepladder [879]

Answer:

441 seats are being used :]

Step-by-step explanation:

4 0
3 years ago
Write y= x^2 - 4x + 6 in vertex form . NEED ASAP!! please !!
worty [1.4K]
First, complete the square.
y = (x^2 - 4x + 4) + 2
y = (x - 2)^2 + 2
There you go. Have a nice day! :)
6 0
4 years ago
Identify the vertex of y = x2 + 4x + 5.
Xelga [282]
ANSWER

The vertex is (-2,1)

EXPLANATION

We want to find the vertex of

y = {x}^{2} + 4x + 5

We complete the square to obtain,

y = {x}^{2} + 4x + {(2})^{2} - {(2})^{2} + 5

The first three terms forms a perfect square trinomial.

y = {(x + 2})^{2} - 4 + 5

The vertex form is

y = {(x + 2})^{2} + 1


This equation is in the form;

y = a{(x -h})^{2} + k


where (h,k)=(-2,1) is the vertex.
4 0
3 years ago
Read 2 more answers
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