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ehidna [41]
3 years ago
11

PLEASE HELP ME PLEASE (10 mins)

Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

Step-by-step explanation:

1) When the sector is cut out, the remaining sector would be used to form the cone. The angle subtended by this sector would be

360 - 60 = 300°

The length of the arc of this sector would represent the circumference of the circular base of the conical hat.

Radius of the circle = diameter/2 = 20/2 = 10 inches

Formula for length of arc = #/360 × 2πr

Where

# is the subtended angle

Therefore,

Length of arc = 300/360 × 2 × 3.14 × 10 = 52.3 inches

circumference of the circular base of the conical hat = 52.3 inches

2) the surface area = πrl

Where

l represents the slant height

the radius of the circle would become l.

To determine the radius of the cone, we would apply, we would make use of the circumference of the circular base.

Circumference = 2πr

52.3 = 2 × 3.14 × r

r = 52.3/6.28 = 8.33 inches

Surface area = 3.14 × 8.33 × 10 = 262 inches²

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Answer:

6z(z+3)

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6z square + 18z

take common..

6z(z+3)

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3 years ago
I AM VERY DESPERATE NOW!!! I HAVE ASKED THIS SAME QUESTION 3 TIMES AND NOBODY HAS BEEN ABLE TO ANSWER IT. PLEASE HELP, SOMEONE!!
Alexandra [31]

Answer:

Interest rate is 5.25% a year.

Step-by-step explanation:

r = (1/54)((22252.5/18000) - 1) = 0.004375

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8 0
3 years ago
Read 2 more answers
P(t) = 2ť + 10<br> n(t) = 4<br> What’s the function (p+n) (t)?
Evgen [1.6K]

Answer:

\boxed{\sf (p + n)(t) = 2t + 14}

Given:

\sf p(t) = 2t + 10 \\ \sf n(t) = 4

To find:

\sf (f + g)(x) = f(x) + g(x)

Step-by-step explanation:

\sf \implies(f + g)x = f(x) + g(x) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (2t + 10) + ( 4) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 2t + 10 + 4 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 2t + 14

7 0
3 years ago
A TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 500
nekit [7.7K]

Answer:

0.903264

Step-by-step explanation:

Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.

Let A' = the event that A fails, B' =  B fails and C'= C fails.

Probability that no circuit board fails = Prob (A'B'C')

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3 years ago
The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a ki
pishuonlain [190]
Let the height of the kiwi be x, then the height of the ostrich is 20 + 4x.
20 + 4x = 108
4x = 108 - 20 = 88
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6 0
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