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timurjin [86]
3 years ago
7

A manhole measures 3' 4" in diameter. What is the area of a metal cover for the manhole, assuming a one-inch overhang around the

circumference of the cover?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0
I drew the entire problem. The final answer would be 441pi in²

I highly advise you to look at how it could work by looking at the drawing. Hope this helps :)

The blue line is the 1 inch overhang, and I add two the the diameter to get the full diameter including the overhang

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Drawing a card- four cards are drawn from a desk without replacement.Find these probabilities.
svetlana [45]

The deck consists of 4 jacks, 26 black cards, and 13 hearts.

There is only 1 way of drawing all 4 jacks: \dbinom44=\dfrac{4!}{4!(4-4)!}=1.

There are \dbinom{26}4=14,950 ways of drawing 4 black cards.

There are \dbinom{13}4=715 ways of drawing 4 hearts.

There are \dbinom{52}4=270,725 ways of drawing any 4 cards.

The probabilities are then

a.

\dfrac{\binom44}{\binom{52}4}=\dfrac1{207,725}\approx0.00000369

b.

\dfrac{\binom{26}4}{\binom{52}4}=\dfrac{46}{833}\approx0.0552

c.

\dfrac{\binom{13}4}{\binom{52}4}=\dfrac{11}{4165}\approx0.00264

5 0
3 years ago
Which equation represents this number sentence?
olasank [31]

Answer:

The answer to your question is: the second option

Step-by-step explanation:

a) This is not the right answer, the sentence to this option could be: fourteen more than the quotient of five and a number is 23.

b) This is the right option, the sentence is given in the description.

c)  This is not the right answer, the sentence to thi option could be: the quotient of fourteen plus a number and five is 23.

d) This is not the right answer, the sentence of this option could be: the quotient of five and the addition of a number and fourteen is 23.

4 0
3 years ago
The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month.
Ede4ka [16]
800 * 100 = 80000
810 * 99 = 80190
900 * 90 = 81000
1000 * 80 = 80000
(800 + 10n) (100-1n)
=(800 +10(11)) (100 - 11)<span> (910)(89) = 80990</span>
6 0
3 years ago
What is the outlier of this distribution?
seraphim [82]

Answer:

post the picture of the graph and numbers.

6 0
3 years ago
Help with the question above! Pleaseeeeee!
SSSSS [86.1K]
Question 5:
 the circumference is given by:
 C = 2 * pi * r
 Where,
 r: radio of the ball
 Substituting values we have:
 22 = 2 * pi * r
 Clearing r we have:
 r = 11 / pi
 The surface area is given by:
 A = 4 * pi * r ^ 2
 Substituting values we have:
 A = 4 * 3.14 * (11 / 3.14) ^ 2
 A = 154 in ^ 2
 Answer:
 
The surface area of the balloon is:
 
A = 154 in ^ 2

 Question 8:
 For this case we have that the scale factor is given by:
 V1 = (k ^ 3) * V2
 Substituting values we have:
 729 = (k ^ 3) * 2744
 Clearing k:
 k = (729/2744) ^ (1/3)
 k = 9/14
 Answer:
 the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
 9:14

 Question 2:
 The volume of the cylinder is given by:
 V = pi * r ^ 2 * h
 Where,
 r : radio
 h: height
 Substituting values:
 V = pi * (2.8) ^ 2 * (13)
 V = 101.92 * pi
 Answer:
 
The volume of the cylinder is:
 
V = 101.92 * pi
 
option 3
4 0
3 years ago
Read 2 more answers
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