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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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The area of a square concrete slab is 20 square feet. Find the side length of the square concrete slab if the area is increase b
guapka [62]

The side length of the square concrete slab if the area is increased by 25% is 5feet

The formula for calculating the area of a square is expressed as:

A =  L² where:

L is the side length of the square

Given the area of the square concrete slab = 20 square feet

20 = L²

L =√20

If the area is increased  by 25%, new area will be:

An = 20 + (0.25*20)

An = 20 + 5

An = 25 sq.ft

Get the new length

An = Ln²

25 =   Ln²

Ln = √25

Ln = 5feet

Hence the side length of the square concrete slab if the area is increased by 25% is 5feet

Learn more here: brainly.com/question/11300671

7 0
3 years ago
A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery servic
sineoko [7]

Answer:

55.32% probability that a late package was delivered by express delivery service 2

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Late delivery.

Event B: Service 2 was used.

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.

100 - 35 = 65%.

So P(B) = 0.65

Service 2 has a record of 2.0% of packages being delivered late.

This means that P(A|B) = 0.02

Probability of a late delivery.

35% from service 1. Of those, 3% are late.

65% from service 2. Of those, 2% are late.

So

P(A) = 0.35*0.03 + 0.65*0.02 = 0.0235

What is the probability that a late package was delivered by express delivery service 2

P(B|A) = \frac{0.65*0.02}{0.0235} = 0.5532

55.32% probability that a late package was delivered by express delivery service 2

5 0
3 years ago
Which expression is equivalent to the area of square A, in square inches?
VladimirAG [237]
One side of Square A is the hypotenuse of the white triangle.  The square of this hypo. is 24^2+10^2 = 576 + 100 = 676.  Since the square of the hypo is the area of Square A, Square A has the area 676 sq. in.

5 0
3 years ago
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stich3 [128]

Answer:C- 3x - 7y and 3y - 7x

Step-by-step explanation:

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Answer:

Provide 3 to 4 well written sentences, summarizing the information from the video about the three regions of the 13 colonies.  

Step-by-step explanation:

Provide 3 to 4 well written sentences, summarizing the information from the video about the three regions of the 13 colonies.  

Provide 3 to 4 well written sentences, summarizing the information from the video about the three regions of the 13 colonies.  

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