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sveticcg [70]
2 years ago
5

Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make

a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden.
Mathematics
2 answers:
Katarina [22]2 years ago
6 0

The length of each side of the original garden was 6 feet.

The area of the original garden was 36 feet².

rusak2 [61]2 years ago
5 0

Answer:

6ft

36ftsquared

Step-by-step explanation:

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A manager wants to build 3-sigma x-bar control limits for a process. The target value for the mean of the process is 10 units, a
lubasha [3.4K]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Mean = 10

Sample size = 9

Standard deviation = 6

We need to find the upper and lower control limits.

so, Lower limit would be

\bar{x}-3\dfrac{\sigma}{\sqrt{n}}\\\\=10-3\times \dfrac{6}{\sqrt{9}}\\\\=10-6\\\\=4

Upper limit would be

\bar{x}+3\dfrac{\sigma}{\sqrt{n}}\\\\=10+3\times \dfrac{6}{\sqrt{9}}\\\\=10+6\\\\=16

Hence, Third option is correct.

3 0
2 years ago
An astronaut on the moon throws a baseball upward. the astronaut is 6​ ft, 6 in.​ tall, and the initial velocity of the ball is
marta [7]

Answer:

Step-by-step explanation:

The position function is

s(t)=-2.7t^2+50t+6.5 and if we are looking for the time(s) that the ball is 10 feet above the surface of the moon, we sub in a 10 for s(t) and solve for t:

10=-2.7t^2+50t+6.5 and

0=-2.7t^2+50t-3.5 and factor that however you are currently factoring quadratics in class to get

t = .07 sec and t = 18.45 sec

There are 2 times that the ball passes 10 feet above the surface of the moon, once going up (.07 sec) and then again coming down (18.45 sec).

For part B, we are looking for the time that the ball lands on the surface of the moon. Set the height equal to 0 because the height of something ON the ground is 0:

0=-2.7t^2+50t+6.5 and factor that to get

t = -.129 sec and t = 18.65 sec

Since time can NEVER be negative, we know that it takes 18.65 seconds after launch for the ball to land on the surface of the moon.

4 0
1 year ago
An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, wh
Harrizon [31]

Answer:

21% of the animals are female

Step-by-step explanation:

In total:

There are 40 + 60 = 100 animals.

Female animals.

40 dogs. Of those, 15% are female. So 0.15*40 = 6.

60 cats. Of those, 25% are female. So 0.25*60 = 15.

21 female animals.

21/100 = 0.21 = 21%

21% of the animals are female

3 0
2 years ago
Daniel's yard is perfectly rectangular. It has a length of 28 yards and a perimeter of 88 yards. Find the width of his yard.
Digiron [165]

Draw a picture of the yard, rectangle. On the two long sides, write 28 yards and on the two shorter ones, just write a question mark.

To figure out perimeter, you need to add up each side.

P = Perimeter

L = Length

W = Width

P = L(2) + W(2)

If the length is 28, double it. = 56

Now subtract that from the perimeter - 88-56=32

32 is what you have left, so now split that, and replace the question marks.

All-in-all each width is 16 yards, while each length is 28, making the whole rectangle have a perimeter of 88 yards.

8 0
2 years ago
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Anvisha [2.4K]

Answer:

probably 3 miles

Step-by-step explanation:

7 0
1 year ago
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