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Andreyy89
3 years ago
13

A sprinkler sprays over a distance of 40 feet and rotates through an angle of 80. Find the area watered by the sprinkler.

Mathematics
1 answer:
il63 [147K]3 years ago
7 0

Answer:

1,115.8937105551

Step-by-step explanation:

[ π x 40² ] =5,026.5482457437

[ 80 / 360 ] ft² =[,222] ft²

5,026.5482457437 X [,222] ft²= 1,115.8937105551 ft² 

A = [ π x 40² ] [ 80 / 360 ] ft² 

A = 1,115.8937105551 ft²

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Sarah started 3 miles below the rim of the canyon and hiked until she was 8 miles above the rim. Her brother Sam said she hiked
larisa86 [58]

Answer:

D

Step-by-step explanation:

We can assume that the rim of the canyon is 0. Sarah started 3 miles <u>below</u>, so -3, BUT distance can never be negative, so it's considered 3 miles. Then, she went 8 miles <u>above</u> zero. So the 3 miles she went <em>before</em> reaching the rim plus the 8 miles she went <em>after</em> reaching the rim equals 11 miles.

So now we know that Sarah is right, but how do we know which equation is correct? Well, if we look at option C:

|-3+8|=11

When solving absolute value, we solve everything within the absolute value before applying the absolute value. This means that we add -3+8 first, which equals 5, and then apply absolute value, which still equals 5. This equation is not correct.

I hope this helps!

3 0
3 years ago
Read 2 more answers
A pole casts a 6-foot shadow. If the distance from the top of the pole to the tip of the shadow is
KATRIN_1 [288]

Answer:

8feet high

Step-by-step explanation:

To get the height of the pole, we will use the pythagoras theorem. Let H be the height

H²  = 10² -6²

H² = 100 - 36

H² = 64

H = √64

H = 8feet

Hence the pole is 8feet high

3 0
2 years ago
24% of students buy there lunch, 190 students bring their lunch from home. How many students are there in total
miv72 [106K]

so we know that 24% of the students buy their lunch at the cafeteria, and 190 students brownbag.

well, 100% - 24% = 76%, so the remainder of the students, the one that is not part of the 24% is 76%, and we know that's 190 of them.

since 190 is 76%, how much is the 24%?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 190&76\\ x&24 \end{array}\implies \cfrac{190}{x}=\cfrac{76}{24}\implies 4560=76x \\\\\\ \cfrac{4560}{76}=x\implies 60=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total amount of students}}{190+60\implies 250}

6 0
3 years ago
Read 2 more answers
At a school book fair, 3/5 of the books are nonfiction books. of the nonfiction books, 1/4 are animal books. what fraction of th
bulgar [2K]

Answer:

Animal books make up (3/20) of all books

Step-by-step explanation:

Let X be the total number of books, made up of nonfiction, animal, and all others.

(3/5)X are nonfiction books.

Of the nonfiction books, 1/4 are animal books:  (3/5)*(1/4)X = (3/20)X are animal books

[This means that Nonfiction, less animal books is:  (3/5)X - (3/20)X]

Animal books make up (3/20) of all books.

5 0
1 year ago
HELP i rlly need help bc its a test so reply fast
melomori [17]

Answer:

The answer is D.

Step-by-step explanation:

4 0
3 years ago
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