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elixir [45]
3 years ago
7

What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundre

dth. (ft²)
The figure contains a triangle. One side is 2.7 feet. The second side is 3.4 feet. The angle between the given sides is 40 degrees.

Mathematics
1 answer:
Zarrin [17]3 years ago
5 0

Answer:

A ≈ 2.95 ft²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \frac{1}{2} product of 2 sides × sine of angle between them , then

A = 0.5 × 2.7 × 3.4 × sin40° ≈ 2.95 ft² ( to the nearest hundredth )

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Two water pumps are filling a pool. One of the pumps is high power and can fill the pool 5 hours before the other can do. Howeve
9966 [12]

L = hours for the slower pump to fill the pool

L - 5 = hours for the high power pump, since it can do it in 5 hours less.

since the slower pump takes L hours, the faster pump takes then L - 5 hours.

we know both pumps together take 3 hours to do <u>half of the pool</u>, so that means that to fill up <u>the whole pool it takes them 6 hours</u>.

since the slower pump can do it alone in L hours, in 1 hour it has done 1/L of the whole thing.

likewise, since the faster pump can do it in L-5 hours, in 1 hour alone it has done 1/(L-5) of the whole job.


\bf \stackrel{\textit{slower pump's rate}}{\cfrac{1}{L}}~~~~+\stackrel{\textit{faster pump's rate}}{\cfrac{1}{L-5}}~~~~=~~~~\stackrel{\textit{total done in 1 hour}}{\cfrac{1}{6}} \\\\\\ \textit{let's multiply both sides by }\stackrel{LCD}{6(L)(L-5)}\textit{ to do away with the denominators} \\\\\\ 6(L)(L-5)\left( \cfrac{1}{L}+\cfrac{1}{L-5} \right)=6(L)(L-5)\left( \cfrac{1}{6} \right)


\bf 6(L-5)+6L=(L)(L-5)\implies 6L-30+6L \\\\\\ 12L-30=L^2-5L\implies 0=L^2-17L+30 \\\\\\ 0=(L-15)(L-2)\implies L= \begin{cases} \boxed{15}\\ 2 \end{cases}


now, we can't use L = 2, because, the whole job by both is done in 6 hours, there's no way the slower pump can do it in less than that, so L = 15.

now if L = 15, then L - 5 = 10.

5 0
4 years ago
Can somebody please help with these questions. i really need help :)
alekssr [168]

Answer:

Step-by-step explanation:

a- no u don't need to know

b- 38.7m-3.9m=34.8m

c-3.48+3.9= 38.7

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4 years ago
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Answer:

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Step-by-step explanation:

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