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Shalnov [3]
3 years ago
11

Jenna wants to build 8 birdhouses. She needs 2 3/5 square feet of plywood for each birdhouse. If the plywood costs $0.56 per squ

are foot, how much will it cost Jenna to make her birdhouses?
Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

Answer:

$11.76

Step-by-step explanation:

We first need to find the amount of plywood for all birdhouses.

2 3/5 * 8 = 104/5 or 20.8 or 20 4/5

Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.

20.8 * 0.56 = $11.648 or estimated $11.65

Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.

21 * 0.56 = $11.76

Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.

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UkoKoshka [18]

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3 years ago
!!!PLEASE HELP ME !!! AND INCLUDE AN EXPLANATION
Ede4ka [16]

Since you have the 42-deg angle and the length of the opposite side, 31, you can use the Law of Sines.


\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}


We will use the law of sines first to find x.

Once we know x, we can find the angle opposite y.

Then we can find y.


\dfrac{31}{\sin 42^\circ} = \dfrac{37}{\sin x}


\sin x = \dfrac{37\sin 42^\circ}{31}


\sin x = 0.798639


x = \sin^{-1} 0.798639 = 53^\circ


Let z = the angle opposite y.


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\dfrac{31}{\sin 42^\circ} = \dfrac{y}{\sin 85^\circ}


y = \dfrac{31 \sin 85^\circ}{\sin 42^\circ}


y = 46.2


3 0
3 years ago
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