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tatiyna
4 years ago
9

AC = Round your answer to the nearest hundredth.

Mathematics
1 answer:
dusya [7]4 years ago
4 0

Answer:

AC ≈ 5.03

Step-by-step explanation:

We can solve the problem above using the trigonometric ratio, they are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ= adjacent/ hypotenuse

tan Ф = opposite / adjacent

From the diagram above, in reference to angle B;

opposite =AC     and   adjacent =BC

Since we have opposite and adjacent, the best formula to use is

tanФ = opposite / adjacent

tan B = AC  / BC

tan 40 =  AC/ 6

Multiply both-side of the equation by 6

6× tan 40   =  AC/ 6  ×  6

At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC

6×tan 40 = AC

5.034598  = AC

AC ≈ 5.03   to the nearest hundredths

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Find the unknown side of the right triangle. Round to the nearest thousandths. One side is 9yd, the other side is 12 yd.
lakkis [162]
You haven't told us whether 9 and 12 are the two legs of the triangle, or whether the 12yd is the longest side.

<u>If the 9 and the 12 are the two legs, then</u>:
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C² = 81 + 144
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C = <u>15 yd</u>

<u>If the 12 is the longest side, then</u>:
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3 years ago
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ANEK [815]

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5 0
3 years ago
Can someone help me with number 3 please there is 3 answers!!
AlekseyPX

Answer:

m<J = 83

m<L = 97

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Step-by-step explanation:

The corners across (left to right/right to left) from each other of a trapezoid are always equal.

So, it would be like this:

Angle J is equal to angle K

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See how they are across from each other?

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So, Angle L and M are 97 degrees.

To check your answer you can add up all the corners and they should equal 360 degrees:

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<em />

<em>Hope this helps!!</em>

<em>- Kay :)</em>

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