4 years ago

Really need your help

Mathematics

1 answer:

Crank4 years ago

3 0

1: (n + 10) +5

2: (n - 7) x 8

3: (n ÷ 3) -1

4: ([n - 8] x 6) - 10

5: (n - 1) - (2n)

6: [n x (-n)] + 7

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What is m∠V ? Round only your final answer to the nearest tenth. 53.9º 56.1º 61.9º 70.0º The figure shows acute triangle U V W.

IrinaVladis [17]

The correct option is: 53.9°

Explanation

According to the below diagram, $\triangle UVW$ is acute triangle, in which $\overline{UV}= 7.6 inches, \overline{VW}= 8.6 inches$ and $\overline{WU}=7.4 inches$

If we apply cosine rule here, then we will get.....

$cos(V) = \frac{(UV)^2+(VW)^2 -(WU)^2}{2(UV)(VW)}$

Now, plugging the given values, we will get....

$cos(V)=\frac{(7.6)^2+(8.6)^2-(7.4)^2}{2(7.6)(8.6)}\\ \\ cos(V)= \frac{76.96}{130.72}=0.58873...\\ \\ V= cos^-^1(0.58873...)=53.932.... \approx 53.9 degree$