A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.

The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.

$cos 40=\frac{10}{Hypotenuse EG.}$

B) Cos 40 =0.766.

Substituting tan40 value we have:

$0.766=\frac{10}{EG}$

EG=13.05.

C)Sum of angles in triangle is 180.

<E+<F+<G=180

<E+90+40=180

<E+130=180

<E=50 degrees.

D) $Tan 40=\frac{EF}{10}$

EF=8.39

E) Area of triangle EFG= $\frac{1}{2}x base x height.$

A rea of the triangle = $\frac{1}{2}x8.39x13.05$

Area= 54.75 square units.

5 0

3 years ago

I'm supposed to simplify this.

tekilochka [14]

Answer:

Step-by-step explanation:

the proof of the answer is seen in the diagram

4 0

3 years ago

Two farmers bought a truck. The first farmer paid 4/5 of the price, and the second paid the rest. The first farmer's share was

koban [17]

<h3>Answer:</h3>

C) $12,000

<h3>Step-by-step explanation:</h3>

4/5 = 9600

÷4

1/5 = 2400

4/5 + 1/5 = 5/5 = the whole price

9600 + 2400 = 12000

=$12,000

6 0

3 years ago