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

If x =4 calculate the value of 2x squared - 5

Vlad1618 [11]

<span>2x squared - 5
= 2(x)^2 - 5
= 2(4)^2 - 5
= 2(16) - 5
= 32 - 5
= 27</span>

3 0

3 years ago

Esmeralda rent a car from a company that race cars by an hour she has a pair nishal fee of $52 and then they charged her $8 per

tatuchka [14]

Answer:

11 hours is the most she can afford

Step-by-step explanation:

7 0

3 years ago