All categories

2 years ago

Which equation can be used to find the measure of angle FGE?

Mathematics

1 answer:

elena-s [515]2 years ago

3 0

SOH CAH TOA tells you

Sin(x) = Opposite/Hypotenuse

The side opposite x is 9; the hypotenuse is 15.2. Putting these values into the above equation gives you the second selection

sin(x) = 9/15.2

_____

SOH CAH TOA is a mnemonic that can be used to remember the definitions of the basic trig functions, sine, cosine, and tangent. In this context, A stands for the side Adjacent to the angle.

You might be interested in

Mr. Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some brace

lisabon 2012 [21]

Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3

Step-by-step explanation:

The data we have is:

Gonzales has $42.50

He wants to buy:

a shirt that costs $29

some bracelets that cost $4.50 each.

The equation that we need to solve is:

Total cost = money that Gonzales has.

The cost is $29 + x*$4.50

where x is the number of bracelets he can buy.

The equation that we need to solve is:

$29 + x*$4.50 = $42.50

to solve it we must isolate x:

x*$4.50 = $42.50 - $29 = $13.50

x = 13.50/4.50 = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

8 0

2 years ago

Read 2 more answers

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s

emmainna [20.7K]

Answer:

Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

option D for Edgu hope this helps :)

9 0

2 years ago

Read 2 more answers

The blade length is the radius of the circle formed by the area swept by the blades to the nearest square foot, what is the area

rewona [7]

Sorry i do not know wish i did

3 0

2 years ago

Read 2 more answers

If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it

topjm [15]

Answer:

0.64 seconds

Step-by-step explanation:

In the equation provided:

h = −16t2 + 4t + 4

h is the height of the ball and t is time. Since we want to find the time when the ball touches the floor, then height is 0. This leaves us with the equation

-16 $t^{2}$ + 4t + 4 = 0

This is a quadratic equation can be solved with the following formula:

$x= \frac{-b+-\sqrt{b^{2}-4ac } }{2a}$

where a=-16

b=4

c=4

Solving for t we will find two different results:

$t1=\frac{-4-\sqrt{272} }{2(-16)} =0.125+0.125\sqrt{17} =0.64039$ $t2=\frac{-4+\sqrt{272} }{2(-16)} =0.125-0.125\sqrt{17} =-0.39039$

Since time can't be negative, we discard t2 and choose t1.

Since it is required to answer in the nearest hundredth, we round the result to t=0.64 seconds.

5 0

2 years ago

Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal. 1. Triangle A B C has angle m

MAXImum [283]

Answer:

The correct option: (2) Triangle ABC that has angle measures 45°, 45° and 90°.

Step-by-step explanation:

It is provided that a triangle ABC has an acute angle for which the sine and cosine ratios are equal to 1.

Let the acute angle be m∠A.

For the sine and cosine ratio of m∠A to be equal to 1, the value of Sine of m∠A should be same as value of Cosine of m∠A.

The above predicament is possible for only one acute angle, i.e. 45°, since the value of Sin 45° and Cos 45° is,

$Sin\ 45^{o} =Cos\ 45^{o} = \frac{1}{\sqrt{2} }$

So for acute angle 45° the ratio of Sin 45° and Cos 45° is:

$\frac{Sin\ 45^{o}}{Cos\ 45^{o}} = \frac{\frac{1}{\sqrt{2} } }{\frac{1}{\sqrt{2} } } = 1$

Hence one of the angles of a triangle is, m∠A = 45°.

Comparing with the options provided the triangle is,

Triangle ABC that has angle measures 45°, 45° and 90°.

Thus, the provided triangle is a right angled isosceles triangle, since it has two similar angles.

7 0

2 years ago