All categories

3 years ago

In ΔDEF, the measure of ∠F=90°, DF = 24, FE = 7, and ED = 25. What ratio represents the sine of ∠E?

Mathematics

1 answer:

Oxana [17]3 years ago

6 0

<h3>Answer: 24/25</h3>

===============================================================

Explanation:

Check out the drawing below.

The sine ratio involves opposite over hypotenuse, so we'll use sides DF and ED.

sin(angle) = opposite/hypotenuse

sin(E) = DF/ED

sin(E) = 24/25

You might be interested in

Simplify -15.4/-4…………………….<br> −3.9<br><br> 3.9<br><br> −4.9<br><br> 4.9

Dafna1 [17]

It is 3.9 I hope this will help you

8 0

3 years ago

Y=2x-10 substitution <br> Y=4x

Arada [10]

X=5
Work:

y=2x-10
4x=2x-10
2x=10, then divide 2x on each side
x=5

4 0

4 years ago

Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart aft

Kisachek [45]

Answer:

they travel 115 km/h long

4 0

3 years ago

In triangle abc, cos A= -0.6. Find A and Tan A

Tresset [83]

Answer:

Part 1) $A=126.87^o$

Part 2) $tan(A)=-\frac{4}{3}$

Step-by-step explanation:

we have

$cos(A)=-0.6$

The cos(A) is negative, that means that the angle A in the triangle ABC is an obtuse angle and the value of the sin(A) is positive

The angle A lie on the II Quadrant

step 1

Find the measure of angle A

$cos(A)=-0.6$

using a calculator

$A=cos^{-1}(-0.6)=126.87^o$

step 2

Find the sin(A)

we know that

$sin^2(A)+cos^2(A)=1$

substitute the value of cos(A)

$sin^2(A)+(-0.6)^2=1$

$sin^2(A)=1-0.36$

$sin^2(A)=0.64$

$sin(A)=0.8$

step 3

Find tan(A)

we know that

$tan(A)=\frac{sin(A)}{cos(A)}$

substitute the values

$tan(A)=\frac{0.8}{-0.6}$

Simplify

$tan(A)=-\frac{4}{3}$

5 0

3 years ago

Compare the graph of the function, g(x)=(1)/(x-1)-3(, with the graph of its parent function. ) Which of the following options be

mars1129 [50]

Answers:

right 1, down 3 (these two answers only)

Step-by-step explanation:

There are two transformations going on. The first of which is the horizontal or x translation (aka shifting) where the 'x' turns into 'x-1'. This moves the xy axis 1 spot to the left, giving the illusion that the graph moves 1 unit to the right.

The "-3" at the end shifts the graph down 3 units. If g(x) = f(x) - 3, then g(x) is the output of f(x) but 3 less than that, which is why it shifts down 3 units.

4 0

3 years ago