1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrews [41]
3 years ago
10

Given right triangle DEF, what is the value of sin(E)? A. 3/5 B. 3/4 C. 4/5 D. 4/3

Mathematics
2 answers:
wariber [46]3 years ago
8 0

Answer: OPTION A.

Step-by-step explanation:

First you must calculate the lenght of the side DF by applying the Pythagorean theorem, as following:

DE=\sqrt{10^{2}-8^{2}}=6

Now you can find sin(E) as you can see below:

sin\alpha=opposite/hypotenuse

Where:

\alpha=E\\opposite=DF=6\\hypotenuse=EF=10

Then:

 sin(E)=6/10

sin(E)=3/5

xenn [34]3 years ago
6 0

Answer:

The correct answer is option A. 3/5

Step-by-step explanation:

<u>Pythagorean theorem:-</u>

Hypotenuse² = Base² + Height²

Trigonometric ratio:-

Sin(∅) = Opposite side / Hypotenuse

It is given a right angled triangle DEF.

DE = 8 and FE = 10

<u>To find the length of DF</u>

Hypotenuse² = Base² + Height²

FE² = DF² + DE²

DF² = FE² - DE² =  10² - 8² = 100 - 64 = 36

DF =√36 = 6

<u>To find Sin(E)</u>

Sin(E) = Opposite side / Hypotenuse = DF/EF = 6/10 =3/5

Sin(E) = 3/5

The correct answer is option A. 3/5

You might be interested in
Given the equation 4x2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k =
GenaCL600 [577]

Answer:

The correct option is:

h = 1, k = 16

Step-by-step explanation:

y=4x^2-8x+20 =0

It is a quadratic formula in standard form:

ax^2+bx+c

where a = 4 , b = -8 and c=20

The vertex form is:

a(x − h)2 + k = 0

h is the axis of symmetry and (h,k) is the vertex.

Calculate h according to the following formula:

h = -b/2a

h= -(-8)/2(4)

h = 8/8

h = 1

Substitute k for y and insert the value of h for x in the standard form:

ax^2+bx+c

k = 4(1)^2+(-8)(1)+20

k = 4-8+20

k=-4+20

k = 16

Thus the correct option is h=1, k=16....

8 0
3 years ago
Mark which ratios are equivalent to 5/7. Mark all that apply.
HACTEHA [7]

Answer:

5/10 20/28

Step-by-step explanation:

i think only these.. hope this helps..

6 0
3 years ago
Read 2 more answers
Jenny drove her tractor down a row of her cornfield. She drove at constant velocity of 34metersperminute down the row. The row w
tamaranim1 [39]

Answer:

5 mins

Step-by-step explanation:

680/4

=170 meters (quarter of 680m)

170/34

=5 mins

7 0
3 years ago
Read 2 more answers
Find f if f(x)=23; 23= x²+7
ioda
Don't you mean "x?"
8 0
3 years ago
What’s bigger - 2/3 or -0.8
Salsk061 [2.6K]

Answer:

-2/3  is greater than  -0.8

Step-by-step explanation:

-2/3 when made into a decimal is about -0.67

This is greater than -0.8 because -0.67 covers less area when put into a visual.

6 0
2 years ago
Read 2 more answers
Other questions:
  • If LN=54 and LM=31, find MN
    9·2 answers
  • Is this proportional
    15·2 answers
  • What is the eqivalent expression for 3p+12m+8
    9·2 answers
  • △STU is an equalateral triangle, if ST is one less than twice x, SU Is 37 less than 5 times x, and TU is 11 more than x, find x
    5·1 answer
  • What does 250 X 5 equal
    7·2 answers
  • The following data contains​ coaches' salaries and team revenues​ (in millions of​ dollars) for ten college basketball teams. Us
    6·1 answer
  • What is the value of x 3x+5=2x-1
    5·2 answers
  • Suppose f(x)=2x-5 and g(x)=|-3x-1|. <br> Find the following value. G(2)-f(0)=
    10·1 answer
  • Triangle DEF with vértices D(2,1), E(3,5), F(6,2) is reflected acreage the x-axis to make triangle D’E’F
    6·1 answer
  • Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!