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
ratelena [41]
3 years ago
14

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

You might be interested in
Help !!!! Thank you!!!!
castortr0y [4]

Answer:

Option (G)

Step-by-step explanation:

Volume of the real cane = 96 in³

Volume of the model of a can = 12 in³

Volume scale factor = \frac{\text{Volume of the model}}{\text{Volume of the real can}}

                                 = \frac{12}{96}

                                 =\frac{1}{8}

Scale factor of the model = \sqrt[3]{\text{Volume scale factor}}

                                          =\sqrt[3]{\frac{1}{8}}

                                          =\frac{1}{2}

Therefore, scale factor of the model of a can = \frac{1}{2} ≈ 1 : 2

Option (G) will be the correct option.

3 0
3 years ago
Find the mean median of each data set.
joja [24]
Median 72.5
Mean is 76
8 0
2 years ago
A triangle has an angle that measures 10°. The other two angles are in a ratio of 7:10. What are the measures of those two angle
Sliva [168]

Answer:

100 degrees and 70 degrees

Step-by-step explanation:

180 - 10 = 170

with a ratio of 7:10

7x + 10x = 170

17x = 170

x = 170/17    

x = 10

one angle in 100 degrees and the other is 70 degrees

4 0
2 years ago
HELP! LOOK AT THE IMAGES BELOW
sineoko [7]

Answer:

(g+f)(x)=(2^x+x-3)^(1/2)

Step-by-step explanation:

Given  

f(x)= 2^(x/2)

And

g(x)= √(x-3)

We have to find (g+f)(x)

In order to find (g+f)(x), both the functions are added and simplified.

So,

(g+f)(x)= √(x-3)+2^(x/2)  

The power x/2 can be written as a product of x*(1/2)

(g+f)(x)= √(x-3)+(2)^(1/2*x)

We also know that square root dissolves into power ½

(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)

We can see that power ½ is common in both functions so taking it out

(g+f)(x)=(x-3+2^x)^(1/2)

Arranging the terms

(g+f)(x)=(2^x+x-3)^(1/2)  ..

5 0
3 years ago
What is 62.713 rounded to the nearest hundredth?
irina [24]
62.71 would be the answer
8 0
3 years ago
Other questions:
  • List the next three terms in the following sequence: 1, 2, 4, 7, 11, 16,...
    12·1 answer
  • Solve for x
    10·2 answers
  • What is expanded form?
    6·2 answers
  • Distance between (4,2) and (6,5)
    15·1 answer
  • The number sentence 4×7= (4×3) + (4×4) is an example of what property?
    15·1 answer
  • Plz help with the correct answer please
    7·1 answer
  • Which equation matches the relationship shown in the table
    13·1 answer
  • Emma is a sales clerk at a bicycle shop. She is paid $6.25 per hour for 30 hours work week plus a commission of 8% of sales. In
    10·1 answer
  • PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
    8·2 answers
  • What is the value of A?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!