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
MAXImum [283]
3 years ago
9

Analyze the diagram below and complete the instructions that

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

9514 1404 393

Answer:

  D.  x = 15; y = 5√3

Step-by-step explanation:

You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.

Since x < 10√3, only answer choices A and D are viable.

Since y < 10√3, only answer choice D is viable.

_____

If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.

  x = 15; y = 5√3

You might be interested in
Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to t
ella [17]

Answer:

Step-by-step explanation:

h=11.4 in

r=5.1 in

v=3.14*r^2*(h/3)

V=3.14*5.1^2*(11.4/3)=3.14*26.01*3.8=310.35

5 0
2 years ago
Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence.
11111nata11111 [884]

Answer:

For the first one: they increase in  by 14, so the three could be 73,87,101

Second: Sequential, increasing by 20, next could be 110, 130, 150

Third: Increase by 27, next three could be 122,149,176

8 0
3 years ago
Carla has 58 pencils what is the value of the digit of in this number
myrzilka [38]
Which one five or eight?
4 0
3 years ago
Read 2 more answers
A=3 b=2 c=7<br>a+b+c=??<br>Help me please thank you​
tester [92]

Answer: 13

Step-by-step explanation:

<u>Given:</u>

a+b+c, where a=3, b=2, c=7

<u>Solve:</u>

Given

 a+b+c

Substitute values into the expression

=(3)+(2)+(7)

Combine like terms

=6+7

=13

3 0
3 years ago
Read 2 more answers
Which unit rate is equivalent to 13 miles per gallon? twenty-six miles over two gallons : two gallons over twenty-six miles thir
jeka94
Twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2
4 0
3 years ago
Read 2 more answers
Other questions:
  • Some species of hummingbirds appear to hover in mid-air by flapping their tiny wings 80 times per second. How many times per min
    15·1 answer
  • An oblique prism is created using rhombuses with edge lengths of 25 units. The area of one rhombus is 600 sq units. The perpendi
    13·2 answers
  • A quadrilateral has three angles that measure 80°, 110°, and 75°. Which is the measure of the fourth angle
    6·1 answer
  • Help me pleaseeeeeeeeee
    8·1 answer
  • What is 3.125 as a fraction
    15·2 answers
  • a fisherman positions his net to -8 feet relative to the surface of the water. how far does he need to raise his net to bring it
    15·1 answer
  • HELP MEEEE PLSSS &lt;33
    9·2 answers
  • The mean of Fred’s grades on five tests was 75.2. The grades on the first 4 of these tests were 87, 84, 88, and 45. Find the gra
    9·2 answers
  • Question is attached PLS HELP!​
    8·1 answer
  • Omg!? Is 96 correct??
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!