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
Anastasy [175]
3 years ago
14

Find the value of x and y to the nearest tenth

Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0
The value of 'x' is 24.2 and the value of 'y' is 46.5.

To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
    cos30° = b/34 [adjacent over hypotenuse]
    b = 34cos30° [cross-multiply]
    b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
     l² + l² = hyp²
     29.4² + h² = 34²
     h² = 1156 - 864.36
     √h² = √291.64
     h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.     
  Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
     x = 17.1 × √2
     x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u />     y = a + b
     y = 17.1 + 29.4
     y = 46.5

And there you have it! <em>Hope this helps.</em>
     <em>
</em>
You might be interested in
Perimeter 254 meters and dimension measures 6 meters​
Mamont248 [21]

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

5 0
2 years ago
ASAP PLEASE ANSWER
Alekssandra [29.7K]
The perpendicular slope is 5/4x
5 0
3 years ago
Read 2 more answers
If you have 3/4 cup of flour how many eigths do you have
Nina [5.8K]
Your answer to the problem is 6/8
4 0
2 years ago
A group of 29 friends get together to play a sport first person must be divided into team each team has to have exactly 4 player
telo118 [61]

Answer:

7 teams remaining a person

Step-by-step explanation:

29/4 = 7 remainder 1

5 0
2 years ago
What does cubed mean
allochka39001 [22]

Answer:

A cube number is a number multiplied by itself 3 times.

Step-by-step explanation:

A cubed number looks like this: x^{3}

The x is whatever number is being cubed.

3 0
3 years ago
Other questions:
  • Using only pennies, nickels, dimes, and quarters, what is the smallest number of coins Freddie would need so he could pay any am
    14·2 answers
  • AB is perpendicular to CD. How many 90 degree angles are formed by the intersection
    7·2 answers
  • Let g(x)=2x and h(x)=x^2+4 find the value <br> 1.) (g*h)(0)<br> 2.) (h*g) (a)
    11·2 answers
  • Can anyone explain this to me..please?
    9·2 answers
  • Mario’s Restaurant is planning to tile the floor of their outdoor dining area, represented by the composite figure below. The ti
    12·1 answer
  • At a charity fundraiser, adult tickets were sold for $10 each and children’s tickets were sold for $2 each. How much money was r
    11·2 answers
  • Which of the following matrices does not have an inverse?​
    13·1 answer
  • What is the missing numerator? blank over five plus eighteen over twenty equals thirty over twenty 8 5 3 2
    13·1 answer
  • The baker pays $0.80 per pound for sugar and $1.25 per pound for butter. Which of the following equations shows t, how much the
    12·2 answers
  • Please solve this question
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!