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
Mkey [24]
3 years ago
10

Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer: x = 12

Step-by-step explanation:

We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.

We know that:

cos(S) = adj cathetus/hipotenuse.

Then we have, for the triangle SRT.

Cos(S) = 9/SR.

for the big triangle, SQR, we have:

Cos(S) = SR/(9 + 16)

now we can find the quotient of those two equations and get:

cos(S)/cos(S) = 9/Sr*(9+16)/SR

SR^2 = 9*(25)

SR =  15.

Now with this side we can find the value of x.

We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:

9^2 + x^2 = 15^2

x = √(15^2  - 9^2) = 12

You might be interested in
How do i solve v=pi/3*r (squared)h for h
Colt1911 [192]
V=\dfrac{\pi}{3}\cdot r^2h\ \ \ \ \ |multiply\ both\ sides\ by\ 3\\\\\pi r^2h=3V\ \ \ \ |\divide\ both\ sides\ by\ \pi r^2\\\\\boxed{h=\dfrac{3V}{\pi r^2}}
3 0
3 years ago
Theresa Mitsoto invested $3,500 in a 3-year CD that paid 6.5% annual interest. She cashed out the CD at the end of two years wit
Andre45 [30]

Answer:

$56.875

Step-by-step explanation:

Given that :

Amount invested = principal, p = 3500

Interest rate, r = 6.5% = 0.065

Penalty on withdrawal = 3 month simple interest

Simple interest = principal * rate * time

Time = 3 months = 3/12 = 0.25 years

Hence,

Simple interest = 3500 * 0.065 * 0.25

Simple interest = $56.875

Hence, penalty paid = $56.875

7 0
3 years ago
Which statement describe the decimal equivalent of 3/8
Darina [25.2K]

Answer:

Hi! The answer to your question is 0.375

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

4 0
3 years ago
A river flows at the rate of 20 feet per minute What is the rate in seconds per foot?
masya89 [10]
The answer is 3. I hope this help!


6 0
3 years ago
What is the linking verb in the sentence? The sky looks clear and bright. A. clear B. sky C. bright D. looks
const2013 [10]
The answer would be D- looks. All the other options are nouns and adjectives.
6 0
3 years ago
Other questions:
  • Given angle 1 = 79, angle 3 = 27, and angle 5 = 82, find the measure of the remaining angles.
    9·1 answer
  • Solve for x. The triangles in each pair are similar.
    13·1 answer
  • What is the standard form for 200000+80000+700+6
    8·1 answer
  • Write as a fraction. Reduce fractions. Use the "/" key for the fraction bar.
    13·2 answers
  • When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 9
    12·2 answers
  • Which fraction is NOT equivalent to 4/9 ?
    6·2 answers
  • Hey! Please help,please and thank you
    13·1 answer
  • WILL MARK BRAINLIEST IF CORRECT! ANSWER A, AND B, I GOT 5 MINS
    11·1 answer
  • A basketball hoop is shown. Lisa is standing 10 feet from the basketball net. The basketball net is 8.5 feet high. Lisa apostrop
    7·1 answer
  • Helppppp nowwwww pleaseeeee now I need help with 1,2,3,4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!