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
weeeeeb [17]
2 years ago
6

In triangle RST, RS = 6 cm, ST = 7 cm, and RT = 8 cm. What is the approximate measure of the largest angle in the triangle?

Mathematics
2 answers:
olga nikolaevna [1]2 years ago
7 0

Answer:

The approximate measure of largest angle is 76°

Step-by-step explanation:

Given in triangle RST, RS = 6 cm, ST = 7 cm, and RT = 8 cm. we have to find the measure of the largest angle in the triangle.

By theorem If one side of a triangle is longer than the another side, then the angle opposite to the longer side of triangle will be larger than the angle opposite to the shorter side.

As longest side is RT.

∴ the angle opposite to the side RT is largest i.e ∠S is largest.

By cosine law,

cos \angleS=\frac{RS^2+ST^2-RT^2}{2(RS)(ST)}

⇒ cos \angleS=\frac{6^2+7^2-8^2}{2(6)(7)}

⇒ cos \angleS=\frac{6^2+7^2-8^2}{2(6)(7)}

⇒ cos \angleS=\frac{1}{4}

⇒ \angleS=cos^{-1}(\frac{1}{4})=75.5224878141
\sim76^{/circ}

The approximate measure of largest angle is 76°

           

zubka84 [21]2 years ago
4 0
<span>the approximate measure of the largest angle in the triangle is 75.5 degrees</span>


You might be interested in
To which subset of real numbers does the number 1/5 belong
frozen [14]
Irrational is the correct answer
7 0
2 years ago
Read 2 more answers
The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?
QveST [7]

Answer:

Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Step-by-step explanation:

5 0
3 years ago
The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 12. Find the mean for the number
Sever21 [200]

Answer:

mean = 8.4

Step-by-step explanation:

Mathematically, we have the mean as np

This is the product of the number of items per batch by the probability that each of the products will germinate

Mathematically, we have this as:

0.7 * 12 = 8.4

7 0
2 years ago
Which are irrational and which are rational ?
a_sh-v [17]

Answer: 8/9 is rational

.2593 irrational

square root of 7: irrational

square root of .25 is rational

square root of 14: irrational

0 is a: rational

square root of 280: irrational

square root of 35: is irrational

.2222: is rational

square root of 3r is a rational number......

Step-by-step explanation:

8 0
3 years ago
Need answers asap!!!!!!!!!!!!!!
IRINA_888 [86]

Answer:

The answer is

x equal -243

4 0
3 years ago
Read 2 more answers
Other questions:
  • which two consecutive whole numbers does the square root of 55 lie between? Explain how you determined the two whole numbers
    11·1 answer
  • 1. Name of transportation 2. Source of energy 3. How energy was converted 4. Disadvantages that were present
    11·1 answer
  • In a card game, playerdraws 2 cards
    15·2 answers
  • A juice bar conducted a survey to determine which juice drink its customers prefer the juice har selected every 10th customer in
    8·2 answers
  • a park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park
    9·1 answer
  • Fill in the blank:
    6·1 answer
  • Amy has a triangle with side lengths of 6 and 8. What is the length of the <br> hypotenuse.
    7·1 answer
  • Need Help!!!!!!!!!!!!!!!!
    8·1 answer
  • Help with algebra 3 please
    10·1 answer
  • 1. Which of the following statements about absolute value is not true?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!