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
viktelen [127]
3 years ago
14

A right triangle has side lengths 8 ,15 , 17 and as shown below.

Mathematics
1 answer:
pantera1 [17]3 years ago
4 0

Answers:

tan(A) = 8/15

sin(A) = 8/17

cos(A) = 15/17

==================================================

Explanation:

The tangent ratio involves the opposite over adjacent. With respect to angle A, the opposite side is 8 units long as this side is as far as possible away from angle A. In contrast, the adjacent side is 15 units long because this leg is closest possible and the two are right next to one another.

Therefore,

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 8/15

---------------

As for the other trig ratios, they are:

sin(angle) = opposite/hypotenuse

cos(angle) = adjacent/hypotenuse

which explains why sin(A) and cos(A) are 8/17 and 15/17 respectively.

You might be interested in
For the line segment whose endpoints are R(1, 2) and S(6, 7), find the y value for the point located 3 ov`er 4 the distance from
Mrac [35]

Answer:

23/4

Step-by-step explanation:

This means that it is 3/4 of the distance in the x <u>and</u> y coordinates, so it is 3/4 of the way from 2 to 7, and since this is a difference of 7-2=5, then it is 2 + (5 * 3/4) or 2 + 15/4 or 23/4.

7 0
3 years ago
Marcia biked 600 meters on friday. On saturday, she biked 3 kilometers. One sunday she biked 2 kilometers and 700 meters. How ma
zepelin [54]

Answer:

6.3 km.

Step-by-step explanation:

The question asks for kilometers, so all amounts have to be calculated in the same units -- kilometers.

Convert meters to kilometers.

600 m = .6 km

700 m = .7 km.

Add the amounts:

Fri.:       .6 km

Sat.     3 km

Sun.:   2.7 km.

--------------------------------

6.3 km.

6 0
3 years ago
Which of the following is a trinomial with a constant term?
Leto [7]
I think the answer is b
4 0
3 years ago
A man places a mirror on the ground and sees the reflection of the top of a flagpole as shown in the figure below. The two trian
tigry1 [53]

Answer:

Step-by-step explanation:

B

5 0
3 years ago
A right triangle has a hypotenuse length of 12, and one side length of 9. find the missing side length. do the side lengths form
Rina8888 [55]

Use the Pythagorean theorem:

a^2+b^2=c^2

c - a hypotenuse

a, b - legs

We have: a = 9 and c = 12. Substitute:

9^2+b^2=12^2

81+b^2=144               <em>subtract 81 from both sides</em>

b^2=63\to b=\sqrt{63}\\\\b=\sqrt{9\cdot7}\\\\b=\sqrt9\cdot\sqrt7\\\\ \boxed{b=3\sqrt{7}}

A Pythagorean triple consists of three positive integers a, b and c, such that

a^2+b^2=c^2.

b=3\sqrt{7} is not positive integer.

<h3>The sides of the triangle do not form a pythagorean triple.</h3>
5 0
3 years ago
Other questions:
  • A serving tray is the shape of a rectangular prism without a top the dimentions of the tray or 8" by 10" by 2" what is the surfa
    11·1 answer
  • Use the Pythagorean theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle
    11·1 answer
  • 4.5 times 6-12 divided by 3
    10·2 answers
  • Pls help with this asap its due now
    15·2 answers
  • What is 0.00025 in scientific notation​
    12·2 answers
  • CAN SOMEONE PLEASE PLEASE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST
    15·1 answer
  • Divide: 15m^2n + 20mn/5mn
    12·1 answer
  • What is the 20th term of the arithmetic sequence<br> 3, 9, 15, 21, 27, ...?
    7·2 answers
  • There are 21 students in class. The median age of the students is 23. The oldest student is 29
    13·2 answers
  • If f(x)=2x+3÷2,find f-1(x).​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!