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
ki77a [65]
3 years ago
8

If the area of AABC is D, give the expressions that complete the equation for the measure of ZB?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
6 0

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

m\angle B=\sin ^{-1}(\dfrac{m}{n})

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

Area=\dfrac{1}{2}\times base\times h

Where, b is the base and h is the height of the triangle.

Area=\dfrac{1}{2}\times a\times h

The area of the triangle ABC is D.

D=\dfrac{1}{2}\times a\times h

2D=ah

\dfrac{2D}{a}=h                  ...(i)

In a right angle triangle,

\sin \theta =\dfrac{Perpendicular}{Hypotenuse}

\sin B =\dfrac{h}{c}

\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}              [Using (i)]

\sin B =\dfrac{2D}{ac}

m\angle B =\sin ^{-1}\dfrac{2D}{ac}            ...(ii)

We have,

m\angle B=\sin ^{-1}(\dfrac{m}{n})          ...(iii)

On comparing (ii) and (iii), we get

m=2D

n=ac

Therefore, the required values are m=2D, n=ac.

You might be interested in
Identify the y-intercept ​
Naya [18.7K]
The Y-intercept is -2.
5 0
3 years ago
Read 2 more answers
2 less than a number times 6
Alex17521 [72]
Answer: 6x- 2

Explanation: 2 less means (- 2) a number times 6 can be written as 6x
8 0
3 years ago
What is the range of the following relation?<br><br> {(-1, 1), (-2, 2), (-3, 3), (-4, 4), (-5, 5)}
jeka94
As the graph approach negative infinity the graph move to positive infinity as the graph approach positive infinity the graph move to negative infinity
4 0
3 years ago
Factor.<br><br> 9x2−25y2<br><br> Enter your answer in the boxes.<br> (<br> )(
Anettt [7]

Answer:

( 3x + 5y) • (3x - 5y)

Step-by-step explanation:

hope this helps:))

3 0
3 years ago
How do I find the median​
Aleonysh [2.5K]

Answer:

ORDER THEM FROM LEAST TO GREATEST THEN CROSS OFF A NUMBER FROM EACH SIDE TILL YOU  ARE LEFT WITH ONE IN THE MIDDLE

ANSWER IS 17

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Given f(x)=7(9−x)−4, what is the value of f(−1) ?<br><br> Enter the answer in the box.
    7·2 answers
  • Entrance to a state park costs $6 per vehicle plus $2 per per person in the vehicle how much would it cost for a car with 2 peop
    15·1 answer
  • Five friends went out to dinner, and the bill came to $85. They wanted to leave a 17% tip because they thought the waiter did a
    14·1 answer
  • 8(3x+3)+3x<br> i don't know this answer
    8·1 answer
  • An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva
    10·2 answers
  • A textbook store sold a combined total of 470 biology and history textbooks in a week. The number of history textbooks sold was
    7·1 answer
  • Four friends are on a basketball team. During a game, each friend kept track of how many shots they attempted and how many of th
    6·2 answers
  • Helpppppppppppppp please
    12·2 answers
  • Explain how to use the Zero-Product Property to find the solution of the equation 3x(x – 6) = 0.
    12·1 answer
  • 2 - 14. What is the equation of the line perpendicular to y - 4 = (x - 6) and passes through the point - (-3,2)? 5 5 - 2 5 = O -
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!