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
Am i correct? will mark brainliest
lana [24]

Answer:

no, its 11 for the first one and 45 for the second

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which of the following is the same as 8.4×10^2
Snezhnost [94]
You need to state the answers :)

4 0
3 years ago
Margie pays $9.43, which includes 15%
andrew-mc [135]

Answer:

15% $1.41 $10.84

10.84

8 0
3 years ago
Use the net below to determine the surface area of the cylinder.
pentagon [3]

The correct answer should be :

Option 3 : 753.6cm^{2}

Hope this helps,

Davinia.

6 0
2 years ago
if serena invested the 2500 in the cd that she yields at 4% interest, what will the cdbe worthafte 2 years?
Naya [18.7K]

Your answer would be <u>2700</u>

Using I=P*r*t

P= 2500

R= 4% (substitue to 0.04)

T= 2 Years

I= 2500* 0.04 * 2

I= 100* 2

I= 200

2500+200=

2700

6 0
3 years ago
Read 2 more answers
Other questions:
  • A full grain silo empties at a constant rate. Write an expression to determine the amount after 5 seconds and make sure to be pr
    7·1 answer
  • Express the following as a decimal place 25%
    12·2 answers
  • PLEASE HELP ASAP I AM TIMED D O NOT GUESS EXPLAIN URE ASNWER
    11·2 answers
  • Shawna says her mug holds 100 milliliters. She’ll says that the mug holds 1 liter. Is Shelly correct?
    11·2 answers
  • Which equation shows how to determine the volume of the dollhouse?
    14·1 answer
  • Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.
    5·2 answers
  • 200-3.5 x 2.8 what is the product?
    7·2 answers
  • Put these least to greatest <br> 65% of 80<br> 82% of 50<br> 170% of 30
    12·1 answer
  • Plssss HELP MEEEEEE<br> i shall give thanks
    13·2 answers
  • Write the equation of the graph below in factored form
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!