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
Arlecino [84]
3 years ago
5

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

Mathematics
1 answer:
taurus [48]3 years ago
3 0

Answer:

A\approx 28^{\circ}

Step-by-step explanation:

Please find the attachment.  

We have been given that area of triangle ABC is 3√2 square inches.

\text{Area}=\frac{1}{2}\text{Base}\times \text{height}

We know that area of triangle an be found using trigonometry as:

\text{Area}=\frac{1}{2}\times c\times h

\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)

3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)

3\sqrt{2}=9\cdot \text{sin}(A)

9\cdot \text{sin}(A)=3\sqrt{2}

\text{sin}(A)=\frac{3\sqrt{2}}{9}

\text{sin}(A)=\frac{\sqrt{2}}{3}

Now, we will use inverse sine to find the value of angle A as:

A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})

A=28.1255057^{\circ}

A\approx 28^{\circ}

Therefore, the measure of angle A is approximately 28 degrees.

You might be interested in
Pairs of angles nonadjacent formed when a transversal intersects two lines so that they lie on the same side of the transversal
Solnce55 [7]

Answer:

Corresponding Angles

Step-by-step explanation:

Corresponding Angles

3 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 30 m ^3 ( 30 m cubed).
Andrei [34K]

Answer:

B is the right answer

Step-by-step explanation:

The difference between the volume of a sphere and a cylinder is 2/3

take 30 x 2 = 60

60/3 = 20

The Volume of the Sphere is 20 m ^3

Hope this helps.

8 0
3 years ago
Read 2 more answers
PLEASE I NEED HELP NOW I WILL GIVE BRAINLIEST
My name is Ann [436]
Answer is 
<span>A. 3 pages are edited every 5 min</span>
6 0
3 years ago
Which is the correct first step in finding the height of a cylinder with a volume of 178 cubic inches and a radius of 8 inches?
Strike441 [17]

Answer:

C

Step-by-step explanation:

Ccc

3 0
3 years ago
Do any of you guys know this please i need helppp!!
Fudgin [204]
The third one
5/6 is the answer
7 0
2 years ago
Read 2 more answers
Other questions:
  • Mai's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Mai $5.80 per pound, and type B co
    10·1 answer
  • How do I turn 500 into a decimal
    5·2 answers
  • A ladder 17 feet long is leaning against a wall. The bottom of the ladder is 8 feet from the base of the wall. How far up the wa
    12·1 answer
  • (PLEASE HELP ) A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate,
    7·1 answer
  • M over 4 = -13 what does m =?....?
    7·2 answers
  • Please refer to the picture!!
    7·1 answer
  • X+2y=5
    13·1 answer
  • Claire's music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother's songs is 3
    11·1 answer
  • Pablo purchased adult and youth tickets for the football game. He bought x adult tickets for $74 each and y youth tickets for $3
    12·2 answers
  • 100 Points! Which shorts should I get?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!