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
garik1379 [7]
2 years ago
8

PLEASE WILL GIVE 50 POINTS PLEASE ANSWER ​

Mathematics
1 answer:
leva [86]2 years ago
4 0

Answer:

AB = 75

BC = 60

AC = 45

m∠A = 53°

m∠B = 37°

m∠C = 90°

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

\sf \tan(A)=\dfrac{60}{45}

Therefore:

  • side opposite angle A = BC = 60
  • side adjacent angle A = AC = 45

To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AC² + BC² = AB²

⇒ 45² + 60² = AB²

⇒ AB² = 5625

⇒ AB = √5625

⇒ AB = 75

To find m∠A:

\implies\sf \tan(A)=\dfrac{60}{45}

\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)

\implies\sf A=53^{\circ}\:(nearest\:degree)

m∠C = 90° (as it is a right angle)

The interior angles of a triangle sum to 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 53° + m∠B + 90° = 180°

⇒ m∠B = 180° - 53° - 90°

⇒ m∠B = 37°

You might be interested in
What is diversification?
egoroff_w [7]

B is actually the correct answer i just took the test and got it right

4 0
3 years ago
Find the missing side. Round your<br> answer to the nearest tenth.<br> 68 degrees <br> x<br> 28 in
EastWind [94]
1904° i think i’m pretty sure
3 0
3 years ago
My son is seven times older than my grandson and I am 12 times older than my grandson. If you add all our ages together, the sum
Andrej [43]
To solve this problem you first need to establish what it is you are looking for.. if you knew the grandson age then you could find your son and you.  So that is what we need to find and since we don't know it, we will call it x.

Grandson = x
Son = 7x
You = 12x

Then it says the sum of the 3 is 100.... x + 7x + 12x = 100 then solve and find that x = 5.  So to determine your age, just put 5 in for x and you get 60... dang your old ha
7 0
3 years ago
7 + -6 = what is the answer​
oee [108]

Answer:

answer is 1

I hope it's helps you

7 0
3 years ago
Read 2 more answers
The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and w
kotegsom [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

- Solve for Area of the base (height x length)

Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

-Result

Area of the base = 54 m²

2.- Find the prime factors of 54

                    54   2

                    27   3

                      9   3

                      3   3

                       1

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

              Length                        Width

              2 x 3 = 6           and    3 x 3 = 9

or            2 x 3 x 3 = 18   and    3 x 1 = 3

or            3 x 3 x 3 = 27  and     2 x 1 = 2

6 0
3 years ago
Other questions:
  • What does Y=-x^2-3x+6 equal
    15·1 answer
  • Please help me with my homework.
    9·1 answer
  • You collect 30 pieces of Halloween candy and you give x pieces to
    7·1 answer
  • Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly? What p
    6·1 answer
  • Plz help. A tram moved upward 3 meters per second for 24 seconds. What was the total change in the tram's elevation?
    8·1 answer
  • Can someone help me Simplify -4(-2+9)
    8·2 answers
  • Write each decimal in words. 4. 0.8 5. 400.29 6. 0.0306
    15·1 answer
  • Rewrite each fraction with a denominator of 20.
    7·1 answer
  • What’s the area of the triangle?
    14·2 answers
  • 7x - 3= -3 + 7x<br><br> Can someone explain
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!