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
kvv77 [185]
1 year ago
5

Select the correct answer from each drop-down menu. Right triangle ABC is represented with the right angle at vertex B. Base BC

measures 10 inches and angle C measures 40 degrees. In the figure, AB = inches and AC = inches.
Mathematics
1 answer:
Svetradugi [14.3K]1 year ago
6 0

By using trigonometric relations, we will see that:

AC = 15.6 in

AB = 8.4 in.

<h3>How to get the measures of the other two sides of the right triangle?</h3>

Here we have the right triangle where:

B = 90°

C = 40°

BC = 10 in.

Notice that is the adjacent cathetus to the angle C, then we can use the two relations:

  • sin(a) = (adjacent cathetus)/(hypotenuse).
  • tan(a) = (opposite cathetus)/(adjacent cathetus).

Where:

  • hypotenuse = AC
  • opposite cathetus = AB.

Then we will have:

sin(40°) = 10in/AC.

AC = 10in/sin(40°) = 15.6 in

tan(40°) = AB/10in

tan(40°)*10in = AB = 8.4 in.

So we can conclude that for the given right triangle we have:

AC = 15.6 in

AB = 8.4 in.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

You might be interested in
Halp meer............​
klio [65]

Answer:

D

Step-by-step explanation:

Well, 1/3 is in between 0 and 1. Only D is in between 0 and 1.

5 0
2 years ago
12 7/12 subtracted by 5 14/5
Leni [432]
12⁷/₁₂ - 5¹⁴/₅
12⁷/₁₂ - 7⁴/₅
12³⁵/₆₀ - 7⁴⁸/₆₀
11⁹⁵/₆₀ - 7⁴⁸/₆₀
4⁴⁷/₆₀
4 0
3 years ago
Original price of a printer: $250.00<br> Tax: 10%, Selling Price?
umka21 [38]

Answer:

selling price would be $275.

5 0
3 years ago
Read 2 more answers
A pastry shop earned $9,026 over the course of 5 days. How much did they earn on just 1 day? Note: do not write a dollar sign
o-na [289]

Answer:

9207

Step-by-step explanation:

because if you multiply

3 0
3 years ago
What is something you learned about in math this week need it for survey
mrs_skeptik [129]

Answer:

we learned very valuble info

Step-by-step explanation:

yes

5 0
2 years ago
Other questions:
  • A set of dessert glasses are in the shape of a cone. If each glass is 9 cm across and 12 cm tall, what is the volume of each gla
    15·1 answer
  • One difference between synthetic division of polynomials and long division of polynomials is the fact that in synthetic division
    6·1 answer
  • The length of a rectangle is 3 m longer than its width.
    12·1 answer
  • a city council is planning to put a cement walkway around an existing swimming pool. the rectangular pool is 3 times as long as
    8·2 answers
  • Pat borrowed $2000 to help pay college expenses. The interest rate was 5% annually, and she will repay the loan in 4 years. How
    8·2 answers
  • Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.
    13·1 answer
  • Write as a product: −y^3+xy^2−4x+4y
    15·1 answer
  • What is the domain of the graph
    13·2 answers
  • VW has a slope of 5. What is the slope of a line parallel to VW?
    9·2 answers
  • Determine if the triangles below are similar. If they are, give the rule that you used to determine similarity.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!