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
Hoochie [10]
3 years ago
7

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

Mathematics
1 answer:
baherus [9]3 years ago
5 0

Answer:

The approximate difference between m∠C and m∠A is 45° to the nearest degree

Step-by-step explanation:

* Lets talk about the right triangle

- It has one right angle and two acute angles

- The side opposite the the right angle is called hypotenuse

- The other sides are called the legs of the right angle

- In ΔABC

∵ AC is the hypotenuse

∴ ∠B is the right angle

∴ AB and BC are the legs of the right angle

∴ Angles A and C are the acute angles

∵ m∠B = 90°

- The sum of the measures of the interior angles of a Δ is 180°

∴ m∠A + m∠C = 180° - 90° = 90°

- We will use trigonometry to find the measures of angles A and C

- sin A is the ratio between the opposite side to angle ∠A and the

  hypotenuse

∵ BC is the opposite side of angle A

∴ sin A = BC/AC

∵ BC = 5 cm

∵ AC = 13 cm

∴ sin A = 5/13

- Lets find m∠∠A by using sin ^-1

∴ m∠A = sin^{-1}\frac{5}{13}=22.62

- Lets use the rule of the sum of angles A and C to find the measure

 of the angle C

∵ m∠A + m∠C = 90°

∴ 22.62° + m∠C = 90 ⇒ subtract 22.62 from both sides

∴ m∠C = 67.38°

- Lets find the difference between m∠C and m∠A

∴ The approximate difference between m∠C and m∠A is:

  67.38° - 22.62° = 44.78° ≅ 45° to the nearest degree

You might be interested in
HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Vladimir79 [104]

Answer:

Step-by-step explanation:

A and E are congruent T and P are congruent the other one is T and S and the other A and B

7 0
2 years ago
Find a simple fraction equal to 0.810 repeating
Bond [772]

Answer:

801/1000

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A certain disease has an incidence rate of 0.7%. If the false negative rate is 5% and the false positive rate is
Alex_Xolod [135]
I think it will be 3.7%hope it’ works
8 0
2 years ago
Given a cylinder with a radius of 6 cm and a height of 12 cm, find the volume of the cylinder. Use 3.14 for \pi
sergey [27]

Answer:

volume = \pi {r}^{2} h \\  = 3.14 \times  {6}^{2}  \times 12 \\  = 1356.48 \:  {cm}^{3}

5 0
3 years ago
Prove that 3^17−3^15+3^13 is divisible by 73.
Debora [2.8K]

Answer:

3^13*73

Step-by-step explanation:

3^17-3^15+3^13 So you factor out 3^13

=3^13(3^4-3^2+1)

3^4-3^2+1=73

3^13*73

Is this RSM?

5 0
3 years ago
Other questions:
  • Select the correct text in the passage.
    5·1 answer
  • The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard devia
    7·2 answers
  • Find the area of each sector. *
    14·1 answer
  • Can someone please answer this?
    8·1 answer
  • A shark weighs 405 kg and 68 grams a second shark weighs 324 kg and 75 g how much more does the first shark weigh in grams than
    11·1 answer
  • A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. Which complex fraction represents the unit rate in miles per hou
    11·2 answers
  • A toy company currently produces 950 toys per day. The company plans to increase the number of toys produced per day by 55 each
    14·1 answer
  • A gardener is planting two types of trees:
    12·1 answer
  • Find the perimeter and area, to the nearest
    12·1 answer
  • Belinda babysits her neighborhood's children in the evening every 14 days. Belinda goes to vist her grandmother in the afternoon
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!