answer.
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
elixir [45]
2 years ago
6

Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 39° and side c = 13.

Mathematics
1 answer:
hram777 [196]2 years ago
5 0

Answer:

Part 1) b=8.2\ units

Part 2) a=10.1\ units

Part 3) A=51\° and C=90\°

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

Find the side b

we know that

In the right triangle ABC

The function sine of angle B is equal to divide the opposite side angle B (AC) by the hypotenuse (AB)

sin(B)=AC/AB

we have

AB=c=13\ units

AC=b

B=39\°

substitute

sin(39\°)=b/13

solve for b

b=(13)sin(39\°)

b=8.2\ units

step 2

Find the side a

we know that

In the right triangle ABC

The function cosine of angle B is equal to divide the adjacent side angle B (BC) by the hypotenuse (AB)

cos(B)=BC/AB

we have

AB=c=13\ units

BC=a

B=39\°

substitute

cos(39\°)=a/13

solve for a

a=(13)cos(39\°)

a=10.1\ units

step 3

Find the measure of angle A

we know that

In the right triangle ABC

C=90\° ----> is a right angle

B=39\°

∠A+∠B=90° ------> by complementary angles

substitute the given value

A+39\°=90\°

A=90\°-39\°

A=51\°

You might be interested in
Dai has 3 meters of fabric that he wants to cut into 5 equal sized pieces. what is true about the length of each piece of fabric
musickatia [10]
3/5=.6
.6=6/10
6/10=3/5
8 0
2 years ago
Read 2 more answers
A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an
bonufazy [111]
The answer would be 10/2=5
6 0
1 year ago
Minute Maid states that a bottle of juice contains 473 mL. Consumer groups are interested in determining if the bottles contain
olga2289 [7]

Answer:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 473 mL

Sample mean, \bar{x} = 472 mL

Sample size, n = 30

Sample standard deviation, σ = 0.2

First, we design the null and the alternate hypothesis

H_{0}: \mu = 473\text{ mL}\\H_A: \mu < 473\text{ mLinches}

Representation of \mu

  • \mu is the population parameter that represents the population mean.

Thus, for the given situation \mu represents:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

6 0
2 years ago
The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?
nikitadnepr [17]

Answer:

72 yrs old.

Step-by-step explanation:

The combined age

D+O=96

The owner is 3 times older than dog

O=3D

D+3D=96

4D = 96

D= 24

Now substitute the value of D in O=3D

O=3.24= 72

The owner is 72 years old.

5 0
2 years ago
Heidi is saving for a new bike. She has already saved $57. If Heidi earns
PtichkaEL [24]

Answer:

8 hours

Step-by-step explanation:

57 + 9h = 129

9h = 72

h = 8

7 0
2 years ago
Read 2 more answers
Other questions:
  • the Speedy fast ski resort has started to keep track of the number of skiers and snowboarders who bought season passes the ratio
    10·1 answer
  • Water has a density of 1.0 g/cm3. What is the mass of 10.0 cm3 of water?
    9·2 answers
  • I have a limited time please help ;-;
    9·2 answers
  • Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 girls and boys in seventh grade. W
    7·2 answers
  • -4 (r + 2) = 4 (2 - 2r)
    8·1 answer
  • In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by
    9·1 answer
  • The Whitt Window Company, a company with only three employees, makes two different kinds of hand-crafted windows: a wood-framed
    14·1 answer
  • A sales completion team, aiming to reduce the shipment time of urgent orders, studies the current process and finds that the cur
    5·1 answer
  • When Andrei surveyed 36 random seventh-grade students in the lunchroom, he found that 7 out of 9 would like to try or have alrea
    6·1 answer
  • Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!