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
shusha [124]
3 years ago
13

Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr

iangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. if there is more than one solution, use the button labeled "or"

Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer:

A=73.8\°

B=8.2\°

c=76.3\ units

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)

substitute the given values

c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)

c^{2}=5,823.5738

c=76.3\ units

step 2

Find the measure of angle A

Applying the law of sine

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}

sin(A)=(74)sin(98\°)/76.3

A=arcsin((74)sin(98\°)/76.3)

A=73.8\°

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

73.8\°+B+98\°=180\°

171.8\°+B=180\°

B=180\°-171.8\°=8.2\°

You might be interested in
The value of the digit 8 in this number is 8
Nana76 [90]
And... i don't get it

6 0
3 years ago
A pyramid has a base 16 inches x 16 inches and a slant height of 10 inches. what is the volume in cubic inches
gizmo_the_mogwai [7]

Answer:

  512 in³

Step-by-step explanation:

The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...

  h² +8² = 10²

  h² = 100 -64 . . . . . subtract 8²

  h = 6 . . . . . . . . . . . . take the square root of 36

Then the volume is found using ...

  V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³

The volume is 512 cubic inches.

_____

The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.

4 0
3 years ago
3х + 9y - 8x - 2y +7​
Sonja [21]

Answer:

-5x+7y+7

Step-by-step explanation:

3х + 9y - 8x - 2y +7​ can be written like the equation below to help solve it

3x-8x+9y-2y+7

=-5x+7y+7

7 0
3 years ago
The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic.
REY [17]
Wheres the table at bro post a pic
3 0
2 years ago
Read 2 more answers
The average turkey sold in the US in 2005 played about 28 pounds with standard deviation of three times the average in 1965 was
Viktor [21]
In 2005, 23 is in the second deviation
19 22 25 28 31 33 35
In 1965, 23 is in the third deviation.
12 14 16 18 20 22 24
<span>By the way, 13.5% range from 22 to 25 in 2005, while 2.1% range from 22 to 24 in 1965</span>
4 0
3 years ago
Other questions:
  • The quotient of eight and a number h is written as
    10·2 answers
  • Solve log_8 12 = x – 2 . Round your answer to four decimal places.
    15·2 answers
  • Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp and do the order of operation
    7·1 answer
  • Solve the proportion five point two over eight = y over six A. y = 4.22 B. y = 6.93 C. y = 2.86 D. y = 3.90
    6·1 answer
  • List all the composit numbers between 1-10
    14·1 answer
  • Please help me out with this
    8·2 answers
  • Question: Explain why the researchers used data from ten trails and averaged them, rather than data from a single trail. PLEASE
    14·1 answer
  • I need Help please anyone
    8·1 answer
  • A triangle has an angle that measures 95°. The other two angles are in a ratio of 6:11. What are the measures of those two angle
    6·1 answer
  • I need help, please and thank you
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!