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
soldi70 [24.7K]
3 years ago
15

What is the value of x to the nearest degree?

Mathematics
2 answers:
Marrrta [24]3 years ago
8 0

Answer:

Step-by-step explanation:

This is right triangle trig.  The side opposite the x is 8, and the side adjacent to the x is 5.  The tangent ratio uses those sides.  We need to find what angle has a tangent of 8/5.  To do this, make sure your calculator is in degree mode.  Then hit "2nd" then tan and you will see tan with a little -1 and a parenthesis.  Enter 8/5 and hit "enter" and you will get an angle measure of 57.9946.  Rounded to the nearest degree this is 58 degrees.  That's your answer!

mel-nik [20]3 years ago
8 0

Answer:

b \displaystyle 58

Step-by-step explanation:

We have to determine which trigonometric ratio to use, depending on what is displayed for us, and we will be using the cotangent [or tangent] ratio, however, since we are solving for an angle measure, we must use the inverse:

\displaystyle cot^{-1}\: \frac{5}{8} ≈ 57,99461679° ≈ 58° \\ \\ OR \\ \\ tan{-1}\: 1\frac{3}{5} ≈ 57,99461679° ≈ 58°

Extended Information on Trigonometric Ratios

\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ

I am joyous to assist you anytime.

You might be interested in
What is expanded form of 605,970
Luba_88 [7]
605,970 is expanded in this form:

(6 x 100,000) + (0 x 10,000) + (5 x 1,000) + (9 x 100) + (7 x 10) + (0 x1)

each number is multiplied to the corresponding place value.
6 is on the one hundred thousand place value
0 is on the ten thousand place value
5 is on the one thousand place value
9 is on the hundreds place value
7 is on the tens place value
0 is on the ones place value

OR

600,000 + 5,000 + 900 + 70 = 605,970
4 0
3 years ago
Read 2 more answers
What is the length of CD? In this diagram, <br> ABC ~ EDC.
Alex777 [14]

Hey there!

Answer:

CD = 3.

Step-by-step explanation:

Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

\frac{12-x}{18} =\frac{x}{6}

Cross multiply:

6(12-x) = 18x

Distribute the '6':

72-6x = 18x

Combine like terms and simplify:

72 = 24x

x = 3

Therefore, the length of CD is 3.

5 0
3 years ago
A rectangular prism has a length of 20 in a width of 2 in and a height of 3 1/4 in the prism is filled with cubes that have edge
Zinaida [17]
You can express the edge lengths in terms of "cubes" or you divide the total volume by the volume of a cube. It works either way.

Edge lengths are
.. 80 cubes by 8 cutes by 13 cubes
so total volume is
.. (80 * 8 * 13) = 8320 cubes


In cubic inches, the volume is
.. (20 in)*(2 in)*(3 1/4 in) = 130 in^3.
The volume of a 1/4-in cube is (1/4 in)^3 = 1/64 in^3.
Then the number of cubes that will fit in the prism is
.. (130 in^3)/(1/64 in^3) = 8320 . . . . cubes

8320 cubes are needed to fill the rectangular prism.
7 0
3 years ago
Jerry’s loan had a principal of $22,000. He made quarterly payments of $640 for nine years until the loan was paid in full. How
Leto [7]

Answer: $1040

A = P + I

A = Total

P = Principal

I = Interest

First find the total amount

A = 640(4)(9)

A = 23040

Plug In the Numbers

23040 = 22000 + I

Substract 22000 on both sides

I = $1040

8 0
2 years ago
What is the value of x and find the indicated angle of JM
Serggg [28]

Answer:

10x = 6x+36

10x-6x=36

4x= 36

X=36/4

X=9

Angle JM = 90°

5 0
3 years ago
Other questions:
  • Please help! 25 pts and Brainliest to an answer that shows steps and answers all parts of question.
    10·1 answer
  • The top of a manhole cover is shaped like a circle. The area of the manhole cover is 380 square inches. What is the circumferenc
    14·1 answer
  • Joy is preparing 20 liters of a 25% saline solution. She has only a 40% solution and a 10% solution in her lab. How many liters
    9·2 answers
  • Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x -
    13·1 answer
  • Please help!! I'm really confused:(
    10·1 answer
  • A car is parked 80 feet from the base of a 120-foot building. What is the angle of depression from the top of the building to th
    13·1 answer
  • Help me out its number 2 thanks
    8·2 answers
  • Please urgently need help
    15·1 answer
  • Back to school is coming and laura is
    11·1 answer
  • Type SSS, SAS, ASA, SAA, or HL to
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!