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
g100num [7]
2 years ago
6

How do you answer this?

Mathematics
1 answer:
gulaghasi [49]2 years ago
5 0

Answer:

  75.7°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

<h3>cosine</h3>

The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...

  cos(?) = 16/65

The inverse function is used to find the angle value:

  ? = arccos(16/65) ≈ 75.7°

__

<h3>tangent</h3>

The side opposite the angle of interest is 63. Then you have ...

  tan(?) = 63/16

The inverse function is used to find the angle value:

  ? = arctan(63/16) ≈ 75.7°

_____

<em>Additional comments</em>

When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.

We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.

You might be interested in
Jean's bedroom is 11 feet by 14 feet. She has chosen a carpet which costs $33.30 per square yard. This includes installation.
Allisa [31]

Answer:

The room will cost $569.80 to carpet.

Step-by-step explanation:

Recall that 1 square yard = 9 square feet.

The area of the bedroom, in square feet, is (11 ft)(14 ft) = 154 ft^2.

Converting this to square yards:

154 ft^2      1 yd^2

------------ * ------------ = 17.1 yd^2

       1          9 ft^2

17.1 yd^2     $33.30

------------- * ------------- = $569.80

       1            1 yd^2

The room will cost $569.80 to carpet.

5 0
3 years ago
Identify the LCM for 6 and 18.<br> 36<br> 108<br> 18<br> 6
oee [108]

Answer: 18

Step-by-step explanation:

8 0
3 years ago
Find the distance between the points c ( 6, 5) and D(-3, 1),
svet-max [94.6K]

Answer:

see explanation

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (6, 5) and (x₂, y₂ ) = (- 3, 1)

d = \sqrt{(-3-6)^2+(1-5)^2}

  = \sqrt{(-9)^2+(-4)^2}

  = \sqrt{81+16}

  = \sqrt{97} ≈ 9.85 ( to 2 dec. places )

4 0
3 years ago
Solve the equation and enter the value of x below<br> -9x-3 = 60
mina [271]

Answer:

-7

Step-by-step explanation:

-9x-3=60

add 3 to each side to cancel -3

-9x-3+3=60+3

simplify

-9x=63

divide by -9 to cancel the -9

-9x/-9=63/-9

simplify

x=-7

4 0
2 years ago
What is the value of x?
sladkih [1.3K]
If the angles are 90,45,45 so the sides except hypotenuse are congruent
and the hypotenuse is equal to :
{6 \sqrt{2} }^{2}  +  {6 \sqrt{2} }^{2}  =  {x}^{2}  \\  {8.5}^{2}   +  {8.5}^{2}  =  {x}^{2}  \\ 72.25 + 72.25 =  {x}^{2}  \\
{x}^{2}  = 144.5 \\ x = 12

the answer is 12

hope this helps
6 0
4 years ago
Other questions:
  • Marissa is watching a honeybee return from her flower garden to a beehive of a branch nearby tree. She notices that the bee's pa
    8·1 answer
  • What is the distinct factor pairs of 32
    14·1 answer
  • Can someone help me in question 51 please
    5·1 answer
  • Help me with Rational and Irrational!
    6·1 answer
  • Ali can serve 6 customers every 15 minutes, while Alyssa can serve 5 customers in 12 minutes.Who can serve more customers in one
    11·1 answer
  • Ken jumps 1 1/5 metres and Steve jumps 1.5 metres. How much more does Steve jump?
    14·2 answers
  • The square of a number xx is 33. The number xx is between what two consecutive whole numbers?
    8·1 answer
  • Solve the equation for x: x/2 - 24 = 50
    10·1 answer
  • For the functions below, calculate the indicated function values.
    15·1 answer
  • Can someone please help me with these problems and show work, if the answer isn’t with work I will remove your comment and you w
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!