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
vitfil [10]
3 years ago
13

Using the provided measures determine the measure of angle K.

Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

\frac{sin(K)}{GF} = \frac{sin(G)}{KF}

Substitute

\frac{sin(K)}{3.18} = \frac{sin(64)}{5}

Multiply both sides by 3.18

sin(K) = \frac{sin(64)}{5}*3.18

sin(K) = 0.5716

K = sin^{-1}(0.5716)

K = 34.8618741° ≈ 34.90°

You might be interested in
I’m confused on how to do this can u help me
nlexa [21]

Answer:

i think the first one

Step-by-step explanation:

so to do this, you first have to look at what the x means and what the y means

the x means the time

the y means the speed

now we check the graph, from the points (1, 112) and (7, 16) does x decrease? yes it does

so we can cross out all the "increase x "choices, you could choose the answer now, but lets undertstand

when x decreases y also decreases. you can know because when x is 1 y is 112 but when x is 2, y is 96

6 0
2 years ago
Determine the value of x in the given figure help
bearhunter [10]

Answer:

x = 25

Step-by-step explanation:

The angles in a triangle must add up to 180 degrees, so:

180 - (53 + 27) = 100

100 ÷ 4 = 25

8 0
3 years ago
I need help on this question it says Find the quotient 60÷5
adoni [48]
60 divided by 5 would equal for your answer to be 12
8 0
3 years ago
Read 2 more answers
HELP???? PLEASE AND FAST IM ON THE BRINK OF DEATH --
aleksandrvk [35]

Answer:

See below.

Step-by-step explanation:

Create a system of equations to represent this scenario.

  • Lin: 12 - 1/3x = y
  • Diego: 20 - 2/3x = y  

1) A graph of these equations is attached below. Lin is in red; Diego is in blue.

2) The time (seconds) is on the x-axis, while the milkshake (oz) is on the y-axis. The graph shows the rate of change that the volume of the milkshake is decreasing for both Lin and Diego. The intersection point tells us at what time t (s) Lin and Diego have the same amount of milkshake left.

There is only one solution to this system of equations: (24, 4). This tells us that at t = 24 s, Lin and Diego both have 4 oz of milkshake left.

The zeros, aka where the graph touches the x-axis, tell us at what time Lin and Diego finish their milkshakes.

Lin finishes her milkshake later than Diego, at t = 36 s (36, 0), while Diego finishes his milkshake at t = 30 s (30, 0).

3 0
3 years ago
Determine the solution, if it exists, for each system of linear equations. Verify your solution on the coordinate plane.
melisa1 [442]

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

Adding the two equations gives ...

  2y = 2

  y = 1 . . . . . divide by 2

Subtracting the second equation from the first gives ...

  0 = 6x -12

  0 = x -2 . . . . divide by 6

  2 = x

The solution is (x, y) = (2, 1).

__

The attached graph verifies this solution.

4 0
2 years ago
Other questions:
  • A quadrilateral has interior angle measures of 65°, 75°, and 121°. What is the measure of the fourth interior angle in the quadr
    12·2 answers
  • The temperature was -3°F<br> ast night. It is now -14°F.<br> What was the change in<br> emperature?
    8·2 answers
  • What additional information is needed to prove the triangles are congruent by HL?
    12·1 answer
  • Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-­‐up fee of $250, and it charges
    13·1 answer
  • Pls help me with this problem
    6·2 answers
  • Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit wa
    13·2 answers
  • Which rule explains why these triangles are congruent?
    8·2 answers
  • What is 2 pounds divided by 2/3?
    10·1 answer
  • A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The
    13·1 answer
  • A delivery company charges an extra fee for a package that weighs more than 100 pounds. Write an inequality that shows the weigh
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!