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
GarryVolchara [31]
3 years ago
14

In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?

Mathematics
1 answer:
pogonyaev3 years ago
5 0

Answer:

x=15^\circ

Step-by-step explanation:

In a right triangle:

\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)

Therefore, given:

Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ

You might be interested in
PLEASE HELP ME I NEED HELP!!!!! ITS URGENT PLS HELP
Fudgin [204]

Answer:

it is blurry take it again plz

Step-by-step explanation:

7 0
3 years ago
What is the ratio Between 113 and165
Harlamova29_29 [7]
A ratio between is like 52
5 0
3 years ago
find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)​
aivan3 [116]

Answer:

Therefore,

x = 9

Step-by-step explanation:

Given:

Let,  

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units  (distance between points L and M)

To Find:    

x = ?

Solution:  

Distance formula between Two points is given as

l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}

Substituting the values we get

15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}

Square Rooting we get

(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21

As  point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

x = 9

Therefore,

x = 9

3 0
3 years ago
Which expression has twice the value of 2 times 2 times 2 times 2 times 2?
Brilliant_brown [7]

Answer:

2 To the 6'th power.

Step-by-step explanation:

2x2x2x2x2=32

twice the value of 32 is 64

2x2x2x2x2x2=64

so your answer would be 2 to the sixth power

hope this helps! :)

3 0
3 years ago
Read 2 more answers
a carpenter cut four lengths of wood. the lengths were 36 3/4 in., 36 3/8 in., 37 1/2., and z in. if the mean of lengths is 36 5
lisov135 [29]
36 3/4 = 36.75
36 3/8 = 36.375
37 1/2 = 37.5
36 5/8 = 36.625

(36.75 + 36.375 + 37.5 + z) / 4 = 36.625
(110.625 + z) / 4 = 36.625
110.625 + z = 36.625 * 4
110.625 + z = 146.5
z = 146.5 - 110.625
z = 35.875 or 35 7/8 <===
6 0
3 years ago
Other questions:
  • Heather is saving for retirement and has been doing a lot of research on how much she should put aside each month. The newest ar
    12·2 answers
  • A company buys printer paper in a box which contains 8 packages. If each package of paper costs 3 dollar, how much does a box of
    11·2 answers
  • Help~~~~~~~~~~~~~~~~~~~~~~~~~
    15·2 answers
  • Please help me with the question. Will mark brainliest.
    12·1 answer
  • 0.4/100 simplified if it can be
    15·2 answers
  • 1. identify the coeffieceint: 6x + 19
    5·2 answers
  • A. 140°<br><br> B. 300°<br><br> C. 220°<br><br> D. 180°<br><br> E. 320°
    13·1 answer
  • 6x + 8y<br>8y = -31<br>14x - 5y = 46​
    15·1 answer
  • Right triangles and trigonometry 21 pointe
    8·1 answer
  • Another i-ready question! Sorry i am clueless and need a 100% Please help!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!