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
nikdorinn [45]
3 years ago
14

If sin θ = 1 over 4 and tan θ > 0, what is the value of cos θ? (1 point)

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer:

There are two options: b) \frac{\sqrt{15}}{4}, c) \sqrt{15}.

Step-by-step explanation:

By Trigonometry, we know that function tangent is equal to the following identity in terms of functions sine and cosine:

\tan \theta = \frac{\sin \theta}{\cos \theta} (1)

If we know that \tan \theta > 0 and \sin \theta = \frac{1}{4}, then \cos \theta > 0. Hence, we have two possibilities: b) \frac{\sqrt{15}}{4}, c) \sqrt{15}.

You might be interested in
Someone help me on this pleaseeeeeeeeeeeeee !
Dmitrij [34]

Answer:

9

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which of the following could be the equation of a line perpendicular to the line 2x−5y=7?
Over [174]

Answer:

B.

Step-by-step explanation:

First convert the equation to slope-intercept form:

2x - 5y = 7

-5y = -2x + 7

y = 2/5 x - 7/5

So the slope of the given line  is 2/5.

So the slope of a perpendicular line will be -1/ 2/5 = -5/2.

Take B:

5x + 2y = 3

2y = -5x + 3

y = -5/2.

So its B.

4 0
2 years ago
Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o
loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is  60 inches .

The problem says that the new design has length 3x inches longer  and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design  which is 36 inches .

Thus new length of rug is  ( 3x + 36  )  inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is   ( x + 60   )   inches .

Area of rectangle is  Length * Width  

Area of new rug is   ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 )  = 3x ( x + 60 ) + 36 ( x + 60 )

                                    =  3x² +  3x * 60  + 36 x  + 36 * 60

                                    =   3x²  + 180 x + 36 x + 2160

    Combining like terms ,  3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 )  = 3x² + 216 x + 2160 .

7 0
2 years ago
Read 2 more answers
place the decimal point in the answer to make correct. explain your reasoning. 3.9853 × 8.033856= ??????
tatiyna
It is 32.0173263 because you add spaces to the decimal point and of course you don't put the zeros in
7 0
3 years ago
What is the slope of the line in the following graph?<br> 1/3<br> 1/2<br> 2<br> 3
ivanzaharov [21]
For every 3 you go across you go up 1 so the gradient is rise/run = 1/3

Therefore gradient is 1/3
5 0
3 years ago
Read 2 more answers
Other questions:
  • This is what we call a ratio with unlike quantities
    6·1 answer
  • C.The Spencer family bought 4 adult tickets and 2 children's tickets. Did they spend the same as the Andrew family? Explain.
    12·1 answer
  • Four less than the product of one and a number x.
    11·1 answer
  • Find the value of x in 2(x+1)=4​
    9·2 answers
  • A newspaper reported the results of a survey on the planning habits of men and women. In response to the question​ "What is your
    12·1 answer
  • At a local store a 16- ounce bottle of apple juice costs $3.20. What is the cost of the apple juice per ounce ?
    5·2 answers
  • 133=7(1+2x) solve<br> Answer ASAP please
    14·2 answers
  • What is the final amount if 2024 is increased by 17% followed by a 15% decrease?
    15·2 answers
  • Convert 62% into a fraction
    11·2 answers
  • What can be concluded from the statement ∠1 + ∠2 = 90°?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!