answer.
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
Svetllana [295]
2 years ago
15

Use complete sentences to explain the relationship between tan 5pi/4 and tan pi/4. In your answer, reference specific values on

the unit circle to prove the relationship between the angles.
Mathematics
1 answer:
Kisachek [45]2 years ago
8 0
Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.

5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant. 

So you are talking about one two angles that are in the first and third quadrants.

Step One
Find the Tangent of pi/4 using the unit circle as a reference.

Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)

That is the point where the opposite / adjacent = 0.707/0.707 = 1

Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)

 
You might be interested in
Dora likes to explore. Recently, she explored southeast Australia where she found some very large trees known as Eucalyptus regn
Igoryamba

Answer:

C. With a p-value less than 0.0001, there is sufficient evidence to reject the null hypothesis and accept the alternative as true.

Step-by-step explanation:

She performed an hypothesis test with the sample of size n=15 that she takes. The t-statistic has a value of 6.661.

The degrees of freedom for this sample size are:

df=n-1=15-1=14

The P-value for a statistic t=6.661 and 14 degrees of freedom is:

\text{P-value}=P(t>6.661)=0.00001

With these P-value we know that the effect is significant and the null hypothesis is rejected. There is enough evidence to support the claim that the mean height of Mountain Ash trees is greater than the coastal Douglas Firs.

5 0
2 years ago
Side AB of square ABCD is parallel to the Y axis and the perimeter of ABCD is 36. If the coordinates of point B is (5,17) . What
Zarrin [17]
<h3>Answer: (C) (14,8)</h3>

============================================

Explanation:

The perimeter of the square is 36, so each side length is 36/4 = 9 units.

Point B is located at (5,17). We move down 9 units to get to (5,8), which is the location of point A. Then we move 9 units to the right to arrive at (14,8) which is point D's location.

Or we could go from B = (5,17) to C = (14,17) and then to D = (14,8). Each time we move 9 units.

8 0
2 years ago
Find the values if x and y
SOVA2 [1]

Note that: (10x - 61) & (x + 10) are supplementary angles, and (10x-61) & (18y + 5) are vertical angles

10x - 61 + x + 10 = 180

Simplify

11x - 51 = 180

Isolate the x

11x - 51 (+51) = 180 (+51)

11x = 231

Divide 11 from both sides

11x/11 = 231/11

Divide

x = 21

180 = 18y + 5 + x + 10

180 = 18y + 5 + (21) + 10

Simplify

180 = 18y + 36

Subtract 36 from both sides

180 (-36) = 18y + 36 (-36)

144 = 18y

Divide 18 from both sides

144/18 = 18y/18

y = 144/18

y = 8

x = 21, y = 8 are your answers

hope this helps


5 0
2 years ago
Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five l
Alenkasestr [34]
Draw the picture and label the 
  width = w 
 The length of the monitor is six times the quantity of five less than half its width:
 length = 6(w/2-5)
 length = 3w-30
 Area = (length)*(width)
 384=(3w-30)*(w)
 384=3w^2-30w
 Answer:
 the dimensions of the monitor in terms of its width is: 
 384=3w^2-30w
7 0
2 years ago
One option in a roulette game is to bet $2 on red. ​ (There are 18 red​ compartments, 18 black​ compartments, and two compartmen
aleksandrvk [35]
It cost $46.000 for the red.

4 0
2 years ago
Other questions:
  • How does number sense of fractions help when estimating sums and differences
    9·1 answer
  • Which of the following circles have their centers in the second quadrant? Check all that apply.
    10·1 answer
  • Nina made two investments: Investment \text{A}A has a value of \$50$50 at the end of the first year and increases by 8\%8% per y
    13·3 answers
  • Explain the steps necessary to convert a quadratic function in standard form to vertex form
    9·2 answers
  • Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. The fat
    9·1 answer
  • If 4x/2y=4 then what is the value of 3y/x
    13·1 answer
  • Carmen's puppy weighs 9 pounds. Her kitten weighs 74 ounces.
    13·1 answer
  • An initial investment of $3000 compounded annually at a rate of 12% after 20 years.
    13·1 answer
  • Members of a baseball team raised $1141.75 to go to a tournament. They rented a bus for $880.50 and budgeted $23.75 per player f
    14·1 answer
  • The expression -x^2 + 70x -600 represents a companys profit for selling x items. For which number of items sold is the companys
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!