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
olga nikolaevna [1]
2 years ago
9

If sin theta =1/4, theta in quadrant II, find the exact value of cos[theta +pi/6]

Mathematics
1 answer:
Mashcka [7]2 years ago
6 0
Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
You might be interested in
The number of girls (G) taking French at Mesa High School is 3 more than twice the number of boys (B). A total of 141 students a
Leya [2.2K]
Answer: B - G-2B=3 B+G=141
7 0
2 years ago
Read 2 more answers
What is the area of the rectangle below ?
Dmitrij [34]

A. 136 sq. units is the answer. This answer was achieved by simply plugging the numbers into the area formula for rectangles. 8 x 17 = 136

5 0
3 years ago
Read 2 more answers
Jake opens a credit card with 18% annual interest compounded monthly. If he charges $800 on the card and never pays it off, how
Makovka662 [10]
<h3>Answer:  $1,143.60</h3>

Work Shown:

A = P*(1+r/n)^(n*t)

A = 800*(1+0.18/12)^(12*2)

A = 1,143.60224954321

A = 1,143.60

Notes:

  • P = 800 is the principal. It is the amount loaned to Jake.
  • r = 0.18 is the decimal form of the 18% interest rate
  • n = 12 because we're compounding monthly, i.e. 12 times a year
  • t = 2 = number of years
  • For more information, check out the compound interest formula.

4 0
2 years ago
Suppose Gabe, an elementary school student, has just finished dinner with his mother, Judy. Eyeing the nearby cookie jar, Gabe a
Paladinen [302]

Answer:

0.56

Step-by-step explanation:

What is the probability that his mother returns just in time to catch Gabe stealing a cookie?

The probability of this is the same as 1 minus the probability that Gabe is NOT caught.

- Judy could return at anytime in the next 90 seconds

- Gabe spends the first 40 seconds pondering... time wasted=40secs

- It takes 30 seconds (out of the remaining 50secs) to finish eating a cookie without a trace

- The question says that Gabe was going to do it, so he probably did

Now we're looking for the probability that he gets caught. That is, probability that he does not "successfully" complete the 30secs task within the remaining 50secs.

Remember that each second has an equal probability of being the second that Judy comes back in. The latter of the 90 seconds does not carry a higher probability!

So the probability of catching Gabe (despite the 30secs it takes to complete his task) is 50/90 which is equal to 0.56

6 0
3 years ago
This softener’s price was reduced from 17.95 to 12.95. Calculate the percentage discount.
Rashid [163]

Answer:

38.6%

Step-by-step explanation:

Given data

Initial price = $17.95

New price = $12.95

price reduction = 17.95-12.95= $5

We can use the price reduction to calculate the percentage discount

Hence

Percentage discount =

( price reduction / initial price) *100

(5/12.95)*100

= 0.03861*100= 38.6

Percentage discount= 38.6%

8 0
3 years ago
Other questions:
  • A rectangle is 36 inches x 48 inches.<br> Pin.<br> What is its perimeter?<br> What is its area?
    7·2 answers
  • Find three consecutive integers whose sum is six times the greater integer
    11·1 answer
  • Help!!:(<br> I need the answer rn
    10·1 answer
  • 65%of 186 = show how you did it so i can learn how to do it please
    12·2 answers
  • Is it A , B , C , Or D ?
    8·1 answer
  • If the perimeter is 102, how long is the longest side?
    6·1 answer
  • A cylinder has a base diameter of 16 feet and a height of 19 feet. What is its volume in cubic feet, to the nearest tenths place
    13·1 answer
  • What is: 2763 x 6789=__?
    7·1 answer
  • Help math pls its a drag and drop
    10·2 answers
  • URGENT ANSWER LLEASE DUE IN 3 MINUTES!!!!!!!!!!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!