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
nydimaria [60]
3 years ago
11

The exact value of cos5pi/12 is:​

Mathematics
1 answer:
jonny [76]3 years ago
4 0

Step 1: Convert \frac{5\pi }{12}, which is in radians into degrees. To convert it multiply by \frac{180}{\pi }

\frac{5\pi }{12} =\frac{180}{\pi }

900/12

75

Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value

cos45 = \frac{\sqrt{2} }{2}

cos30 =\frac{\sqrt{3} }{2}

Step 3: Add the cos45 and cos30 to get cos5pi/12

\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}

Hope this helped!

You might be interested in
members of a soccer team raised $741.15 to go to a tournament. They rented a bus for $250 and budgeted $25.85 per player for mea
blsea [12.9K]

9514 1404 393

Answer:

  19 players

Step-by-step explanation:

The total being spent is ...

  bus cost + (per player cost) × (number of players) = total raised

  250 + 25.85p = 741.15

  25.85p = 491.15

  p = 491.15/25.85 = 19

The team could bring 19 players to the tournament.

6 0
2 years ago
PLEASE ANSWER i WILL PUT MOST BRAINLIEST!
galina1969 [7]

Answer:

The correct option is;

c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.

Step-by-step explanation:

Here we have the values

μ = 275 mL

275.4

276.8

273.9

275

275.8

275.9

276.1

Sum = 1928.9

Mean (Average), = 275.5571429

Standard deviation, s = 0.921696159

We put the null hypothesis as H₀: μ₁ = μ₂

Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂

The t-test formula is as follows;

t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}

Plugging in the values, we have,

Test statistic = 1.599292

t_{\alpha /2} at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912

Our p-value from the the test statistic = 0.1608723≈ 0.1609

Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.

4 0
3 years ago
The Excel file Store and Regional Sales Database provides sales data for computers and peripherals showing the store identificat
zhannawk [14.2K]

Answer:

Total sales revenue use  excel function : ( SUMIF. =sumif(range, criteria, [sum_range] )

For each of the stores: Use excel function: For Store 1: =sumif(B4:B99,1,I4:I99) then repeat same for Store 2 to store 8

Step-by-step explanation:

To modify the spreadsheet to calculate the total sales revenue we will add a column " sales revenue "

multiply values of column : ( unit sold * unit price )  to get Total sales revenue. then use  excel function : ( SUMIF. =sumif(range, criteria, [sum_range] ) to find Total sales revenue

calculate the total revenue for each of the 8 stores using a pivot table using  "store identification number" in row  and " sales revenue " in values field

To get the sales revenue ; replace " store identification value" with sales region " column

8 0
3 years ago
Ac is tangent to circle o at point c what is the length of ac?
MissTica

Answer:

The Answer is 12

Step-by-step explanation:

Use Pythagorean theorem. AB=8 and BO=5 We still need to find AO

AO=AB+BO

8+5

AO=13

Now solve for AC

AC^2 + OC^2= AO^2

AC^2+5^2=13^2

AC^2+ 25=169

AC^2=144

AC= 12

5 0
3 years ago
The graph shown can be used to solve which of these systems of equations?
mrs_skeptik [129]

Answer: It is B

Step-by-step explanation:

Just took the test

7 0
3 years ago
Other questions:
  • How do we do improper faction
    8·1 answer
  • A rectangle is 13 meters longer than it is wide. the perimeter is 98 meters. what is the width?
    12·1 answer
  • Family on a trip. SUV costs $.32 per mile to drive and Sedan has $.22 per mile to drive. The family traveled a total of 660 mile
    6·1 answer
  • Is 8.47 greater than or less than 8.63
    5·2 answers
  • The lunch at Dion's Place has choice of ham, turkey, or roast beef on rye or white bread white juice, milk, or tea.
    6·1 answer
  • 7th GRADE MATH hellp​
    11·2 answers
  • Eight less than double a number is ten. What is the number?
    9·1 answer
  • WORTH 50 POINTS<br><br> Simplify -5a-6ab+10ab+2a please give explanation.
    6·2 answers
  • Could someone help me with number 19. PLEASE! thanks. :)
    13·2 answers
  • What is the answer of 2 x ____ = -7.7
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!