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
GalinKa [24]
3 years ago
8

The exact value of cos 17pi/8 is . . a) square root of 2+the square root of 2/4 . b.) 0.38. c.) 0.99. d.)square root of 2-the sq

aure root of 2/4
Mathematics
1 answer:
alexgriva [62]3 years ago
7 0
Cos(17pi/8)

cos(17π/8)

But π radians = 180°

17π/8 radians = (17/8) * 180 = 382.5

But this is more than 360°,  so we have the basic angle by subtracting 360°

382.5 - 360 = 22.5

cos(17π/8) = Cos22.5

Recall double angle formula for cos.

cos2θ = 2cos²θ - 1

Therefore

cos(2*22.5) = 2cos²(22.5) - 1

cos45 = 2cos²(22.5) - 1

(√2)/2  =  2cos²(22.5) - 1

2cos²(22.5) - 1 =  (√2)/2


2cos²(22.5)  = (√2)/2 + 1

 2cos²(22.5)  = (2 + √2) / 2

cos²(22.5) = (2 + √2) / 4

cos22.5  =   √( (2 + √2)/4) ................(note)

cos22.5 = √(2 + √2) / 2

Option (a) seems like the closest, comparing to (note) above.
You might be interested in
If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?
slamgirl [31]
It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square,  a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.
6 0
3 years ago
The answer please oh my please
Greeley [361]

96 meters???????????????????

6 0
3 years ago
A rectangle is a parallelogram. What is true of the diagonals of a rectangle
maw [93]

Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths

Step-by-step explanation:

3 0
2 years ago
Three green jelly bean, five red jelly beans and two orange jelly bean are in a bag.
IrinaVladis [17]

Answer:

3/50

Step-by-step explanation:

3 g, 5 r, 2 o

3 + 5 + 2 = 10

Orange = 2 jelly beans

Probability of selecting an orange jelly bean: 2/10 or 1/5

If you put the jelly bean back in, there is still 10 jelly beans.

Green = 3 jelly beans

Probability of selecting a green jelly bean: 3/10

Multiply the probabilities:

1/5 x 3/10

= 3/50

7 0
3 years ago
Read 2 more answers
G=h(t) + p(c) is an equation that represents the gross pay of a server: Gross pay = hourly wage (time worked) + percent tip (cos
rusak2 [61]

Answer:

$105.5  for 16 hours at $6.59 per hour

Step-by-step explanation:

form the equation given, G=h(t) + p(c)

where G=Gross pay,

            h= hourly wage

            t=time worked

             p=percent tip

             c=cost of customer meals

we determine the gross pay by first determining the independent variables

h=$4.25, t=16 hours,

p=15%of c\\p=\frac{15}{100}*250 \\p=37.5

if we substitute values, we arrive at

G=h(t)+p(c)\\G=4.25(16)+37.5\G=68+37.5\\G=105.5

to determine the per hour gross pay we have

105.5/16

hourly gross pay,G=$6.59

3 0
3 years ago
Other questions:
  • Which is the best approximation of 90?<br> A.9.5<br> B.11.4<br> C.7.6<br> D.11.1
    11·2 answers
  • Explain why a graph that fails the vertical-line test does not represent a function
    14·1 answer
  • There are 5 different French books and 5 different Spanish books. How many ways are there to arrange them on a shelf if
    13·1 answer
  • 3x +1=3x+1<br><br> Does it have one solution, no solution or infinitely many solutions??? Please
    9·1 answer
  • 40 pounds of cashews costing $9.20 per pound were mixed with 100 1b of peanuts costing $3.32 per pound. Find the cost of the res
    11·1 answer
  • What is the value of the expression 2[4(2^3+5)]-4^2
    13·1 answer
  • Jane's Ice Cream Shoppe has 33 ice cream flavors, 5 syrups, and 11 toppings. How many different ways can you construct a sundae
    15·1 answer
  • Simplify<br> (x-5)^2<br> If right will get brainleist
    15·2 answers
  • NiCole Spent 15% of her day doing homework. How many hours did she spend on her homework?
    10·1 answer
  • 4(10b-4) <br><br> Explain please
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!