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
lbvjy [14]
3 years ago
6

Solution please! explain clearly​

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

  2

Step-by-step explanation:

For some angle "a", the sine and cosine are related by ...

  sin(a) = cos(π/2 -a)

That is,

  sin(7π/16) = cos(π/16)

  sin(5π/16) = cos(3π/16)

__

Then your sum becomes ...

  sum = sin(π/16)² +sin(3π/16)² +cos(3π/16)² +cos(π/16)²

If we let α = π/16 and β = 3π/16, this can be written as ...

  sum = (sin(α)² +cos(α)²) +(sin(β)² +cos(β)²)

  sum = 1 + 1

  sum = 2

__

The identity sin(α)² +cos(α)² = 1 is sometimes called the Pythagorean identity.

You might be interested in
 PPPPPPPPPPllllllllllllleeeeaaaaassssssssseeeeeee Helpppppppppppppppppp!!!!!! Will Give Brainliest !!!!!!!!!!
77julia77 [94]
The area of section 1 is 12 square feet, the area of section 2 is 40 square feet, and the area of section 3 is 6 square feet.
3 0
3 years ago
Read 2 more answers
20 POINTS! The following graph shows the amount of money Jonah earns when he babysits for the family who lives next door. Based
katrin2010 [14]

Answer:

The equation e = 4 h can be used to describe this situation.

Jonah earns $20 to babysit for 5 hours.

Step-by-step explanation:

When Jonah babysits one hour, he earns $7.50.

looking at the graph we see at 1 hour he earns 4 dollars false

The equation e = 4 h can be used to describe this situation.

The slope is 4   so y = 4x   e = 4h  would also work   true

Jonah earns $20 to babysit for 5 hours.

Using our equation from above

e = 4*5 = 20   true

The number of hours Jonah works depends on how much he earns.

This would be false

The dependent variable is on the y axis.  The amount he earns depends on how much he works

3 0
3 years ago
An object travels along the x-axis so that its position after t seconds is given by x(t) = 2t2 – 5t – 18 for all times t such th
Degger [83]

the function is given, and it's value is where the object is ("how far to the right").

so as long as it rises (going more right), this will be apply.

in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.

for the first 1.25 seconds the object goes to the left, and after that always to the right.

since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.

x(t) = 2t² – 5t – 18

x'(t) = 4t -5

x'(t) = 0

0 = 4t -5

5 = 4t

1.25 = t

plugging it into the second derivative

x''(t) = 4

x''(1.25) = 4

it's positive, so at t=1.25 there is a low point

(of course the second derivative is constant anyways.)

the object is traveling toward the right

the object is traveling toward the rightfor t > 1.25

7 0
3 years ago
Maritza is comparing cell phones plans and notices that verizon offers a plan that is $60 for 10GB of data and $12 for each extr
lukranit [14]

Answer:

60 + 12 * g, with g representing the number of extra gigabytes

Step-by-step explanation:

First, we know that Maritza has to pay $60 for 10GB of data, no matter what. Therefore, the base cost of the cell phone plan is 60 dollars, and all extra costs must be added to that. Currently, our expression is therefore 60 + something = cost of cell phone plan.

After that, the plan costs $12 for each gigabyte of data past 10 GB. This means that, for example, if Maritza uses 11 gigabytes, the plan will cost 60 (the base amount) + 12 for each gigabyte past 10 GB. There are 11-10=1 extra gigabytes, so the cost is 60 + 12 * 1 = 72 dollars. For each extra gigabyte, 12 dollars are added, so we can represent this as

60 + 12 * g, with g representing the number of extra gigabytes

8 0
3 years ago
What is the volume of the cylinder below?
3241004551 [841]

Answer:

Step-by-step explanation:

It is C.

Volume-πr^2h

r-11

h-15

11^2*15

=1815π

6 0
3 years ago
Read 2 more answers
Other questions:
  • Design specifications that require a key dimension on a product measure 100 ± 10 units. A centered process is being considered f
    5·2 answers
  • 10!•8!/8!•7! simplify This equation
    11·1 answer
  • The monthly payment for a car lease is $530 for 18 months. The down payment is $2,000. The residual value is $7,000. What is the
    13·2 answers
  • Mary is preparing for her college entrance exams in a practice test she answered 12 problems in 30 minutes at this rate how many
    9·1 answer
  • What is the length of the screwdriver shown in this picture?
    15·1 answer
  • (x^4)^2 please answer I need an A
    9·2 answers
  • At a sale, hats were sold for $15 each. This price was 60% of theiir original price. What was the original price?
    7·2 answers
  • If 4.5 pounds of chocolate cost $10, how
    10·1 answer
  • A car travels 1,295 feet in 5 seconds. At that speed, how far can this car travel in 50 seconds? *
    7·1 answer
  • 8 to the power of 2 x (2+6) / 4
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!