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
charle [14.2K]
3 years ago
14

Given the diagram below, what is cos(45*)? A. B. C. D.

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0

Answer:

The answer is option B

Step-by-step explanation:

To find cos 45° we must first find the adjacent and the hypotenuse

Let the adjacent be x

Let the hypotenuse be h

To find the adjacent we use tan

tan ∅ = opposite / adjacent

From the question

the opposite is 9

So we have

tan 45 = 9 / x

x tan 45 = 9

but tan 45 = 1

x = 9

Since we have the adjacent we use Pythagoras theorem to find the hypotenuse

That's

h² = 9² + 9²

h² = 81 + 81

h² = 162

h = √162

h = 9√2

Now use the formula for cosine

cos∅ = adjacent / hypotenuse

The adjacent is 9

The hypotenuse is 9√2

So we have

cos 45 = 9/9√2

We have the final answer as

<h3 /><h3>cos 45 = 1 / √2</h3>

Hope this helps you

You might be interested in
Quadrilateral PUMA has coordinates at P(-5,-2), U(-1,2), M(4,-3), A(0,-7) and it is transformed by (x+3,y-5). Determined the ima
IgorLugansk [536]

The image of M is (7 , -8)

Step-by-step explanation:

Let us revise some transformation

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ The quadrilateral PUMA has coordinates at:

   P (-5 , -2) , U (-1 , 2) , M (4 , -3) , A (0 , -7)

∵ It is transformed by (x + 3 , y - 5)

- That means the quadrilateral translated 3 units right and 5 units

   down, then we add each x-coordinate by 3 and subtract 5 from

   each y-coordinate

∵ The coordinates of point M are (4 , -3)

∴ The image of point M = (4 + 3 , -3 - 5)

∴ The image of point M = (7 , -8)

The image of M is (7 , -8)

Learn more:

You can learn more about transformation in brainly.com/question/5563823

brainly.com/question/11203617

*LearnwithBrainly

8 0
3 years ago
A map of a forest uses a scale of 1 inch = 15 miles. The dimensions of the map are 8 inches by 14.5 inches. What is the actual a
Bad White [126]

The dimension from 8 inches to actual size is 8 * 15 = 120. 14.5 inches to actual size is 14.5 * 15 = 217.5.

Then, you multiply 120 to 217.5 to get 26100 square miles.

The answer is D.

8 0
4 years ago
Read 2 more answers
Simplify the expression: 14x-5(6x-7)+18​
USPshnik [31]

Answer:

−16x+53

Step-by-step explanation:

Distribute

14−5(6−7)+18  

↓

14−30+35+18

Add

14−30+35+18

↓

14−30+53

Combine like terms

14−30+53

↓

−16+53

8 0
3 years ago
Evaluate the Expression :<br> (-2 4/5) + 2 2/3 + (-3 1/2)
denis-greek [22]

−24/5+22/3+−31/2

=38/15+−31/2

=−389/30

7 0
3 years ago
What is 1000000x20000
Aleks [24]
Two multiplied by 1 is 2. Then, add all of the zeroes. There are 10. 

Your answer is 20,000,000,000.
8 0
4 years ago
Read 2 more answers
Other questions:
  • Which of the following is something that will not affect your homeowners insurance premium? a. the distance of the home from a s
    10·2 answers
  • Find the slope of the line
    8·1 answer
  • Easy question but IM dumb so help me.
    12·2 answers
  • HELPPPP! PLEASE EXPLAIN!!!
    15·1 answer
  • ★write the pair of integer in which multiplication is -45 and difference is 12.
    10·1 answer
  • What is the answer of 2+y=11​
    13·2 answers
  • An airplane 30,000 feet above the ground
    8·1 answer
  • Please please please tell the answer​
    5·2 answers
  • Math Questions!!! Please help if you see this!!
    6·1 answer
  • PLEASE SOS I NEED THE ANSWER THIS IS URGENT
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!