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]
2 years ago
14

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

Mathematics
1 answer:
alina1380 [7]2 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
What is the length of leg s of the triangle below?
Phoenix [80]

Answer:

option A

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 = opposite / hypotenuse

\frac{1}{\sqrt{2} } = s/8\sqrt{2}

\frac{1}{\sqrt{2} } *8\sqrt{2} = s

root 2 and root 2 gets cancel

8 = s

8 0
2 years ago
A triangle has base 15ft and area 60ft2. What is the height?j
hoa [83]
The height is 4 feet. You calculate the area by length times height. So what multiplied by 15 is 60? Well, 15ft x 4ft = 60ft^2
6 0
3 years ago
Write 31 5 as a mixed number.
vaieri [72.5K]

Answer:

6 1/5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLZ HELP I WILL GIVE THE BRAINLEST AND 22 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! An expression is shown below: 6(m + 2 +
n200080 [17]

Answer:

part A: expression 1: 6(8m+2)

          expression 2: 6m+12+42m

Part B: 6(m+2+7m)= 6(8m+2)

combine like terms is 6(m+2+7m), so it is 6(2+8m) or 6(8m+2)

6(8m+2)= 6(8m+2)

Part C: 6m+12+42m=6(m+2+7m)

m=0

6(0+2+7(0))=6(0)+12+42(0)

6(2)= 12

12=12

7 0
3 years ago
Write an equation in slope-intercept form of the line that passes through the givin point and is parcel to the graph of the give
Serhud [2]

The answer is X=4.

It is both parallel to x=-3 and passes through (4,2)

5 0
3 years ago
Other questions:
  • The ratio of boys to girls in a school is 5:8. If the number
    6·1 answer
  • NEED ASAP! Given: AB = 12 AC = 6 Prove: C is the midpoint of AB. A line has points A, C, B. Proof: We are given that AB = 12 and
    16·2 answers
  • Gabe can now 2 1/2 acres oflawn in 1 day.how many acres of lawn can he now in 2 1/3 days?
    9·1 answer
  • Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.
    13·1 answer
  • What is the perimeter of square ABCD?​
    11·1 answer
  • I need help solving this problem
    12·1 answer
  • Evaluate the expression 1 + 3 i/5 i and write the result in the form a + b i .
    14·1 answer
  • The order of pairs below follow a pattern <br><br> (0,2) , (1,3) , (2,4) , (3,5) , (4,6)
    7·2 answers
  • The points (2, r) and (5, -9) lie on a line with slope – 2. Find the missing coordinate r.
    5·1 answer
  • The production cost, represented by y, of a Bluetooth device, is equal to the product of labour cost (m) and number of devices (
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!