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
Leviafan [203]
2 years ago
12

The Pythagorean Identity states that:

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
7 0

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)²  = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

You might be interested in
The annual health insurance premium for Ms Everett is $12,304. her employer pays 70% of the premium and deducts the remainder fr
Gekata [30.6K]
Answer: See each one below:

1) Since she is paying for 30% of the cost, we multiply it by 0.3. Then, since it is over the whole year, we divide it by 12.

12304 * 0.3 / 12 = 307.6 B

2)  First, we subtract the cost of the 50 deductible, then multiply the amound by 0.2 because he has to pay 20% of the balance.
1060 - 50 = 1010 x 0.2 = 202 A

3)  First, we find the total cost of the visits. Mattie has to pay for 40% so times it by 0.4. Then, don't forget to add in the cost of 12 co-pays of $15 each.
3660 * 0.4 = 1464 + 15(12) = 1664 B
7 0
3 years ago
Read 2 more answers
Which inequality would be in the correct slope-intercept form:
WINSTONCH [101]

Answer:

J. y > 3x + 5

Step-by-step explanation:

To convert the standard form equation into slope-intercept, we must make y isolated.

Step 1: Subtract 6x from both sides.

  • 6x-2y-6x
  • -2y

Step 2: Divide both sides by -2 and flip the inequality sign.

  • -2y/-2 < (-6x-10)/-2
  • y>3x + 5

Therefore, the answer is J.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
2 years ago
Read 2 more answers
Mrs.Hernandez told her class that 95% of the students in the class passed the math test if there are 20 students in the class ho
disa [49]

Answer:

19 people passed

Step-by-step explanation:

19 people passed the test

6 0
2 years ago
The value y of varies directly with x. When y = 19.375, x = 7.75.
Bingel [31]

Answer: (X,Y) = (0.4, 7.75)

Step-by-step explanation:

Y=7.75,

19.375X=7.75

Then solve for X

Divide 19.375 on both sides to get X=0.4

Y=7.75

X=0.4

6 0
3 years ago
Read 2 more answers
Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couple
yulyashka [42]

Answer:

the residual is 0.2032

Step-by-step explanation:

The regression line has been given as:

Y^ = 0.00753X-0.06759

The paired observation for X is (31, 0.369)

The value of X is the empathy score under subject 15 = 31

The value of the brain activity under subject 15 is 0.369

So we have y^ = 0.00753(31) - 0.06759

= 0.1658

Then the residual = y - y^

= 0.369 - 0.1658

= 0.2032

Therefore the residual is 0.2032

Please check the attachment for the table, it will aid you in understanding the solution

4 0
2 years ago
Other questions:
  • At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women,
    13·2 answers
  • A flying squirrel jumped from a tree 11 feet in the air at an initial velocity of 9 feet per sencond. The equation h=-2t^2+9t-11
    9·2 answers
  • In the formula A(t) = A0ekt, A(t) is the amount of radioactive material remaining from an initial amount A0 at a given time t an
    14·1 answer
  • I need your help on geometry finals question 14
    10·2 answers
  • What is the vertex of the graph of the function f(x) = (x + 2)^2 − 3?
    11·1 answer
  • Cole made a scale drawing of the elementary school. The scale he used was
    10·1 answer
  • D
    5·1 answer
  • MATH, HELP ASAP
    7·2 answers
  • The perimeter of a rectangle is 90 centimeters. The length is 27 centimeters.
    14·1 answer
  • What is the domain of the absolute value function below?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!