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
Lapatulllka [165]
3 years ago
11

If sin θ=.55 what is the value of cos θ and explain why

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

Answer:

cos(\theta)=(+/-)0.84

Step-by-step explanation:

we know that

sin^2(\theta)+cos^2(\theta)=1 ----> by trigonometric identity

we have

sin(\theta)=0.55

substitute

(0.55)^2+cos^2(\theta)=1

cos^2(\theta)=1-(0.55)^2

cos^2(\theta)=0.6975

cos(\theta)=(+/-)\sqrt{0.6975}

cos(\theta)=(+/-)0.84

Remember that

If the sine of angle theta is positive, then the angle theta lie on the I Quadrant or II Quadrant

therefore

If the angle theta is on the I Quadrant the cosine  will be positive

If the angle theta is on the II Quadrant the cosine  will be negative

You might be interested in
Let C(n, k) = the number of k-membered subsets of an n-membered set. Find (a) C(6, k) for k = 0,1,2,...,6 (b) C(7, k) for k = 0,
vladimir1956 [14]

Answer:

(a) C(6,0) = 1, C(6,1) = 6, C(6,2) = 15, C(6,3) = 20, C(6,4) = 15, C(6,5) = 6, C(6,6) = 1.

(b) C(7,0) = 1, C(7,1) = 7, C(7,2) = 21, C(7,3) = 35, C(7,4) = 35, C(7,5) = 21, C(7,6) = 7, C(7,7)=1.

Step-by-step explanation:

In this exercise we only need to recall the formula for C(n,k):

C(n,k) = \frac{n!}{k!(n-k)!}

where the symbol n! is the factorial and means

n! = 1\cdot 2\cdot 3\cdot 4\cdtos (n-1)\cdot n.

By convention 0!=1. The most important property of the factorial is n!=(n-1)!\cdot n, for example 3!=1*2*3=6.

(a) The explanations to the solutions is just the calculations.

  • C(6,0) = \frac{6!}{0!(6-0)!} = \frac{6!}{6!} = 1
  • C(6,1) = \frac{6!}{1!(6-1)!} = \frac{6!}{5!} = \frac{5!\cdot 6}{5!} = 6
  • C(6,2) = \frac{6!}{2!(6-2)!} = \frac{6!}{2\cdot 4!} = \frac{5!\cdot 6}{2\cdot 4!} = \frac{4!\cdot 5\cdot 6}{2\cdot 4!} = \frac{5\cdot 6}{2} = 15
  • C(6,3) = \frac{6!}{3!(6-3)!} = \frac{6!}{3!\cdot 3!} = \frac{5!\cdot 6}{6\cdot 6} = \frac{5!}{6} = \frac{120}{6} = 20
  • C(6,4) = \frac{6!}{4!(6-4)!} = \frac{6!}{4!\cdot 2!} = frac{5!\cdot 6}{2\cdot 4!} = \frac{4!\cdot 5\cdot 6}{2\cdot 4!} = \frac{5\cdot 6}{2} = 15
  • C(6,5) = \frac{6!}{5!(6-5)!} = \frac{6!}{5!} = \frac{5!\cdot 6}{5!} = 6
  • C(6,6) = \frac{6!}{6!(6-6)!} = \frac{6!}{6!} = 1.

(b) The explanations to the solutions is just the calculations.

  • C(7,0) = \frac{7!}{0!(7-0)!} = \frac{7!}{7!} = 1
  • C(7,1) = \frac{7!}{1!(7-1)!} = \frac{7!}{6!} = \frac{6!\cdot 7}{6!} = 7
  • C(7,2) = \frac{7!}{2!(7-2)!} = \frac{7!}{2\cdot 5!} = \frac{6!\cdot 7}{2\cdot 5!} = \frac{5!\cdot 6\cdot 7}{2\cdot 5!} = \frac{6\cdot 7}{2} = 21
  • C(7,3) = \frac{7!}{3!(7-3)!} = \frac{7!}{3!\cdot 4!} = \frac{6!\cdot 7}{6\cdot 4!} = \frac{5!\cdot 6\cdot 7}{6\cdot 4!} = \frac{120\cdot 7}{24} = 35
  • C(7,4) = \frac{7!}{4!(7-4)!} = \frac{6!\cdot 7}{4!\cdot 3!} = frac{5!\cdot 6\cdot 7}{4!\cdot 6} = \frac{120\cdot 7}{24} = 35
  • C(7,5) = \frac{7!}{5!(7-2)!} = \frac{7!}{5!\cdot 2!} = 21
  • C(7,6) = \frac{7!}{6!(7-6)!} = \frac{7!}{6!} = \frac{6!\cdot 7}{6!} = 7
  • C(7,7) = \frac{7!}{7!(7-7)!} = \frac{7!}{7!} = 1

For all the calculations just recall that 4! =24 and 5!=120.

6 0
3 years ago
PLEASE HELP ME ON THIS URGENT DO NOT WASTE ANSWERS WILL MARK BRAINLIEST
Fed [463]

Answer:

Im gonna guess 6

Step-by-step explanation:

7 0
3 years ago
EASY BRAINLIEST ANSWER ASAP!!
elena-14-01-66 [18.8K]

Answer:

  1. (0, 4)
  2. (-1, 16/ 3)
  3. (-9/ 2, 10)

Step-by-step explanation:

In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.

1.

4x + 3y = 12 . . . . . .(0, _)

here were given the x variable

finding the other term

4× 0 + 3y = 12

3y = 12

y = 4

therefore the ordered pair is <u>(0, 4) </u>

2.

. . . . . . . (-1, _)

here were given the x variable

4 × -1 + 3y = 12

3y = 12 + 4

3y = 16

y = 16/ 3

ordered pair is <u>(-1, 16/ 3)</u>

3.

. . . . . . . . (_, 10)

here were given the y variable

finding the other term

4x + 3 × 10 = 12

4x + 30 = 12

4x = 12 - 30

4x = -18

dividing both sides by 2

2x = -9

x = -9/ 2

ordered pair is<u> (-9/ 2, 10)</u>

4 0
2 years ago
Estimat the product of 32*36
7nadin3 [17]
32(40-4)
32*40 - 32*4
1,280 - 128=
1,152
therefor
32*36= 1,152
4 0
3 years ago
The diagram shows squares 1 2 and 3
nikklg [1K]

(Area of 1) + (Area of 2) = (Area of 3) this statement about the squares must be true.

What is Right angle traingle?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest of the three sides, known as the hypotenuse, is the third side.

we know that;

By applying the Pythagorean Theorem;

c^2 = a^2 + b^2                                                                 .............................(1)

Area of the square says A1;

A1 = a^2 unit^2                                                           ...............................(2)

Area of the square says A2;

A2 = b^2 unit^2                                                         .................................(3)

Area of the square says A1;

A3 = c^2 unit^2                                                         ..................................(4)

Replace the A1, A2, and A3 values in the equation 1 ;

A3 = A1 + A2

therefore;

(Area of 1) + (Area of 2) = (Area of 3).

Learn more about right angled triangle click here:

brainly.com/question/22790996

#SPJ4

8 0
1 year ago
Other questions:
  • Jason plans to pay the water bill with 2 equal payments . Enter a fraction to represent the division in this situation if the wa
    8·1 answer
  • I need help I don’t understand
    8·1 answer
  • Solve the following equation: 2x - 3 = 17.<br><br> a. 5<br> b. 7<br> c. 10<br> d. 12
    11·1 answer
  • What’s the difference between a radius and a diameter?
    15·2 answers
  • Write a linear equation that gives the rule for this table.
    9·1 answer
  • A) 3d = 2d - 2<br><br>B) 5d = 4d - 4 ​
    12·1 answer
  • Howard solved 6 math problems in 16 minutes.
    14·1 answer
  • One of the legs of a right triangle measures 1 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necess
    11·1 answer
  • Can you answer my questions please in my profile because tomorrow is the deadline​
    5·1 answer
  • WILL MARK BRAINLIEST AND 50 PTS This table shows the minutes students spent studying for their science exam and the scores they
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!