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
Elanso [62]
3 years ago
8

Given the value of cos 20° ≈ 0.9397, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of

complementary angles.

Mathematics
1 answer:
NARA [144]3 years ago
8 0

cos(20) = sin(70)

note how 20+70 = 90

The general rule is that if x+y = 90, then cos(x) = sin(y). The rule works in reverse as well. Another way to phrase the rule is cos(x) = sin(90-x).

So,

\cos 20^{\circ} = \boxed{\sin 70^{\circ}} \approx \boxed{0.9397}

Note: if the computer doesn't like the answer of "sin 70" then try "sin(70)" and see how that works out. It's also possible that the teacher wants the single numeric value of "70" in the first box rather than the "sine" part to go along with it. Though that would be strange and incorrect since cos(20) = 70 is a false statement.

You might be interested in
James borrows $300 at an interest rate of 8% and takes 5 years to pay it off.
Eduardwww [97]
He pays $420
0.08*5=120
300+120= $420
8 0
3 years ago
Read 2 more answers
The prior probabilities for events A1 and A2 are P(A1) = 0.30 and P(A2) = 0.55. It is also known that P(A1 ∩ A2) = 0. Suppose P(
k0ka [10]

We're given the following probabilities:

P(A_1)=0.30

P(A_2)=0.55

P(A_1\cap A_2)=0

P(B\mid A_1)=0.20

P(B\mid A_2)=0.05

(a) Yes, A_1 and A_2 are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.

(b) Use the definition of conditional probability to expand:

P(A_1\cap B)=P(A_1)P(B\mid A_1)=0.30\cdot0.20=0.06

P(A_2\cap B)=P(A_2)P(B\mid A_2)=0.55\cdot0.05=0.0275

(c) By the law of total probability,

P(B)=P(A_1\cap B)+P(A_2\cap B)=0.06+0.0275=0.0875

(d) Bayes' theorem says

P(A_1\mid B)=\dfrac{P(A_1)P(B\mid A_1)}{P(B)}=\dfrac{0.30\cdot0.20}{0.0875}\approx0.686

P(A_2\mid B)=\dfrac{P(A_2)P(B\mid A_2)}{P(B)}=\dfrac{0.55\cdot0.05}{0.0875}\approx0.314

3 0
3 years ago
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,5
4vir4ik [10]

Answer: x=124 people

Step-by-step explanation:

8 0
2 years ago
Homework:Assignment 3 Question 20 Score: 0 of 1 point A vending machine dispenses coffee into ​-ounce cup. The amount of coffee
xxMikexx [17]

Answer:

19.92

Step-by-step explanation:

To overfill 5% of the time ;

The Zscore (value) to the left of (1 - 0.05) = 0.95 is 1.645

Using this Zscore value with the Zscore formula :

Zscore = (x - μ) / σ

σ = 0.05 ; x = 20 ounce

Substituting into the Zscore formula :

1.645 = (20 - μ) / 0.05

1.645*0.05 = 20 - μ

0.08225 = 20 - μ

μ = 20 - 0.08225

μ = 19.91775

μ = 19.92

8 0
3 years ago
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
andrew-mc [135]

Step-by-step explanation:

The sum of all angles in a triangle is always 180.

So we can set up an equation

3/2x+1/2x+x= 180

3/2+1/2x+2/2x=180

3x+1x+2x=360

6x=360

x=60

4 0
3 years ago
Other questions:
  • Please answer this question, will give brainliest!
    14·1 answer
  • How do i solve this? ASAP!
    10·1 answer
  • A tanks length is 3 feet longer than its width. The height is 1 foot less than the width. The volume of the tank is 160 cubic fe
    13·1 answer
  • What are the lengths of the sides of the right triangle
    5·2 answers
  • Select the lesser of the two given numbers.<br> 16, 1-19
    7·1 answer
  • An angle measures 58.4° more than the measure of its complementary angle what is the measure of each angle?
    8·1 answer
  • What is 4|x+9| divided by 5 is less than 8
    7·1 answer
  • Help plz!!!!!!!!!!!!!
    14·1 answer
  • Simplify:<br><img src="https://tex.z-dn.net/?f=x%20%5E%7B4%7D%20%20-%20%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B2%7D%20%20%2B%20%2
    13·1 answer
  • A population of insects increases at a rate of 1. 5% per day. About how long will it take the population to double? 2. 5 days 5.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!