Evaluate sin^2 θ for θ = 45°

Answers

Answer 1

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value , then

sin²45° = [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex]


Related Questions

Is x = 9 in the solution set of the inequality x + 14 < 20
Yes or no

Answers

Answer: No

Step-by-step explanation:

Data: x+14<20

x=9? Is what your trying to find

Step one, Isolate x by subtracting 14 on both sides

X+14-14<20-14=X=6

Reason: Since you are trying to find if x=9, you have to isolate it. The way to do that is to get rid of +14 by subtracting it by 14. However, since what you do to one side you do to the other, you subtract +20 by 14 to get 6.

Since x=6 isn't x=9, the answer is No

Answer: No

I hope this helps!

Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok

Answers

Answer:

Look at the image.

Step-by-step explanation:

what time is it from where y’all live ?

Answers

Answer:

1 Pm

Step-by-step explanation:

Answer:

3:18 Pm

Step-by-step explanation:

Nice picture of mute button

Draw the net figure label the net with appropriate dimensions in centimeters

Answers

Answer:

your answer has to be A or B  cuz the rest fo match up with the measurements

Step-by-step explanation:

3/4 of Stella's garden is flowers. She grows 6 types of flowers spaced equally. What fraction of her garden is dedicated to each type of flower?

Answers

Answer: 1/8 of her garden

1/8 of her garden is dedicated to each type of flower.

What is a fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given

part of stella's garden has flowers = 3/4

types of flowers = 6

fraction of her garden is dedicated to each type of flower = 3/4 / 6 = 3/4 *1/6 = 3/24 = 1/8.

To learn more about fractions refer to:

https://brainly.com/question/78672

#SPJ2

pls help me rn i really need help i will give 10 points

Answers

The height would be 13 inches

n manufacturing a product, 85% of the units that are produced are not defective. Of the products inspected, 10% of the good ones (i.e., not defective) are falsely seen as defective and not shipped whereas only 5% of the defective products end up approved and shipped. If a product is shipped, what is the probability that it is defective?

Answers

Answer:

0.0097 = 0.97% probability that it is defective

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Product is shipped.

Event B: It is defective.

Probability of the product being shipped:

100 - 10 = 90% of 85%(not defective).

5% of 100 - 85 = 15%(defective). So

[tex]P(A) = 0.9*0.85 + 0.05*0.15 = 0.7725[/tex]

Probability of being shipped and being defective:

5% of 15%. So

[tex]P(A \cap B) = 0.05*0.15 = 0.0075[/tex]

What is the probability that it is defective?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0075}{0.7725} = 0.0097[/tex]

0.0097 = 0.97% probability that it is defective

Express y-4[y-3(y-2)] -5 in simplest form

Answers

Answer:

y^3 - 9y^2 + 26y - 29

Step-by-step explanation:

y - 4[y - 3(y - 2)] - 5

I'm going to separate it into parts

(y - 3)(y - 2)

y^2 - 5y + 6

(y - 4)(y^2 - 5y + 6)

y^3 - 5y^2 + 6y - 4y^2 + 20y - 24

y^3 - 9y^2 + 26y - 24

y^3 - 9y^2 + 26y - 24 - 5

y^3 - 9y^2 + 26y - 29

Maria is bringing her sick dog Pedro in for a series of appointments at the
veterinary clinic. Her total cost over the course of treatment will be $150 for tests
and medicine plus $30 per appointment, a.

Answers

Answer:

need help asap

Step-by-step explanation:

X=130+50a is the correct answer

Which fraction is equivalent to
1/3

Answers

Answer:

there's many! three examples of equivalent fractions to 1/3 are: 3/9 9/27. and 27/81

Hope that helps!

A road is inclined at an angle of 3°. After driving 5330 feet along this road, find the drivers increase in altitude​

Answers

Hope this helps just some notes

Discuss in detail how the nature of data influences selection of statistical technique(s) to organize, summarize, and present your data. Provide examples to support your argument.

Answers

Answer:

Step-by-step explanation:

Data could exists in several different forms which often dictates if the data can be used directly in its raw format or if it requires conversion to another format. The nature of data is often very robust. Some data may occur as numeric and have meaning in terms of addition and other statistical properties; however some are only dummy and are restricted to (0's and 1's). Similarly, some may be used to show rank or depth and as such have no meaning while trying to perform Mathematical calculation. Therefore, choosing statistical summaries for the data sivj as the. Mean, median and mode will depend on the input, binary data cannot be summarized using the median or mean except the use of a modal score. While the presentation of the data using graphs also rewired that the nature of the data be considered before selecting a suitable chart (linen, bar, dot, pie and so on).

In a class of 28 students, 17 play an instrument and 6 play a sport. There are 4 students who play an instrument and also play a sport. What is the probability that a student chosen randomly from the class plays a sport and an instrument? ​

Answers

Answer:

Step-by-step explanation:

P=4/28=1/7

Answer:

14.3% or 1/7

Step-by-step explanation:

4 / 28

4 students who play a sport and instrument divided by 28 total students

find K if 4 x square - 2 X square + kx + 5 leaves a remainder -10 when divided by 2x+1​

Answers

Answer:

[tex]k = 31[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]

[tex]r = -10[/tex] --- remainder

[tex]d = 2x + 1[/tex] --- divisor

Required

Find k

We have:

[tex]d = 2x + 1[/tex] --- divisor

Equate to 0

[tex]2x + 1 = 0[/tex]

Solve for x

[tex]2x = -1[/tex]

[tex]x =-0.5[/tex]

This means that:

[tex]f(-0.5)=-10[/tex]

So, we have:

[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]

[tex]0.5 -0.5k + 5 =-10[/tex]

Collect like terms

[tex]-0.5k=-10-5-0.5[/tex]

[tex]-0.5k=-15.5[/tex]

Solve for k

[tex]k = -15.5/-0.5[/tex]

[tex]k = 31[/tex]

Click on three points that are solutions to y = 3x^2- 2x +3.
A. (-2, 19)
B. (0,0)
C. (1,2)
D. (1,4)
E. (2,5)
F. (2, 11)

Answers

(0,3), (1,4), (2,11)

Which is the most reasonable measure for the capacity of a bathtub?
O 5 liters
O 159 liters
O 159 milliliters
O 1000 milliliters

Answers

b 159 liters a is a couple of sodas c and d are very small amounts

plzzzzz help me i have no clue​

Answers

Answer: Maybe a

Step-by-step explanation:

I mean it is confusing but still look over it

Answer:

The bottom one looks correct

Step-by-step explanation:

Any number from 1-infinity will make that true

what number shoild come next 100,96,88,72​

Answers

Answer - 40

----------

100 - 4

96 - 8

88 - 16

72 - 32

Josie has a standard number cube and a fair coin. What is the probability that Josie will roll a 3 and flip a tail?

A) 1/4
B) 1/6
C) 1/8
D) 1/12

Answers

B) 1/6 because if you roll 2 times it would be 3 times 2 or 3 plus 3 which both equal 6
1/6 because the cube has four sides and the coin has two

Express the rate in lowest terms. There are six teachers for every 108 students.​

Answers

Answer:

Step-by-step explanation:

 108 students

----------------------- = 18 students per teacher

     6 teachers

Answer:

Aproximatly 18 students for each teacher

Step-by-step explanation:

108/6 is 18

Which vectors represent the reflection of the vector <3, -7> across the x-axis?

Answers

Bonn. H j j I in j.





Mmmmm
Mmmmm




Find the measure of the missing side PQ using trig ratios

Answers

Answer:

take 48 degree as reference angle

use sine rule

sin48=opposite/hypotenuse

0.74=5.4/x

x0.74=5.4

x=5.4/0.74

x=7.29  m

Step-by-step explanation:

Answer:

[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]

HELPP, RIGHT TRIANGLES AND TRIGONOMETRY

Answers

Step-by-step explanation:

x²=6²+8²

=36+64

= 100

x=√100 = 10

Answer:

[tex]\displaystyle 10 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = x^2 \hookrightarrow 64 + 36 = x^2 \hookrightarrow \sqrt{100} = \sqrt{x^2} \\ \\ \boxed{10 = x}[/tex]

We only want the NON-NEGATIVE root sinse we are measuring the length of the hypotenuse.

I am joyous to assist you at any time.

PLEASE ILL GIVE BRAINLIEST

Ahmed has 31 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 535 cents, how many dimes and how many quarters does he have?

Answers

Answer:

19  dimes and  15  quarters.

Step-by-step explanation:

Lets substitute in the equation

565=10x+25(34-x)

565=10x+850-25x

15x=285

x=19

So...

34-19=15

19 dimes and 15 quarters.
Explanation:
34=x+y
34−x=y
565=10x+25y
Substitute the first equation, so
565=10x+25(34−x)
565=10x+850−25x
15x=285
x=19 dimes
Therefore
34−19= 15 quarters

what would be x and y please help

Answers

Answer:

x=3, y=3√2

Step-by-step explanation:

This is a right isosceles triangle, so the sides of the main vertex are equal, so x=3

Using Pythagorean theorem:

y²=3²+3²=9+9=18

y=√18=3√2

The librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the Library of Congress is

Answers

Answer:

a. 880

Step-by-step explanation:

Options are "a. 880 b. 90 c. 790 d. None of these choices"

Interval estimate of between 790 and 970 books checked out per day.

Lower limit is 790, Upper limit is 970

Point estimate of μ(x) = [Upper limit + Lower limit} / 2

Point estimate of μ(x) = [970 + 790] / 2

Point estimate of μ(x) = 1760/2

Point estimate of μ(x) = 880

So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.

Divide (2 3/5) divide sign 2/3


(1 4/5)
(2 9/10)
(1 11/15)
(3 9/10

Answers

Answer:

i guess use this https://www.calculatorsoup.com/calculators/math/fractions.php

Step-by-step explanation:

Carla figures she spends 21% of her income on food. which fraction is a good estimate for 21%

Answers

21/100
Because that’s what I think it is

Help I need help fast ill give brainliest

Answers

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3/2)x - 2  

hope it helps

x+2=5, what must x equal? how did you know this

Answers

Answer:

x=3 because 5-2=3 meaning 3+2=5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

x+2-2=5-2

x=3

subtract 2 from both sides of the equation

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