Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]

Special Right Triangles. Find The Value Of X? Hypotenuse = Leg [tex] \sqrt{2} [/tex]

Answers

Answer 1

Answer:

x = (9√2)/2

Step-by-step explanation:

Reference angle = 45°

Hypotenuse length = 9

Adjacent length = x

Apply the trigonometric ratio CAH:

Cos 45° = Adj/Hyp

Cos 45° = x/9

Multiply both sides by 9

9*Cos 45 = x

9*1/√2 = x (cos 45 = 1/√2)

9/√2 = x

Rationalize

(9*√2)/2 = x

x = (9√2)/2


Related Questions

NEDD HELP ASAP PLEASEEEEEEEEEEEE :/

Answers

i'm not for sure but i think it's 960

30 + q = 43 show work PLEASEE HELP

Answers

Answer:

13

Step-by-step explanation:

43 - 30 = 13

q = 13

Answer:

q=13

Step-by-step explanation:

first, subtract 30 from both sides of the equation

30-30+q=43-30

you should be left with q=13

that's your answer

Regis was competing on a game show, and he ran into a losing streak. First, he bet half of his money on one question and lost it. Then he lost half of his remaining money on another question. Then he lost $300 on another question. Then he lost half of his remaining money on another question. Finally, he got a question right and won $200. At this point, the show ended, and he had $1,200 left. How much did he have before his losing streak began

Answers

Answer:

$9200

Step-by-step explanation:

Given :

Working backwards :

Amount left before last $200 winning = $1200 - $200 = $1000

Amount had before 4th bet loss : $1000 * 2 = $2000

Amount lost on third bet loss = $300

Total amount had before 2nd bet loss = $(2000 + 300) = $2300

Amount had before second loss = 2 * 2300 = $4600

Amount had before first bet loss = $4600 * 2 = $9200

Hence, amount had before starting to lose games is $9200

C. Mrs. Hampton used 1/3 of a gallon of milk to feed three kittens. If she fed an equal amount
of milk to each kitten, how much milk would one kitten get?

Answers

1/9, sorry if it’s wrong!! Hopefully it helps you!

Please help I’ll mark you as brainliest if correct

Answers

Answer:

The Bakery will sell 22 more vanilla cupcakes than lemon cupcakes.

Step-by-step explanation

Ruling out the answers here, with the first answer you can get that by looking at the graph and can be supported with the data set. With the third answer that can also be supported by the data set and is a educated prediction. And for the fourth answer same thing as the last ones. The only one that wouldn't make sense if you were trying to support it with the data of cupcakes would be the second answer. Which therefore should be your answer.

The least common multiple of 3, 4, 6, and 8 is

Answers

Answer:

24 is the least common multiple of 3, 4, 6, and 8 is

For the function defined by y = StartFraction 1 Over x squared EndFraction, y varies inversely as what quantity? a. x c. y b. 2x d. x squared

Answers

Answer:

D- x^2

Step-by-step explanation:

Just did the practice edge. 2021

For a given function, y is inversely proportional to x.

Option A is correct.

What is function?

A function is a mathematical process that uniquely relates the value of one variable to the value of one (or more) other variables.

A function is a special type of relation where every input has a unique output.

A function is a correspondence between two sets(called the domain and range) such that to each element of the domain, there is assigned exactly one element of the range.

Given function

y = [tex]\frac{1}{x^{2} }[/tex]

If x = 1, y =  [tex]\frac{1}{1^{2} }[/tex] = 1

If x = 2, y = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] = 0.25

If x = 3, y = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex] = 0.111

If x is changing, y is also changing.

x is in denominator.

So, it means inversely proportional.

Y is inversely proportional to x.

Find out more information about function here

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CAN SOMEONE EXPLAIN AND MAYBE SHOW ME STEP BY STEP WHY THE ANSWER IS 75degrees. HURRY 50 points and brainiest!!!

Answers

Answer:

75 is auwsome kid. im a million.

Step-by-step explanation:

waka waka

Triangle LQP is isosceles, and in it, angle L is 30 degrees; so the other two angles add up to 150 degrees. Hence, angle LQP is 75 degrees.

I need help with my math assignment

Answers

x+15=102
102-15=x
x=87
Please give me brainliest

Reduce the following fraction to lowest terms: [tex]16/20[/tex]

Answers

2/2 because 20 can go into 2 and 16 goes into 2
Answer is 4/5 hope this helps

Question
Given matrix A shown below, find 6 A

Answers

Answer:

-6 18

-30 30

Step-by-step explanation:

Multiply each number in the matrix by the 6.

What’s is 47x88x9x0???

Answers

Answer:

0

Step-by-step explanation:

go left to right

47x88=4136

4136x9=37224

37224x0=0

Regina rolls a fair, six-sided die every week, and her allowance for that week is twice the
number she rolls on the die. Write an expression to represent Regina's allowance for the
week where n represents the number that Regina rolls on the die that week.
Write your answer in the box.

Answers

Answer:

6*2=n

Step-by-step explanation:

Well, if its a 6 sided die, and she gets twice the amount, then 6*2 and since the total = n 6*2=n The Total of the equation would be 12 instead of n

Hey guys I need help with this question

Answers

There are three areas.
A1=l•w
A1=2•1
A1=2 units^2

A2=l•w
A2=5•2
A2=10 units^2

A3=l•w
A3=2•1
A3=2 units^2

Area of shape is A
A=A1+A2+A3
A=2+10+2
A=14 units^2

please help answer questions 1 and 2!

Answers

Answer:

1:A

3:C

hope this help

Pls help solve these three

Answers

Answer:

1. True

2. False

3. False

Step-by-step explanation:

It’s,yes(true),and,no(false),no(false)

Solve for x. Round all answers to the nearest tenth.
9
X
12

Answers

Answer:

I hope im right so so sorry if im not

Step-by-step explanation:

first find area

1/2 bh

1/2 of base times height

bh=(9)(12)=108

if there is a right angle then that is 90°

so do 108° -90° which is 18°

So your answer is 18°

The solution is, the value of x = 36.87.

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

from the given figure,

we get,

height = 9

base = 12

by, using the trigonometric relations,

we get,

tan x = 9/12

or, tan x = 0.75

or, x = 36.87

Hence, The solution is, the value of x = 36.87.

To learn more about trigonometric relations click :

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I’ll mark as BRANLIEST!!

30 POINTS!!

Answers

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: 900 \: }}}}}[/tex]

fine the Value of t in the equation


Answers

Answer:

14.4

Step-by-step explanation:

6 x (t1/3 + t1/2) = 12(6)

2t + 3t = 72

5t = 72 /5

t= 14.4

solve the equation f/3+22=17

Answers

1) f/3 + 22 = 17

2) f/3 + 22 - 22 = 17 - 22

= f/3 = -5

3) 3 • f/3 = 3(-5)

= f = 3(-5)

= f = -15

Your answer would be f = -15

:)

Answer:

f = -15

Step-by-step explanation:

f/3 + 22 - 22 = 17 - 22

f/3 + 0 = -5

f/3 = -5

f = 3 × (-5)

f = -15

Thus, The answer is -15

-TheUnknownScientist

The area of a large rectangular rug is 54 square feet. List all the possible pairs of
dimensions for the rug

Answers

Answer: 2 x 27, 3 x 18, 6 x 9

Step-by-step explanation:

I would love for someone to help me with this.

Answers

Answer:

5x + 3y = 12

Step-by-step explanation:

We are given the line 5x + 3y = 6 and are to find the equation of a new line that is parallel to this one and goes through (3, -1).

Parallel lines have the same slope.  The slope of the given line is determined by the coefficients 5 and 3 visible above.  Therefore, the form of the equation of the new line is 5x + 3y = C, where we must determine the value of C.

Substitute 3 for x and -1 for y in 5x + 3y = C, obtaining:  5(3) + 3(-1) = C.  Then 15 - 3 = 12 is the constant value, and the equation of the 'new line' is

5x + 3y = 12

Function operations

Answers

Answer:
Can’t see the image above. It’s black

Explanation:

Two-fifths of the stage crew are girls. if there are 30 members of the stage crew, how many are girls?​

Answers

Answer:

12 girls

Step-by-step explanation:

30*(2/5)=12

find the domain for 5/x2-9

Answers

Answer:

x > -3 or -3 < x < 3 or x > 3

Step-by-step explanation:

[tex]x^{2}[/tex] - 9

= (x + 3)(x - 3)

the undefined singularity points are at x = 3 and x = -3

x  > 3 or x > -3

pls somebody help me i need help on this

dont get it

Answers

Answer:

its 8.1

Step-by-step explanation:

if 1 mile is 5.4 you would divide that by two and then add 5.4 +2.7 which equals your answer 8.1

The maximum grain yield for corn is achieved by planting at a density of 36,000 plants per acre. A farmer wants to maximize the yield for the field represented on the coordinate grid. Each unit on the coordinate grid represents one foot. How many corn plants, to the nearest thousand, does the farmer need? (Hint: 1 acre = 43,560 ft2)

Answers

Answer:501,000

Step-by-step explanation:

Which is the solution for In (3x – 5)=In 11 + In 2?
a.
X = 8
c.
X=-3
b.
X9
d. x - 7

Answers

Answer:

C

Step-by-step explanation:

Jah gg if fhbvvjhggfhvcg

A college has a limited enrollment summer course that only accepts 50 students, selected at random from
the more than 2000 qualified students who apply each year. Of these applicants, 22% have completed 2
or fewer years of college. Suppose the registrar calculates the annual proportion of students accepted
into the course who have completed 2 or fewer years of college.
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.22
0.22

Answers

Answer: C 0.22,

Step-by-step explanation:

We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample

Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].  For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem:

The proportion is of [tex]p = 0.22[/tex].Samples of 50 students are taken, hence [tex]n = 50[/tex].

Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]

The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25868626

Complete the sentence: An unbiased estimator is _____. a. any sample statistic used to approximate a population parameter b. a sample statistic, which has an expected value equal to the value of the population parameter c. a sample statistic whose value is usually less than the value of the population parameter d. any estimator whose standard error is relatively small

Answers

Answer:

a) Any sample statistic used to approximate a population parameter.

Step-by-step explanation:

An unbiased estimator is any sample statistic used to approximate a population parameter.

In mathematics, the bias of an estimator refers to the difference between the true value of the parameter being estimated and the estimator’s expected value.

If a statistic is not an underestimate or overestimate of the population parameter, then it is unbiased.

That is why an unbiased estimator is an accurate sample statistic used to approximate a population parameter.

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