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
EastWind [94]
3 years ago
7

A 32m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 34m.

Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0
{34}^{2} - {32}^{2} = {x}^{2} \\ 1156 - 1024 = {x}^{2} \\ 132 = {x}^{2} \\ \sqrt{132} = x \\ 2 \sqrt{33} = x \\11.5 = x
You might be interested in
the average monthly salary of m male emploees and f female employees of a company is $2000. if the average monthly salary of the
Marta_Voda [28]

The average monthly salary of the female employees is $900.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement that equates algebraic expression  to other algebraic expressions or constants by an equal sign that helps to determine the value of unknown variables.

It is given that

the average of the monthly salary of female and male employees is $ 2000

Let the average monthly salary of the female employees is $b

It is again given that

The average monthly salary of the male employees is $(b +200)

so , the equation can be formed as

b + b + 200  = 2000

2b + 200 = 2000

2b = 2000 - 200

2b = 1800

b = $900

The average monthly salary of the female employees is $900.

To know more about Equation

brainly.com/question/10413253

#SPJ1

8 0
2 years ago
A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense he
Orlov [11]

Answer:

We conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

Step-by-step explanation:

We are given that in a 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field.

Among 264264 ​trials, the touch therapists were correct 105105 times.

<u><em>Let p = proportion that touch therapists uses a random guess method.</em></u>

Here, random guess means; p = 50%

So, Null Hypothesis, H_0 : p = 50%     {means that the touch therapists use a method equivalent to random guesses}

Alternate Hypothesis, H_A : p \neq 50%     {means that the touch therapists does not use a method equivalent to random guesses}

The test statistics that would be used here <u>One-sample z proportion statistics</u>;

                         T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p  = sample proportion of touch therapists were correct = \frac{105}{264} = 0.39

            n = sample of trials = 264

So, <em><u>test statistics</u></em>  =  \frac{\frac{105}{264} -0.50}{\sqrt{\frac{\frac{105}{264}(1-\frac{105}{264})}{264} } }  

                                =  -3.395

The value of z test statistics is -3.395.

<em>Now, at 0.05 significance level the z table gives critical value of -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the the touch therapists does not use a method equivalent to random guesses.

Yes, the results suggest that touch therapists are​ effective.

3 0
3 years ago
What is the quoteint of<br> 3/4 and 5/6
Novosadov [1.4K]

Answer:

9/10

Step-by-step explanation:

Very simple, Keep It, Change It, Flip it

Do 3/4 X 6/5 and you should get your answer

5 0
3 years ago
What is the expression for (3x-4y)-(-5x+y)
MrMuchimi

Answer:8x-5y

Step-by-step explanation:

(3x-4y)-(-5x+y)

Remove brackets

3x-4y+5x-y

Collect like terms

3x+5x-4y-y

8x-5y

6 0
3 years ago
Help please What is the simplified answer to <br> -x&lt; -29
jolli1 [7]

Answer:

x>29

Step-by-step explanation:

-x

Divide both sides by -1:

\frac{-x}{-1} 29

x > 21 is your answer.

8 0
3 years ago
Other questions:
  • How to calculate how many times greater a number is?
    15·1 answer
  • Given m||n, find the value of x.<br> +<br> m<br> (2x+6)º(x+9)<br> Someone please help?
    11·1 answer
  • How do I solve this
    8·1 answer
  • a circle has an arc of length 56 π that is intercepted by a central angle of 120°.what is the radius of the circle ?
    13·1 answer
  • Last spring Janessa made 30 to one cup serving of lemonade for a lemonade stand this year she will make two times the amount I l
    14·1 answer
  • Please help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
    12·2 answers
  • What is the measure of angle K?
    5·1 answer
  • Find the sum of the first 10 terms of the following series, to the nearest integer.
    10·2 answers
  • The St. Louis Cardinals defeated the Texas Rangers in the 2011 World Series in a thrilling 7game series. The matrices below show
    9·1 answer
  • Which undefined terms are needed to define parallel lines quizlet?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!