Oakwood Cinema has a theater screen with a diagonal length of 66 feet. The ratio of the length to width is 19:10. What are the approximate dimensions of the screen to the nearest foot?

Answers

Answer 1

Answer:

height = 23 ft , Width=43ft

Step-by-step explanation:

Step one:

Given data

Given data

Diagonal = 66ft

Aspect ratio= 19:10

From the formulas below, we can find the dimensions of the theater screen

height = diagonal / √ (AR²+1)

where AR is the aspect ratio

Step two:

height = 66 / √ ((19/10)² + 1) =

height = 66 / 2.9

height = 23 ft

Step three:

Also,

width = AR * height  

width = (19/10) * 22.75

width =1.9* 22.75

Width=43ft


Related Questions



Question: What is the the total area of the kitchen floor?

Answers

Answer:

56

Step-by-step explanation:

If we split this figure to 2 parts, we figure the area based upon this composite figure.

1 figure is 10x4(rectangle)

the other figure is a 4x4 square (Note we subtract 8 by 4 because we don't want overlapping area)

After that we find the area of those to figures then we add them up

(4x4)+(10x4)

16+40

56

Juanita's car has a gas mileage of 24 miles per gallon how many miles can Juanita's car travel on 4 gallons of gas
[tex] \frac{?}{?} \times \frac{ \frac{}{?} }{?} [/tex]
please help

Answers

Answer:

her car can travel for (24 * 4) miles

which is

96 miles

Answer:

96 miles

Step-by-step explanation:

As it's 24 miles each gallon so , therefore 4 x 24 = 94

what a ratio of 4 days to 36 hours​

Answers

Answer:

4:36

24 x 4:36

96:36

8:4

1day = 24 hours

Step-by-step explanation:

PLEASE HELP ITS URGENT. I’ll give lots of points who helps !! Please

Answers

Answer:

D:21

Step-by-step explanation:

Use the vertical angles equation.

4x + 13 = 5x - 8

Subtract 4x from 5x.

5x - 4x = x

13 = x - 8

Add 8 on both dies.

13 + 8 = 21

x = 21

JKLM has x that equals 21.

<JKLM and <LMJK equal 97 degrees.

Hope it helped!

Answer:

The answer is D:21

Step-by-step explanation:

make sure you use the right angles in the right order when solving for your answer...

4x+13=5x-8

5x-4x=x

13=x-8

add 8 on each side

x=21

20 POINTS (Again) Helppp Hurry!!

Answers

Answer:

6

Step-by-step explanation:

Answer:

m∠5=34°

Step-by-step explanation:

angle 1 is a corresponding angle to angle 5 therefore they are congruent

work out the value of 10^4

Answers

Answer: I have a feeling that the answer is 10,000.

Hi, can you please help me? 1 Over a period of 3 hours, 190 leaves fell from a tree. At this rate, about how many leaves fell every hour? (Round your answer to the nearest whole number.)

A. 60 leaves per hour

B. 72 leaves per hour


C. 75 leaves per hour


D. 63 leaves per hour
question 2:Mrs. Hill drove a total of 252 miles and used 12 gallons of gasoline. What is the unit rate?

A. 16 miles per gallon

B. 12 miles per gallon

C. 21 miles per gallon

D. 32 miles per gallon

Answers

Answer:

D.63 leaves

Step-by-step explanation:

Divide the given number of leaves by the time it took that many to fall

190/3=63.33 which rounds down to 63

Question #2

21 Miles per gallon

Divide the number of gallons by the amount of gas to get miles per gallon.

252/12=21 miles per gallon

Applications of Probability Project: Zombie Apocalypse Adapted from "Are You Positive?" Learning Task in the Georgia Frameworks Zombies are on the loose! A group of researchers wants to be able to detect those who have contracted the zombie virus before they turn into zombies. Those who test positive will be quarantined for two weeks. If they show no signs of being a zombie, they will be freed. They have developed a simple test where they swab the person's ear (mouth would be too dangerous). They gathered 200 people of which 50 were known to be have the zombie virus. Of those who had the virus, 48 tested positive. Of those who did not have the virus, 135 tested negative 1. Based on the data presented above, do you think the test for zombieism is effective at detecting future zombies. Why or why not?

Answers

Answer:

Yes, it is a very effective test, having almost a 100% detection rate you wouldn't need much to improve upon except testing multiple times.

132 is what percent of 880

Answers

Answer:

Step-by-step explanation:

132 is what percent of 880? = 15.

There are 90 passengers on a commuter flight from SFO to LAX, of whom 27 are traveling on business. In a random sample of five passengers, use the binomial model to find the approximate hypergeometric probability that there is at least one business passenger.

Answers

Answer:

0.8401 = 84.01% probability that there is at least one business passenger.

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this question:

Samples of 5, so [tex]n = 5[/tex]

90 passengers, so [tex]N = 90[/tex]

27 traveling on businnes, so [tex]k = 27[/tex]

Probability that there is at least one business passenger.

Either none are on business, or at least one is. The sum of these probabilities is 100% = 1.

Probability of none on business:

[tex]P(X = 0) = \frac{C_{27,0}*C_{63,5}}{C_{90,5}} = 0.1599[/tex]

Probability of at least one business passenger:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1599 = 0.8401[/tex]

0.8401 = 84.01% probability that there is at least one business passenger.

Josue has 3 chicken pot pies that he cuts into thirds. How many-size chicken pot pies pieces does he have? 2.

Answers

Answer: 9

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

the answer is 162

(to add more letters)

Which is the simplified form of ,-7 +5-12?

12
0 - - s12
s12
0 +11
s12

Answers

0- - s12 of -7+5-13
Yeah I think

The National Household Travel Survey gathers data on the time of day when people begin a trip in their car or other vehicle. Choose a trip at random and record the time at which the trip started. What probability should replace the "?" in the table?

Time of Day 10PM- 12:59AM 1AM- 5:50AM 6AM- 8:59AM 9AM- 12:59PM 1PM- 3:59PM 4PM- 6:59PM 7PM- 9:59PM
Probability 0.004 0.033 0.144 0.234 0.208 ? 0.123

a. 0.964
b. 0.379
c. 0.752
d. 0.218

Answers

Answer:

A probability of 0.254 should replace the "?" in the table

Step-by-step explanation:

We have the probabilities for the time of the day when each person begins a trip, during a 24-hour period.

The sum of these probabilities has to be 100% = 1.

The probabilities are of: 0.004, 0.033, 0.144, 0.234, 0.208, ?, 0.123

Since their sum has to be 1, we can find ?. So

0.004 + 0.033 + 0.144 + 0.234 + 0.208 + ? + 0.123 = 1

0.746 + ? = 1

? = 1 - 0.746

? = 0.254

A probability of 0.254 should replace the "?" in the table

Factor.
8xy - 54x^2 how to solve this

Answers

Factor 8xy is 128392

Simplify: 6√3 + 2√75 - 4√27
do you know the answer?

Answers

Answer:

4√3 or Decimal form 6.928203

Step-by-step explanation:

ofc i know the answer, ima different breed

A fifth grade teacher gives homework every night in both mathematics and language arts. The time to complete the mathematics homework has a mean of 30 minutes and a standard deviation of 3 minutes. The time to complete the language arts homework has a mean of 40 minutes and a standard deviation of 4 minutes. Assuming both distributions of homework time are Normally distributed, what is the probability that the average time it takes to complete both homework assignments is greater than 82 minutes?

Answers

Answer:

0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Math homework:

[tex]\mu_M = 30, \sigma_M = 3[/tex]

Arts homework:

[tex]\mu_A = 40, \sigma_A = 4[/tex]

What is the probability that the average time it takes to complete both homework assignments is greater than 82 minutes?

Here, we have a sum of normal variables. The mean will be the sum of the means, while the standard deviation is the square root of the sum of the variances. So

[tex]\mu = \mu_M + \mu_A = 30 + 40 = 70[/tex]

[tex]\sigma = \sqrt{\sigma_M^2 + \sigma_A^2} = \sqrt{3^2+4^2} = 5[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 82. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{82 - 70}{5}[/tex]

[tex]Z = 2.4[/tex]

[tex]Z = 2.4[/tex] has a pvalue of 0.9918

1 - 0.9918 = 0.0082

0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes

Which of the following options best represents the modulus of the fifth roots of √5 + 2i?

Answers

Answer:

Answer 3

Step-by-step explanation:

15) A store is having a sale during which all outdoor furniture is 45% off the original price, p. If

the post-sale price of an outdoor furniture set can be calculated using the expression p

0.45p, which expression also represents the price?

Answers

Answer and explanation:

Given that there is 45% off original price of outdoor furniture and price is represented by p

Discount on original price of outdoor furniture = 45% of p=0.45×p=0.45p

Therefore post sale price(after discount) of outdoor furniture can be represented by (1-0.45)p=0.55p

The class club has 20 members, 8 of which are girls. Write a ratio of girls to boys in simplest form

Answers

Answer: 2/3

Step-by-step explanation: 8 : 12 = 2 : 3 = 2/3

ASAP PLEASE!!!!!!!!!!!

Alexis borrows money to buy a new phone. She plans to pay back $301 in 7 months by paying the same amount each month. The total amount she needs to pay back is $645.


7 301

x 645

If she pays the same amount each month, how many months will it take Alexis to pay back $645? Let x represent the number of months it will take Alexis to pay back $645 at the given rate.


X= ___ months


Alexis decides that she wants to pay back the $645 three months sooner. She will need to pay back more each month than she originally planned. How much does Alexis need to pay each month to pay back the money 3 months sooner?

$___per month

Answers

1844 it’s the answer

Do not round your answer. Type in just the number.
35 is 25% of

Answers

Answer:

8.75

Step-by-step explanation:

35 * 0.25 = 8.75

Hope it helps you in your learning process

Answer:

35×25/100

35×0.25

8.75

can i have brainliest if it helped

Stay safe from the virus

Step-by-step explanation:

Solve the equation.
5/6b = 1 7/8

Answers

Step-by-step explanation:

5/6b=17/8

Cross multiple

40=102b

divide through by 102

b=20/51

(30 POINTS) Select the correct answer.
Which equation has no solution?

A. 1/2(8x + 6) -2x = -3(2x + 1)
B. -4(1/2x + 2) = -2x - 8 + 4x
C. 7(x + 2) - 3x = 2/3 (6x + 3)
D. -2x + 5 - 3x + 12 = -5(x - 3) + 2

Answers

Im pretty sure the correct answer is a

Answer:

C. 7(x + 2) - 3x = 2/3 (6x + 3)

Step-by-step explanation:

ANSWER FROM PLATO

When solving an equation, if the variable terms cancel out leaving different numbers on each side of the equal sign, then the equation has no solution.

Consider the following equation:

7(x + 2) - 3x = 2/3 (6x + 3)

   7x + 14 - 3x = 4x + 2

     4x + 14 = 4x + 2

             14 = 2

Therefore, the equation  has no solution.

Find the indicated probability. In one town, 71% of adults have health insurance. What is the probability that 4 adults selected at random from the town all have health insurance

Answers

Answer:

0.254

Step-by-step explanation:

Given that:

Percentage of those having health insurance = 71%

p = 71 / 100 = 0.71

Number of adults selected at random, n = 4

Probability that 4 selected have health insurance :

p^n = 0.71^4 = 0.25411681

= 0.254

Determine whether m(t)=(4/5)^t represents exponential growth or exponential decay. And Identify the percent rate of change.

Answers

Answer:

Step-by-step explanation:

exponential decay

rate of change: 20%

A rectangle and a square have equal areas. The length of the square is 9 cm.The rectangle has width 4 cm. What is the perimeter of the rectangular?

Answers

Answer:

Perimeter = 26 cm. Area =

Step-by-step explanation:

The rectangle has a width of 4 cm and the square has a length of 9. cm, so  to make them have the same area you make the length of the rectangle 9 cm and the square have a width of 4 cm.

then each shape will have two sides that are 9 cm and two sides that are                 4 cm.

Perimeter

9 + 9 = 18

4 + 4 = 8

18 + 8 = 26

the perimeter is 26 cm.

Area

9 x 4 = 36

the area is 36 cm.

Answer:

Width is 4cm and length is 20.25, so perimeter is 48.5

Step-by-step explanation:

Square has same length for each side

Area for the Square 9 x 9 = 81

So find another number that adds up to the area of the square

Area for Rectangle 4 x 20.25 = 81

Width for Rectangle is 4cm and length is 20.25, so perimeter is 48.5

Should be pretty easy if you have a calculator, It'll just take a couple more minutes :D

1) Oliver had collected 3/4 of the baseball cards he needs for a full set. What percent of
cards has he collected?

Answers

Answer: 75%

Explanation: 3/4 equivalent to 75%

Brainliest?!?!

I can’t do this I need help awser 1. And 2.

Answers

Number 1)2.5 Number 2)2.7

what do you add to 4 1/7 to make 8

Answers

The answer would be 27/7 or 3 6/7
(I’ll explain if you want me to)

Hope this helps

Have a great day/night
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