Look at the model and answer the following questions

Answer:

The required height of the lighthouse is given as 160 ft tall.

Given that,

A scale model of a lighthouse has a scale of 1 in. : 8 ft. The scale model is 20 inches tall.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,

scale factor = 1 / 8 in per ft

Now,

The actual length of the lighthouse =  20 / [1 / 8]

                                                            = 20 × 8 = 160 ft

Thus, the required height of the lighthouse is given as 160 ft tall.

Learn more about Scale factors here:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

2/10

0.2

Answer:

Step-by-step explanation:

divide by 6

2k+8=-8

subtract 8 in both sides

2k=-16

divide by 2

k=-8

equal to -8

In order to solve for k you always want to try and isolate the variable (trying to get only k on one side of the equal sign). You can start of by distributing 6 into the numbers in the parenthesis. So 6 times 2k is 12k and 6 times 8 is 48. So in reality, you now have 12k+48= -48. Then you can subtract 48 from the left side to cancel it out. Note: you would not add 48 to cancel out the -48 on the right because you need a number on both sides of the equal sign. So once you subtract -48 from one side you must do it to the other so -48-48 is -96. Now you have 12k=-96. All you have to do now is cancel out the 12k but dividing since it is the inverse of multiplying. Divide 12 from both sides and -96 divided by 12 is -8.

So your answer is k=-8

Answer:

Since you must read 52 page per hour, and there is 2 hours to complete assignment, then you will do this:

52 + 52 = 104

You would be able to read 104 pages in 2 hours, which is less than 130, so you would NOT be able to complete the assignment.

Step-by-step explanation:

Hope it helps! =D

Answers for pictures 1, 2, &3

Question 1: P = 35 degrees

It is given to us that angles N and P are complementary.

Complementary angles means the sum of the angles = 90 degrees.

Because angles N and M are supplementary, meaning they = 180 degrees, you can subtract angle M from 180.

180 - M = N

180 - 125 = 55

N = 55 degrees

Now that we know N = 55 degrees, we subtract that from 90 degrees to find P for N + P = 90 degrees, so if we subtract 55 from 90 we will get the value of angle P.

90 - N = P

90 - 55 = 35

P = 35 degrees!

Question 2: Option 4

We are trying to figure out which angles are congruent to one another.

We can rule out option one, for angles 1 & 4 are supplementary meaning their sum = 180 degrees.

The same applies for options 2 & 3, leaving us with the correct answer, option 4. We can make sure this is true because angles 3 & 5 are alternate interior angles, and alternate interior angles of parallel lines are congruent.

Question 3: x = 5

The three different angles add up to 180 because they are a straight angle.

First, we need to find out what 9 and 10 are equal to.

To do so, we can subtract 85 from 180.

180 - 85 = 9x + 10x

9x + 10x = 95

Now that we have an equation, we can simplify to find the value of x.

9x + 10 = 95

19x = 95

Divide by 19 on each side to isolate the variable x

x = 5

Hope this helps!

Answer: 1/3 chapters

Step-by-step explanation:

3 chapters / 9 hours = 1/3

Answer:

1 false

2 true

3 true

4 true

Answer: x = 10

Step-by-step explanation:

Let's say that the unknown is x.

{2/5 = ?/25}

Step 1. 2/5 = x/25

Step 2. Multiply by 25 on both sides. 2/(5 * 25) = x/(25 * 25)

Step 3. 2 * 5 = x

Step 4. 10 = x

Step 5. Let's check the answer x; 2/5 = 10/25

Step 6. Simplify; 2/5 = (10/5) / (25/5)

Step 7. Check; 2/5 = 2/5

This answer is true

Answer:

let,x be mean

2\5=x\25

5x=50

x=50\5

x=10

Answer:

7 and 11 are the rates

Step-by-step explanation:

Answer:

angle FDE = 44 degrees

angle DEF = 66 degrees

angle FHG = 44 degrees

angle CDE = 63 degrees

angle BCE = 105 degrees

Step-by-step explanation:

first image

2x + 3x = 110

5x = 110

x = 22

angle FDE = 2x = 2(22) = 44

angle DEF = 3x = 3(22) = 66

angle FHG = 2x = y = 44

second image

2x - 21 + 42 = 3x - 21

42 = x

angle BCE = 3x - 21 = 3(42) - 21 = 105

angle CDE = 3y = 2x - 21 = 2(42) - 21 = 63

Answer:

3.47

Step-by-step explanation:

I believe its 3.47 because I'm dividing 8.4 ÷ 2.42 and got 3.471074380165289 and rounded it to the nearest cent which gave me 3.47.

Answer:

1st term: 5m  2nd term:9

coefficient= 5

constant=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st term: 5m  2nd term:9

coefficient= 5

constant=9

yw it is easy

Answer:

Step-by-step explanation:

b

Answer:the third one

Step-by-step explanation: 0.45 is just 45/100

Answer:

C.

Step-by-step explanation:

Can you click the crown on this answer please? Thanks!

Answer:

3.75 cups of sugar

Step-by-step explanation:

if he needs 2.5 times as much sugar as 1.5 cups of sugar, he needs

2.5x1.5= 3.75 cups of sugar

Answer:

Proportionality= Yes

Equation: y = 4x

Step-by-step explanation:

We can start by dividing the Y's by the X value across from it.

16/4

8/2

-8/-2

-16/-4

When we do this, every answer is the same. It ends up as 4. That means it is proportional in terms of

y = 4x and that's because the x value times 4 equals the y value

Answer:

9:14

Step-by-step explanation:

If the ratio of girls to students is 5:14, that means there are 9 boys for every 5 girls. Therefore, the ratio of boys to students is 9:14.

Answer:

9

Step-by-step explanation:

Girls = 5 out of 14

So, ratio of girls to total strength is 5:14

Boys = 14-5 = 9 boys

So, ratio of boys to total strength is 9:14

Ratio of boys is 9

Hope it helped. Pls mark me the BRAINLIEST!

Answer:

44% Option A

Step-by-step explanation:

Percent of people choosing bumper cars =

                                              [tex]\frac{NumberOfPeopleWhoChooseBumperCars}{TotalNumberOfPeople}[/tex] × 100%

                                            = [tex]\frac{22}{50}[/tex] × 100%
                                    Enter in calculator
                                            = 44%

Answer:

3/4 cup

Step-by-step explanation:

you have 1 1/4 cup for 20 cookies

if you divide them you will get 0.0625

0.0625 x 16 = 0.75

0.75 = 3/4

Answer:

3/4 cup of sugar

Answer:

x ≤ 26 only have 9 more players

Step-by-step explanation:

26 is the most amount of players you can have, hence less than or equal to. If you have 17 people, you can only have about 9 more players.

Answer:

x ≤ 26 only have 9 more players

Step-by-step explanation:

26 is the most amount of players you can have, hence less than or equal to. If you have 17 people, you can only have about 9 more players.

(1) Total No of families = 1500

Total No of families with 2 girls = 475

Probability of family being chosen at random having 2 girls = 475/1500 = P1 = 19/60

(2) Total No of families = 1500

Total No of families with 1 girl = 814

Probability of family being chosen at random having 1 girl = 814/1500 = P2 = 407/750

(3) Total No of families = 1500

Total No of families with no girl = 211

Probability of family being chosen at random having no girls = P3 = 211/1500

(4) P1 + P2 +P3

=19/60 + 407/750 + 211/1500

= 475 + 814 + 211/1500

=1500/1500

=1

Yes, the sum of there Probabilities does add up to 1

Answer:24 im pretty sure

Step-by-step explanation:

Answer: Can't see the questions clearly, also  3/4 x 1/3 is 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/5=2/10

Answer:

22

Step-by-step explanation:

"twelve more" means 12 plus something

"product of 5 and a number" means 5x

12+5x

12+5(2)

12+10

22

Since [tex]4^2 + 4^2 = (4\sqrt{2})^2[/tex], the angle formed by the sides is a right angle. Therefore, the garden is not a square.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

For this problem, we have that:

Applying the Pythagorean Theroem, the equality [tex]4^2 + 4^2 = (4\sqrt{2})^2[/tex] hold true, meaning that the triangle is in fact a right triangle.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

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