Miguel needs to fix a window screen that is 23 feet above the ground. A ladder leans against a building and forms a 75 degree angle with the ground. The angle where the building and ground meet is 90 degrees. The ladder he uses makes a 75° angle with the ground. What is the shortest possible length of the ladder if the top of it is 23 feet off the ground? Round to the nearest whole number. 6 ft 22 ft 24 ft 89 ft

Answers

Answer 1

Answer:

24

Step-by-step explanation:

i did it on edge

Answer 2

The shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

What is right triangle?

"It is a triangle in which one of the angle measures 90° "

What is hypotenuse?

"It is the longest side in the right triangle."

What is Pythagoras theorem?

"In right triangle, a² + b² = c², where c is hypotenuse and a, b are other two sides of the right triangle."

What is sine of angle?

"In right triangle for angle x, [tex]sin(x)=\frac{opposite~ side~ of~ angle~x}{hypotenuse}[/tex] "

For given question,

Consider the following figure.

In right triangle WXY, WX is 23 feet as a window screen is 23 feet above the ground.

WY represents the ladder.

that is the hypotenuse of right triangle WXY is the length of the ladder.

A ladder leans against a building and forms a 75 degree angle with the ground

⇒ ∠WYX = 75°

Consider the sine of ∠WYX .

[tex]\Rightarrow sin(75)=\frac{WX}{WY}\\\\ \Rightarrow 0.9659=\frac{23}{WY}\\\\ \Rightarrow WY=\frac{23}{0.9659}\\\\ \Rightarrow WY=23.81\\\\\Rightarrow WY\approx 24[/tex]

This means the hypotenuse WY is approximately 24 ft.

Therefore, the shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

Learn more about the hypotenuse here:

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Miguel Needs To Fix A Window Screen That Is 23 Feet Above The Ground. A Ladder Leans Against A Building

Related Questions

1. If the point (-5, -3) is translated 4 units to the right and 3 units down, what are the coordinates
of the new point? Write the algebraic expression that represents the translation.


Answers

Answer:

(-5 + 4, -3 - 3)

Step-by-step explanation:

"4 units to the right" requires ADDING 4 to the x-coordinate of (-5, -3):

(-5 + 4, -3).

"3 units down" requires SUBTRACTING 3 from the y-coordinate:  

(-5 + 4, -3 - 3), or (if simplified) (-1, -6)

Solve the following inequality. 21 ≤ -3(x-4) < 30

Answers

Answer:

[tex]-6<x\leq -3[/tex]

Step-by-step explanation:

The process of solving inequalities like this is similar to the process of solving equations. Isolate the variable x, and whatever you do to one side, do to the other sides.

1) First, distribute the -3 to the terms inside the parentheses:

[tex]21\leq -3(x-4)<30\\21 \leq -3x+12< 30\\[/tex]

2) Next, subtract 12 from all three sides:

[tex]21 \leq -3x+12< 30\\9\leq -3x<18[/tex]

3) Finally, divide all three sides by -3. However, remember that whenever you divide numbers on different sides by a negative number, you need to flip the signs to make them face the other way:

[tex]9\leq -3x<18\\-3\geq x>-6[/tex]

Thus, [tex]-3\geq x>6[/tex] is the answer. Normally, answers are written with the numbers going from least to greatest, so you could also write it like this and it would still be correct, too:

[tex]-6<x\leq -3[/tex]

Answer:

C. -6 < x ≤ -3

                     

Which of these best describes the location of (9,0) on a coordinate grid? Question 12 options: In Quadrant I In Quadrant II On the x-axis On the y-axis
Help quick!

Answers

Step-by-step explanation:

Quadrant I: Both values are positive.

Quadrant II: x-value is -ve, y-value is +ve.

On the x-axis: y-value is 0.

On the y-axis: x-value is 0.

The point (9, 0) has a y-value of 0.

=> It lies on the x-axis.

Supposed U = {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1} is the universal set and K = {-10, -8, -6, -4, -2}. What is K’?

Answers

Answer:

-9

Step-by-step explanation:

-9,

A taxi driver records the time required to complete various and the distance for each trip. The best-given fit line by the equation y=0.467x + 0.417, where y represents the distance miles, and x represents the time for the trip in minutes. Estimate the distance for a trip that takes 20 minutes, show your reasoning

Answers

Using the line of best fit, it is found that the estimated distance for a trip that takes 20 minutes is of 9.757 miles.

What does the line of best fit gives?

It gives the estimated distance in miles of a trip that takes x minutes, according to the following function?

y = 0.467x + 0.417.

In this problem, the trip took x = 20 minutes, hence the distance is given by:

y = 0.467 x 20 + 0.417 = 9.757 miles.

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Problem We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation E=\dfrac{17}{20}DE= 20 17 ​ DE, equals, start fraction, 17, divided by, 20, end fraction, D. How many euros have the same value as 111 U.S. Dollar? euros How many U.S. Dollars have the same value as 111 euro? dollars

Answers

Complete Question

We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

Answer:

a) 0.85 euros

b) 1.18 dollars

Step-by-step explanation:

The equation is given as:

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

E = 17/20D

D = 1 dollar

Hence:

E = 17/20 × 1

E = 0.85 euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

E = 17/20D

E = 1 euro

1 = 17/20D

D = 1 ÷ 17/20

D = 1 × 20/17

D = 1.1764705882 dollars

D = 1.18 dollars

a rectangular prism is 12cm long 6cm wide and 5 cm high what is the volume of the regtangular prism

Answers

Answer:you do length times width times height to get your answer.

Step-by-step explanation: do 12 x 6 x 5 to equal 360

please answer this question

Answers

Answer:

C, The marble is 3 times as likely to be black as it is to be white.

Step-by-step explanation:

The probability of a marble being drawn is:

number of marbles of that color/total number of marbles

Find total number of marbles

5+8+4+15= 35

So the probability of drawing:

white: 5/32

polka dot: 8/32

striped: 4/32

black: 15/32

The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.

The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.

The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.

The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.


Which table does NOT represent a linear function?

Answers

Answer:

table 4 does NOT represent a linear function

Step-by-step explanation:

HOPE IT HELPS ❤❤❤❤❤

Answer:

it's the one with 15,18,20,21

Step-by-step explanation:

Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant

The 2th term of The A.P is 7 and 9th term is 28, Find The comon difference and The first term.
help me please ​

Answers

Answer:

difference = 3, first term = 4

Step-by-step explanation:

given, a2 = 7

a9 = 28

wkt, a2 = a + d = 7

a9 = a + 8d = 28

- 7d = - 21

therefore d = 3

and wkt, d = a2 - a

a = 7 - 3 = 4

HOPE THIS HELPS

Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to o value after 12 years. How
much will your car be worth after 9 years?

c. What is the equation of the line?
A. y = 2300x + 27600
B.y=-2300x + 27600
C.y= -2300(9) + 27600
D.26700-12 = y

Answers

i think the answer is C

Answer:

b

Step-by-step explanation:

because its minus

i think

4x^2 - 12x - 3

what would the answer be if x = 7

Answers

Answer:

= 3 /2 ±  √ 3

Step-by-step explanation:

Answer : 109


Step-by-step explanation

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

Answers

Answer:

The inequality =

106 - 4x ≥ 70

The number of weeks =

9 weeks

Step-by-step explanation:

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

Let the number of weeks for Casey's dog to lose for 4 pounds be represented as: x

The goal weight = 70 Ibs

Hence:

70 Ibs = 106Ibs - 4Ibs ×x

106 - 4x ≥ 70

4x ≥ 106 - 70

4x ≥ 36

x ≥ 36/4

x ≥ 9 weeks

It would take 9 weeks for Casey's dog to lose 4 pounds per week and weigh 70 Ibs

Therefore:

The inequality =

106 - 4x ≥ 70

The number of weeks =

9 weeks

When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?

A. 6 percent increase
B. 9 percent increase
C. 10 percent increase
D. 90 percent increase

Answers

C it was a 10 percent increase

Answer:

C.

Step-by-step explanation:

There are 888 employees on The Game Shop's sales team. Last month, they sold a total of ggg games. One of the sales team members, Chris, sold 171717 fewer games than what the team averaged per employee. How many games did Chris sell? Write your answer as an expression.

Answers

Answer:

g/8 - 17

Step-by-step explanation:

Total number of employees = 8

Total games sold for last month = g

Average number of games sold per employee = Total games sold for last month / Total number of employees

= g / 8

Average number of games sold per employee = g/8

Chris sold 17 fewer games than what the team averaged per employee

How many games did Chris sell?

Number of games Chris sold = g/8 - 17

= g-136/8

= (g-136)/8

The expression which represent number of games Chris sold = g/8 - 17

Find the sum:
The blanks r subtraction signs

Answers

Answer:

[tex]8x^2+6x-17[/tex]

Step-by-step explanation:

All that we have to do is add the 3 and 5 so it's basically like combining like terms. So the first blank is 8.

Now we add the x and the 5x which is 6x, all we're doing is adding the x's.

Now we do add the two negative 10 and 7. So what is -10 + - 7 we add them normally but we'll still have the negative in front of them. So it's -17.

Solve. What is the 15% of 15?

Answers

Answer:

2.25

Step-by-step explanation:

Step-by-step explanation:

It is 2.25

Can someone help me please?

Answers

Answer:

It is growing by five! have a good day

Step-by-step explanation:

Answer:

it.is growing by 5.??????????????????????? ????????????????

In Gotham city the sales tax is 7.5%. What is the total tax collected (tax ONLY) on Batman’s purchase of $180 towards his new superhero suit?

Answers

Answer:

Before Tax Price: $180.00

Sale Tax: 7.50% or $13.50

After Tax Price: $193.50

Hope this helps love

Step-by-step explanation:

Find the zero of the function /(x) = 5x-3.

Answers

Answer:

3/5

Step-by-step explanation:

Set it equal to 0

5x-3=0

Then solve for x

5x=3

x=3/5

Check

5(3/5) - 3

3-3

0

i need help please i would do anything

Answers

The answer is

Step-by-step explanation:

Since there is 3 even numbers and 3 odd numbers it makes a 50/50 chance when spun once. If you spin it 60 times you will have spun it 30 times theoretically.

WHAT ARE THE MISSING SIDES??

Answers

Find workings in the picture

help please with his if you don't mind!!!!!

Answers

job one pays more. the rate is 18.75

What's the area of the quarter circle if the diameter is 3 inches?

Answers

Answer:

Area of the full circle(A)= pi*d^2/4

A=3.143*3^2/4

A=7.07in^2

Area of the Quarter of the circle(B)

B=1/4A

B=1.77in^2

Step-by-step explanation:

I need help it’s urgent please I would really appreciate it

Answers

Answer:

The entire race is 26.20 miles long.

Step-by-step explanation:

Given that:

Sam is 18.34 miles in the race.

This length represents the 70% of the entire length of the race.

Let,

x be the total length of the race.

70% of x = 18.34

[tex]\frac{70}{100}x=18.34\\[/tex]

0.7x = 18.34

Dividing both sides by 0.7

[tex]\frac{0.7x}{0.7}=\frac{18.34}{0.7}\\x=26.20[/tex]

Hence,

The entire race is 26.20 miles long.

can someone help me on this?!

Answers

9514 1404 393

Answer:

  D.  3 to 4

Step-by-step explanation:

The ratio ...

  blueberries : strawberries = (1/2) : (2/3)

can be changed to a ratio of integer by multiplying by the least common denominator: 6.

  = 6(1/2) : 6(2/3) = 3 : 4

Bill will randomly pick one marker a bag and one crayon from another bag.There are three red markers, 2 green markers , and 1 blue marker in the first bag.There are 2 brown crayons and 3 purple crayons in the bag. What is the probabilityt of picking a red marker and a purple crayon?

Answers

Answer:

i believe it is 2/6

Step-by-step explanation:

Answer:

red marker= 3/6

purple crayon= 3/5

Marie added 3 1/8 cup of all-purpose flour and 1/4 cup of whole wheat flour in the cake. She added 1/3 cup of sugar at also, how much flour she added in the cake ?

Answers

Answer:

3 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Maria only combined two different types of flour to the cake. Therefore, in order to find the total amount of flour she added we need to add these measurements together. First, we need to find a common denominator. We do this by multiplying the numerator and denominator of the amount of whole wheat flour by 2. This would be the easiest way of giving us the same denominator as the measurement for the all-purpose flour.

[tex]\frac{1 * 2}{4 * 2}[/tex] = [tex]\frac{2}{8}[/tex]

Now that we have the same denominators we can simply add both measurements together

3 [tex]\frac{1}{8}[/tex] + [tex]\frac{2}{8}[/tex] = 3 [tex]\frac{3}{8}[/tex]

whats 183.47 to the nearest 10th

Answers

Answer:

183.5

Step-by-step explanation:

To round 183.47 to the nearest tenth consider the hundredths’ value of 183.47, which is 7 and equal or more than 5. Therefore, the tenths value of 183.47 increases by 1 to 5.

183.47 rounded to the nearest tenth = 183.5

Scientific notation is written in the form a*10^n. What must be true about the a value?
It can't be longer than 2 digits
It has to be greater than 100
It must be positive
It has to be a single digit between 1 and 10

Answers

Answer:

It has to be a single digit between 1 and 10

It has to be a single digit between 1 and 10
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