A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Cooper grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.

Answers

Answer 1

Answer:

42 feets

Step-by-step explanation:

We consider the right-angle triangle with B being the right-angle:

AB = 24 ft ; AC = 45 ft

We can use the Pythagorean theorem:

[tex]AB^{2} = AB^{2} + BC^{2} \\45^{2} = 24^{2} + BC^{2} \\BC^{2} = 2025 - 576\\BC = \sqrt{1449} = 38[/tex]

The distance between the wall and the ladder is 38 feet.

Pulling the ladder away from the wall is adding 4 feet to the distance between the wall and the ladder.

38 + 4 = 42

The ladder is now 48 feet away from the wall at its bottom.


Related Questions

Oliver read for 450 minutes this month. His goal is to read for 10% more minutes next month.
If Oliver meets his goal, how many minutes will he read in all during the two months?
Oliver will read __minutes in the 2 months.

Answers

Answer:

495 min

Step-by-step explanation:

Answer:

945 minutes

Step-by-step explanation:

The first step is to find 10% of 450:

[tex]\frac{10*450}{100*1}[/tex]

10 times 450 is 4500 and 100 times 1 is 100

Then 4500 divided by 100 and the answer is 45 minutes.

After that add that 10% of 450 ( 45 ) to 450 to find the minutes he reads in the next month and the answer is 495 minutes.

So because you want the time he read in the two months add 450 and 495 tp get:

450 + 495 = 945

So Oliver read for 945 in the 2 MONTHS.

HOPE IT HELPED

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of planet Venus from the Sun is 1.1 ⋅ 108 kilometers. About how many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun?

5.2 ⋅ 107 kilometers
4.7 ⋅ 108 kilometers
5.2 ⋅ 108 kilometers
5.7 ⋅ 109 kilometers


I NEED THIS ANSWER ASAP

Answers

Answer:

5.2

Step-by-step explanation:

distance(Mercury, Sun) = 5.8 x 10^7

distance(Venus, Sun) = 1.1 x 10^8

distance(Venus, Mars) = 1.1 x 10^8 - 5.8 x 10^7

The subtraction is a little easier if you borrow a power of 10 from the 10^8, multiplying 1.1 by 10.

simply subtract 5.8 from 11.0.

This gives us a result of 5.2 x 10^7.

Answer is 5.2 hope that helps

NEED HELP ASAP!!!! WILL MARK BRAINLIEST

Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points
(2, -1) and (10, 7).


y = _x+ _

Answers

Answer: y = 1x -3

The 1 is not necessary so

y= x - 3

Step-by-step explanation:

(y- y1) = m(x -x1). First

Substitute y and x-values from the given coordinates and solve for x.

7-(-1)=m(10-2)

8 = m(8) 8/8=1 T

m= 1 The slope, m is 1

Then substitute values of y and x from either given coordinate into the equation and solve for b, the y-intercept.

y=mx+b

-1= 1(2)+b

-1=2+b subtract 2 from both sides.

-1-2 = b

-3 = b

OR

7= 10 + b

-10 +7 = b

-3 = b

Finally, write the equation with the values for m and b

y = 1x +(-3) Simplify & Rewrite

y= x - 3

y=1x-3


cfhswrjhsisjbrvrf

Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.

4 (3 w + 4) 16 w + 12

Which statements are true? Check all that apply.
A The value of both expressions when w = 1 is 28.
B The two expressions are equivalent.
C The value of both expressions when w = 1 is 16.
D The two expressions are not equivalent.
E The value of both expressions when w = 3 is 52.
F The value of both expressions when w = 3 is 60.

Answers

The answer is A and D

Solve for the value of q.

39°

(4q-5)°

Answers

Since there is a box at the corner of the angle, that means that angle is 90°. So, we can add the 2 values given to us and set them equal to 90°.

39+4q-5=90

Now we can combine the 2 like terms on the left side of the equation.

34+4q=90

Now we subtract the 34 from 90

4q=56

Now to get q by itself (find the value of q) we divide the 4 from both sides and we get our answer.

Answer: q=14

Hope this helps :)
answer is q=14! hope this helps :D

Can someone plsssss help

Answers

Answer:

12

Step-by-step explanation:

a2 +b2 = c2

a2 + 9 2 = 15 2

a2 + 81 = 225

     - 81    - 81

a2 = 144

 a = 12

A=12 I hope this helps and this is definitely correct

Write the equation of the line with slope 1 and y-intercept 5.

Answers

Answer:

Slope intercept form;

y = mx b

where y is the dependent variable and x is the independent variable

m is the slope

and b is the y - intercept

So if we just plug in what we have;

Slope of 1x and a y - intercept of 5, we would get:

y = 1x + 5

Y=1x+5 is gonna be your answer

20+20+20+20+20+20+20+20+20+/245+85678345+8657

Answers

use a calculator ;v;

85687427 because I used paper and u could of just added it

Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.

What is the input?
O- the monthly withdrawal
O- the number of months
O- the balance of the account
O- the starting amount in the account

What is the output?
O- the monthly withdrawal
O- the number of months
O- the balance in the account


What are the two points described in the real-world scenario?
O- (442, 5) and (226,13)
O- (5, 226) and (13, 442)
O- (5, 442) and (13, 226)
O- (442, 13) and (226. 5)

Answers

Answer:

input= starting amount

output= withdrawals

(5,442) and (13,226)

Step-by-step explanation:

for input its what you put in the account for output its for what you take out.

And for the two points it the months first then you put how much money was left .

Hope this helps!

PLS!! HELP ASAP I WILL GIVE BRAINLIEST. write the correct answer
pic is not blurry not excuses

Answers

Answer:

there is more spread in the math one

the answer is "there is more spread in the math one"

Pls answer question. Show working

Answers

Answer:

-2x + 5

Step-by-step explanation:

y-5= -2(x-0)

y= -2x + 5

Answer:

it would be y=-2x+5

Step-by-step explanation:

The quiz grades for ten students were used to make the box plot shown above. Which of the following is the median quiz grade?

A.

81

B.

95

C.

57

D.

71

Answers

Answer:

81

Step-by-step explanation:

The length of a cell phone is 1.8 inches and the width is 4.8 inches. The company making the cell phone wants to make a new version whose length will be 1.62 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answers

Answer: 4.32 inches

Step-by-step explanation:

OLD PHONE:

L= 1.8 inches

W= 4.8 inches

NEW PHONE:

L= 1.62 inches

W= ?

1.62÷1.8=0.9

4.8x0.9= 4.32

I hope this is correct!!

Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

How many yards of ribbon does Marcella have left?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

6 [tex]\frac{1}{12}[/tex] (6 1/12)

Question explanation:

First: 9 [tex]\frac{3}{4}[/tex] (9 3/4)

Convert any mixed number to fractions.

Then you initial equation becomes:

[tex]\frac{49}{4} - \frac{5}{2}[/tex]

(49/4 - 5/2)

Applying the fractions formula for subtraction,

(49 x 2) - (5 x 4)

4 x 2

98 - 20

8

= [tex]\frac{78}{8}[/tex]

(78/8)

Simplifying 78/8, the answer is:

9 [tex]\frac{3}{4}[/tex]

(9 3/4)

Second: 5 [tex]\frac{3}{4}[/tex] (5 3/4)

Convert any mixed numbers to fractions.

Reduce fractions where possible

Then your initial equation becomes:

39 - 4

4 - 1

Applying the fractions formula for subtraction.

(39 x 1) - (4 x 4)

4 x 1

39 - 16

4

= [tex]\frac{23}{4}[/tex] (23/4)

Simplifying 23/4, the answer is

5 [tex]\frac{3}{4}[/tex]

(5 3/4)

I hope this is correct, goodbye! - Answered by Lilo

Answer:

[tex]6\frac{1}{12}[/tex] yards

Step-by-step explanation:

Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

The amount ribbon she had at the beginning: [tex]12\frac{1}{4}[/tex]

The amount she used: [tex]2\frac{1}{2} +3\frac{2}{3}\\[/tex]

Our expression: [tex]12\frac{1}{4} -(2\frac{1}{2} +3\frac{2}{3} )[/tex]

LCM of 2, 3, and 4: 12

2:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

3:

3, 6, 9, 12, 15, 18

4:

4, 8, 12, 16, 20

[tex]12\frac{1}{4} -(2\frac{1}{2} +3\frac{2}{3} )\\\\\frac{4*12+1}{4} -(\frac{2*2+1}{2} +\frac{3*3+2}{3})\\\\\frac{49}{4}-(\frac{5}{2}+\frac{11}{3})\\\\\frac{147}{12}-(\frac{30}{12}+\frac{44}{12})\\\\\frac{147}{12}-\frac{74}{12}\\\\\frac{73}{12}\\\\6\frac{1}{12}[/tex]

Therefore, Marcella will have [tex]6\frac{1}{12}[/tex] yards of ribbons left.

Hope this helps!

Raven plans to increase the price of each item in her store by 10%. Which the following sets of steps could Raven use to find the new price of each item. Place a checkmark in the box next to each correct set of steps.

A. Multiply the price of each item by 10%
B. Multiply the price of each item by 1.1
C. For each item, multiply its price by 0.1 and then add that product to the original price of the item.
D. Multiply the price of each item by 0.9
E. For each item, divide the price by 10 to find 10% of the item and then multiply that quotient by 11 to find 110% of the origional price.

Answers

Answer:

Step-by-step explanation:

B is correct as 1.1 = 110%

C is correct as adding (0.1 multiply original price) = 1.1 = 110%

E is correct as dividing original price by 0.1 then multiplying by 11 = 1.1 = 110%

Correct Answer: B, C

Choice A only finds the amount that is increased by, not the new price

Choice D is if the original price is discounted by 10%

The second part of Choice E does not make sense

Basically, here is how you find the new price:

Let the original price be x.

New Price = x * (1 + 10%) = x * (1 + 0.1) = x * 1.1

i will brainliest, to the most helpful

Answers

Answer:

A

Step-by-step explanation:

because the answer has the little information that was given to you on the blueprint

plea solve i will give brainliest

Answers

Answer: What is half of each top number?

Step-by-step explanation:

This is your answer. use a calculator it might help. Type 3.1 / 2. thats the answer to the first block. then look at block 5. 0.14. the block below is 0.7. 14/ 2 is 7. 7x2 is 14. Hope this helps

Answer:

Use a calculator

Step-by-step explanation:

The figure below is divided into 100 small squares of equal size.
How much of the figure is shaded?
Give the amount as a fraction and as a decimal.

Answers

60/100 / 60 are shaded out of the hundred. Simplified would be 3/5. The decimal would be 0.6.

Answer:

Fraction: 6/10 Decimal: 0.6

Step-by-step explanation:

There are 100 blocks and 60 are shaded. If you take the last zero off of both numbers you get 6 and 10. The larger number is the denominator because the denominator is always larger otherwise its an improper fraction. That leaves the 6 as the numerator so there is your fraction. Next, just convert it into a decimal as you're done!

Write an equation using h for the variable and solve: The area of a triangle is 1/2bh. Find the height if the total area is twenty-eight square millimeters and the base is eight.

Answers

Answer:

The height is 7

Step-by-step explanation:

[tex]H = 2\frac{28}{8}\\\\H = 2 * \frac{28}{8} \\\\H = 2 * 3.5\\H = 7[/tex]

I hope this helps :)

what is the measure of angle x°

Answers

Answer:

75

Step-by-step explanation:

75 because it’s just us

Jess is mailing a jewelry box with sides that are 8 inches long. What is the volume of the shipping box?

Answers

Answer:

48 inches

Step-by-step explanation:

the box has 6 sides so 8 x 6

Answer: 48

Step-by-step explanation: 48

What is the product of 7 Over 9 and One-fourth?
7 Over 36
8 Over 36
7 Over 13
8 Over 13

Answers

Answer:

7 over 36

Step-by-step explanation:

You just multiply side by side

Answer:

[tex]\frac{7}{36}[/tex]  7/36

Step-by-step explanation:

in order to find the product of 2 fractions you need to first make sure that they both have common denominators. in order to find the common denominators you need to find the LCM (lowest common multiple) of the two denominators

so 7/9 and 1/4 the lcm of 9 and 4 is 36

[tex]\frac{7}{9}[/tex] x 4 = [tex]\frac{28}{36}[/tex]     [tex]\frac{1}{4}[/tex] x 9 = [tex]\frac{9}{36}[/tex]    28/36 x 9/36 = 28 x 9 = 252/36 = 7 /36        

hope that helps :)

The equation y = 16.50x describes the amount of money Joey earns, where x is the number of hours he works and y is the amount of money he earns.
The table shows the amount of money Kaylee earns for different numbers of hours worked.
Kaylee’s Earnings
Time (h) 2 5 8 10
Money earned ($) 39 97.50 156 195
(a) How much money does Kaylee earn per hour? Show your work.


(b) Who earns more per hour? Justify your answer.

Answers

Answer:

(a)19.5 per hour

(b)Kaylee earns more per hour.

Step-by-step explanation:

a.) To find the unit rate/hourly rate :

39÷2=19.5 per hour.

b.)Kaylee eanrs more considering that Joey earns 16.50$ per hour as opposed to 19.50$ per hour.

Answer:

(a) Kaylee earns $19.50 per hour.

(b) Kaylee earns more money per hour than Joey.

Step-by-step explanation:

x = # of hrs. worked

y = amount of money earned

Joey:

y = 16.50x

Kaylee:

Time (h) 2, 5, 8, 10

Money earned ($) 39, 97.50, 156, 195

y = mx + b; Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We will be using: (2,39) and (8,156) to find the slope of this table.

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{156-39}{8-2} \\\\m=\frac{117}{6} \\\\m=19.5[/tex]

y = mx + b

y = 19.5x + b

I will be using (2, 39) to find the value of b

(2, 39)

y = 19.5x + b

39 = 19.5(2) + b

39 = 39 + b

-39  -39

0 = b

y = 19.5x + b ==> y = 17.7x + 0 =  OR  y = 19.5x (since the value of b is 0)

(a) The question wants us to find out how money Kaylee earns per hour. Recall that x = # of hrs. worked and y = amount of money earned.

y = 19.5x

She earns $19.50 per hour.

(b)

Joey: y = 16.50x (earns $16.50 per hour)

Kaylee: y = 19.5x (earns $19.50 per hour)

As you can see, Kaylee earns more money per hour than Joey.

Hope this helps!

Which point is not on the graph of the function y = x - 4?

(5, 9)
(234, 230)
(7, 3)
(12, 8)

Answers

Y=x-4
(5,9)
X Y

9=5-4
9 = 1 <— wrong
Point (5,9) will not be on the graph because when you substitute the point into the equation, 9 will never equal 1.

Option A is correct, (5, 9) is the point not on the graph of the function y = x - 4.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is y=x-4.

Let su check all the given points whether they are point of the given graph or not.

The point (5, 9) is not on the graph of the function  y = x - 4

Because when x = 5, y = 1, not 9.

The point (234, 230) is  on the graph of the function  y = x - 4

Because when x = 234, y =230

The point (7, 3) is  on the graph of the function  y = x - 4

Because when x = 7, y =3

The point (12, 8) is  on the graph of the function  y = x - 4

Because when x = 12, y =8

Hence, (5, 9) is the point not on the graph of the function y = x - 4.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Can someone pls help? Btw the x at the top is a whole one pls help if u ACTUALLY know the answer

Answers

Answer:

1/2 tablespoons

Step-by-step explanation:

Subtract 1/2 from 1, you get 1/2.

Answer:

There is more powder in a whole, one.

The least here is 1/2, because 3/4 is beyond halfway of 1 and 1/2 is exactly halfway.

So, we subtract the least from the greatest which is;

1 - 1/2 = 1/2

Directions- Solve the following problem and write your answer in scientific notation. The mass of the moon is about 7.3X10^22 kg. It would take approximately 26,000,000 moons to equal the mass of the sun. Determine the mass of the sun.

Answers

Answer:

Step-by-step explanation:

7.3×10^22 = 73,000,000,000,000,000,000,000

73,000,000,000,000,000,000,000 × 26,000,000 = 1,898,000,000,000,000,000,000,000,000,000 or 1.898 × 10^30

Brainlyyyy pleaseee of a like

I need a little help here please make it right :(

Answers

Answer:

-3 X 7= -21

Step-by-step explanation:

Answer:

3x7 is one of them

Step-by-step explanation:

Need help with math ASAP! Correct answer gets brainliest!
Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1.


a. from P to Q , 1 of 7.

greater than 1




b. from P to R , 2 of 7.

greater than 1




c. from Q to S , 3 of 7.

equal to 1




d. from Q to R , 4 of 7.

less than 1




e. from S to P , 5 of 7.

greater than 1




f. from R to P , 6 of 7.

equal to 1




g. from P to S , 7 of 7.

less than 1


Listen to the complete question

Tools are not currently accessible

Answers

Answer:

C

Step-by-step explanation:

I’m pretty sure the correct answer would be C hope this helps

Your favorite amusement park has two options. Option 1 charges an entrance fee of $55.00 plus $2.00 for each ride you go on. Option 2 charges an entrance fee of $15.00 plus $6.00 for each ride you go on. For what number of rides would the two options cost the same amount?

Answers

Answer:

10 rides

Step-by-step explanation:

x = number of rides

Option 1 = $55 + $2x

Option 2 = $15 + 6x

Ride #1 - Option 1 = $57 Option 2 = $21

Ride #2- Option 1 = $59 Option 2 = $27

Ride #3-  Option 1 = $61 Option 2 = $33

Ride #4- Option 1 = $63 Option 2 = $39

Ride #5- Option 1 = $65 Option 2 = $45

Ride #6- Option 1 = $67 Option 2 = $51

Ride #7- Option 1 = $69 Option 2 = $57

Ride #8- Option 1 = $71 Option 2 = $63

Ride #9- Option 1 = $73 Option 2 = $69

Ride #10- Option 1 = $75 Option 2 = $75
The answer is 10 rides to cost the same amount

Which sequences of transformations confirm the congruence of shape II and shape I?

a reflection of shape I across the x-axis followed by a 90° clockwise rotation about the origin

Answers

Answer and Step-by-step explanation:

A reflection of shape I across the y-axis followed by a 90° clockwise rotation about the origin

The sequence of transformations stated is correct.

First, the shape will be reflected across the y-axis. So essentially, make all the x-value points the opposite (turn positive values to negative, and negative values to positive; in this case, turn the positive x-values to negative x-values.)

Then, you rotate the figure 90 degrees counterclockwise (going up, not to the right on the graph, like how the minute and hour hand move around the clock.) The points will line up with shape II.

#teamtrees #PAW (Plant And Water)

I hope this helps!

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