A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.

Answers

Answer 1

Answer:

22.4 ft

Step-by-step explanation:

A 45 Foot Ladder Is Set Against The Side Of A House So That It Reaches Up 27 Feet. If Latanya Grabs The
A 45 Foot Ladder Is Set Against The Side Of A House So That It Reaches Up 27 Feet. If Latanya Grabs The
Answer 2

The side of the ladder from the house will be 22.4 ft far.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that a 45-foot ladder is set against the side of a house so that it reaches up to 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house.

The distance will be calculated as,

a² + b² = c²

a² + (39)² = 45²

a² = 45² - 39²

a=√504

a = 22.4 ft

Therefore, the side of the ladder from the house will be 22.4 ft far.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

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Related Questions

Matt made a trip to his friend's house and back. On
the trip there he drove 24 miles per hour and on the
return trip he went 30 miles per hour. How long did
the trip there take if the return trip took 4 hours

Answers

————>
24 mph (? hour trip there)
<————
30 mph (4 hour return trip)

If the return trip took 4 hours, then that means the total miles away would be 120. Matt was driving at 30 mph and drove for four hours, After multiplying 30 by 4, you will get 120. Once you’ve done that, you can do 120 divided by 24. Now that you know how many miles away his friend’s house is, you can estimate the time it took him to arrive by driving at 24 mph. 120 / 24 = 5

Answer: 5 hours

Help me please I'm very confused about this!

Answers

Answer:I think it's trying to find the area of which is a 5 times 2 = 10

Step-by-step explanation:

Stu invested $700 in a Cd. if the CD grows at a rate of %6 per year compounded annually, when will he double his money ?

Answers

Answer:16.66 repeating years

Step-by-step explanation: take 6% of 700 the divide 700 by that number to get how many years until he doubles his money then check by multpling 42 * 16.66 repeating

answer the picture first then answer my second question lot of points
The angle measures in a triangle are 25°, 135°, and 20°. What type of triangle is it?

A. isosceles triangle
B. obtuse triangle
C. right triangle
D. acute triangle

Answers

First is ec. Second is b

Answer:

ec and  obtuse triangle

Number Machine #1
We've built a machine that follows these instructions:
Subtract 1
Multiply by 3
If we put 6 into this machine, what will come out?
Subtract 1
Multiply by 3
Submit
6

Answers

Answer:

6-1=5 times 3 =15

Step-by-step explanation:

Alex spent $126.42 on new school clothes and supplies. If $86.23 of that was spent on supplies, what percent of what she spent on supplies?

Answers

Answer:

68%

Step-by-step explanation:

To find the percentage we are going to put the amount she spent on supplies over the total amount she spent and multiply it by 100.

= 86.23 ÷ 126.42 × 100

= 68.2% or 68%

SOMEONEEEE HELLPPPPPPP PLEASE?!??!

Answers

Answer:

(1,4)

Step-by-step explanation:

the Answer is: (x,y)=(1,4)

PLEASEPLEASE ANSWER

and if i get any more bots answering with links im gonna cry ive put this question 5 times

Answers

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

What is the area of the base?

Answers

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

[tex]A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2[/tex]

So the area of the base is 24 in²

Please help! Will give good rating

Answers

Answer:

88 ft²

Step-by-step explanation:

Find the area of the shaded region:

8x16= 128

Find the area of the un-shaded region:

5x4=20

20x2 regions= 40 ft² total

since the unshaded region is excluded from the shaded region subtract the area of the shaded region by the area of the unshaded region

128-40= 88

A= 88 ft²

Solve the following quadratic equation for all values of x in simplest form.
5x(x^2-4)+10=10
first person to answer right get branliest
people in com.ments who right get a tha.nks and fo.llow

Answers

Answer:

[tex]x=0,\:x=-2,\:x=2[/tex]

Step-by-step explanation:

Do you want me to explain it?

It doesn’t have the plus sign

Answers

+

there u go if that helps u can copy and paste it

Answer: +

Step-by-step explanation:

A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet five find the area of the base of the building

Answers

Answer:

18617.66 ft^2

Step-by-step explanation:

sides of triangular base

a=  145ft  ,

b = 257ft ,

c =  290ft

calculate the area of the base  

The base is a scalene triangle hence the area is calculated as follows

s = ( a + b + c ) / 2

  = ( 145 + 257 + 290 ) / 2 = 346

Area of triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{346(201)(89)(56)}[/tex]

                          = 18617.66 ft^2

HI ME AGAIN I WOULD APPRECIATE IF YOU CAN HELP

Answers

Answer:

75 students were surveyed!

Step-by-step explanation:

strawberry: 25

coffe: 35

vanilla: 10

fudge ripple: 5

Just add that all together

[tex]25 + 35 = 60[/tex]

[tex]10 + 5 = 15[/tex]

[tex]60 + 15 = 75[/tex]

so 75

Yesterday, the temperature at noon was 12.8⁰F. By midnight, the temperature had decreased by 14.3 degrees. What was the temperature at midnight?

Answers

Answer:

-1.5 degrees

Step-by-step explanation:

have a nice day,

finding area of circle with radius , giving brainliest :)) pls help asap

Answers

Answer:

number 2 is the answer or 4*pi inches² or 12.6

Step-by-step explanation:

Max has $156. He spends 2/3 of his money on groceries. How much money did he have remaining? Explain.

Answers

Answer:

$52

Step-by-step explanation:

first 2/3*156 and you get 104

Then you do 156 -104 and you will have your answer

Answer:

Max has $52 remaining

Step-by-step explanation:

[tex]\frac{2}{3}*\frac{156}{1} = \frac{312}{3} \\[/tex]

simplify [tex]\frac{312}{3}[/tex] by 3 to get [tex]\frac{104}{1}[/tex]

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

352 sq. inches

Step-by-step explanation:

32 x 22 = 704

704 / 2 = 352

Answer:

352 sq. inches

Step-by-step explanation:

The area of a triangle is found by the formula 1/2bh

aka 1/2 of base times height

the height is 22 and the base is 32 so we multiply 22 by 32

We get 704 but not the end we have to multiply that by 1/2 or divide by 2

Do that and you get 352

b=32      h=22

22*32=704

704/2 or 704*1/2 = 352

Hope I helped (p.s. brainliest?)

Please help me with this. I don't know how I can thank you, but I need this ASAP. More questions coming.

Answers

Answer:

The answer you have marked is correct

Step-by-step explanation:

The angles added together equal 360

Please someone help me... I have my state test tomorrow and I don't know how to do this.

Answers

Answer: 3.8

Step-by-step explanation:

First, solve 9.30 x 10^7 to find the length of an astronomical unit.

10^7 = 10000000

9.30x10000000=93000000 miles

next, solve for the distances the sun is from Jupiter and Mars,

10^8 = 100000000

1.42x100000000=142000000 miles

4.84x100000000=484000000 miles

next, subtract the distances

484000000-142000000=342000000 miles

then, divide the sum by 93000000 to find the amount in astronomical units.

342000000/93000000=3.677419

finally, round to the nearest hundred

3.68

Joey and her sister are helping remodel their parent's house.

They plan to carpet the bedroom which is 14 feet by 16 feet.

The carpet is priced at $1.90 per square foot.

How much can they expect to pay for the new carpet?

Answers

Answer:

They will have to pay $425.60

Step-by-step explanation:

14*16 equals 224 feet

224 feet times $1.90 equals $425.60

can Someone help me ​

Answers

Answer:

1. congruent

2. congruent

3. not congruent

4. not congruent

5. congruent

6. congruent

7. congruent

8. congruent

9. congruent

Step-by-step explanation:

Step-by-step explanation:

there you go I hope this helps you

HURRY ITS TIMED !!
Look at the table shown below:
х у
0 0
2 3
4 6
6 9
8 12

Determine the slope of the line that passes through the points.

ANSWER CHOICES

A. 1/2
B. 2/3
C. 2
D. 3/2

Answers

Answer:

D) 3/2

Step-by-step explanation:

(0 , 0 ) and (2,3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-0)/(2-0)

m= 3/2

Answer:

D. 3/2

Explanation:

Slope = y/x

once the variable x > 0 the table satisfies 3/2

Please help me with this it was due yesterday.

Answers

Answer:

domain= infinity on both sides.  range= -3<y<infinity

Step-by-step explanation:

hope this helps

Have a nice day :)

Find the area of the shaded region.

Answers

Answer:

60+4.5pi

Step-by-step explanation:

6×10 obv + area of circle pi(r^2) and half that for a semi cirxle

Answer:

9 π^2

Step-by-step explanation:

Let's just fined the area of the rectangle: Area= 2lw = A=60

Now, we know the diameter of the Spehre which is 10 -2 -2 = 6, the radius is half of that = 3

A=πr2 = A≈28.27

add A≈28.27 + 60 = 88.27 = 9 π^2≈88.82643

Writing Linear Equations


Two less than five times a number x is equal to 13. Solve for x.

Answers

Answer:

x = 3

Step-by-step explanation:

5x - 2 = 13  (write the equation)

5x - 2 + 2 = 13 + 2  (isolate the variable)

5x = 15

5x/5 = 15/5  (simplify)

x = 3

Answer:  x=3

Step-by-step explanation:

13=5x-2

13+2=5x

15=5x

x=15/5

x=3

A shipping container is in the shape of a right rectangular prism with a length of 5 feet, a width of 12.5 feet, and a height of 14 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

102 pounds

Step-by-step explanation:

Volume of Right rectangular prism = 12 * 8.5 * 4  = 408 cubic feet

Density = Mass / Volume

=>  0.25  = Weight of contents in container / Volume of container

=> 0.25 = Weight of contents in container / 408

=> Weight of contents in container  = 0.25 * 408

=> Weight of contents in container  = 102 pounds

Answer:

683lb

Step-by-step explanation:

Can someone explain this lol thanks Find the volume of the rectangular
prism.
4
3
9
[?] units

Answers

I’ll tell you the answer but first you gotta pay up with that brainliest answer then I’ll start talking (¬‿¬)

Are these similar and what is the reason?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Step-by-step explanation:

so I will that they are similar

Notebook costs $5,write an expression to show how much (n) notebook costs.

Answers

To find the total cost you would multiply the cost of a notebook by the number of notebooks purchased:

Total = 5n

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