A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If Alonso grabs the ladder at its base and pulls it 5 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 25 ft.) Round to the nearest tenth of a foot.

Answers

Answer 1

Answer:

21.8

Step-by-step explanation:

Answer 2

The distance for the side of the house will the ladder reach now should be considered as the 21.8 ft.

Calculation of the distance;

Since first we have to determine BC i.e.

[tex]= \sqrt{50^2 - 30^2} \\\\= \sqrt{1600}[/tex]

=  40 ft

Now

In the case when Alonso grabs the ladder at its base and pulls it 5 feet farther from the house

So,

[tex]= \sqrt{(50)^2 - (45)^2} \\\\= \sqrt{475} \\\\= 5 \sqrt 19[/tex]

= 21.8 ft.

Learn more about base here: https://brainly.com/question/23854119


Related Questions

What is the area A B C or D

Answers

Answer:

         D.

Step-by-step explanation:

[tex]A=\frac{40^o}{360^o}\cdot \pi\cdot 10^2=\frac19\cdot100\pi=\frac{100}9\pi\, cm^2[/tex]

If x^2 =2” what is the value of x

Answers

Answer:

solution given:

x²=20

x=±√20 is your answer

Answer:

2

Step-by-step explanation:

[tex]x^{2} =20\\x= ± \sqrt{20}[/tex]

A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of rs 50 per box.He spent rs 40 on transportation.He sold the eggs at rs 12 per pair.Calculate his gain or loss%.

Answers

Given:

A  merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.

He spent Rs 40 on transportation.

He sold the eggs at rs 12 per pair.

To find:

The gain or loss percentage.

Solution:

The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:

[tex]12\times 50=600[/tex]

Number of eggs in 12 boxes is:

[tex]12\times 10=120[/tex]

He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:

[tex]600+40=640[/tex]

Cost of each egg is:

[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]

He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:

[tex]\dfrac{12}{2}=6[/tex]

We need to find the gain or loss percentage.

Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.

The gain percent is:

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]

[tex]Gain\%=12.5\%[/tex]

Therefore, the gain percent is 12.5%.

Victor bought a new soccer ball. The original price was $29.99, but the ball was on sale for 15%
off. What was the sale price?

Answers

Step-by-step explanation:

100-15=85%

85% × 29.99

=$25.49

Abby is buying a skateboard for $70 . The sales tax is 8% . Find the total cost of the skateboard , including sales tax

Answers

Answer:

First you need to multiply $70 and 8%, which will equal $5.60, and then you have to add it to $70, which will give you $75.60 . Abby would need to pay 75.60 dollars.

Step-by-step explanation:


Given the triangle
find the length of side 2 using the Law of Sines.

Answers

After much work and 12 pages of notebook paper the answer is 28

In hockey, Nick plays an average of 35 games per season. He finished the season with 47 goals. How many goals did he score per game?

Answers

Please answer my question andy
Nick would have scored about 1.34 goals per game.

47/35 = 1.34

will mark brainlist + 30 points .. please help asap!!

This probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Shoes
1
2
3
4
5
Frequency
12
20
38
20
10
Using this distribution, find the probability
that a teenager has exactly 2 pairs of shoes
in their closet.
p = [?]

Answers

Answer:

is 20 is your answer I believe

Answer:

p=2/20

p=1/10

the probability that a teenager has exactly 2 pairs of shoes is 1/10

Please help (;´༎ຶٹ༎ຶ`)

Answers

D, I’m pretty sure.




math help pls answer

Answers

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Pedro is ordering a scoop of ice cream. For the flavor, he is given the option of chocolate,
strawberry, or vanilla. For the size, he is given the option of small, medium, or large. For the
cone, he is given the option of a sugar cone, waffle cone, or cup. How many possible order
combinations are there?

Answers

Answer:

Hope this helps :D

The answer is 27(If i`m not mistaken)

Answer:

27 combinations

Step-by-step explanation:

There are options:

Flavor = 3Size = 3Cone = 3

Number of  possible combinations:

3*3*3 = 27

(I’ll mark brainliest ) The cross country running team is hosting their first home race and needs to plan and set up the course. The only tool available to record the distance measures in feet. If the course must be at least 3 miles but no more than 3.2 miles in length, what is the smallest and the largest number of feet they must walk in order to fulfill the requirements?

1 mile 5,280 feet.

Smallest:

Largest:

Answers

Answer:

Smallest: 15,840 ft

Largest: 16,896 ft

Step-by-step explanation:

1 mi = 5,280 ft

Setup proportion to solve for the smallest:

[tex]\frac{1mi}{5,280ft} =\frac{3mi}{xft}[/tex]

Do butterfly method and you should get this:

[tex]xft=3(5280)\\x=15,840ft[/tex]

Setup proportion to solve for the largest:

[tex]\frac{1mi}{5,280ft} =\frac{3.2mi}{xft}[/tex]

Butterfly method:

[tex]xft=3.2(5280)\\x=16,896ft[/tex]

Find the measurement of Dae need help fast​

Answers

Answer:

D = 80 degrees or (76+4) C And F are 70 i think

Step-by-step explanation:

abc or d ??!!!!!!!!!!!!!!! n

Answers

I think it’s c, I’m pretty sureeee

Which answer choice correctly complete the sentence? Asking the "Did you Check" questions is an important step in the Problem Solving Plan because you can A. determine if your answers are reasonable. B. organize your thoughts. C. understand the problem better. D. define your strategy easier.

Answers

Answer:

A

Step-by-step explanation:

Checking something is a way to see if your answer is reasonable.

Mguel sells nsurence. He earns a 6% commision on each sell he makes. Miguel has a goal of earning $600 in commisions. Miguel needs to sell what Worth of nsurence to meet his goal.

Answers

Answer:

$10,000= sales

Step-by-step explanation:

Giving the following information:

Commission rate= 6%

Desired total earnings= $600

To calculate the sales level required to reach the objective, we need to use the following formula:

Desired earning= commission rate*sales

600= 0.06*sales

600/0.06= sales

$10,000= sales

Can some please helppp!!!!

Answers

The answer should be acute and scalene. Sorry if I’m wrong though

Answer:

right scalene

Step-by-step explanation:

The triangle above it has a right degree angle which makes that triangle a right triangle because it shares the same line.

it is scalene because there are no angles or side that are equal to each other


A survey of a random sample of juniors shows that 12% are not planning to attend homecoming, and 88%
are planning to attend. The survey has a margin of error of t8%. What is the range for the percentage of juniors who are
going to homecoming?
F 4% to 20%
G 4% to 12% H 80% to 96%
J. 4% to 96%

Answers

Answer:

i would guess

Step-by-step explanation:

Which equation represents the relationship between s and t? A. s=1/7t B. s=7t C. s=t+2 D. s=t+18

Answers

Answer A

Step-by-step explanation: 2+2=22-55= -12-5= -7 then take away the negative then look outside and u should see a tree. Your final answer should be s=1/7t

A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours.

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

567 miles

Step-by-step explanation:

we break down how many miles he went in 1 hour

315/5

he went 63 miles in 1 hour

times this by 9 is 567 miles in 9 hours

Answer:

567 milesStep-by-step:we break down how many miles he went in 1 hour 315/5 he went 63 miles in 1 hour times this by 9 is 567 miles in 9 hours

Step-by-step explanation:

GET 30 POINTS IF YOU ANSWER!!! ASAP!!!
Which of the following are true statements? Select all that apply. (2 answers)
If sin A=0.35, cos A=0.94, sin B= 0.58, and cos B=0.81 what is sin(A+B)?

Answers

Answer:

0.93

Step-by-step explanation:

this is the correct answer you want please follow me and make me brainlist

What is the volume of the prisms

Pls help me im dying

Answers

Answer:

C.  3240 cm³

Step-by-step explanation:

Volume formula is:

V = Bh

Find base area first:

B = 6*1/2*12*10 = 360 cm²

Find the volume:

V = 360*9 = 3240 cm³

Correct choice is C

what does the picture represent?

Answers

Answer:

This is not a mathematics question. You should post this in History instead

Step-by-step explanation:

Answer:

During the civil war some tried to tear the country into 2, the north and the south. While the person on the middle is trying to keep the country together.

please help i will give brainlyest i promise

Answers

Answer:

the fist one

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i did the math

Ivan knows two sides of a triangle are 16 meters and 6 meters. What two values must the third side be between

Answers

Answer:

Third side lies between 10 & 22.

Step-by-step explanation:

Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.

So, letting third size be = x

Difference of two sides < Third side x < Sum of two sides

Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22

Hence, 10 < Third side x < 22

what percent of 71 is 177.5?

Answers

Answer:

250%

Step-by-step explanation:

177.5 / 71 = 2.5

2.5 x 100 = 250%

Divide the number (177.5) by the number you're trying to find the percent of (71) and multiply by 100 to find the percentage.

PLS HELP!!
Find the length of AB.

Answers

Answer:

About 9.4 units

Step-by-step explanation:

Mr. Smith ordered 27 boxes of baseballs. There were 30 baseballs in each box. How many baseballs did Mr. Smith order?

Answers

Answer:

27x30=810

Step-by-step explanation:

Answer: Mr.Smith ordered 810 baseballs

Step-by-step explanation:

To find the answer we need to:

1) Since, we know that Mr.Smith ordered 27 boxes and 30 baseball are in each of them. We need to multiply.

27 x 30 = 810


solve for n: 3 x n = 2 x 9

Answers

Answer:

n = 6

Step-by-step explanation:

3 x n = 2 x 9

2 x 9 = 18

3 x n = 18

divide by 3 on both sides:

n = 6

hope this helped :)

Help please 34 points

Answers

Answer:

B is ans ..................

Answer:

B is the correct answer

Step-by-step explanation:

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