22 foot ladder is placed against a vertical wall of building with the bottom of the ladder standing on level ground 9 feet from the base of the building how high up the wall does the ladder reach

Answers

Answer 1

Answer:

20.1 feet

Step-by-step explanation:

We solve the above question using the Pythagoras Theorem

The Pythagoras Theorem =

Opposite² + Adjacent ² = Hypotenuse²

From the above question,

Opposite side = Height of the wall = x

Adjacent side = Distance from the base of the building = 9 feet

Hypotenuse = Length of the ladder = 22 feet

Hence:

x² + 9² = 22²

x² = 22² - 9²

x = √22² - 9²

x = √403

x = 20.0748599 feet

Approximately = 20.1 feet

Therefore, the height of the wall = 20.1 feet


Related Questions

2/5 of 146 as a decimals

Answers

I think it’s 58.4 I’m not sure if my answer is completely right . Just let me know if I’m right . Hope this can help

a=10t+0 find the y intercept

Answers

Answer:

0

Step-by-step explanation:

The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!

2 to the power of 6 times 9x if x=12

Answers

Answer:

[tex]6 {}^{2} = 36 [/tex]

[tex]x = 12[/tex]

[tex]9 \times 12 = 108[/tex]

[tex]108 \times 36 = 3888[/tex]

What is an equation of the line that passes through the points (4,-4) and (-4,-4)

Answers

Answer:

Step-by-step explanation:

Use the formula x-x1/x1-x2 = y-y1/y1-y2

Photos fast charges a fee of $2.50 plus $0.05 for each picture developed. Photos quick charges a fee of $3.70 plus $0.03 for each picture developed. for how many will the total cost be the same at each shop?

Answers

0.03x+0.08< 2.50 hope its right

The total cost will cost be the same at each shop for 60 pictures.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement.

Let for x number of picture, the total cost will cost be the same at each shop.

Total cost of x number of picture on Photos fast shop = $ (2.50 + 0.05x)

Total cost of x number of picture on Photos quick shop =  $ (3.70 + 0.03x)

according to the question:

(2.50 + 0.05x) = (3.70 + 0.03x)

0.05x - 0.03x = 3.70 - 2.50

0.02x = 1.20

x = 1.20 ÷ 0.02

x = 60

Hence, for 60 number of picture, the total cost will cost be the same at each shop.

Learn more about word problem here:

brainly.com/question/29027588

#SPJ5

Find The Area of the parallelogram...Explain.

Answers

Answer:

8x17=136, so the area is 136 inches squared.

Step-by-step explanation:

Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2

Answers

Answer:

C) -7/3

Step-by-step explanation:

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

m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6

simplify -14/6 to -7/3

Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.

Answers

Step-by-step explanation:

Given

diameter (d) = 9 ft

radius (r) = 9/2 = 4.5 ft

Area of the circle

= πr²

= 3.14 * ( 4.5) ²

= 3.14 * 20.25

= 63.585

= 63.59 ft

Hope it will help :)

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
A.What’s the difference in height between the pelican and the heron?
B.What’s the distance in height between the pelican.
C.what’s the difference in height between the pelican and the trout.
D.What’s the distance in height between the pelican and the trout.

Answers

Answer:

Step-by-step explanation:

Your answer

A = 73

B= 33

C = 40

D = 40

Mark it as Brainlist answer. Follow me.

Which of the following answers would have
no solution?
X=3
5=3
2=2

Answers

Answer:

no entiendo me explican que significa por fa

The answer to the following would be because the others are possible 5=3

Someone please explain how to get the answers

Answers

Answer:

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle A =40\degree [/tex]

[tex] m\angle D= \frac{1}{2} \times 80\degree [/tex]

[tex] m\angle D =40\degree [/tex]

Evaluate the expression. 6(3+5)/4

Answers

Answer:

12

Step-by-step explanation:

6(3+5)/4 add number inside parentheses

6(8)/4 multiply 6 and 8

48/4 divide

12

Hope this helped you!

The fisherman pays a contractor to repair his dock. The charges are $1200 for lumber, $60 for sales tax, and $750 for labor. The fisherman pays $260 down and finances the remainder. There is a finance charge of $41.06.

Answers

Answer:

Im guessing we have to add these, considering you did not put the rest of the question. In that case, the answer would be 2311.06

Step-by-step explanation:

Suppose that the function f(x)=3x+10 represents the cost to rent a movie for a month. Kim has $15. How many more dollars does she need to rent 8 movies?

Answers

Answer:

$19

Step-by-step explanation:

Given data

Cost of movie

f(x)=3x+10

Hence the cost of 8 movies is

f(x)=3(8)+10

f(x)=24+10

f(x)=$34

Hence the cost of 8 movies is $34, Kim needs extra

=34-15

=$19

A meteorologist found that the rainfall in Campbell during the first half of the month was 3/10 of an inch. At the end of the month, he found that the total rainfall for the month was 1/2 of an inch. How much did it rain in the second half of the month?

Answers

Answer: 1/5

Step-by-step explanation:

Let the amount of rainfall in the second half of the month be represented by x.

From the information given in the question, the equation formed will be:

3/10 + x = 1/2

x = 1/2 - 3/10

x = 5/10 - 3/10

x = 2/10

x = 1/5

Therefore, the answer is 1/5

It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hours per mile 1/8 mile per hour 8 miles per hour 1/8 hours per mile

PLEASE HELP, I DON'T UNDERSTAND THE WORDING​

Answers

Answer:

C. 8 miles per hour

Step-by-step explanation:

It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour

Distance of the track = 1 mile long

The speed of an object expresses the ratio of distance moved to time taken to cover the distance.

i.e speed = [tex]\frac{distance}{time taken}[/tex]

           = [tex]\frac{1}{\frac{1}{8} }[/tex]

           = 8

Speed = 8 mile per hour

Therefore, Diego's bike has a speed of 8 miles per hour.

h/6-1=-3 h=?


please help​

Answers

The answer is

[tex]h = - 12[/tex]

it will look like that,.

[tex] \frac{ - 12}{6} - 1 = - 3[/tex]

Answer:

h= -12

Step-by-step explanation:

h/6+1= -3

h/6= -2

h= -12

Eric and Kelsey each work after school to earn money. Eric charges $10, plus an additional $4 per hour to babysit. Kelsey charges $15, plus an additional $3 per hour to rake. Eric and Kelsey work the same number of hours. Which system of equations can be used to determine how many hours, x, they need to work to earn the same amount of money, y?

Answers

Answer:

the option 3 or c is correct

There are 6 balls. Half of the balls are blue. One ball is red. The rest are green. Write the fraction for the green balls.

Answers

2/6 of the balls are green or 1/3

Answer:

1/3 (Minimized) 2/6

Step-by-step explanation:

Find the measure of the arc or angle indicated.

Answers

Answer: The correct is 114

Step-by-step explanation: Hope this helps

Triangle WXY is similar to triangle RST.
AA.
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
Reflect across line PQ, then dilate with a scale factor greater than 1.
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
Rotate 90 degrees counterclockwise about point P, then dilate with a scale factor greater than 1.
Rotate 180 degrees clockwise about point P, then dilate with a scale factor greater than 0 and less than 1.

Answers

Answer:

Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one

Step-by-step explanation:

Answer:

Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.

B

Step-by-step explanation:

How do the 6s in 0.96 and 93.601 compare?
The value of the 6 in 0.96 is 100 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601.
The value of the 6 in 0.96 is 1100 the value of the 6 in 93.601.

Answers

Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.

Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.

Answer:

The value of the 6 in 0.96 is 110 the value of the 6 in 93.601

Step-by-step explanation:

question: find the value of t

Answers

Answer:

t = 5

Step-by-step explanation:

since those 2 angles make up 180 degrees turn it into an equation

20t + 5 + 15t = 180

combine like terms 20t + 15t = 35t

the equation is now 35t + 5 = 180

subtract 5 from both sides, 5 - 5=0, 180 - 5 = 175

35t = 175

now divide each side by 35, 35t/35 = t, 175/35= 5

t = 5

hope this helps :)

Answer:

5

Step-by-step explanation:

Line (which has the the equation)= 180

So,

15t + 20t + 5 = 180

35t + 5 = 180

35t = 180 - 5

35t = 175

t = 175/35

t = 5

Tan(x) *cos(x)*cos(x)= ( the answer should have sin only ) ASAP

Answers

This doesn't make any sense because you didn't give a value to cos like you did to sin.

Let me guess the actual question is tan(x)*cos(x) write this in term of sin.

Now from trigonometry identities, we know that tan(x)=sin(x)/cos(x)

So the expression can be written as sin(x)/cos(x)*cos(x)

which results in sin(x) as the answer, if I guessed the question wrong, sorry and please tell me in the comments what the correct question is, because this question doesn't seem complete :)

solve for x in : 5^{2x-1} =12^{x}

Answers

Answer:

x=2.192785

Step-by-step explanation:

52x−1=12x

log(52x−1)=log(12x)

(2x−1)*(log(5))=x*(log(12))

2x−1=(

log(12)

log(5)

)*(x)

2x−1=1.543959*x

2x−1=1.543959x

2x−1−1.543959x=1.543959x−1.543959x 1.543959x

0.456041x−1=0

0.456041x−1+1=0+1

0.456041x=1

0.456041x

0.456041

=

1

0.456041

0.456041)

x=2.192785

Answer:

x = 2.19

Step-by-step explanation:

Given that,

An equation, [tex]5^{2x-1} =12^{x}[/tex]

To find,

The value of x.

Solution,

We have,

[tex]5^{2x-1} =12^{x}[/tex]

Taking log both sides,

[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]

We know that,

[tex]\text{log}\ a^n=n\ \text{log}a[/tex]

So,

[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]

So,

[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]

So, the value of x is equal to [tex]2.19[/tex].

Reference,

https://brainly.com/question/14968632

Solve for x : 80 + x = 100 - 14

Answers

Answer:

x=6

Step-by-step explanation:

100-14=86

86-80=6

What is the slope and the y-intercept of a line whose equation is y=-4x-7
A. slope = -4; y-intercept = 7
B. slope = 4; y-intercept = -7
C. slope = -4; y-intercept = -7
D. slope = -7; y-intercept = -4

Answers

compare the equation with the formula y=mx+c and you will get the value of slope and the y intercept.

For example - y= 3x +4

On comparing y=mx+c  

We will get m= 3 and

y intercept = 4

Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. Write an equation to determine the cost of each bag of dog food
STEP IT OUT:

Answers

Answer:

7

Step-by-step explanation:

Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. How much money was each bag of the dog food?

example:

ositive numbers

numbers greater than zero

Negative Numbers

numbers less than zero

Integers

whole numbers and their opposites

Absolute Value

The distance a number is from zero on a number line. ALWAYS POSITIVE

equation

A mathematical sentence that contains an equals sign.

more examples:

9- (-9)=

18

121 / -11

-11

2(n + 5) = −2

-6

9

−9x + 1 = −80

253 + 234=

487

−15 = −4m + 5

5

8n + 7 = 31

3

Hope this helps bsf


What is the measure of arc FG?
PLEASE HELP , i’ll make BRAINLIEST

Answers

The measure of arc FG could be 108
The correct answer is 103 degrees (180-77) Since there is a line exactly in the half of the circle and we know that one portion is 77° so the remaining portion must be the difference of a half circle which is 180° minus the 77°.

(−3⋅10^3 )⋅(4⋅10^6)=???

Answers

Answer:

-1.19164 x 10^8

Step-by-step explanation:

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