How high up on a wall will a 20-foot ladder touch if the foot of the ladder is placed
4 feet from the base of the wall?

Answers

Answer 1

Step-by-step explanation:

by using the pythagoras theorem,

the height of the ladder touching the wall =

√(20²- 4²)

=√ (400-16)

=√384

= 86 feet

or 19.6 feet

Answer 2

Using Pythagorean theorem

[tex]\\ \rm\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \rm\longmapsto P^2=20^2-4^2[/tex]

[tex]\\ \rm\longmapsto P^2=400-16[/tex]

[tex]\\ \rm\longmapsto P^2=384[/tex]

[tex]\\ \rm\longmapsto P=\sqrt{84}[/tex]

[tex]\\ \rm\longmapsto P=19.6ft[/tex]

How High Up On A Wall Will A 20-foot Ladder Touch If The Foot Of The Ladder Is Placed4 Feet From The

Related Questions

Please walk me through how to solve these problems. If you can only solve one that’s fine, I just don’t know where to start. (This is geometry)

Answers

Answer:

5,-0.5 is the answer to the fist one

Step-by-step explanation:

they want you to give the middle point of the line segment when you have graphed the two end points,... find the coordinates of the point the would be in the middle,... Best of luck,... Chow

Evaluate 6a-b^2/2 + (b/a)^2 if a = 2 and b = 4.

2
6
10.25
36

Answers

[tex] \frac{6a - {b}^{2} }{2} + \binom{b}{a} ^{2} [/tex]

a=2 b=4

[tex] \frac{6(2) - {4}^{2} }{2} + \binom{4}{2}^{2} [/tex]

[tex] \frac{12 - 16}{2} + \frac{16}{4} [/tex]

[tex] \frac{ - 4}{2} + 4 [/tex]

[tex] - 2 + 4 = 2[/tex]

answer is option a 2

please mark this answer as brainlist

Solution of equation??

Answers

Answer:

[tex] \frac{3p}{5} - 15 = 3 \\ 3p - 15 = 15 \\ 3p = 15 + 15 \\ 3p = 30 \\ p = 10[/tex]

The ratio of the radius or diameter or circumference of a circle to its diameter or radius or circumference is approximately 3.14.

Answers

Answer:

the question is?

Step-by-step explanation:

3. You bought a shirt at regular price for $22 and a pair of jeans that are marked $42 but
are 25% off. How much will you pay with tax?

Answers

Answer:3

Step-by-step explanation:

The best answer is 3 !

Which is the domain of the function f(x) = -5/6(3/5)^x
= ?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0

Answers

Answer:

all the real numbers greater then 0

Simple interest on a certain sum is 16 by 25 of the sum. find the rate of interest and time is the both are numerically equal.​

Answers

Answer:

hence rate of interest is 8% and time 8 years

Step-by-step explanation:

Write the value of each expression in standard form. Expression Standard Forr 2hundres×10 in standard form​

Answers

Write it as a power of 10
200 x 10
2 x 10^2

The owner of a pool cleaning business wants to know how much time, on average, his workers
spend cleaning a pool. Last week, 7 employees each worked a 6-hour shift. In all, they cleaned
42 pools. Which is the most appropriate unit in which to calculate an answer to his question?

A. pools per employee
B. pools per day
C. employees per pool
D. hours per pool

Answers

Answer:

C. employees per pool...

C. Employees per pool, hope this helps

in a class 1/6 of a children are girls there are five girls in the class how many boys are there in the class

Answers

Hope it is helpfully.Have a nice day.

1) The endpoints of FCare (-2,-4 and G(1,0). Find the length of FG-

Answers

Answer:

it is [tex]5[/tex]

A recipe for fluffy slime calls for 3 3/4 cups of shaving
cream, 1/2 cup of glue, 1/2 teaspoon of baking soda
and 1 1/2 tablespoons of saline solution; this is
enough for 2 people. How much shaving cream
would you need if you were making enough slime
for ten people?

Answers

Answer:

75/4 cups (or 18-3/4 cups)

Step-by-step explanation:

2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream

10 people ----> requires 5 times the amount of shaving cream needed for 2 people

Hence shaving cream is needed for 10 people

= 5 x 3 3/4 cups

= 5 x 15/4 cups

= 75/4 cups (or 18-3/4 cups)

lemme know if it helped <3. and lemme me know if it's right :) .!

Samantha's car used 3 gallons to travel 51 miles. At what rate does the car use gas, in miles per gallon?

Answers

Answer:

17 miles per gallon

Step-by-step explanation:

Divide 51 by 3. Here's a better way to understand it:

Create a ratio to represent miles to gallons: 51-to-3

To find the ratio of miles per gallon, it's implying x miles for 1 gallon. To get this x value, you divide both sides by 3.

51/3 = 17miles/gallon

Write the following as an algebraic expression;
a) Half the sum of X and y
b) Half the cube of X subtracted from y​

Answers

Answer:

1/2(x + y)

Step-by-step explanation:

The sum of x and y is  x + y

1/2 the sum of x + y is 1/2(x + y)

1/2 x^3

This is subtracted from y

y - 1/2 x^3

a) When I add 8 the answer is 30.

Answers

Answer:

if we add 8 then the answer will be 30"

because

if 22is added 8 then it became 30

22+8= 30

simple

What’s equivalent too -4+y+4y-5x+2x-3

Answers

The simplified version of this would be 5y-3x-7. Hope this could help.

Hey there!

-4 + y + 4y - 5x + 2x - 3

COMBINE the LIKE TERMS

= (-5x + 2x) + (y + 4y) + (-4 - 3)

= -3x + 5y - 7

Answer: -3x + 5y - 7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

-1/2x3/5 divided by (-51/40)
plz help me simplify this

Answers

-4/17

Step-by-step explanation:

-1/2×3/5÷-51/40

= -1/2×3/5×40/51

=-4/17

I need this ASAP!!!! PLZ HELP!!! 20 points!!

Answers

Answer:

Third graph C.

Step-by-step explanation:

3a + 11 > 5

Subtract 11 from both sides

3a > -6

Solve for a

a = -6/3

a > -2

so a would be all numbers greater than -2
I think it’s the 3rd one I’m sorry if I’m not correct

Find the slope of the line going through the points (-10,0)
and (4,0)

Answers

Answer:

0

Step-by-step explanation:

To find the slope, we can use the slope formula

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

    = (0-0)/(4- -10)

    = (0-0)/(4+10)

    = 0/14

   =0

Which of the following is equivalent to 6.32x10^-3?
A. 0.632
B. 0.0632
C. 0.00632
D. 0.000632

Answers

Answer:

c. 0.00632

Step-by-step explanation:

Since 10 is raised to a negative 3, this means that the zeros come before the non-zero digits

C !

0.00632

Because 6.32 x 10^-3 = 0.00632

evaluate the following 1340five minus 242five​

Answers

Answer:

13405 -- 2425 = 10980

Step-by-step explanation:

Answer:

-----> 13405-2425= 10980

Brianna has saved $600 to buy a new tv If the tv cos $1800 and she saves $20 a week

Answers

60 days or 8.5 weeks

Step-by-step explanation:

1800-600=1200

1200/20=60

60/7=8.5

reflect point (-3,1) in the line y=5

Answers

Answer:

6 (4757)

Step-by-step explanation:

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
1.Write the linear equation that models the equation?
2.What is the cost per T-shirt?
3.What is the standard shipping and handling bag?

Answers

Step-by-step explanation:

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.

Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.

The second word problem is:

It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)

Cost= m x+b

x is the cost per shirt, b is the handling charge

295=40m+b

565=80m+b

subtract the first equation from the second:

370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b

One the second question,

Cost= variable cost * n + Fixedcosts or

cost= n*v+F

1250=500v+f

1050=100v+f

subtract the second equation from the first

200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.

5. Based on the graph of the trigonometric function,
what is the amplitudes

Answers

Amplitude is 3 from 0-3 or 0 to -3

Answer:

[tex]\displaystyle 3[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

AND

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

Accourding to the graph AND the above information, your amplitude is three units. This means each crest is extended three units beyond the midline of [tex]\displaystyle y = 0,[/tex] the centre of your graph, also known as the vertical shift. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

Now, just in case you wanted to know the equation(s) of this graph, look below:

[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]

I am delighted to assist you at any time.

The perimeter of a rectangular deck measured 130 m. What are the possible
dimensions of the deck?

Answers

Answer:

The possible dimensions of the deck can be anything that adds up to be 130 m.

Step-by-step explanation:

The perimeter could be 1m x 64m.

Two sides would be 1m each (so 2m total) and the other two sides would be 64m each (128m total). 2 + 128 = 130m.

The perimeter could be 15m x 50m.

Two sides would be 15m each (so 30m total) and the other two sides would be 50m each (100m total). 30 + 100 = 130m.

16. Which situation can be represented by y = 60x – 20?

A. The time remaining in minutes, y, for x hours after 20 minutes have past.

B. The cost, y, of buying x pairs of jeans for $60 with a 20% off coupon.

C. The cost, y, after buying raffle tickets for $40 each.

D. The number of seconds, y, in an x minute commercial if you skip the first 20 minutes.

Answers

Answer:

A is the right answer. so right it

2a + 9 = 4 then a = _______

Answers

Answer:

[tex]a=\frac{-5}{2}[/tex]

Step-by-step explanation:

[tex]2a+9=4[/tex]

[tex]2a=4-9[/tex]

[tex]2a=-5[/tex]

[tex]a=\frac{-5}{2}[/tex]

The first and second term of a linear sequence (A.p) are 3 and 8 respectively. Determine the least number of terms of the A.P that must be added so that the sum is greater than 250.​

Answers

We are to find the number of terms in the AP that has a sum greater than 250

The number of teams in the AP which has a sum greater than 250 is at least 11 terms

First term, a = 3

second term, a + d = 8

so

common difference, d = 8-3

= 5

let

n = number of terms in the AP

The sum of n terms is 250

Sum = n/2{2a + (n - 1)d}

250 = n/2{2*3 + (n-1)5 }

250 = n/2{6 + 5n - 5}

250 = n/2(1 + 5n)

500 = n + 5n²

5n² + n - 500 = 0

Solve quadratically using formula

n = -b ± √b² - 4ac / 2a

= -1 ± √1² - 4(5)(-500) / 2(5)

= -1 ± √1 - (-10000) / 10

= -1 ± √1 + 10000 / 10

= -1 ± √10001 / 10

= -1 + √10001 / 10 or -1 - √10001 / 10

= -1/10 + √10001/10

or

-1/10 - √10001 / 20

= 9.9005 or -10.1005

The value of n must be positive and a whole value

Therefore,

n = 9.9005

Approximately, n = 10

The number of teams in the AP which has a sum greater than 250 is at least 11 terms

Read more:

https://brainly.com/question/24321873

1. The quotient of a number and 6 is 12.

Answers

Answer:

2 is your answer

Step-by-step explanation:

6x2=12

Answer:

72

Step-by-step explanation:

[tex] \frac{x}{6} = 12 \\ x = 12 \times 6 \\ x = 72[/tex]

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