A 15 foot ladder leans against a house with the base of the ladder 4 feet from the house. How high, to the nearest foot, up the wall will the ladder reach? ​

Answers

Answer 1

Answer:

height of house to ladder reach is 14 ft

Explanation:

Given data

ladder = 15 ft

base = 4 ft

to find out

height of house

solution

we know this is triangle shape so we apply here

so we consider here x is ladder and y is base and z is height

so

by pythagoras theorem

z² + y² = x²

so here

z² = x² - y²

put value

z² = 15² - 4²

z² = 209

z = 14.45 = 14

so height of house to ladder reach is 14 ft

Step-by-step explanation:

Answer 2

The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.

a^2 + b^2 = c^2

a^2 + 4^2 = 15^2

a^2 + 16 = 225

a^2 = 209

a = 14.5 feet


Related Questions

Ming's school is selling tickets to a play. On the first day of ticket sales the school sold 8 adult tickets and 1 student ticket for a total of $95. The school took in $71 on the second day by selling 2 adult tickets and 7 student tickets. Define two variables for this situation. Write a system of equations to represent this situation. What is the price each of one adult ticket and one student ticket?

Answers

Answer:

Your answer.

8x + y = 95.........(1)

2x + 7y = 71........... (2)

Y = 95-8x........ (3)

Put this value in eq 2

Then x = 11

Put x value in eq 3

Y = 7

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

entre 4 grupos de un colegio recolectaron 200kg de papel para reciclarlo.el primer grupo recogio 60 1/4 kg el segundo 13 1/5 y el tercero 45,93 kg cuanto recogio el cuarto grupo? ​

Answers

Answer:

segun yo es asi no confies mucho en mi

Step-by-step explanation:

200 kg total de papel

primer grupo= 60kg

segundo= 13kg

tercero= 45.93

cuarto= x

si sumamos el total recolectado por los tres primero grupos

60+13+45.93

esto nos da

118.93

si en total se recgio 200kg de basura y tenemos que los tres primeros grupos recogieron 118.93, entonces solo queda restar el total menos lo recolectado

200-188.93= cuarto grupo

cuarto grupo=81.07kg

If the circumference of a circle is 62.8 feet what is the radius of the circle

Answers

Answer: r≈ 9.99ft

Using the formula

C=2 π r

Solving for r

r= C/2π = 62.8/2·π ≈9.99493ft

please simplfy 7x + 6 + 3x – 2 – 5x

Answers

Answer:

5x+4

Step-by-step explanation:

Answer:

5x + 4

Step-by-step explanation:

7 + 3 - 5 = 10 - 5 = 5x

6 - 2 = 4

5x + 4

Select all that apply.

Chandler can mow 2 lawns per hour. If L represents lawns and H represents hours, which of the following equations represent this rate relationship?
L = 2 × H
H = × L
H = 2 × L
L = × H

Answers

Answer:

L = 2 × H

Step-by-step explanation:

The amount of lawns mowed would equal 2 times how many hours because he can mow 2 lawns in a hour.

Answer:

mark other guy brainliest pls. good answer guy above my head

Step-by-step explanation:

Jada received a gift of $180. In the first week, she spent a third of the gift money. She continues spending a
third of what is left each week thereafter. Which equation best represents the amount of gift money g, in
dollars, she has after t weeks? Be prepared to explain your reasoning.

Answers

Answer:

180 minus 60 equals 120

Step-by-step explanation:

1/3 of 180 equals 60 so you would take 60 out of 180 to get 120 and 120 would be the amount that she spent the rest of the weeks

What are the zeros of f(x) = x2 - x - 30?
O A. x = 10 and x = -3
O B. x = 6 and x = -5
O C. x= -10 and x = 3
O D. x= -6 and x = 5

Answers

Answer:

B

Step-by-step explanation:

the x intercepts of this graph are -5 and 6

gradient of line 6x+2y+9=0​

Answers

Answer:

gradient = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c( m is the slope (gradient) and c the y- intercept )

Given

6x + 2y + 9 = 0 ( subtract 6x + 9 from both sides )

2y = - 6x - 9 ( divide the 3 terms by 2 )

y = - 3x - [tex]\frac{9}{2}[/tex] ← in slope- intercept form

with gradient m = - 3

Please help with 3 thank you!

Answers

Answer:

Step-by-step explanation:

Having some struggles with this:

Answers

The answer is the last one

Answer:

the 3rd one hope this helps

Step-by-step explanation:

(-3, -14) and (0, -9)

Answers

Answer: -26

Step-by-step explanation: hope this helps :)

Roberto earns $6.50 per hour. He worked 32 hours at the regular rate, 8 hours at a time and a half, and 8 at double time. How much did he earn?

Answers

Answer $390

Step-by-step explanation:

Answer:

$390

Step-by-step explanation:

First Roberto works 32 hours at 6.50 per hour. At that time, he earn 32*6.5 = $208. Then he works 8 hours at a time and a half. This means that his pay rate is 50% more, or 6.5*1.5 = $9.75 per hour. Since he worked 8 hours at this pay rate, he earns 8*9.75 = $78. And then he works 8 hours double time. This means his pay rate was doubled during that duration. 6.5*2 = 13, 13*8 = $104.

Total: 208 + 78 + 104 = $390

HELPPPP I DONT KNOW THE ANSWER PLEASE HELP ME

Answers

Answer:

IM PRETTY POSITIVE ITS B

PLS MARK BRAINLIEST

SORRY IF IM WRONG :P

Step-by-step explanation:

answer: B. 2x+3

h(x) = x+4
h(2x-5) = (2x-5)+4
h(2x-5) = 2x-1

h(h(2x-5)) = (2x-1)+4
h(h(2x-5)) = 2x+3

can someone please explain number 5? please help merely if you know how to do this question

Answers

Step-by-step explanation:

The function/equation can be rewritten to fit the variables better. C=10t+2. C stands for the total cost, and t stands for the number of tickets. The total cost of tickets is the amount of tickets ($10 each) plus another $2 (probably some kind of fee).

Paul wants to buy a new skateboard. The regular price of the skateboard before a 15% discount and before 4% tax is $40. What is the amount of money Paul will need to buy the skateboard after the discount and including tax

Answers

$45.76
$40 x 15% = $6
$40 - $6 = $44
$44 x 4% = $1.76
$44 + $1.76 = $45.76

help me please!!!!!!!!!!!!!!!!

Answers

mr. russell questions:

1: false.

2: false.

3: true

4: false.

5: true.

the last question: D.

PLZZZZZ HELP ME!
It’s math btw

Answers

Answer:

1. 9/10

2. 15/16

4. 3/5

5. 3/5

Step-by-step explanation:

1. 7/10 + 2/10 = 9/10

2. 13/16 + 2/16 = 15/16

4. 7/15 + 2/15 = 9/15 = 3/5

5. 9/20 + 3/20 = 12/20 = 3/5

Answer: 1 r1 for second

Step-by-step explanation: 13/16+2/16=15/16 divide 15/16 gets 1 r1

I would need you to tell me the answers to each question (3 questions)

Answers

Step-by-step explanation:

For no. 4

x = 180° - 98° - 50°

x = 32°

For no. 5

x = 180°- 67°-56°

x = 57°

For no. 6

x = 180° - 22° - 47°

x = 111°

Hope it will help :)❤

Step 1: Give an example of an equation that has a variable on both sides. (YES YOU GET TO MAKE UP YOUR OWN EQUATION) Step 2: After you create your equation, explain with words how you would solve your equation. Make sure you explain each step and the properties you would use. Your answer should be in paragraph form. *

Answers

Answer:

3m = 3m

Step-by-step explanation:

Divide both sides by 3, and you get m = m

disappointing but this was all i could think of sorry


The Hiking Club is taking another trip. The hike leader's watch shows that they gained
296 feet in altitude from their starting position. Their altitude is now 285 feet, but there is
no record of their starting altitude,
Which equation represents this situation?

A: x + 285 = 296
B: x - 296 = -285
C: x + 296 = 285
D: x- 285 = - 296

Anyone available I been trying to get the answer for this assignment :(

Answers

Answer:

c

Step-by-step explanation:

they started at x added 296 and now are at 285

Answer:

-987

Step-by-step explanation:

which equation has a solution x= -3
A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x + 8 = 10
D) 1/2(2x - 6) = -6

Answers

Answer:

D

Step-by-step explanation:

1/2 ( 2x - 6) = -6

1/2 = 0.5

0.5(2x-6) = -6

1x-3=-6

1x=-6+3

x=-3/1

x=-3

Answer is D

Step by step:

1/2(2x - 6) = -6
-6 -6
1/2 (-12) = -6
-6 = -6

HELP ASAP!!!!!!!!

Find the cite of each variabile

Answers

tan = opp/adj

x = 13(tan 45)

x = 13

//

a² + b² = c²

13² + 13² = 338²

square root of 338 is not a rational number so turn into mixed radical.

//

[tex]x \: = 13[/tex]

[tex]y = 13 \sqrt{2} [/tex]

Use the graph and table to write the equation that describes the line graphed.

A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries 1, 2, 3, 4, 5.

The equation of the line
Please help me :(

Answers

Answer:

I believe it is x−y+3=0.

Step-by-step explanation:

y= mx + b

The equation of a line is written as [tex]\frac{y_{2-}{y_{1} } }{x_{2-}{x_{1} } }[/tex], so if you plug in the numbers from the first two rows on the grid you get, [tex]\frac{2-1}{-1--2}[/tex] = [tex]\frac{1}{1}[/tex] = 1

The y- intercept is [tex]b= y_{1}[/tex]-m·[tex]x_{1}[/tex], plug in the number and its, b=1-(1)·(-2)=3

Finally, the equation of the line can be written in the form y=mx+b.

y=x+3.

The equation of the line in the slope-intercept form is y=x+3.

The equation of the line in the point-slope form is y−1=1(x+2).

The general equation of the line is x−y+3=0.

Answer:

It’s D y=X+3

Step-by-step explanation:

Factor ab + bc+ b² + ac.

A. (a + b)(b + c)

B. (a + c)(b + c)

C. b(a + b)(b + c)​

Answers

Answer:

A. (a + b)(b + c)

Step-by-step explanation:

b( a + b ) + bc + ac

b( a + b ) + c ( b + a )

= (a + b)(b + c)

hope it helps!

Answer:

A

Step-by-step explanation:

a(b+c)+bc+bb

a(b+c)+b(c+b)

(b+c)(a+b)

2 (12-y)= 23- (2y-1)

Answers

i got all real numbers

randy needs to save 2550$ for a vacation. he has 6 months to save the money. how much money must he save each month?

Answers

Answer:

425

Step-by-step explanation:

2550/6=425

Answer:

425

Step-by-step explanation:

Well I need the help in this last question I will mark brain list if you got it right

Answers

Answer:

6x−11y+15

Step-by-step explanation:

Distribute the Negative Sign:

=5x−6y+7+−1(−x+5y−8)

=5x+−6y+7+−1(−x)+−1(5y)+(−1)(−8)

=5x+−6y+7+x+−5y+8

Combine Like Terms:

=5x+−6y+7+x+−5y+8

=(5x+x)+(−6y+−5y)+(7+8)

=6x+−11y+15

Answer:

6x−11y+15

I hope I helped!!

(5x-6y+7) -(-x +5y -8)
=5x-6y+7+x-5y+8
=6x -11y +15
Hope it helps you (^_^)

James and Sarah went out to lunch. The price of lunch for both of them was $60. They tipped their server
25% of that amount
How much did each person pay if they shared the price of lunch and the tip equally?

Answers

Answer:

$37.50

Step-by-step explanation:

$60 x .25 = $15 (tip)

$60 (meal) + $15 (tip) = $75

$75 ÷ 2 (# of people splitting the cost) = $37.50

Madison is starting her own sewing business. Madison has calculated that she needs to earn $840 per week to support her family. If she knows she will only be able to work 75 hours per week, what is the minimum amount of dollars per hour that she will need to charge her customers?

Answers

Answer:

$11.20 per hour

Explanation:

x = dollars per hour

75x = 840

x = 11.20

Factor the expression: 12x + 16​

Answers

Answer:

12x+16

~Grouping~

12+16

4(3+4)

~Solution~

4(3+4)

Step-by-step explanation:

Hope that helps!!! :)

Answer:

Step-by-step explanation:

All you can do with this is take out a common factor of 4

12x / 4 = 3x

16  / 4 = 4

So the answer is

4 (3x + 4)

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