Hannah made a ramp for her grandfather who was in a wheelchair. The ramp was 10 ft long and it was 5 ft away from the porch steps. How high were the porch steps?

Answers

Answer 1

Given :

Length of ramp( Hypotenuse ), l = 10 ft .

Length of base, b = 5 ft .

To Find :

How high were the porch steps.

Solution :

Let, height is h.

By Pythagoras theorem :

[tex]b^2+h^2=l^2\\\\h=\sqrt{l^2-b^2}\\\\h=\sqrt{10^2-5^2}\\\\h = \sqrt{75}\\\\h = 5\sqrt{3}\ ft[/tex]

Hence, this is the required solution.


Related Questions

Can someone help me on this pls?

Answers

Answer:

2 2/5

Step-by-step explanation:

what’s this in standard form

Answers

Answer:

0.614

Step-by-step explanation:

A line passes through (3, -3) and has a slope of 3. What is an equation of the line ???

Answers

Answer:

y=3x-3

Step-by-step explanation:

y=mx+b

m=slop

b=y intercept

need help i can maybe help y'all and if yall need points i can give y'all points and if i need some points maybe yall can help give points? enjoy your day and weekend

Answers

Answer:

whats up?

Step-by-step explanation:

Answer:

i have some bio questions that i need answered lol

Step-by-step explanation:

after giving 8 apples to her friend, John finds notices that two third of the remainder is 12.how many appledid she have all tigether​

Answers

Answer:

26

Step-by-step explanation:

It started with x apples.

8 were given away.

Now there are x - 8 apples.

Two thirds of the remainder is (2/3)(x - 8).

That is equal to 12.

(2/3)(x - 8) = 12

x - 8 = 18

x = 26

There were originally 26 apples.

Answer:

26, if I understood the question correctly.

John has an amount of apples, gave 8 to her friend, and noticed that two thirds of the remainder is a dozen.

Step-by-step explanation:

If 2/3 of the remainder is 12, then we can set this up as an algebraic equation to see what the remainder started with.

x*2/3=12

Now we can see that we need to divide the 2/3 to get the answer for what x is equal to.

[tex]x=12/(\frac{2}{3} )[/tex]

To divide fractions, you multiply by the reciprocal, (or the fraction upside down)

[tex]x=12*(\frac{3}{2})[/tex]

When we multiply 12 by 3/2, we get 36/2, and when we reduce, we get 18.

If the entire remainder is 18, then the original total would be 18 plus the 8 that John gave to her friend.

18+8=26

Kind of a strangely worded question, I hope I understood correctly

2 (4x-2)- 5x=-18
HELP!!

Answers

i think it’s x= -14/3

Answer:

x = -14/3

Step-by-step explanation:

2 (4x-2) - 5x = -18

8x - 4 - 5x = -18

8x - 5x = -18 + 4

3x = -14

x = -14/3

I'm not sure if this is what you were asking for but, ya..

What is the solution for x in the equation? -2x + 14 + 10x = 34 A. X=6 B. X=2/5 C. X=1/8 D. X=5/2

Answers

Answer:

Step-by-step explanation:

x =(10-√-800)/2=5-10i√ 2 = 5.0000-14.1421i

x =(10+√-800)/2=5+10i√ 2 = 5.0000+14.1421i

the answer is 5/2

Step-by-step explanation: im just that good enjoy the free answer you cheating loser

A runner saved $25 when he purchased a pair of tennis shoes on sale. If the sale price was 35% off the regular price, what was the regular price of the tennis shoes?

Answers

Given:

Amount saved in sale = $25

Sale price was 35% off the regular price.

To find:

The regular price of the tennis shoes.

Solution:

Let the regular price of the tennis shoes be x.

Sale price was 35% off the regular price.

[tex]Discount=\dfrac{35}{100}x[/tex]

Amount saved in sale = $25

[tex]0.35x=25[/tex]

Divide both sides by 0.35.

[tex]x=\dfrac{25}{0.35}[/tex]

[tex]x=71.42857[/tex]

[tex]x\approx 71.43[/tex]

Therefore, the regular price of the tennis shoes is $71.43.

Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 5 people? ASAP correct answers only
a. 3/40 teaspoon c. 1 teaspoon
b. 15/40 teaspoon d. 1 7/8 teaspoons

Answers

Answer:

D

Step-by-step explanation:

You can multiply the numerator by 5 to get the answer of 15/8 which when simplified comes to 1 7/8 teaspoons. 8 goes into 15 one time with 7 left over

Hope i explained everything thoroughly!  

if AB || CD and AC = BD, is ACD = CAB?

Answers

Yes becauseGuess the sides are all equal but not one so 8BACDNequals CAB

Which word describes the slope of the line?

Answers

Answer:

rate of change

Step-by-step explanation:

Answer:

"rise over run" or "rate of change"

Step-by-step explanation:

"Slope" itself is "rise over run", or how quickly the line moves up or down relative to the x-axis as the value of x changes.

A gradient is really just another name for slope, not a description OF a slope.

find one arithmetic means between 2 and 32? step-by-step​

Answers

Answer:

17

Step-by-step explanation:

An arithmetic mean is the average of the 2 given numbers, that is

mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{2+32}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17

Question 2 of 5
Three friends go grocery shopping together, and each buys the same kind of
oranges. LaMar buys 2 pounds (lb) and pays $3.00. Enrico buys 5 pounds and
pays $7.50. Anna buys 3 pounds and pays $4.50.
Identify the graph and unit price that represent the orange costs.

Answers

Answer:

C because i looked it up here is the answer

Step-by-step explanation:

can i please have brainlist

Answer:

C-hope this helps :)

Step-by-step explanation:

:)yeet and delete


7x-11>3
Solve and graph for X
Beep help please ASAP

Answers

71/2x-4 and the graph is attached

5x-6
3x +2
5yº
Only enter the number. What is the value of x?

Answers

Answer:

4

Step-by-step explanation:

How can you write 5+5+5 using a different math operation

Answers

Answer:

five plus five plus five

Step-by-step explanation:

This is in wording

Answer:

Lots of ways

Step-by-step explanation:

5x3

5(3)

5+5+5

10+5

You want to apply two coats of paint to walls that are 8 ft high in a room that is 7 11/12 feet wide and 9 5/6 feet long. One gallon of paint covers 350 square feet.

Answers

Answer:

Paint required will be 2.06gallons

Step-by-step explanation:

The given dimensions are

Height - 8ft

Width - 7 [tex]\frac{11}{12}[/tex] = 7.9ft

Length - 9. 83ft

To calculate the the amount of paint required to paint the walls we need to find the area of the walls

wall 1  = height * width of room= 8 * 7.9 = 63.28[tex]ft^2[/tex]

wall 2 = height * length = 8*9.83 = 78.64 [tex]ft^2[/tex]

The total area of the 4 walls will be = 2*(63 .28+78.64)= 283.84[tex]ft^2[/tex]

ceiling area = 77.66[tex]ft^2[/tex]

total area to be painted = 283.84 + 77.66 = 361.50[tex]ft^2[/tex]

One gallon of paint covers 350 [tex]ft^2[/tex] of area

so 361.50 [tex]ft^2[/tex] area will be covered by = 361.5/350 = 1.03gallons of paint

also we need two coating so the paint required will be = 1.03 * 2 =2.06gallons

                                           

will give branliest if correct :)

Answers

Answer:

15.71

Step-by-step explanation: I did It on a peice of paper and it's a mess so yeah......

Please help me!! Thank youu

Answers

Answer:

6.5x and 3.05x were adding incorrectly.

Step-by-step explanation:

The answer to adding those two numbers would be 9.55x

Answer:

error is in step A. 6.5x and 3.05x do not combing to 10x. instead, it should be 9.55x

A camera can take 3/4 of a picture per second. How many pictures can it take in 16
seconds?

Answers

Answer:

12

Step-by-step explanation:

It can take 3/4 of a picture per second. So all you have to do is take 3/4 and multiply it by 16.

6th grade math
34/51 = x/3
solve pls

Answers

The answer to this In a fraction form is 2x/9

I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282

Answers

Answer:

8.6395761e+25

Step-by-step explanation:

no

A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?

Answers

Answer:

[tex]26M + 56D = 2278[/tex] ---- equation 1

[tex]M = 3D[/tex] ---- equation 2

A microscope costs S51 and a dissection kit costs S17

Step-by-step explanation:

Given

Represent microscope with M and Dissection kits with D

Cost:

[tex]M = 3D[/tex]

[tex]Total = 2278[/tex]

Required

Represent as an equation:

To do this, we represent the equation in terms of cost and quantity

In terms of cost, we have:

[tex]26M + 56D = 2278[/tex] ---- equation 1

and

[tex]M = 3D[/tex] ---- equation 2

Substitute 3D for M in equation 1

[tex]26*3D + 56D = 2278[/tex]

[tex]78D + 56D = 2278[/tex]

[tex]134D = 2278[/tex]

Divide both sides by 134

[tex]D = \frac{2278}{134}[/tex]

[tex]D = 17[/tex]

Substitute 17 for D in [tex]M = 3D[/tex]

[tex]M = 3 * 17[/tex]

[tex]M = 51[/tex]

Hence:

A microscope costs S51 and a dissection kit costs S17

what’s the mode,range and shape?

Answers

Answer:

range=4.5-0.5 (highest number less than lowest number)=3.0

The graph shows the savings in Andre’s bank account.

Answers

Answer:

As the number of week increases, the Andre's savings also increases

Step-by-step explanation:

Given

The attached graph

Required

Explain what the slope represents (Missing part of the question:)

First, we'll check the slope of the graph.

Represent time in weeks with x and savings in dollar with y

So, we have the following details:

[tex](x_1,y_1) = (0,40)[/tex]

[tex](x_2,y_2) = (8,80)[/tex]

Slope (m) is then calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{80 - 40}{8 - 0}[/tex]

[tex]m = \frac{40}{8}[/tex]

[tex]m = 5[/tex]

The calculated slope is positive and this implies that: As the number of week increases, the Andre's savings also increases

What's the answer to this?

Answers

Answer:

steeper

Step-by-step explanation:

2 Answers:

D) Vertically compressed

E) Flatter

=====================================================

Explanation:

An example would be if a = 0.5 which leads to the graph being half as tall as it used to be since 1/2 = 0.5; notice how a = 0.5 makes 0 < a < 1 true. Since the graph is squished vertically, the graph is flatter.

We don't have a reflection over the x axis since 'a' is not negative.

----------------

Extra info:

If a > 1 then the graph is stretched vertically to make it taller than it used to be. Eg: a = 5 leads to the graph being 5 times taller than before which also would make it steeper too. The value of d handles the vertical shifting. If d > 0, then we shift up d units. If d < 0, then we shift down |d| units.

What is the equation represented by this line?

ANSWER ASAP GIVING BRAINLEST

Answers

Answer:

the linear equation is y= -4/3x + 2

Answer:

y=-x+2

Step-by-step explanation:

What is x- value of point A

Answers

Answer:

5

Step-by-step explanation:

The x value of point A is 5

Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply.

The domain is all real numbers.
The range is all real numbers greater than or equal to 1.
The y-intercept is 3.
The graph of the function is 1 unit up and 2 units to the left from the graph of y = x2.
The graph has two x-intercepts. HELP 40 POINTS

Answers

Answer:

A and C

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation: hope it helps ^w^

A(n)______ dot on the graph of an inequality shows that the points IS a solution of the inequality.
A) flat
B) open
C) closed
D) invisible​

Answers

Answer:

c because an open doesnt mean its guaranteed but it starts at closed.

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