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

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'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:

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:

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!  


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

Answers

71/2x-4 and the graph is attached

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......

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

Can someone help me on this pls?

Answers

Answer:

2 2/5

Step-by-step explanation:

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.

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

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

                                           

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

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

Answers

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

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

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^

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

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

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

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

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

Answers

Answer:

4

Step-by-step explanation:

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

Answers

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

what’s the mode,range and shape?

Answers

Answer:

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

I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282

Answers

Answer:

8.6395761e+25

Step-by-step explanation:

no

what’s this in standard form

Answers

Answer:

0.614

Step-by-step explanation:

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.

What is x- value of point A

Answers

Answer:

5

Step-by-step explanation:

The x value of point A is 5

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(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.

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.

Other Questions
Trouvez la question. 1. Je suis n le 27 Janvier 1928. Quand tu es ne ? 2. Je suis n Lyon. Ou tu es ne ? 3. Les vacances sont trs proches. Quand Est-ce que la vacance ?? 4. Il est 3h20 min. Quel heur est-il ? 5. Il fait nuit dans le forez. Est-ce qu'il fait noir dans le forez ?? 6. J'arrive Paris. D'o arrives-tu ? 7. Je regarde la tlvision. 8. Oui, j'ai faim. 9. Le chat dort sur la chaise de la cuisine. 10. Des amis viennent la maison. 11. Les lunettes de Sophie sont belles. 12. Pierre va l'cole tous les jours. 13. Sa maison bleue est trs jolie. 14. Ce petit garon est tomb de son vlo. 15. Les feuilles des arbres tombent en hiver argon is an inert gas give reason. JosephA plant breeder wanted to produce carnation flower that were onlypink for his girlfriend. Determine the phenotypes of the two colorsnecessary to produce these desired offspring. KeyRed-R, White-WPink - RWainter wanted to produce color purple for his artworkC HELP ME PLEASE!!! I NEED THIS OR I WILL FAIL!!! Henrys baseball team needs new equipment each new baseball will cost 5.50$ And each new bat will cost 14.95 how much will the team spend if they buy 8 new baseballs and 2 new bats Side XY of triangle XYZ is extended to point W, creating a linear pair with WYZ and XYZ.Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.What is the value of x?6480100180I NEED HELP ON SOME MORE PROBLEMS ANYONE WILLING TO HELP??? The expression (3+i)(1+2i) can be written Jim the form a +bi, where a and b are integers. What are the values of a and b? hiiii please help if u can In Wills garden, 71 out of 200 plants have developed seeds. Which is closest to the percent of his plants that have developed seeds? A line passes through the point (10,2) and has a slope of 1/2. Write an equation in slope-intercept form for this line. Which source provides the most accurate information about a person's opinions?a radio interview with the persona biography about the radio hosta piece of historical fiction about the life of the person being interviewedan opinion article discussing the interview A steam catapult applies a very large force to supplement the engine thrust of a jet fighter as it takes off from anaircraft carrier. The jet has a mass of 4000 kg and must reach its take off speed of 70 m/s at the end of the 220m flight deck. What is the combined force of the catapult and engines? (Use the work-energy theorem) 5 pounds of spaghetti costs 8 dollars. How much would 1 pound cost? Jack the Ripper: Who Most Likely Committed the Murders?What happened on the night of the murders? Of the three given suspects, who would most likely be the person who committed the crimes and why? Charles Allan LechmereRobert MannJoseph Barnett Why do you think Earth's plates move on the surface? pls help me thank you :):):) Textile arts were highly developed in ancient Africa. Which material did the artisans use to create stamps in the Ashante region of Ghana? why saturated fatty acid cant create kink ? Rewrite the equation below so that it does not have fractions. 3 - 3/4x = 5/8 Please help DNA providesAstorage for cellular waste.Ba structure for the shape of each cell.Cnutrients for the cell.Dthe genetic material of living organisms.