Michelle delivers books to school libraries. her truck has a slide out ramp for unloading the books. the top of the ramp is 3 ft above the ground. the ramp itself is 5.2 ft long. what is the horizontal distance the ramp reaches

Answers

Answer 1

Answer:

4.2 ft

Step-by-step explanation:

We can assume that the truck is vertically straight, so this will make up the vertical side of the triangle.

This means that the triangle is a right triangle since a right angle will be formed with the ground and the 3 ft side.

Next, we have the ramp length which is 5.2 ft long. This will be the hypotenuse of the right triangle since the ramp is slanted.

We want to find the length of the horizontal leg of the right triangle, which will give us the horizontal distance the ramp reaches.

We can use the Pythagorean Theorem since this is a right triangle:

a² + b² = c² a and b are the legs, c is the hypotenuse

Substitute these values into the equation and solve for b.

(3)² + b² = (5.2)² 9 + b² = 27.04 b² = 18.04 b = 4.24735211632

The horizontal distance the ramp reaches is 4.2 ft, parallel to the ground.


Related Questions

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

30 square feet

Step-by-step explanation:

Bottom rectangle: 2*5 = 10

Middle rectangle: 2*6 = 12

Top rectangle: 2*4 = 8

Total: 10 + 12 + 8 = 30

4Please help!! Geometry, will mark brainliest!

Answers

Rhombuses have four congruent sides, perpendicular diagonals, and their diagonals bisect opposite angles. Rectangles have four right angles and congruent diagonals. Squares contain all the properties from both the rhombus and rectangle.

Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!

Answers

No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.

Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]

[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]

[tex]A = \frac{1}{2}\cdot 4[/tex]

[tex]A = 2[/tex] units^2

And since the two triangles are the same, the other triangle has the same area: 2 units^2

For the square we can use [tex]A = l\cdot w[/tex]  

[tex]A = 2 \cdot 2[/tex]

[tex]A = 4[/tex]

Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2

Answer:

8 units²

Step-by-step explanation:

In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2

In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.

Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:

2 + 2 + 2 = 6

Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:

([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,

(2 + 6) × 2/2

= 8 × 1

= 8 units²

an uber charges a flat fee of $15 then charges $4 per mile write an equation for the total cost of ur ride? identify the m, b, & Equation

Answers

Answer:

Step-by-step explanation:

EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.


EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS

PLANOS.

Answers

Answer:

THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.

THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.

Step-by-step explanation:

This is what it says in english

Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. Select the best description of the sample.

Answers

Answer:

Random sample of 500 residents of Story County

Step-by-step explanation:

SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.

Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.

help meeeeeeeeee T^T

Answers

Answer:

C) 120

Step-by-step explanation:

Use three times five and minus one times

you will get 12 and multiply by 10

C. 120

or a faster way to solve these is just 150 (total # of students) and multiply by the percent in decimal form which in this case would be 0.80 (because percentage is out of 100, 80% is 80/100, which is 0.80 as a decimal)

150 • 0.8 = 120!!! :)


2) A circle has a diameter of 10 feet. What is the area of the circle, in square feet?

Answers

Answer:

Area = 78.5 square feet

Step-by-step explanation:

Formula for area of a circle: A = pi r^2 or area = pi times radius squared

So the diameter = 10 feet

And radius is half of the diameter so radius = 5 feet

A = pi x 5 squared

A = pi x 25

A = 78.5 square feet

Answer:

A = 78.5 [tex]ft^{2}[/tex]

Step-by-step explanation:

A = π[tex]r^{2}[/tex]

diameter = 10

radius is half of 10 = 5

A = 3.14 x [tex]5^{2}[/tex]

A = 3.14 x 25

A = 78.5 [tex]ft^{2}[/tex]

People use water to​ cook, clean, and drink every day. An estimate of 33.9​% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Answer:

23 gallons of water

Step-by-step explanation:

People use water to​ cook, clean, and drink every day. An estimate of 33.9​% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

This is calculated as:

33.9 % × 67.8 gallons of water

= 0.339 × 67.8 gallons of water

= 22.9842 gallons of water

Approximately = 23 gallons of water

Therefore, 23 gallons of water are used everyday for cooking

Figure ABCD is a rhombus. Find the value of x. 4x+2 3x+5

Answers

Answer:

4x+2

[tex] - \frac{84}{5} [/tex]

3x+5

[tex] - \frac{91}{10} [/tex]

Step-by-step explanation:

i hope its correct

Answer:

3

This is the correct answer

55 x 32 / 32
HELPPP GIVING BRAINLIEST

Answers

Answer:

55

Step-by-step explanation:

Just multiply then divide:

55 x 32 = 1760

1760 ÷ 32 = 55

Or just easier like:

55 x 32 ÷ 32 = 55

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?

Answers

Answer:

750

Step-by-step explanation:

you rode a bicyde for 2 hours and travelled 43 km, calculate your average
speed.​

Answers

Answer:

22.5km per hour

Step-by-step explanation:

The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)​

Answers

Answer:

The walkway around the pool makes the entire outer dimensions (outer border)  

x+9+2x3=x+15  and  x+8+2x3

hope this helps!  could i get brainliest plz?

The expressions to represent the dimensions of the outside border of the walkway is  (x + 12) meters for the length and (x + 11) meters for the width.

Given area : [tex]x^2 + 17x + 72[/tex]

The factored form of the polynomial is:

[tex]x^2 + 17x + 72[/tex]  = [tex]x^2 + 8x+9x+72[/tex]

                      = x(x+8)+9(x + 8)

                          =(x + 9)(x + 8)

So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.

The length of the walkway = 3 meters wide

So, the length is added to each side of the pool.

Dimensions of the outside border of the walkway:

Length: (x + 9) + 3 = x + 12 meters

Width: (x + 8) + 3 = x + 11 meters

Therefore, the dimensions of the outside border of the walkway are

(x + 12) meters for the length and (x + 11) meters for the width.

Learn more about polynomials here:

https://brainly.com/question/11536910

#SPJ4

solve attached problem

Answers

Answer:

what is the dot for?

Step-by-step explanation:

2m² × 2m³

2×2 = 4

4m² × m³

= 4 m²+³

= 4m⁵

A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit

Answers

Answer:

He is making 20 naira profit for every 4 cups that he sells for 100 naira

Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira

Alex, x, saved 30 dollars and Ethan saved 1
3
more than that.
Ethan saved _______________ dollars

Answers

ethan saved 43 more dollars than alex

Dos hermanos reciclaron la misma cantidad de kilos de papel que de envases de carton. Se pagan 183 por cada kilo de papel y 356 por cada kilo de carton y con lo que juntaron lograron ganar 3763.

Answers

Respuesta:

183x + 356y = 3763

Explicación paso a paso:

Dejar :

Número de kilos de papel = x; número de kilos de cartón = y

Kilo de papel = 183; kilo de cartón = 356

Cantidad total ganada = 3763

(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)

(183 * x) + (356 * y) = 3763

183x + 356y = 3763

Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 ​ )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals, minus, 4

Answers

Answer:

p = 1

Step-by-step explanation:

4 - 5(p + 3/5) = -4

Find P

4 - 5(p + 3/5) = -4

4 - 5p -15/5 = -4

4 - 5p - 3 = -4

-5p + 1 = -4

-5p = -4 - 1

-5p = -5

p = -5/-5

p = 1

Check:

4 - 5(p + 3/5) = -4

4 - 5(1 + 3/5) = -4

4 - 5 - 15/5 = -4

4 - 5 - 3 = -4

4 - 8 = -4

-4 = -4

Answer:

ITS HELLA 1/5 NOT 1

Step-by-step explanation:

>:(

Please help me solve :(((

Answers

Answer:

θ ≈ 15°

Step-by-step explanation:

Using the sine rule in the triangle

note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then

[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )

2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )

sinθ = [tex]\frac{756sin125}{2400}[/tex] , then

θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )

Rick is currently 72 inches tall. He wants to compare himself to his friend who is 5 feet and 11 inches tall. How many inches taller is Rick than his friend?

Answers

Answer:

1 inch

Step-by-step explanation:

We would have to convert rick's friends height to inches

1 feet = 12 inches

Friend's height = (12 x 5) + 11 = 71 inches

Difference in height = 72 - 71 = 1

I NEED HELP PLEASE A rectangle has a length of 3x+5 and a total area is + 11x +10 find the width of the rectangle.

Answers

Answer:

3.667+ 2

Step-by-step explanation:

Area of a rectangle = length x width

11x + 10 = (3x +5) x width

to determine the width, divide both sides of the equation by 3x + 5

(11x + 10) / (3x + 5) = width

width = 3.667 + 2

Please help RIGHT NOW PLEASE HELP NOW

Answers

1. it describes what the cost would be for two medium lattes and one small latte all together.

2. it would be the first one which is 2x + y = 7.15

Step-by-step explanation:

m- 0.3 > 1.45
Answer?

Answers

Answer:

[tex]m > 1.75[/tex]

Step-by-step explanation:

1) Add 0.3 to both sides.

[tex]m > 1.45 + 0.3[/tex]

2) Simplify 1.45 + 0.3 to 1.75.

[tex]m > 1.75[/tex]

Therefor, the answer is m > 1.75.

Lindsay infers that out of 400 people,300 would prefer to watch movies in a theater. Is her inference valid?

Answers

Theater: 30
Streaming: 62
DVD: 8
( this information was given in a table but I couldn't do that here)
Please mark brainliest

helllllllpppppppppp!!!!!!!!

Answers

Answer:

i dont know

Step-by-step explanation:

.

The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.

Answers

We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118

Which one of these grids is shaded red and blue in the ratio 0.5:1?
А.
B
C
D
E
Fחד

Answers

Answer:

C

Step-by-step explanation:

0.5 red : 1 blue

1 red : 2 blue

1.5 red : 3 blue

2 red : 4 blues

2.5 red : 5 blue

3 red : 6 blue

3.5 red : 7 blue

4 red : 8 blue

(per every half a red, there is one whole blue)

C has 4 red and 8 blue

0.5 red x 8 blue = 4 red

1 blue x 8 blue = 8 blue

What is the inverse (opposite) operation that you will use to solve this equation for c+3=4 and the answer.

Answers

Answer:

1

Step-by-step explanation:

As we know that addition and subtraction are inverse operations, as are multiplication and division.

The given equation is c+3=4

To solve such equations we isolate the unknown( to keep it either to the left or right of = sign) as c = 4-3  

This is also called transposing and the sign of the transposed value changes.

Hence, c = 4-3 = 1

Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth a=? b = 5, c = 12 what is A​

Answers

Answer:

Approximately 10.9

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

Plug in b (5) and c (12)

[tex]a^2+5^2=12^2\\a^2+25=144[/tex]

Subtract 25 from both sides

[tex]a^2+25-25=144-25\\a^2=119[/tex]

Take the square root of both sides

[tex]\sqrt{a^2} =\sqrt{119}[/tex]

a = approximately 10.9

I hope this helps!

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