The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main entrance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.

Answers

Answer 1

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

Approximately = 0.6 feet

Length of the ramp = 0.6 feet.


Related Questions

HELP Help Please

The volume V of a balloon varies directly with the cube of its radius R. If the volume is 113 cubic inches when the radius is 3 inches, find the formula for the volume.

Answers

Answer:

l × b is the correct answer for this question

Brainliest to right answer

Answers

Answer:

4,-2

Step-by-step explanation:

The line passes through the Y Axis and slopes 4 and -2.

Answer:

slope = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 4) and (x₂,y₂ ) = (1, - 3) ← 2 points on the line

m = [tex]\frac{-3-4}{1+3}[/tex] = - [tex]\frac{7}{4}[/tex]

Choose the correct reason to justify each of the first four statements in the derivation.


Easy points, please just enter a random answer or repeat the answers.
If it's hard to see the answers are Pythagorean Theorem, rearrange the previous statement, Pythagorean Theorem, and Expand (b-x)2

Answers

Answer:

1) a2 = h2 + x2

✔ Pythagorean theorem

2) h2 = a2 - x2

✔ Rearrange the previous statement

3) c2 = h2 + (b-x)2

✔ Pythagorean theorem

4) c2 = h2 + b2 -2bx + x2

✔ Expand (b – x)2

Step-by-step explanation:

The Pythagorean Theorem could be represented mathematically as follows, Here, c represents the length of the hypotenuse (the longest side), or b or a are the lengths of the other 2 sides. From the equation, you can easily find the value of the 1 side if you have the values of the other 2

1) a2 = h2 + x2

Pythagorean theorem

2) h2 = a2 - x2

Rearrange the previous statement

3) c2 = h2 + (b-x)2

Pythagorean theorem

4) c2 = h2 + b2 -2bx + x2

Expand (b – x)2

What made Pythagoras think of the Pythagorean theorem?

The number 1 : the number of reason.The number 2: the first even and female number, the number of opinion.The number 3: the first true male number, the number of harmony.The number 4: the number of justice or retribution.The number 5: marriage.The number 6: creation

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What is the correct anwser and how

Answers

Answer:

D

Step-by-step explanation:

5+8=13

NOT 58

Answer: D

Step-by-step explanation:

Well 5+8=13 and not 58, so that’s why it’s incorrect

This is due today, please help!!! I will give brainliest.

Answers

Answer:

Step 1, all the exponents are increased by 4

Step-by-step explanation:

The first incorrect step occurred in Step 1, where all the exponents were increased by 4.

This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.

For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.

We multiply the exponents instead of adding them together.

Therefore, the correct Step 1 should multiply all the variables' exponents by 4.

Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.  

Abby wants to buy a new purse for $23.57. She gives the cashier a $20 bill and a $10 bill. How much change does she get back?​

Answers

Answer:

$ 6.43

Step-by-step explanation:

Answer:

She gets back $6.43 dollars as change

Step-by-step explanation:

If you add 20 and 10 you get 30, and if u subtract 23.57 from 30 like this, 30.00 - 23.57

       30.00                         29.99                  

    -  23.57                     -   23.57

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

                                          06 .42

Hope this help :)

Find the value of x in the isosceles triangle 40inches x 25 inches

Answers

Answer:

l

Step-by-step explanation:

these are the choices
10
8.7
8
8.5

Answers

Answer:

8.7

Step-by-step explanation:

Answer:

8.7

Step-by-step explanation:

the sides are 1 red line, which means congruent.

Since they are congruent, DF~=EG, which means that EG is 8.7

Hope this helps plz hit the crown :D

The product of a number, x, and 18 is 113.4. Which equation and value of x represent this relationship?

Answers

Answer:

42

Step-by-step explanation:

Pleaseeeee help asap anyone

Answers

I got c=73 for my answer my work is in the photo

Answer:

73

Step-by-step explanation:

17+90+C=180 since it is a straight angle and yeah.

17+90=107+c=180

180-107=73

PLEASE HELP!!!! On average, Jack can fold his laundry in 30 minutes, but, depending on how much laundry he has, his time can vary from the average by 10 minutes.


Which absolute value equation can be used to calculate Jack's maximum and minimum time to fold his laundry?


Let x represent the maximum and minimum time.



|x−30|=10


|x+10|=30


|x−10|=30


|x+30|=10

Answers

Answer:

I think it is the third choice

The absolute value equation can be used to calculate Jack's maximum and minimum time to fold his laundry is, |x−30|=10. So, Option A is correct

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

On average, Jack can fold his laundry in 30 minutes

How much laundry he has, his time can vary from the average by 10 minutes

So, maximum time can be 40 minutes

And minimum time can be 20 minutes

Therefore, The result is  |x-30| =10

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CAN SOMEONE PLZ HELP

Answers

It would be C. 7*7*7*7*7

Hope this helps

Have a great day/night

Answer:

C. 7*7*7*7*7

Step-by-step explanation:

7^5 is multiplying 7 5 times

(-3, -6) translated 6 units up

Answers

Answer: y= 4x + 6 Not sure but hope this help

Step-by-step explanation:

Answer: (-3, 0)

Step-by-step explanation:

I am including a picture that explains. Hope this helps!

Part I: Writing Linear Equations
1.
Write the equation of the line that has a slope of -1/4 and contains the point
(72, -30) in Point-Slope Form. (2 pts)
2.
A). Write the equation of the line that contains the points (3, 15) and (28, -35) in
Point-Slope Form. (2 pts)
B). Convert the Point-Slope equation from part A to Slope-Intercept Form. (2 pts)

Answers

Answer:

1. y= 2/5x+11

2. y=3x-15

2y-5x=9

Step-by-step explanation:

I did this already

HELP ASAP The tree diagram shows all the possible combinations for heads (H) and tails (T) when 3 coins are tossed. What is the probability that the outcome has at least two heads?

Answers

Answer:

1/2

Step-by-step explanation:

4 out of 8 of the outcomes have at least to heads so it would be 4/8, then you just simply that to get 1/2

A......B......C.......or D

Answers

I think the answe is a
A is the right answer

Identify the GCF that was factored out of the polynomial -7t2 -42t -49

Answers

Answer:

-7

Step-by-step explanation:

You could take out a factor of -7.

-7t²/-7 = t²

-42t/-7 = 6t

-49/-7 = 7

So the GCF is -7.

Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)

Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.

Answers

Answer:

again i can not see the given point

Step-by-step explanation:

A store donated a percent of every sale to . The total sales were ​$ so the store donated ​$. What percent of ​$ was donated to ​?

Answers

Answer:

0sahxhzsxnpIJ NSO:ZH usdygfujhobhjnsxjkmajxfbsaixinsjcfmt;eiuufucckdbwdhvcubwo

Step-by-step explanation:

Answer:

=$

Step-by-step explanation:

What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?



16 inches
12 feet
4 m 3
15 cm 2

Answers

Answer:

15 cm

Step-by-step explanation:

6x5 divide by 2

Answer:

15 cm^2

Step-by-step explanation:

Find the measures of the angles in a triangle with the ratio of 2:7:9

Answers

Answer:  20, 70, 90

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

Work Shown:

Let x be some positive real number.

Multiply each part of the given ratio by x to get 2x:7x:9x

So we have the three angles 2x, 7x, and 9x.

For any triangle, the three angles must add to 180

2x+7x+9x = 180

18x = 180

x = 180/18

x = 10

This leads to

2x = 2*10 = 207x = 7*10 = 709x = 9*10 = 90

The three angles of this triangle are: 20, 70, 90

This is a right triangle due to the 90 degree angle.

A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?

Answers

Answer:

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.

Step-by-step explanation:

Let,

x be the pounds of oatmeal used

y be the pounds of crispies used

z be the pounds of chocolate

According to given statement;

1.50x+2.00y+1.00z = 17.00     Eqn 1

x+y+z = 11      Eqn 2

x = 2y   Eqn 3

Putting x=2y in Eqn 2

2y+y+z = 11

3y+z = 11     Eqn 4

From Eqn 4

z = 11 - 3y    Eqn 5

Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1

1.50(2y) + 2.00y + 1(11-3y) = 17.00

3y+2y+11-3y=17

[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]

Putting y = 3 in Eqn 3

x= 2(3)

x= 6

Putting in Eqn 2

6 + 3 + z = 11

z = 11-9

z= 2

Hence,

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.

Please help me It’ll help a lot

Answers

Answer:

heyy

the answers "20"

Step-by-step explanation:

Okay using the x that we have we find 40 and plug that into the graph and we have 20 :p

PLZ PLZ someone help me

Answers

Answer:

y=4/5x

Step-by-step explanation:

Y= 4/5x hope I helped :)

Please help


Complete the square for the following equation x^2-18x

Answers

Answer:

Multiple answers would work

Step-by-step explanation:

From the subtraction sign before the 18x, we can infer that one of the equations has a negative number. So, know we have this:

(x-?) (x+?)

There are multiple answers this could be,

(x-18) (x)

(x-20) (x+2)

You get where I am going...

If you went with the first on (x-18) (x), then you wouldn't have to add anything.

(x-20) (x+2) = x^2 - 18X - 40.

To be honest this one stumped me. Some just have multiple answers. My guess is that you have to fill out the boxes so maybe the first answer wouldn't work.

Sorry I couldn't give a concise answer. Though their probably is one obivious answer that I am missing.

Answer:

I think its 16, 32, or 36.

Step-by-step explanation:

Because I set it up like 2/100 = x/18 and then do the math


Which point is located at 2/4 on the number line??

Answers

Answer:

on C

Step-by-step explanation:

The point K is located at 2/4.

What is fraction?

"It is a number expressed as a quotient, in which a numerator is divided by a denominator."

For given example,

We have been given a fraction 2/4.

We simplify given fraction 2/4 as

2/4

= 1/2

=0.5

Also, the midpoint of 0 and 1 is,

(0 + 1)/2 = 0.5

In the given graph the midpoint of  0 and 1 is denoted by K

Therefore, the point K is located at 2/4.

Learn more about fraction here:

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If u are selling 5 cans of soup for $12.75 how much is each of them

Answers

Answer:

63.75

Step-by-step explanation:

12.75 times 5

Whats the answer pls help

Answers

Answer:

The area of the lateral surface of the cube is 12.96 cm²

Step-by-step explanation:

The lateral surface area

4 × (1.8 cm)²

An objects lateral surface are the surfaces of the object that exclude the top and bottom surfaces

In a cube, the lateral surface are the vertically oriented (with respect to the base and the top which are then oriented horizontally) surfaces of the cube

Therefore, the lateral surface area of the cube consist of four vertically oriented equal sized faces, each with side 1.8 cm

The area of the lateral surface of the cube = The area of the four vertically oriented faces of the cube

∴ The area of the lateral surface of the cube = 4 × 1.8 cm × 1.8 cm = 12.96 cm.²

a bus traveled for 540 miles in 12 hours. was it traveling at a faster or slower rate than the car? show your work to explain

Answers

how fast is the car going??? cuz the bus is going 45 mph

Answer:

It is at 45. So you need to determine is it faster of slower. You didn't put the whole question.

Step-by-step explanation:

6th grade math help me plzzzz

Answers

Answer:

-0.9

Step-by-step explanation:

First we have to distribute. -1 times t is -1t and -1 times 8 is -8. Now, our equation will look like this: -1t - 8 = -7.1  

Next, we have to carry our -8 to the other side of the euqation. So, we have to plus 8 on both sides. -7.1 plus 8 is 0.9. Now, our equation will look like this,

-1t = 0.9.

Lastly, we have to divide -1 from both sides. 0.9 divided by -1 is -0.9. So therefore, t = -0.9.

-09 welcome have an good day
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