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

what is 333x2+999-999 divided by 2 =

Answers

Answer:

333×2+999-999÷2= 333

Step-by-step explanation:

Answer:

333

Step-by-step explanation:

333 x 2 = 666

666 divided by 2 = 333

999 - 999 = 0, so it doesn't do anything to the final number

The answer is 333

hope this helped~

what is 5.3635 rounded to the nearest thousandth

Answers

Answer:

5.364

Step-by-step explanation:

5.3635 is the given number, and because the number next to the thousandths is a five, the number in the thousandths place can be rounded to 4.

WILL GIVE 30 points if answers

Answers

Answer:

Step-by-step explanation:

p1(-3,2) p2(2,6)

find the slope of the line between these two points

m= 6-2 /2-(-3)

m=4/5

find the slope of the line between p2 and p3(8,-1)

m=-1-6 /8-2

m=-7 / 6

dist= sqrt( (8-(-3))^2+(-1-2)^2)

dist = 11.40175    (1 to 3)   hyp

dist = sqrt( (8-2)^2 + (-1-6)^2)

dist = 9.219544  (2 to 3)

dist = sqrt( (2-(-3))^2 + (6-2)^2)

dist = 6.403124 ( 1 to 2)

use law of cosines to find an angle

law of cosines cos(C) = (a^2+b^2-c^2) / (2ab) =97.61°

cos(A) = (b^2+c^2-a^2) / ( 2bc) = 32.23°

cos(B) = (a^2+c^2-b^2) / (2ac) =50.16°

do the same process as above but for the points in 23

This took me a few hours  :/   granted  I took a break for dinner but still .. pay me for that much work  :D..     if you can't get  23 later re post question I'll work on it later  

Kiran read for x minutes,and Andre read for 5\8 more than that write an equation that relates the number of minutes Kiran read with y,then number of minutes that Andre read.

Answers

Answer:

[tex]y = \frac{5}{8} + x[/tex]

Step-by-step explanation:

Given

[tex]Kiran = x[/tex]

[tex]Andre = y[/tex]

[tex]Andre = \frac{5}{8}\ minutes\ more[/tex]

Required

Write an equation that represents the scenario

[tex]Andre = \frac{5}{8}\ minutes\ more[/tex] means that Andre read 5/8 minutes more than Kiran and this can be represented as:

[tex]Andre = \frac{5}{8} + Kiran[/tex]

Substitute x for Kiran

[tex]Andre = \frac{5}{8} + x[/tex]

Substitute y for Andre

[tex]y = \frac{5}{8} + x[/tex]

The product of a number -7 is 63.

Answers

Answer:

What's the question??

i’ll give u brainliest!!
what are the areas for shape 1,2 and 3

Answers

Answer:

I think it is

1: 22.37

2:16.81

3:83.16

Step-by-step explanation:

Answer:

Shape 1: 22.365

Shape 2: 16.81

Shape 3: 83.16

Step-by-step explanation:

I'm going to start with 2, because its the easiest shape to do, which is 4.1*4.1= 16.81. Next is 3, which you find the length by adding 4.1 to 9.1 = 13.2. You then multiply 13.2 by 6.3 = 83.16. Finally for shape 1, you first find the bottom shape,  which you do by dividing 6.3 by 2 so you can get the width of half the triangle. That is 3.15. then you multiply that by 7.1 to get the area of 22.365.

A group of friends wants to go to the amusement park. They have no more than $165
to spend on parking and admission. Parking is $5.25, and tickets cost $17.75 per
person, including tax. Write and solve an inequality which can be used to determine
X, the number of people who can go to the amusement park.
Inequality:

Answers

Answer:

17.75x + 5.25 [tex]\leq[/tex] 165

x [tex]\leq[/tex] 9

Step-by-step explanation:

The total cost can be represented by 17.75x + 5.25, where x is the number of people.

They can only spend a maximum of $165, so a less than or equal sign has to be used.

The inequality will be 17.75x + 5.25 [tex]\leq[/tex] 165

Now, solve for x:

17.75x + 5.25 [tex]\leq[/tex] 165

17.75x [tex]\leq[/tex] 159.75

x [tex]\leq[/tex] 9

So, x [tex]\leq[/tex] 9 is the answer, meaning 9 people or less can go to the amusement park.


A teenager’s heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?

Answers

Answer:

300L per hour

Step-by-step explanation:

The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.

Rate of change of volume of blood = [tex]\frac{volume of blood}{time}[/tex]

                           = [tex]\frac{7200L}{24}[/tex]

                           = 300L/hour

The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.

Math graphing and solution ​

Answers

Step-by-step explanation:

what do you mean bro???????

whatttt you sayyyyyyy

If t = the tens digit and u = the ones digit, which expression shows the value of reversing the digits in a two digit number? u + t 10u + t u + 10t

Answers

Answer:. 10u + t

Step-by-step explanation:

The value of the units digit is multiplied by 10 when it moves to the tens place.

Answer:

10u+t

Step-by-step explanation:

Pls helppp and thank you

Answers

Answer:

∠ 2 = 60°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles fro 180° for ∠ 2, that is

∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°

what is the quotient 5 divided by 30

Answers

Answer:   6

Step-by-step explanation:

30÷5=6

Question 1
Simplify
5y - 2y + y + y

Answers

Answer:

5y

Step-by-step explanation:

Can someone help me with number 4

Answers

Answer:59

Step-by-step explanation:

Help? Show work!
m∠ABC=(6x+8)° and m∠DEF=(12x-8)°.
If ∠ABC and ∠DEF are supplementary,what
is the measure of each angle?

Answers

Answer:

m∠ABC = 68°

m∠DEF = 112°

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (they form a straight line).

If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:

(6x + 8) + (12x - 8) = 180

Combine like terms.

18x = 180

Divide both sides by 18.

x = 10

Find the measure of each angle by substituting 10 for x into both expressions for the angles.

m∠ABC = (6x + 8)°

6(10) + 8 = 68°

m∠DEF = (12x - 8)°

12(10) - 8 = 112°
Answer :

→ (6x + 8) + (12x - 8) = 180°

→ 6x + 8 + 12x - 8 = 180°

→ 18x = 180°

→ x = 180 ÷ 18

→ x = 10°

Now, we are given that m∠ABC = (6x+8) just subsitute the value of x in it .

→ m∠ABC = (6x + 8)

→ m∠ABC = (6 × 10 + 8)

→ m∠ABC = 60 + 8

m∠ABC = 68°

Similarly, subsitute the value of x in m∠DEF = (12x - 8)° we get :

→ m∠DEF = (12x - 8)°

→ m∠DEF = (12 × 10 - 8)

→ m∠DEF = 120 - 8

m∠DEF = 112°

X +2 = 8


What is X in this problem/situation ?????????????

HELP ME!!!!!!!!!!!!! Plzzz

Answers

X = 6

because 8 - 2 = 6

X=6
2=8
-2=-2
X=6.
You’re welcome;)

What is the Mark the absolute minimum point of the graph

Answers

Answer:

is in the point x = 1, y = -5

Step-by-step explanation:

The absolute minimum of a graph is the point that is the most far below the x-axis.

Such that if we draw a horizontal line parallel to this point, this line should not intersect the graph in another point. It is usually associated with the lowest value of the variable y.

In the graph, we can see that in the extremes we have dots, so the graph does not continue.

Then we can be sure that the absolute minimum is at the bottom of the large curve, that is in the point x = 1, y = -5

what is 2 thirds of 19 divided by 2plus 3 multiplied by4​

Answers

Answer: 18.33

Step-by-step explanation: I mean the real answer was : 18.3333333333

Only answer if it's 1000000000% Correct UwU
If the cost of a bat and a baseball combined is $1.10 and the bat costs $41.00 more than the ball, how much is the ball?

Answers

it is 5 cents :v

Cause I said so

Answer:

5 cents

Step-by-step explanation:

Divide. 2/5 ÷ 5/6 Express your answer in simplest form.​

Answers

Answer:

6/25 or 0.48

Step-by-step explanation:

0.4 / (5/6)=0.48

48/100=24/50

24/50=6/25

Answer:

12/25!

Step-by-step explanation:

:)

Which of these two expressions represent the phrase “five plus two times a number”?

Answers

Answer:

5 + 2x

Step-by-step explanation:

Called the unknown number "x"

The problem essentially says;

5 + 2x

What is the ratio of boys to girls in Mrs. Carlton's class, which has a total of 31 students, 14 of whom are girls?

Answers

Answer:

17:14 or 17 to 14

Step-by-step explanation:

since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14

Help me please!!!!!!!!

Answers

Answer:

x = 1.8

Step-by-step explanation:

Given

2.5(10x - 16) = 5 ( divide both sides by 2.5 )

10x - 16 = 2 ( add 16 to both sides )

10x = 18 ( divide both sides by 10 )

x = 1.8

Point slope help me out please

Answers

Answer:

Slope for AB is 0

Step-by-step explanation:

Y=b

Y = -2

Y= y-intercept because there is no slope so y=b instead of y=mx+b

Write the equation for the line that has a slope of 2 and passes through the point (5,4).
plssss show your work plssss thx

Answers

we can plug this into the equation of y=mx+b to get

4=2(5)+b

4=10+b
-10 -10

-6=b


y=2x-6

Ann used 5 2/3 gallons of gas on Sunday and 1 1/4 gallons of gas on Monday. How many more gallons of gas did she use on Sunday?

Write your answer as a mixed number in simplest form.

Answers

Answer:

116/8 - 87/8 = 29/8 = 3 5/8 gal

Step-by-step explanation:

please help me with triangle angles. due today !

Answers

Answer:

12

Step-by-step explanation:

8x-1+3x+4+3x+9=180

14x+12=180

14x=180-12

x=168/14

x=12

Answer:

8x-1+3x+9+3x+4=180

8x+3x+3x=180+1-9-4

14x=168

x=12

Step-by-step explanation:

Mike paid $300 to join a gym, for one year, including a membership fee of $60. What is the monthly cost? Write
and solve an equation. Let m represent the monthly cost.

Answers

Answer:

720

Step-by-step explanation:

60×12=720 so the monthly yearly coast would be 720

Decide whether the graph shown below is a function or not.

A) yes, its a function
B) No, it is not a function

Answers

Answer:

its b

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

because it does not pass the vertical line test

Can some one plz help fast F=-m+B/q^3

Answers

whaaaa

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sorreee

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