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.

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  

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]

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.

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.

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

Answer:   6

Step-by-step explanation:

30÷5=6

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:

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:

:)

Answer:

5 + 2x

Step-by-step explanation:

Called the unknown number "x"

The problem essentially says;

5 + 2x

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

X = 6

because 8 - 2 = 6

Answer: 18.33

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

Answer:

What's the question??

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.

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

Step-by-step explanation:

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

Answer:

its b

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

because it does not pass the vertical line test

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:

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°

Answer:

5y

Step-by-step explanation:

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

it is 5 cents :v

Cause I said so

Answer:

5 cents

Step-by-step explanation:

whaaaa

aeeeee

eeeeee

sorreee

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.

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:

Combine like terms.

Divide both sides by 18.

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

m∠ABC = (6x + 8)°

m∠DEF = (12x - 8)°

→ (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°

Answer:

720

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

Answer:59

Step-by-step explanation:

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~