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:

63.75

Step-by-step explanation:

12.75 times 5

Answer:  20, 70, 90

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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

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

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

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

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

Answer:

1. y= 2/5x+11

2. y=3x-15

2y-5x=9

Step-by-step explanation:

I did this already

Answer:

again i can not see the given point

Step-by-step explanation:

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.

Answer:

C. 7*7*7*7*7

Step-by-step explanation:

7^5 is multiplying 7 5 times

Answer:

l × b is the correct answer for this question

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]

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

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:

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

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Answer:

42

Step-by-step explanation:

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

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 :)

Answer:

y=4/5x

Step-by-step explanation:

Answer:

l

Step-by-step explanation:

Answer:

0sahxhzsxnpIJ NSO:ZH usdygfujhobhjnsxjkmajxfbsaixinsjcfmt;eiuufucckdbwdhvcubwo

Step-by-step explanation:

Answer:

=$

Step-by-step explanation:

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

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!

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

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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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

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.

Answer:

on C

Step-by-step explanation:

The point K is located at 2/4.

"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.

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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.

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.  

Answer:

15 cm

Step-by-step explanation:

6x5 divide by 2

Answer:

15 cm^2

Step-by-step explanation:

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