A school installs a ramp that will rest on a landing 2 feet high. The ramp is 24 feet long. According to building code, the ramp must not be greater than a 5° angle with the ground. What is the angle formed from the ground? Is the school in compliance with the building code? Group of answer choices

85degree; no


3degree; yes


5degree; yes


8degree; no

Answers

Answer 1

Hey there! I'm happy to help!

Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the [tex]sin^-^1[/tex] to give the the angle.

[tex]sin^-^1(2/24)=4.780191847....[/tex]

This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.

Have a wonderful day! :D


Related Questions

Kameron has 9 video games at his house. This is half as many games as Kevin has. Write an equation that demonstrates the relationship between how many games kameron and Kevin have.

Answers

Answer:

The answer is 18

Step-by-step explanation:   Because 9 + 9 = 18  so therefore Kameron and Kevin has 27 video game in total :/

Please help with my music math

Answers

true
false
false
true
true
false
true
false
false
true

Which is the correct interpretation of the x-intercepts of the function? Their difference is the number of the most promo codes in a single day. Their sum is the total number of days the number of codes increased. Their sum is the total number of promo codes the publicist is releasing before the new record. Their difference is the number of days the first promo codes were released before the new record.

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

provide brainliest plz I need that bread

Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
v(-3) =
v(0) =
v(4) =

Answers

[tex]v(x) = 14 - 3x\\v(-3) = 14 - 3 \cdot (-3) = 14 + 9 = 23\\v(0) = 14 - 3 \cdot 0 = 14 - 0 = 14\\v(4) = 14 - 3 \cdot 4 = 14 - 12 = 2[/tex]

What is 85.5 divided by 6?

Answers

Answer:

14.25

Step-by-step explanation:

Find the value of x using angle properties. What is the measure?

Answers

Answer: x = 7

Step-by-step explanation: 16x = 4x + 84

15) The value of x would be 20.

16) The measure of angle BFH would be 100.

17) The value of x is, 7

Used the concept of angles in a parallel line which states that,

if a transversal intersects two parallel lines, the corresponding angles will be always equal.

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.

Given that,

In Figure 15, both angles are corresponding angles.

And, in Figure 17, both angles are Alternate angles.

Now, by definition of Alternate and Corresponding angles we get;

17) The angles DBF and angle EFB are congruent.

So, it can be equal.

16x = 4x+ 84

Subtract 4x on both sides,

16x - 4x = 84

12x = 84

Divide 12 on both sides,

x = 84/12

Therefore, the value of x is,

x = 7

15) The angles of CBD and BFH are conguent.

So, It can be equal.

5x = 3x + 40

Subtract 3x on both sides,

5x - 3x = 40

2x = 40

Divide 2 on both sides,

x = 40/2

x = 20

16) So, the measure of angle BFH is,

∠BFH = 3x + 40

= 3 × 20 + 40

= 60 + 40

= 100

To learn more about the angle visit:;

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Solve the equation algebraically (x-8)^2=25

Answers

Hey there!

ANSWER: [tex]x=8,13[/tex]EXPLANATION:

[tex](x-8)^2=25[/tex]

To solve this equation, you will need to simplify both sides.

[tex]x^2-16x+64=25[/tex]

Now we will need to minus(subtract) 25 from both sides of the equation.

[tex]x^2-16x+64-25=25-25=x^2-16x+39=0[/tex]

Now we will need to factor out the left side.

[tex](x-3)(x-13)=0[/tex]

In our last step, we will need the set factors equal to zero.

[tex]x-3=0\\x-13=0\\x=3(ANSWER)\\x=13(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

ITS EASY PLS HELP !!!

Answers

Answer: i have no idea

Step-by-step explanation:

The square of root of 7/8?

Answers

Answer:

[tex]\frac{\sqrt{14} }{4}[/tex]

find the solution to K+1=3k-1

Answers

Answer: k=1

Step-by-step explanation: Isolate the variable by dividing each side by factors that do not contain the variable.

I hope this helps you out! :)

Step-by-step explanation:

the answer would be k=1

Simplify the following expression.
(38x+61y)-(3x-11y)


the answer is 35x+72y for plato im only putting this question up to help people with the same problem i had, ill give brainliest out to the first person who works this out and gives a intelligent response.

Answers

Answer:

35x+72y

Step-by-step explanation:

well you are subtracting the terms 3x and -11y from the terms 38x and 61y. so to start you multiply 3x and -11 by negative one to get rid of the parentheses. you then you combine like terms.

I need help on this. An answer and an explanation would be great!!

Answers

Answer:

60 & 55

Step-by-step explanation:

1. the sum of the angles 1; 2 and 3 is 180°, then

m∠1=m∠2=m∠3; ⇒m∠3=60°;

2. m∠3=m∠r; ⇒ m∠r=60°;

3. m∠α= 180-(m∠r+65°)°; ⇒ m∠α=55°

all the details are in the picture.

How do you write 28 and 65 thousandths in decimals?

Answers

Answer:

28.065

Step-by-step explanation:

The first spot behind the decimal point is tenths, the second hundredths, and the third thousandths.

If a plant grows 1/4 cm everyday for 21 days, what is the total amount of growth PLS HELP

Answers

5 inches and 1 centimeters

I need help and it’s due today

Answers

Answer:

5.63

Step-by-step explanation:

Angle NLM is equal to KLM - KLN.

Since KLM = 137° and KLN = 47°, NLM = °90. (Maybe it doesn't look like a right angle, but the math doesn't lie.)

Since NLM = 16y, then 90 = 16y.

Dividing both sides by 16, we find that:

y = 5.625

Answer:

y = 5.63

Explanation:

This answer is 5.23 because ∠KLN plus ∠NLM are equal to ∠KLM or 137°.

If you subtract 47 from 137 you will get 90. If you divide 90 by 16 you will get 5.625 which is rounded to 5.63.

IS 7 LESS THAN OR GREATER THAN -3

Answers

Answer:

7 is greater than -3

Step-by-step explanation:

7 is positive meaning is more than any negative number

Answer:

7 is greater

Step-by-step explanation:

Graph it on a number line. 7 is on the positive side and -3 is the negative side, and positive numbers always are bigger than negative numbers.

3 x² - 2x-1=0
solve using quadratic formula

Answers

Answer:

The answer to your question: x is -1/3 or 1

125 is.a perfect square or perfect cube

Answers

Answer:

Perfect cube

Step-by-step explanation:

5 x 5 x5 = 125

5x5= 25

25x5 =125

Answer:

It is a perfect cube with sides of 5.

Step-by-step explanation:

If 125 was a perfect square, there would be a whole number A which, squared, would give us 125.

[tex]A^2 = 125\\A = \pm 11.18...[/tex]

We can see that the roots are not whole numbers.

(Tip: without a calculator, we can find this by testing [tex]10^2 \ 11^2\ 12^2[/tex] to see if any give us 125. We get 100, 121, 144 respectively. None of them is 125.)

If it was a perfect cube, there would be a whole number B which, cubed, would give us 125.

[tex]B^3 = 125\\B = \sqrt[3]{125} \\B = 5[/tex]

As we can see, there IS a whole number B: 5 !

(Without a calculator, like the previous one, we could try [tex]4^3\ 5^3\ 6^3[/tex] and we'd find that [tex]5^3[/tex] = 125)

Answer: It is a perfect cube with sides of 5.

It takes_ hours to reach the sea.

Answers

Answer:

it takes 1 hours to reach the sea.

Answer:

It takes 0.02 hours to reach the sea

Step-by-step explanation:

The answer is 0.02 hours because:

1) You have to divide 0.5 and 21

2) The answer would be: 0.0238095238

3) Now, round you answer to the nearest hundredth.

4) Your answer will be 0.02

Hope this helps!

t=h+kg isolate g rearrange the formula above

Answers

Answer:

[tex]\frac{\left(t-h\right)}{k}\\[/tex] = g

Step-by-step explanation:

Subtract the h

t = h+kg

-h  -h

you get:

t-h=kg

now divide the k from both sides

[tex]\frac{\left(t-h\right)}{k}\\[/tex] = [tex]\frac{\left(kg\right)}{k}[/tex]

so,

[tex]\frac{\left(t-h\right)}{k}\\[/tex]=g

(x+5)(x-5) Multiplying special case polynomials

Answers

Answer:

x^2 - 25 ✔

Step-by-step explanation:

(x+5)(x-5)

x(x-5) +5(x-5)

x^2 - 5x + 5x - 25

x^2 - 25

3x + 1 = 5X-13 if anyone knows what to do can they please help ​

Answers

Answer:

  x = 7

Step-by-step explanation:

First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).

If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.

I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.

  3x -3x +1 = 5x -3x -13

  1 = 2x -13 . . . . . . . . . . . . combine like terms

Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:

  1 +13 = 2x -13 +13

  14 = 2x . . . . . . . . . . . . combine like terms

Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.

  (1/2)(14) = (1/2)(2x)

  7 = x . . . . the solution

__

It is generally a good idea to check your work by seeing if your solution value satisfies the equation:

  3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation

  21 +1 = 35 -13

  22 = 22 . . . . . . x = 7 is the solution

_____

Additional comment

By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...

  -2x +1 = -13

Subtracting 1 would give

  -2x = -14

and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.

An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is _______ = 180. Angles congruent with each measure ________

Answers

Hey there! I"m happy to help!

The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.

We subtract 138 from both sides.

2x=42

We divide both sides by 2

x=21.

Have a wonderful day! :D

2 bracket 2x-2 bracket=12

Answers

x = 4

my reasoning: I did 12 divided by the 2 on the outside of the brackets to get 6. Then I knew the equation inside the brackets would have to equal six. Then I multiplied different numbers by 2 and subtracted 2 from the product. I came up with x = 4. Therefore, 2x4=8, 8-2=6, and 6x2=12.

Find tan(13pi/4)-cos(pi/3)

Answers

Answer: [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex]

Step-by-step explanation:

To find [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})[/tex], we first need to understand the unit circle. Let's find the value of tan and cos before we subtract them.

[tex]tan(\frac{13\pi }{4} )[/tex] is the same as [tex]tan(\frac{5\pi }{4} )[/tex]. The point for [tex]\frac{5\pi }{4}[/tex] is (-0.5,-0.5). Tangent is [tex]\frac{sin}{cos}[/tex]. Since sin and cos are both -0.5, we can divide them.

[tex]\frac{-0.5}{-0.5} =1[/tex]

Now, we know that [tex]tan(\frac{13\pi }{4} )=1[/tex]. All we have to do is find [tex]cos(\frac{\pi }{3})[/tex].

[tex]cos(\frac{\pi }{3})=\frac{1}{2}[/tex]

Now that we know the values of both, we can directly subtract them.

1-0.5=0.5

Therefore, [tex]tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}[/tex].


m. MRO = 127° m. MRP = 87º and m. NRQ = 83
Find m NRP

Answers

Answer:

don't know answer what is answee

Find a2 and a3. a1=–5 an=6an–1 Write your answers as integers or fractions in simplest form. a2= a3=

Answers

you have to minus the 1 from the 6am

The value of a2 and a3 given the formula an = 6an – 1 are -61 and -91 to respectively

Given:

an = 6an – 1

where,

a1, = first term= -5

n = number of terms

a2 = second term

a3 = third term

an = 6an – 1

a2 = (6 × -5 × 2) - 1

= (-60) - 1

= -60 - 1

a2 = - 61

an = 6an – 1

a3 = (6 × -5 × 3) - 1

= -90 - 1

a3 = -91

Therefore, the value of a2 and a3 are -61 and -91 respectively

Read more:

https://brainly.com/question/10694174

Perform the row operation 1/3R1 and replace R1 on the following matrix
[3 0 0|21]
[0 6 0|5]
[0 0 7|5]

Answers

Answer:

[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]

Step-by-step explanation:

The given augmented matrix is

[tex]\left[\left.\begin{matrix}3 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}21\\ 5\\ 5\end{matrix}\right][/tex]

Here, we need to perform the row operation [tex]\dfrac{1}{3}R_1[/tex] and replace [tex]R_1[/tex] in the above matrix.

So, divide each element of [tex]R_1[/tex] in the given matrix and other elements remain same.

[tex]\left[\left.\begin{matrix}\dfrac{3}{3} & \dfrac{0}{3} & \dfrac{0}{3}\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}\dfrac{21}{3}\\ 5\\ 5\end{matrix}\right][/tex]

[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]

Therefore, the required matrix is  [tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex].

4. Which expression represents a number greater than 8,000 but smaller than 80,000 ​

Answers

Answer:

8000<x<80000

Step-by-step explanation:

a number(x) is greater than (<) 8000

and x is also less than(<) 80000

Write a system of inequalities to match the graph and prove that the coordinate point (-10, -14) is in the solution set

Answers

Answer:

y < x - 2

y ≥ 2x + 5

Step-by-step explanation:

For the equation of the dotted line,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since the dotted lines passes through the points (-7, -9) and (2, 0)

Slope = [tex]\frac{-9-0}{-7-2}[/tex]

    [tex]m_1[/tex] = 1

Therefore, equation of the line passing through (2, 0) and slope = 1 will be,

y - y' = m₁(x - x')

y - 0 = 1(x - 2)

y = x - 2

Since, shaded area is below the dotted line,

y < x - 2 will be the inequality.

Slope of the solid line passing through (-7, -9) and (0, 5) is,

[tex]m_2=\frac{-9-5}{-7-0}[/tex]

     = 2

Therefore, equation of the line passing through (0, 5) and slope = 2 will be,

y - 5 = 2(x - 0)

y = 2x + 5

Since, the given line is a solid line and shaded area is above the line,

y ≥ 2x + 5 will be the inequality.

Since, (-10, -14) is lying in the common shaded area of both the inequalities, it will be the solution set of the graphed inequalities.

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