Mr. Verloove needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a total of 3 feet to get from the ground to the entrance of the building. In order to follow the state building code, the angle formed by the ramp and the ground cannot exceed 4.75 degrees.

Mr. Verloove has plans from the planning department that call for the ramp to start 25 feet away from the building. Will this ramp meet the state building code?

Answers

Answer 1

9514 1404 383

Answer:

  no

Step-by-step explanation:

The angle of the ramp as designed by the planning department is ...

  tan(angle) = (3 ft)/(25 ft)

  angle = arctan(3/25) ≈ 6.84°

This angle exceeds the required 4.75°, so does not meet code.

Mr. Verloove Needs To Build A Wheelchair Access Ramp For The School's Auditorium. The Ramp Must Rise

Related Questions

In ΔJKL, k = 490 cm, l = 830 cm and ∠J=49°. Find ∠L, to the nearest degree.

Answers

Answer:

95

Step-by-step explanation:

A student answered 49 problems on a test correctly and received a grade of 98%. How many problems were on the test, if all the problems were worth the same number of points?

Answers

Answer:

50 questions.

Step-by-step explanation:

if you divide 100 by 49 you get 2.04 round down, each question is 2 points per question and the student got a 98% then just multiply 49 by 2 just to make sure, then go up. 50 times 2 is 100%, so the answer is 50 questions

find the value of x

Answers

Answer:

31.8 that is it I just need to fill a 20 character long answer

31.8 other fellow person beat me to it lol

What is 25.48271 increased by 45 thousandths?

Answers

Answer: 25.52771

Step-by-step explanation:

i got this answer and it was right :D

The required answer would be 25.48271 if 25.48271 increased by 45 thousandths.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

We have been given that 25.48271 increased by 45 thousandths.

Therefore, 25.48271 + 45/1000

⇒ 25.48271 + 0.045

⇒ 25.52771

Hence, the required answer would be 25.48271.

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A movie theatre charges adults $10 to see a movie and charges children $6. If there wereq 120 people who saw a movue and the theatre collected $928, home many attendees were adults

Answers

Answer:

The number of adults tickets sold equals 52.

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of adults tickets sold

y= number of kids tickets sold

10x + 6y= 928

x + y=120

Now, we isolate x in one equation and change it in the other to obtain its value:

x= 120 - y

10(120 - y) + 6y = 928

1,200 - 10y + 6y = 928

272 = 4y

68 = y

x= 120 - 68= 52

how many solutions does 9x-18=3(3x-6)have?​

Answers

Answer:

0

Step-by-step explanation:

9x-18=3(3x-6)

3(3x-6)=9x-18

9x-18=9x-18

9x-9x=0

-18+18=0

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

9x - 18 = 3 (3x - 6)

The equation 9x - 18 = 3 (3x - 6) has infinitely many solutions.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

Example:

2x + 3 = 5

2 x 1 + 3 = 5

2 + 3 = 5

5 = 5

Where x = 1 is a solution.

We have,

9x - 18 = 3 (3x - 6)

9x - 18 = 9x - 18

Whatever value we put for x we will always get the same in both sides of the equation which means the equation is satisfied.

We see that the equation is equivalent.

This means the equation will have infinitely many solutions.

Thus,

The equation 9x - 18 = 3 (3x - 6) has infinitely many solutions.

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If $500 is put in the bank and each year the account earns 8% simple interest, then how much interest will be earned in five years?
a) $200
b) $250
c) $280
d) $310

Answers

Answer:

Step-by-step explanation:

what is 1.7 to the third power

Answers

Answer:

4.913 is your answer

gggggggggggggggggggggghhhggggggggg

Answer:

1.7x1.7x1.7=4.913

Step-by-step explanation:

1.7 to the third power equals 4.913. it is written like this: 1.7³

Quick plzzzz hurry need help

Answers

It’s the one that has the circle ⭕️

Help please and thank u!!!

Answers

Answer:

It’s a graph and we can’t help you but you can plug the equations into desmos (an online graphing calculator) to generate a line

the answer is -6x+2y=3/2

work:


The graph shows the function
f(x) = x4 + 2x3 – 13x2 – 14x + 24. Find the number of
terms.

Answers

x4, 14x are the terms so there’s 2 in total hope that helps
can i be marked brainliest please

In the given function number of terms is 5.

What is the number of terms?

Polynomials are algebraic formulas with any number of terms joined by addition or subtraction. A term is a number, a variable, or a product of a number and one or more exponentiated variables. Similar words (variables raised to the same power) can be joined to simplify a polynomial.

Given a function f(x) = x4 + 2x3 – 13x2 – 14x + 24 which has 5 Non-Zero coefficients. Therefore the number of terms is 5 in the given Function.

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The quadratic parent function, f(x) = x, is graphed on a coordinate plane. The graph of g(x)
is transformed to create the graph g(x) = 3f(x) +5. Which statement about the relationship
between the graph of f and the graph of g is true?

Answers

Answer:

true

Step-by-step explanation:

PLEASE HELP WITH QUESTION

In January, the ratio of the number of butterflies to the number of bees in a garden was 7 : 3. In February, the butterfly population decreased by 20% while the bee population increased by 30%.
(a) What was the percentage change in the combined butterfly and bee population?
(b) If there were 168 butterflies left in February, what was the butterfly population in January?

Answers

Answer:

a) The percentage change in the combined butterfly and bee population was a decrease of 5%.

b) The butterfly population in January was 210.

Step-by-step explanation:

In January, the ratio of the number of butterflies to the number of bees in a garden was 7 : 3.

This means that:

[tex]\frac{x}{y} = \frac{7}{3}[/tex]

In which x is the number of butterflies and y is the number of bees.

In February, the butterfly population decreased by 20% while the bee population increased by 30%.

This means that:

[tex]\frac{x}{y} = \frac{7*(1-0.2)}{3*(1+0.3)} = \frac{7*0.8}{3*1.3} = \frac{5.6}{3.9}[/tex]

(a) What was the percentage change in the combined butterfly and bee population?

January: 7 + 3 = 10

February: 5.6 + 3.9 = 9.5

Change

[tex]100*\frac{9.5-10}{10} = -\frac{50}{10} = -5[/tex]

This means that the percentage change in the combined butterfly and bee population was a decrease of 5%.

(b) If there were 168 butterflies left in February, what was the butterfly population in January?

February is 80% of January, for the population of butterflies. So

[tex]0.8x = 168[/tex]

[tex]x = \frac{168}{0.8}[/tex]

[tex]x = 210[/tex]

The butterfly population in January was 210.

kamisah cut 2-m piece of cloth from a roll if fabric. It was 8% of the lenght of the entire roll of fabric. Find the lenght of cloth left in the roll of fabric​

Answers

Answer:

Length of cloth left in roll  = 23 m

Step-by-step explanation:

Given:

Length of piece Kamisah cut = 2 m

Percent of piece Kamisah cut = 8%

Find:

Length of cloth left in roll

Computation:

Total Length = 2 [100/8]

Total Length = 25 m

Length of cloth left in roll  = Total Length - Length of piece Kamisah cut

Length of cloth left in roll  = 25 - 2

Length of cloth left in roll  = 23 m

I need help plz and fast

Answers

Answer:

1

Step-by-step explanation:

1+19=20

so only 1 visit is available if they only have $20 to use.

Answer:

1

Step-by-step explanation:

19+1=20

Alex's times for running a mile are Normally distributed with a mean time of
5.28 minutes and a standard deviation of 0.38 seconds. Chris's times for
running a mile are Normally distributed with a mean time of 5.45 seconds
and a standard deviation of 0.2 seconds. Ten of Alex's times and 15 of Chris's
times are Tandomly selected. Let x Overbar Subscript Upper A Baseline
minus x Overbar Subscript Upper C represent the difference in the mean
times for Alex and Chris. Which of the following represents the shape of the
sampling distribution for x Overbar Subscript Upper A Baseline minus x
Overbar Subscript Upper C?

Answers

Answer: Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds. Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds. Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris. Which of the following represents the shape of the sampling distribution for x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C?

Normal, because both population distributions are Normal.  

Uniform, because the both sample sizes are less than 30.

Skewed right, because the difference in times cannot be negative.

Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.

Step-by-step explanation: Can someone tell me the answer?

Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.

Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds.

Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds.

Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris.

What is the standard deviation?

The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Normal, because both population distributions are Normal.  

Uniform, because both sample sizes are less than 30.

Skewed right, because the difference in times cannot be negative.

Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.

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What is the area of the trapezoid?
11 cm
15 cm
17 cm
19 cm
square centimeters

Answers

The answer to your question is 17

The distance between the points(-3, -5) and (2,7) on the coordinate plane is given as 5^2+ t^2. what us the value of t​

Answers

Answer:

Step-by-step explanation:

so we can use [tex]t^{2}[/tex] + 25  as one expression and the find the distance between the points and set the expression equal to that number.  That's our strategy.

dist = the square root  of [tex]x^{2}[/tex]  + [tex]y^{2}[/tex]  

where x and y are the change in x2 to x1 and y2 to y1

P1 = ( -3, -5)

P2 = (2, 7 )

dist = square root of (  [2 -(-3) ]^2  + [7-(-5)]2)

dist = sq rt  ( 5^2 + 12^2 )

dist = sq rt ( 25 + 144)

dist = sq rt (169)

dist = 13

now set our eq.  equal to that number

[tex]t^{2}[/tex] + 25 = 13

[tex]t^{2}[/tex] = -12

this is looking kinda bad, do you know complex numbers?

t = 0 + j 3.46410

hmmm  I'm wondering if you've  left out .. or forgotten some thing in the question?   :/

how do i do this i dont know.

Answers

[tex]\frac{1}{3}[/tex] yessssss sirr

Ollie used 1/2 cup of vegetable oil to make brownies. She used another 1/3 of oil to make muffins. How much more oil did she use to make brownies?

Answers

Answer:

1/6 cups more

Step-by-step explanation:

1/2=3/6

1/3=2/6

3/6-2/6=1/6

can someone help me? please.

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{3}{11} = 0.2727272727[/tex]

27 is repeating so you draw a line over the number

Answer: 0.27 thats the answer hope you pass your grade

1.) what does X equal 4x = -12
2.)

Answers

Answer:

-3

Step-by-step explanation:

this is x equals to -3

we can divide the 4 to other side

the answer is -3

explanation:
divide 4 by both sides

Solve the algebraic expression word problem if there are 15 less boys than girls in a class then how many girls are there in the class

Answers

Answer:  b+15 = g

Step-by-step explanation:

g = girls

b= boys

t= total students

If you wanted to solve it a different way you would do this:

(b + 15) + b = t

 

!! This one too!! anybody

Answers

Answer:

-2/5

Step-by-step explanation:

You can solve this by doing that rise/run

rise/run = -2/5

Slope = -2/5

Yes the answer -2/5 good luck and have a nice day.

Carlos has 47 boxes that each have 10 markers. He gives 36 markers away.
How many markers does Carlos have left?
A. 93
B. 110
C. 434
D. 446
E. 506

Answers

C. since 36 means 30.6 markers minus that means he has 44 and then times by 10

Divide. Write the answer as a decimal.
4.705 ÷ 25 =

Answers

Answer:

the answer is 0.1882

A student evaluates x2 - 2y when x = 6 and y = 3 and gets the answer 0. If the answer is not correct, which is the most plausible error that would
lead to the answer that the student obtained?
The student incorrectly calculated x in the following manner: x² = 62 = 36.
The student accidentally swapped the variables. Instead of calcuating x– 2y, he or she calculated y? - 2x
There is no error. The student's answer is correct.
The student failed to square the x part. This led to calculating r as 6 instead of 36.

Answers

Answer:

D

Step-by-step explanation:

D provides the only instance where the student would have gotten 0.

Solveequation.
a. 5(n – 4) = -60

Answers

Answer:

n = -8

Step-by-step explanation:

Answer:

-8

here's the solution

5(n - 4) = -60

5n - 20 = -60

5n = -60+20

5n = -40

n = -40/5

n= -8

hope it helps

Tomás earned $38.25 for cleaning the garage. He was paid $4.25 per hour. Write and solve an equation to find how many hours it took him to clean the garage.

WRONG ANSWERS REPORTED
RIGHT ANSWERS GET BRAINLIEST

Answers

Answer:    it took him 9 hours

the equation is x=38.25/4.25 x is 9

A population of birds is growing exponentially at a rate of 4% per year. If the initial population contains 12 birds, write an equation that represents the population of birds in (x) years.

Answers

it would be something like this:

f(x) = 12 + x(4%)

but if you want it in y format then:

y = 12 + x(4%)

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