Ramps in a parking garage need to be safe and steep. The maximum safe incline for a ramp at 8.5°. Is this ramp safe? Explain how you know using your math to justify your answer.
NEED ASAP PLEASE

Ramps In A Parking Garage Need To Be Safe And Steep. The Maximum Safe Incline For A Ramp At 8.5. Is This

Answers

Answer 1

Answer:

No. It is not safe.

Step-by-step explanation:

If the maximum safe incline for a ramp is said to be 8.5°, it means that the incline of any ramp that is greater than 8.5° is not safe.

Let's find the angle measure of the incline in the diagram given to ascertain whether it is safe or not.

Opposite side to angle of inclination = 20

Adjacent side to angle of inclination = 100

Apply the trigonometric function, TOA, which is:

Tan θ = Opp/Adjacent

Tan θ = 20/100

Tan θ = 0.2

θ = Tan^{-1}(0.2)

θ = 11.3099325° ≈ 11.3°

Angle of inclination for the ramp shown = 11.3°.

This is not safe because it has exceeded the maximum safe incline for a ramp which should be 8.5° maximum.


Related Questions

5.2 divided by what equals 0.052

Answers

the answer is .01 bc 5.2*.01= 0.052

please help if you do thanks :) question 2

Answers

Answer:

When we have a random function like:

y = f(x)

If there is no clarification, the domain will be the set of all real numbers except the ones that may make a problem.

For example, if there is some value of x such that there is a denominator equal to zero, then that particular value of x is not in the domain of f(x) (because we can not divide by x)

Something similar happens when we have a square root, remember that:

√x

Is a complex number if x < 0.

Then if we have a function like:

y = √x

The domain will be the set of all reals such that x ≥ 0.

Then the procedure to find the domain is to find the inputs that may have problems, and "remove" them from the domain.

For the range, we need to first know the domain, then we can evaluate the function in different points of the domain and see the outputs. Once we know all the outputs, we know the range of the function.

Usually, when working with continuous functions, these may have a global maximum M and a global minimum m, then the range is:

m ≤ Y ≤ M

if not, then the range is the set of all real numbers.

please help me !! find the missing sides

Answers

Answer:

B

Step-by-step explanation:

Hello There!

That is a 45-45-90 special right triangle

so we use the same rules provided in the image

y is = to 10

x is = to [tex]10\sqrt{2}[/tex]

so we can conclude that the answer is B

A television originally cost t dollars, including tax. Ricardo purchased the television when it was on sale for 35% off its original cost. Which of the following expressions represents the final cost, in dollars, of the television Ricardo purchased?

A. t - 0.35
B. t + 0.65
C. 0.35t
D. 0.65t

Answers

0.65t is the correct answer

The cost of the television Ricardo purchased is A = 0.65t , where t is the initial cost

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the initial cost of television be = t

Let the percentage of discount on television = 35 %

If the original cost of the television was t dollars, then the sale price would be 65% of the original cost, or 0.65t dollars (since the television is on sale for 35% off).

However, this sale price still includes tax, so we need to subtract the tax from the sale price to get the final cost.

Let's say the tax rate is r (as a decimal), then the final cost would be:

A = 1 - ( 0.35 )t

A = 0.65t

Hence , the expression that represents the final cost of the television that Ricardo purchased is (D) 0.65t

To learn more about percentage click :

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What is 3 divided by 1/3?

Answers

Answer:

It will be 9

hope this helps

Answer:

9

Step-by-step explanation:

3/1 ÷ 1/3 = 3/1 · 3/1 = 9

3 people can build a shed in 8 hours how long would it take 5 people give your answer in minutes

Answers

Answer:

798 minutes

Step-by-step explanation:

can someone please help me. my grade is very low in this class although i have no idea how to do this PLEASE HELP!!

Answers

Answer:

download symbolab or download photo math it gets I covered on most of that your grade should go up

Answer: How to solve equations

Step-by-step explanation:

You have to use Pemdas the order of operations to solve these types of equations.

Parenthesis,Exponents,multiplication,Division,Addition,subtraction.

Multiplication and division fit in a group left to right.

Addition and subtraction come last but depends on which comes first left to right.

Here you first have to use the distributive property.

3(y+5)=39 multiply 3 times y that gives you 3y. Then multiply 3 times 5 that gives you 15 . So, now you have simplified the left side of the equal sign so you have 3y+15=39 now subtract 15 from both sides and you get 3y=24 then you divide both sides by 3 to get y=8. What I just went over you do again and again to solve all these types of equations. Your trying to solve for the variable so you try to get y or m or n or any variable by itself.

Which shapes can the composite figure be divided into to find the area?

O a rectangle and a triangle
O a rectangle and two triangles
O a trapezoid and a rectangle
O a trapezoid and two triangles

Answers

A rectangle and two triangles

Look at the picture.
Thank u!

Answers

Answer:

option 2

Step-by-step explanation:

Step-by-step explanation:

option 2 is the right answer... I m sure , the formula is 1/2 × base× height...

Find the arc length along a circle of radius 10 subtended by an angle of 215 degrees

Answers

Answer:

arc = 25.29

Step-by-step explanation:

first find the circumference:

C = 2r(Pi) = 2(10)(3.14) = 62.8

since subtended, then we're looking for these opposite angle of 215 degrees:

360 - 215 = 145 degrees

62.8/360 = 0.1744 per degree

0.1744 x 145  = 25.29

Can the sides of a triangle have lengths 2, 6, and 9

Answers

Answer:

no.

Step-by-step explanation:

the sum of the two smallest sides of the triangle must be greater than the largest side in order to form a triangle. 2+6<9

Graph f(x)=|x+1|+2. Shows vertex and 4 points.

Answers

Answer:

[tex](-1,2)[/tex]

Step-by-step explanation:

The vertex of [tex]f(x)=|x|[/tex] is [tex](0,0)[/tex]

The +1 inside the absolute value horizontally shifts the graph 1 unit to the left.

The+2 outside the absolute value vertically shifts the graph 2 units upward.

So, the vertex of the graph of [tex]f(x)=|x+1|+2[/tex] is [tex](-1,2)[/tex]

Vertex: (-1,2)
Here’s the graph

Somebody help me with this

40 points ☺️

Answers

Bet......................hbd

Calculator
A worker at a computer factory can assemble 8 computers per hour.
How long would it take this worker to assemble 200 computers?
08h
o 20 h
0 25 h
0 200 h

Answers

Answer:

25 Hours

Step-by-step explanation:

200 computers divided by 8 an hour gives you 25 hours to assemble the computers.

200 ÷ 8 = 25

I hope this helps. ^^

PLS HELP!
0.99 is what percent of 9.90?

Answers

Answer:

10%

Step-by-step explanation:

first let's write out the problem

0.99 is what percent of 9.90     =        0.99=9.90*x

We need to   what c is so we would do the opposite operation of multiplication, division so we get,

0.99/9.90= .1

now we turn .1 into  percent and get out answer

0.1= 10%

Answer:

Step-by-step explanation:

ahh that's like a math tongue twister  :P

so just remember that when you are given the final amount, as the 0.99 is,  then you want to divide by the total, like this

0.99 / 9.90 =  

we don't really need a calculator for this,  b/c you can see that the answer will come out to a one,  but, where is the decimal, huh

my calculator put the decimal here  0.1

so that's 10% right?  which totally makes sense.. right?    0.99 is 10% of 9.90... just move the decimal one place in the 9.9 to get  .99  see?  so that kinda helps us know where the decimal goes in the answer, if that make sense? The decimal gets moved one place to the  LEFT  of the one, in our answer when we just did the math in our head.

anyway.. leave a comment if you have more questions :)

Find the mean: 17.4 mm, 20.3 mm, 84.1 mm, 31.2 mm, 53.7 mm, 11.7 mm

Answers

the mean is 36.4 to verify what the other person is saying :)

Under a periodic inventory system, closing entries will include

debits to Sales, Purchases Returns and Allowances, and Purchases Discounts

credits to the Allowance for Doubtful Accounts

adjustments to the merchandise inventory account to match physical inventory

all of these

Answers

Answer:

0.285714285 nearest thousandth

A + A =2,A + B =3,A + B × 2 =??..only for geniuses​

Answers

Answer: 5

Step-by-step explanation:

Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses. (Round squared deviations to nearest whole number and final answers to 2 decimal places.) Advertising Expenditure ($ millions) Number of Companies 25 up to 35 5 35 up to 45 10 45 up to 55 21 55 up to 65 16 65 up to 75 8 Total 60
Mean
Standard deviation

Answers

The estimated mean of advertising expenses is $52 million, and the estimated standard deviation is $11.23 million.

To estimate the mean and standard deviation of advertising expenses, we need to calculate the midpoint of each class interval, the product of the midpoint and the frequency, and the squared deviation from the mean.

Here's a table to organize the calculations:

Class Interval (x)     Frequency (f)     Midpoint (x)       fx

25 up to 35                   5                       30                 150

35 up to 45                   10                      40                 400

45 up to 55                   21                      50                1,050

55 up to 65                   16                      60                 960

65 up to 75                   8                        70                  560

To calculate the mean, we need to find the sum of the products of the midpoint and the frequency, divided by the total frequency.

Mean = (fx) / Total Frequency

Mean = (150 + 400 + 1,050 + 960 + 560) / 60

Mean = 3,120 / 60

Mean = 52

Calculate the squared deviation from the mean for each class interval.

(x - mean)² × f

(30 - 52)² × 5 = 484 × 5 = 2,420

(40 - 52)² × 10 = 144 × 10 = 1,440

(50 - 52)² × 21 = 4 × 21 = 84

(60 - 52)² ×  16 = 64 × 16 = 1,024

(70 - 52)² ×  8 = 324 × 8 = 2,592

Calculate the sum of the squared deviations.

Sum of (x - mean)× f = 2,420 + 1,440 + 84 + 1,024 + 2,592

= 7,560

Standard Deviation =√(Sum of (x - mean)² × f / Total Frequency)

Standard Deviation = √(7,560 / 60)

Standard Deviation = √(126)

Standard Deviation = 11.23

Hence, the estimated mean of advertising expenses is approximately $52 million, and the estimated standard deviation is approximately $11.23 million.

To learn more on Statistics click:

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Complete question

Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses. (Round squared deviations to nearest whole number and final answers to 2 decimal places.)

Advertising Expenditure ($ millions)        Number of Companies

25 up to 35                                                                      5

35 up to 45                                                                    10

45 up to 55                                                                    21

55 up to 65                                                                   16

65 up to 75                                                                   8

Total                                                                               60

Suppose that the space shuttle has three separate computer control systems: the main system and two backup duplicates of it. The first backup would monitor the main system and kick in if the main system failed. Similarly, the second backup would monitor the first. We can assume that a failure of one system is independent of a failure of another system, since the systems are separate. The probability of failure for any one system on any one mission is known to be 0.01.
(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)
(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be
1
one hundred thousand
(Enter your answer as a whole number.)
_____ backup systems.

Answers

Answer:

a) 0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

b) 3 backup systems are needed.

Step-by-step explanation:

For each system, there are only two possible outcomes. Either it works, or is does not. Systems are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Three separate computer control systems

This means that [tex]n = 3[/tex]

The probability of failure for any one system on any one mission is known to be 0.01.

So the probability of working is:

[tex]p = 1 - 0.01 = 0.99[/tex]

(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)

This is [tex]P(X = 0)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.99)^{0}.(0.01)^{3} = 0.000001[/tex]

0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be 1 over one hundred thousand

This is n for which:

[tex]P(X = 0) < \frac{1}{100000} = 0.00001[/tex]

With 2 backup systems, the probability is lower than this, so lets see if with only two is possible.

We find [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.99)^{0}.(0.01)^{2} = 0.0001 > 0.00001[/tex]

So 3 backup systems are needed.

PLEASEEEE HELP!!!! (Multiplying/Dividing Fractions Word Problems) An auto shop installed a new automatic system to do paint jobs for cars. The system can paint 6 cars in an hour. How long does it take to paint one car?

Answers

Answer:

10 minutes.

Step-by-step explanation:

Note the amount of minutes in an hour.

1 hour = 60 minutes.

The system can paint 6 cars in an hour. Divide 60 minutes with 6 cars:

60/6 = 10

Each car takes 10 minutes to get fully painted.

~

What is the surface area of the square pyramid?

6 square meters
16 square meters
28 square meters
49 square meters

Answers

16 meters I believe

Answer:

It's 16,  there's so many question on this one.

Step-by-step explanation:

Solve and graph the inequality.

−x4−6≥−8

Answers

Answer:

Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]

Answer:

-4x ≥ 14

x ≥ -3.5

Graphed (numberline):

<-----------3.5---0------------->

could be x

Need it now. I'll give you another 100 when done if all i right.

Answers

This it the test please do as fast as posible and show work. thank you and sorry

The school newspaper surveyed 100 commuter students and asked two questions. First, students were asked how many courses they were currently enrolled in. Second, the commuter students were asked to estimate how long it took them to drive to campus. Considering these two variables, number of courses would best be considered a _________ variable and drive time would be considered a _________ variable.

Answers

Answer:

Number of courses would best be considered a discrete variable and drive time would be considered a continuous variable.

Step-by-step explanation:

Discrete variable:

Countable amounts(0, 1, 2, 3,...)

Continuous variables:

Can be decimal values.

In this question:

The number of courses is a countable amount(0,1,2,3,...), you cant take half a course, for example, so it is discrete. Otherwise, drive time accepts half minutes, for example, 10.5 minutes, so is continuous.

Number of courses would best be considered a discrete variable and drive time would be considered a continuous variable.

Find the Principal when the Interest is $200, the Rate is 3%, and the time is 18 months.

Answers

Answer:

Step-by-step explanation:

Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.

Mean
B.

Interquartile range
C.

Median
D.

Mean Absolute Deviation (MAD)
E.

Range

Answers

Answer:

B.  Interquartile range

E. Range

Step-by-step explanation:

When the variability is to be used for comparing the two data sets so the measures that should be considered is range & interquartile range as it shows the difference also it compared the two different data sets

Therefore option B and E is correct

And, the rest of the options are wrong

Function lis defined by the equation r
R=5/8t - 9

Function 2 is defined by the following table,
I
Which function has a greater y-intercept?

Answers

Answer:

Both have the same y-intercept (-9)

Step-by-step explanation:

✔️Function 1, r = ⅝t - 9, is given in the slope-intercept form, y = mx + b.

b = y-intercept = -9

y-intercept for Function 1 = -9

✔️Function 2, using the table given, the y-intercept is the value of r when t = 0.

Thus, r = -9 when t = 0.

y-intercept for Function 2 = -9

✔️Both functions has the same y-intercept. None is greater than the other.

20 points to answer !!
In your own words, describe a situation in your own life that involves quadrilaterals..... (see picture above)

Answers

The math teacher made me write a page about a rectangle

the burger king sign is a rectangle i had burger king last week

ill mark brainlistnplss help

Answers

Chlorophyll absorbs the colors red and blue the most.

Hope this helps.
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