The length of one ramp is 16 feet. The vertical rise is 5 feet. Use pythagorean theorem to estimate the ramp’s horizontal distance. (round to the nearest tenth of a foot) *

Answers

Answer 1

Answer:

The ramp's horizontal distance is the distance in the x-axis. So the ramp's vertical distance I.e y-axis is 14 inches. And its length which is actually the hypotenuse ofthe right angled triangle 16 feet. But let's convert feet to inches first. 1 feet makes 12 inches Hence 16 feet makes 192 inches. From pythagoras a^2 =b^2 + c^2 where a the hypotenuse is 192 and b is 14. C is the ramp's horizontal distance. So we have (192)^2 = (14)^2 + c^2 C^2 = 192^2 - 14^2 = 36668 C = 191.48 From SOHCAHTOA. We have to use Sin So sin theta = (14/192) Theta = sin^(-1) (14/192) = 4.1815. Yes, it meets the FAC standard since the ramp's angle is less than 4.78

Step-by-step explanation:


Related Questions

What dose f(-2)=3 mean?

Answers

function!

Step-by-step explanation:

this was a function that the answer (y) is equal to 3

and the X is equal to (-2)

Answer:

This is about a function evaluated at a particular point.  You don't get a formula for the function, but there is enough information to say that the ordered pair (-2, 3) is part of the function.

The function's name is f.

The -2 in parentheses is a value for the independent variable ("input"), often designated by the variable  x.

The 3 is the corresponding value of the dependent variable ("output"), often designated by  the variable y.

The expression can be read as:

"f of negative two is equal to 3"

"the value of f at -2 is 3"

For the following problem, y varies directly as x If y = 34 when x = 4 , find y when x is 3.

Answers

Answer:

Step-by-step explanation: plug in 3 for X and then solve

Give me 5 stars

Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?

Answers

Here, both the triangles have equal sides.So, the two triangles are related by SSS.If all the sides of a triangle are equal to all the sides of another triangle, so the triangles are congruent to each other.

Answer:

SSS, congruent.

Hope you could get an idea from here.

Doubt clarification - use comment section.

HELPPPP PLEASEEEEE ​

Answers

I’m not rly sure what it means by flipping the card …. I’m assuming there’s more to this question but if it’s what I think it is the only way this equation will be true is by switching the + Symbol to - (subtraction) which would be 1-2= 3-4 since it would 1=1 making the equation true

if the poins A(-6,-5),B(-3,-2) and C(3,k) is on the same straight line, find the value of k.

Answers

Answer:

4

Step-by-step explanation:

y = x + 1

yeah-ya.... right?

Answer:

4 is the answer i believe

Step-by-step explanation:

C skips 2 dots, Hope this helps:)

The equation \sqrt{6-y^2}=x
6−y
2


=x is a function of yy."

Answers

Equations are used to represent functions, and vice versa.

The equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

The function is given as:

[tex]\sqrt{6-y^2}=x[/tex]

Square both sides

[tex]6-y^2=x^2[/tex]

Subtract 6 from both sides

[tex]-y^2=x^2 - 6[/tex]

Multiply both sides by -1

[tex]y^2=6 - x^2[/tex]

Take square root of both sides

[tex]y=\sqrt{6 - x^2[/tex]

Express as a function

[tex]f(x) = \sqrt{6- x^2[/tex]

Hence, the equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

Read more about functions and equations at:

https://brainly.com/question/13336451

Select the fraction equivalent to 0.1¯
its not 1/10

1/1
B 1/9
C 1/11

please explain why

Answers

Answer:

its 1/10

Step-by-step explanation:

You are wrong because 0.1 x 10 is 1 just like 1/10 x 10 is 1.

Help me out please ???????

Answers

Answer:

I think it's 33.

Hope that helps you.

Step-by-step explanation:

it will be 33 because the interquartile we give it by Q3 - q1

Q3 median of 84 plus 90 divided by 2 equal 87

q1 equal 54

If a shirt for RS 18 is marked up to RS 20 then the percentage increase is equal to

Answers

Answer:

11.1%

Step-by-step explanation:

Increase = 20 - 18

= 2

% increase= increase/initial price × 100

= 2/18 × 100

11.1%

What is -3/4+2 3/4 O 3 1/2 O 3 3/4 O 2 1/2 O 2​

Answers

Answer:

D. 2

Step-by-step explanation:

Common denominator is already presented which is 4.

-3/4 and 3/4 cancel each other out.

you can also convert to decimal form -3/4 + 2 3/4 is the same as:

-0.75 + 2.75 = 2.

What is the molarity of a solution
made by dissolving 67.3 g of lithium
chloride (LiCl) in enough water to
make 2.37 L of solution?
Molar Mass Li: 6.94 g/mol
Molar Mass Cl: 35.45 g/mol

Answers

Answer:

0.670. M

Step-by-step explanation:

Molarity can be expressed like this:

molarity =  number of moles /volume (L)

We know the volume, which is  2.37 L , but we need to find the number of moles. We can do this by dividing  67.3 g  by the molar mass of  L i C l :

number of moles  = mass of sample /molar mass

number of moles  =  67.3 g /(6.94 + 35.45) g/mol  = 67.3 g /42.39 g/mol

number of moles = 1.59 mol

molarity = 1.59 mol /2.37 L =  0.670. M

Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Answers

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:

[tex]b=14[/tex]

What is a parallel line?

They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.

With this information we can solve this exercise as:

[tex]5b=b+56\\4b=56\\b=14[/tex]

See more about parallel lines at brainly.com/question/16701300

Order the following fractions from least to greatest: 11/5, 6/5, 1/5

Answers

Answer: 1/5, 6/5, 11/5.

Step-by-step explanation:

1/5 is the smallest, as it isnt even 1 whole! (5/5)

6/5 = 1 1/5.

11/5 = 2 1/5, so its the greatest

Though it just opened last month, the Mash Mobile food truck has been doing well; they're now serving an average of 200 mashed potato creations every day. If there are 8 ounces of potatoes in each dish, how many 50-pound bags of potatoes does the food truck use every day?

Answers

Answer:

2 50-pound bags

Step-by-step explanation:

[Conversions] 50-pound bags -> 800-ounce bags

[Total potatoes used] 200 mashed potato creations * 8 ounces of potatoes in each dish = 1,600 ounces of potatoes

[Bags used] 1,600 / 800 = 2 bags

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

find the value of X in the following figures​

Answers

Answer: 70

Step-by-step explanation:

Diagonals of a rhombus bisect each other at right angles, so

[tex]x+20=90\\\\x=\boxed{70}[/tex]

Need help. Sorry if the pic quality is bad…

Answers

Your answer should be open circles between 10 and 12

The solution to the following inequality:
-3(6-2g)>4g

Answers

Answer:

Solution: g > 9

Interval Notation: (9 , ∞)

Step-by-step explanation:

-3 * (6-2g) > 4g

-18 + 6g > 4g

6g - 4g > 18

2g > 18

g > 9

the area of a rectangle and square are same . if area of the square is 900 cm² and length of the rectangle is 45cm find the perimeter of the rectangle.​

Answers

Answer: 130cm

Let's think the width of the rectangle as, "x"

45*x= 900

x= 900/45

x= 20

45+45+20+20

= 130cm

What are the common factors of 45 and 272
O A 1,36.9.15
0
B. 1.39
C 1.3.9.15
D. 1,3,5,9

Answers

Answer:

Step-by-step explanation:

they are prime to eachother.

There is only one common factor .i.e.,1

45=1×3×3×5

272=1×2×2×2×2×17

Which of the following are steps in practical problem solving?

Answers

Answer:

Assign an identifying variable to the quantity to be found. Write a sentence stating conditions placed on the quantity. Solve the sentence for the variable.

Step-by-step explanation:

can you mark me as brainlist

How many cubes with side lengths of 1/3 does it take to fill the prism

Answers

Step-by-step explanation:

along the side with 1 cm we can fit 3 cubes, as 3×1/3 = 1.

along the side with 2 2/3 cm we can fit 8 cubes :

2 2/3 = 6/3 + 2/3 = 8/3.

and 8/3 / 1/3 = 8/3 × 3/1 = 3×8 / 3×1 = 8

and the height is 2/3 cm, so we can put 2 layers of cubes on top of each other.

so, we have

3 × 8 × 2 = 48

48 cubes are needed to fill the prism.

The area of each square tile is square feet and the area of each triangular tile is square foot.

We will pour sand into each frame to a depth of foot.

image placeholder
ft
Complete the sentence with the amount of sand we will need for each tile.​

We will need

ft of sand for each square tile, and

ft of sand for each triangular tile.

Answers

Answer

hi

Step-by-step explanation:

ok

Find the future value of 1000 at 7 % interest compounded annually for 10 years.​

Answers

Answer:

1967.15

Step-by-step explanation:

1000 x 1.07^10 = 1967.15

The future value of 1000 with annual compounding for 10 years is $1967.15.

The formula for calculating with annual compounding is:  

FV = P (1 + r)^n  

FV = Future value  P = the amount deposited R = interest rate   N = number of years  

1000 x (1.07)^10 = $1967.15

To learn more about future value, please check: https://brainly.com/question/18760477

2 + 2 = 3
prove me wrong

Answers

Answer:

2+2=4................

Answer:

you are wrong because 2+2=4

index notation simplify 4^9 x 4^3

Answers

Answer:

[tex]4^{12}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]

The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:

The number of students who chose Basketball is three times the number of students who chose Other.

Ten more students chose Football than chose Hockey.

The percent of students who chose Basketball plus the percent of students who chose Football equal 65.

What percent of the students chose Basketball?

Answers

Answer:

Yo…what’s the graph?

Step-by-step explanation:

the company installs the new windows for $3150. the total cost for buying them and having them installed is $5769.00. if ray hills pay $145.50 per widow how many windows did they buy?

Answers

Answer:  18

====================================================

Work Shown:

x = number of windows purchased

The cost expression is 145.50x+3150 because the "145.50x" portion represents the $145.50 per window charge, then we tack on the fixed fee of $3150. Set this cost expression equal to the total charge ($5769) and solve for x.

[tex]145.50x+3150 = 5769\\\\145.50x = 5769-3150\\\\145.50x = 2619\\\\x = 2619/(145.50)\\\\x = 18\\\\[/tex]

They bought 18 windows.

Help me with writing a check please

Answers

Answer: pay to the order of: Price Chopper.... $145.19.... next line: One hundred forty-five and 19/100.... bottom left line: whatever the money is for.... next line: signature.        5. fifty-four and 68/100 dollars  6. One hundred seventeen and 92/100 dollars      7. twenty dollars

Step-by-step explanation:

Multiply and write in standard form:
(2x)(x^2 - 6x + 3)
Show all work for full credit.

Answers

2x(x2-6x+3)

4x^3-12x^2+6x

What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is compounded monthly

Answers

Answer:

Well the answer would be 865,920. Hope this helped! this is the way i learned it so if its wrong i'm super sorry!

Step-by-step explanation:

I = p x r x t

I = 82,000 x 8 x 11yrs

BUT WAIT! this is MONTHLY, so convert 11 x 12 = 132 and then move 8 back 2 spaces = 0.08 so the correct equation is

I = 82,000 x 0.08 x 132

I = 865,920

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