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3 years ago

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The recommended angle for a wheelchair ramp is 5 degrees. If the rise of the ramp to go up the steps is 5 feet, find the horizon

tal run length that the ramp must start. (Round to one decimal place)

1 answer:

dybincka [34]3 years ago

5 0

Answer:

$57.2\ ft$

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem

The tangent of angle of 5 degrees is equal to the quotient of "rise over run"

Let

y ----> the rise of the ramp

x ----> the run of the ramp

$tan(5^o)=\frac{y}{x}$

we have

$y=5\ ft$

substitute and solve for x

$tan(5^o)=\frac{5}{x}$

$x=\frac{5}{tan(5^o)}$

$x=57.2\ ft$

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4 students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committ

Andrej [43]

We know that
The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange

in this problem
n=15 students
r=4 students
C=15!/[(15-4)!*4!]-----> C=15!/[11!*4!]---> (15*14*13*12*11!)/(11!*4*3*2*1)
C=(15*14*13*12)/(24)----->C=1365

the answer is
1365

7 0

2 years ago

Read 2 more answers

Kierston needs to paint a wall of the youth center. She knows that 1 can of paint covers an area of 2.2 square meters. Kierston

Step2247 [10]

Answer:

See Explanation

Step-by-step explanation:

Given

$1\ can = 2.2m^2$

Required

Determine the number of cans for the wall

The dimension of the wall is not given. So, I will use the following assumed values:

$Length=20m$

$Width = 44m$

First, calculate the area of the wall

$Area = Length * Width$

$Area = 20m * 44m$

$Area = 880m^2$

If $1\ can = 2.2m^2$

Then $x = 880m^2$

Cross Multiply:

$x * 2.2m^2 = 1 * 880m^2$

$x * 2.2m^2 = 880m^2$

$x * 2.2 = 880$

Make x the subject

$x = \frac{880}{2.2}$

$x = 400$

400 cans using the assume dimensions.

So, all you need to to is, get the original values and follow the same steps

4 0

2 years ago

Pleaase. please please help i will mark brainliest

Mademuasel [1]

Answer:

b

Step-by-step explanation:

8 0

2 years ago

Quick question if I had a problem that was sin x = 18.9/20 =.945 how would I inverse sin of both sides ?

galben [10]

Answer:

The result is about 70.9 degrees

Step-by-step explanation:

Easy for a calculator. If you're not using a calculator, it's much more tedious!

There is an inverse sine key on your calculator, but you may have to press a key (likely labeled 2nd or INV) first. The attached image shows a TI-83 display. To get the inverse sine, I first pressed the yellow 2nd key, then the sin key.

Check MODE first to make sure you're measuring angles in degrees (if that's what you want!). Some calculators display angle mode with a small letter at the top of the display, D, R, or G usually.

The left side of the equation produces just x.

$\sin{x}=.945\\\\\sin^{-1}(\sin{x})=\sin^{-1}(.945)\\x=\sin^{-1}(.945) \approx 70.9^\circ$

6 0

2 years ago

Select the correct scientific notation form of this numeral.

ioda

The scientific notation for the number 1063 is 1.063×10³ after using the concept of fraction option (B) 1.063×10³ is correct.

<h3>What is the number?</h3>

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 1063

As we know the scientific notation can be written as:

$\rm = A\times10^a$

1063 can be written as:

= 1063

= (1063/1000)1000

1.063×10³

Thus, the scientific notation for the number 1063 is 1.063×10³ after using the concept of fraction option (B) 1.063×10³ is correct.

Learn more about the number here:

brainly.com/question/17429689

#SPJ1

8 0

1 year ago