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Marta_Voda [28]
2 years ago
8

An inclined walkway leading to a new building is to rise 11 inches for each horizontal distance of 22 feet. Write this slope as

a grade. (Round to the nearest tenth of a percent if necessary.)​
Mathematics
1 answer:
ohaa [14]2 years ago
4 0

Answer:

4.2%

Step-by-step explanation:

The horizontal distance, x (Run) = 22 feets

Rise, vertical distance, y = 11 inches

The slope is the ratio of the vertical to the horizontal distance, Rise to Run

Slope = Rise / Run

Converting to the same unit ;

Foot to inches

1 foot = 12 inches

Hence, x = 22 feets = (12 * 22) = 264 inches

Slope = Rise / Run = 11 / 264 = 0.04167

Slope = 0.04167 * 100% = 4.167%

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Find the common difference for the infinite arithmetic sequence shown.
mihalych1998 [28]

The common difference is 12

Further explanation:

It is given that the infinite sequence is an arithmetic sequence

The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

a_1 = 211\\a_2 = 223\\a_3 = 235\\a_4 = 247........

The common difference is denoted by d.

Here,

d = a_2-a_1 = 223-211 = 12\\a_3-a_2 = 235-223 = 12

The common difference is same for all proceeding terms.

So,

d = 12

Keywords: Infinite arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/12613605
  • brainly.com/question/1284310

#LearnwithBrainly

4 0
3 years ago
(Second time asking this please help) A multiple choice question has 6 options. What is the percentage of getting the answer cor
igomit [66]

Answer:

A multiple choice question with 6 options will have a 16.7% chance of getting the answer correct, and a ratio of 1:6.

Step-by-step explanation:

You have a 1 in 6 chance of getting the answer correct, which can be represented with the fraction \frac{1}{6} .

To get a percentage, simply divide the 1 by the 6 and you will get an answer of 0.16666667. Multiply this by 100 and you have your answer.

To get a ratio, convert the fraction to a ratio making the left side of the ratio the numerator (the 1)  and the right side the denominator (the 6).

5 0
3 years ago
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What is the surface area of a sphere with a radius of 19 units?
almond37 [142]

Hope this helps. Please mark brainliest if it did

Answer: 4536.46

5 0
2 years ago
If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?
N76 [4]

Answer:

(f o g)(x) = 3x + \frac{2}{3}

Step-by-step explanation:

We have the function f(x) = x-\frac{1}{3} and we have the function g(x) = 3x + 1. We want to find g(x) composed with f(x)

Then, the function (f o g)(x) is the same since f(g(x))

That is, you must do x = g(x) and then enter g(x) into the function f(x).

f(g(x)) = (g(x)) -\frac{1}{3}

f(g(x)) = (3x + 1) -\frac{1}{3}

Simplifying, we obtain:

(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}

Finally. The composite function is:

(f o g)(x) = 3x + \frac{2}{3}

6 0
3 years ago
What is the area of the figure? Explain the steps you take
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