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dedylja [7]
3 years ago
7

An old house has a basement stairway that has steps with 7.25 inch vertical risers and 7 inch horizontal treads. What is the slo

pe of the stairway? Round to two decimal places.
Mathematics
1 answer:
svlad2 [7]3 years ago
4 0

Answer:

1.04 inch

Step-by-step explanation:

Given: Old house has a basement stairways with 7.25 inch vertical riser and 7 inch horizontal treads.

Remember; horizontal treads is known as run in steps.

Now, calculating the slope of the stairways.

Formula: Slope= \frac{Rise}{Run}

Rise= 7.25 inch

Run= 7 inch.

Subtituting the value in the formula

Slope= \frac{7.25}{7}= 1.0357 \approx 1.04 (∵ Round to two decimal)

∴ Slope of stairways is 1.04.

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roblem: Report Error A partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers,
wel

Answer:

There are 15 partitions of 7.

Step-by-step explanation:

We are given that a partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers, in which we don't care about the numbers in the sum .

We have to find the partition of 7

We are given an example

Partition of 4

4=4

4=3+1

4=2+2

4=1+2+1

4=1+1+1+1

There are five partition of 4

In similar way  we are finding  partition of 7

7=7

7=6+1

7=5+2

7=5+1+1

7=3+3+1

7=3+4

7=4+2+1

7=3+2+2

7=4+1+1+1

7=3+1+1+1+1

7=2+2+2+1

7=3+2+1+1

7=2+2+1+1+1

7=2+1+1+1+1+1

7=1+1+1+1+1+1+1

Hence, there are 15 partitions of 7.

8 0
3 years ago
P(x)⋅Q(x)=R(x); if P(x)=x+2 and R(x)=x3−2x2−6x+4, what is Q(x)?
STatiana [176]

Answer:  Q(x) = x² - 4x + 2

<u>Step-by-step explanation:</u>

P(x) · Q(x) = R(x)   ⇒   Q(x) = R(x)/P(x)

R(x) = x³ - 2x² - 6x + 4     ÷     P(x) = x + 2

I will use synthetic division (but you can also use long division).

-2 |  1     -2     -6     4  

    <u>|  ↓    -2       8    -4   </u>

       1    -4       2      0   ← remainder

       

The reduced polynomial is: x² - 4x + 2

7 0
4 years ago
What value of x makes this statement true?<br> 3x=2x+12<br><br> A) 2<br> B) 5<br> C) 6<br> D) 12
vekshin1

Answer:

The value of x = 12, makes the statement 3x=2x+12  true

Option D is correct option.

Step-by-step explanation:

What value of x makes this statement true?

3x=2x+12

We need to solve the equation to find value of x

3x=2x+12

Subtract 2x on both sides

3x-2x=2x+12-2x\\x=12

So, the value of x is: x=12

So, The value of x = 12, makes the statement 3x=2x+12  true

Option D is correct option.

4 0
3 years ago
For a house call, a veterinarian charges $70, plus $40 an hour. Write an equation that represents the total fee y (in dollars) t
Svet_ta [14]
Y=40x+70

hope this helps
6 0
3 years ago
Read 2 more answers
Find the difference.<br> (−2g+7)−(g+11) =
Dmitry_Shevchenko [17]

Answer:

-3g-4

Step-by-step explanation:

(-2g+7)-(g+11)= -2g+7-g-11= -3g-4

7 0
3 years ago
Read 2 more answers
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