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Usimov [2.4K]
3 years ago
15

What is the slope of the segment shown for a staircase with 10-inch treads and 7.75-inch risers? As you walk up (or down) the st

airs, your vertical distance from the floor is a linear function of your horizontal distance from the point on the floor where you started. Is the function discrete or continuous? Explain.
Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

The formula for slope is

Slope = Rise / Run = Risers / Treads

Slope = 7.75 in /10 in = 0.775

The slope Is 0.775.

The vertical distance is not continuous, thus it is discrete. A discrete function only allows certain points in the interval. When you walk up or down the stairs, the vertical distances are not continuous because of the treads. You cannot stay also mid-air, so it should be discrete. An example of a continuous function would be when you walk up or down an inclined plane. 

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Find the difference 0.2 - 0.05 =
Ugo [173]

Answer:

0.2-0.05=0.15

Step-by-step explanation:

0.2=0.20

0.20-0.05=0.15

5 0
3 years ago
The sum of two irrational numbers is _____ a rational number. Which word correctly fills in the blank to create a true statement
77julia77 [94]

Answer:

C.) Sometimes

Step-by-step explanation:

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

7 0
3 years ago
A rectangle has an area of 8x2 - 2x - 45. The length of the
Savatey [412]

Answer:

Width = W = 2x-5

Step-by-step explanation:

Given Data:

Length of rectangle = L = 4x + 9 ------->(Equation 1)

Area of rectangle = A = 8x^{2} - 2x -45 square inches ------->(Equation 2)

To find out:  

Width of rectangle = W = ?  

Formula:  

Area = A = L×W

Width = W = \frac{A}{L}

Solution:  

Width = W = \frac{A}{L}

Width = W = \frac{8x^{2} - 2x - 45 }{4x+9}

For complete division check the attached image.

Width = W = 2x-5 inches

 

5 0
3 years ago
*WILL GIVE BRAINLIEST*
andre [41]
Typical bone is made up of D.
7 0
2 years ago
Which rules of exponents will be used to evaluate the expression. Check all that apply
julia-pushkina [17]

Hello!

The answer are:

- Product of powers.

- Power of a power.

- Negative exponents.

<h2>Why?</h2>

Let's solve it!

It's a math rule that we must solve first what's into a brake or parenthesis, so,

First: Product of powers [(7)^{5}*(7)^{3}]

According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base

Exponents: 5 and 3

Base: 7

Applying it we have:

(7)^{5+3}

(7)^{8}

Then,

We have a power of a power case, which involves multiplying the exponents:

[(7)^{5}*(7)^{3}]^{-4}

Exponents: 3 and -4

Then,

(7)^{8*-4}

Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,

So, we will have that:

(7)^{-32}=\frac{1}{7^{32} }

Have a nice day!

6 0
3 years ago
Read 2 more answers
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