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2 years ago

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Most staircases in use today have 9−inch treads and 8 12 −inch risers. What is the slope of a staircase with these measurements?

Give your answer as a fraction or rounded to four decimal places, if necessary

1 answer:

Sati [7]2 years ago

4 0

Answer:

The value is $m = 0.9022$

Step-by-step explanation:

From the question we are told that

The length of the treads is $a = 9 \ inch$

The length of the risers is $b = 8.12 \ inch$

Generally the slope of the staircase is

$m = \frac{b}{a}$

=> $m = \frac{8.12}{9}$

=> $m = 0.9022$

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AlekseyPX

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = $\frac{m(b) - m(a)}{b - a}$

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = $\frac{4 - (-12)}{2 - (-2)}$

= $\frac{16}{4}$

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = $\frac{n(b) - n(a)}{b - a}$

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = $\frac{6 - (-6)}{2 - (-2)}$

= $\frac{12}{4}$

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = $\frac{q(b) - q(a)}{b - a}$

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = $\frac{-12 - (-4)}{2 - (-2)}$

= $\frac{-8}{4}$

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = $\frac{p(b) - p(a)}{b - a}$

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = $\frac{-4 - 12}{2 - (-2)}$

= $\frac{-16}{4}$

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

3 0

2 years ago

10 mL = ____________ L ( 1L = 1000 ml

DENIUS [597]

Solution:

<u>Note that:</u>

1 L = 1000 ml

<u>Using the clue above, let's solve each problem.</u>

10 mL = 10/1,000 L = 0.01 L
1.2 L = 1.2 x 1,000 mL = 1,200 mL
3,500 mL = 3,500/1,000 L = 3.5 L
4 L = 4 x 1,000 mL = 4,000 mL
230 mL = 230/1,000 L = 0.23 L
6.21 L = 6.21 x 1,000 mL = 6,210 mL

Hoped this helped!

4 0

2 years ago

30 POINTS!!! Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a

Lisa [10]

Answer:

12 inches

Step-by-step explanation:

Given

$\theta = 31^{\circ}$

$diagonal = 23.3\ in$

Required

Determine the height of the canvas

The question is illustrated using the attached image.

Using the attachment as a point of reference, the height is calculated from

$sin \theta = \frac{opp}{hyp}$

This gives:

$sin 31^{\circ}= \frac{h}{23.3}$

Make h the subject

$h = 23.3 * sin(31^{\circ)$

$h = 23.3 * 0.5150\\$

$h = 11.9995$

$h = 12\ inches$

7 0

2 years ago

Read 2 more answers

List 5 examples of positive and negative things around us

Rudiy27

The 10 Common Positive Emotions:

Love.
Serenity.
Forgiveness.
Awe.
Joy.
Interest.
Hope.
Pride.

Examples of negative thoughts include: All or nothing: “If this date isn't successful, I'll be single forever.” Overgeneralizing: “I've been bad at every single job I've had.” ... Mind reading: “All my friends/co-workers/family think I'm mad

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6 0

2 years ago

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After a 20% price reduction, a cordless phone sold for $48. What was the phones price before the reduction?

GalinKa [24]

After 20% reduction the price is $48 which means $48 is only 80% of the original price...so let x= original price
<span>48=.8x </span>
<span>60=x </span>
<span>it was $60

</span>

6 0

2 years ago