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AVprozaik [17]
2 years ago
9

2) The length of a step is 12 inches. In order to comply with safety regulations, the angle of elevation must be 60 degrees. Wha

t are the rise and run of the step?
Mathematics
1 answer:
Papessa [141]2 years ago
4 0

12√3 / 12

Step-by-step explanation:

this creates a 30,60,90 triangle and since we are trying to find the rising part of the run we are going to have to find the 60-degree angle part. So then we do 12 times root 3.

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Please Help me with this problem!!! ASAP
castortr0y [4]

The average rate of change is -5 per month

<h3>How to determine the average rate of change?</h3>

The interval is given as:

July to December

From the graph, we have:

July = 110

December = 30

The average rate of a function over the interval (a, b) is calculated as:

Rate = [f(b) - f(a)]/[b - a]

So, we have:

Rate = (30 - 110)/(December- July)

This gives

Rate = (30 - 110)/(12 - 7)

Evaluate

Rate = -16

Hence, the average rate of change is -5 per month

Read more about average rate of change at:

brainly.com/question/23715190

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6 0
2 years ago
Differentiate Functions of Other Bases In Exercise, find the derivative of the function.
WARRIOR [948]

Answer:

\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}

Step-by-step explanation:

given

y = \log_{10}{(x^2+6x)}

using the property of log \log_ab=\frac{log_cb}{log_ca}, and if c =e,\log_ab=\frac{ln{b}}{ln{a}}, we can rewrite our function as:

y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}

now we can easily differentiate:

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)

\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}

This is our answer!

3 0
3 years ago
Read 2 more answers
How do you do 3(4y-7)=15y+6​
cestrela7 [59]

Answer:

y = 27/7

Step-by-step explanation:

Perform the indicated multiplication:

3(4y-7)=15y+6 becomes:

12y - 21 = 5y + 6

Combining like terms, we get:

7y = 27, so that y = 27/7

7 0
4 years ago
Point slope of y=3/4x-7
never [62]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Without graphing, tell whether the line containing (4, 2) and (4, 9) is horizontal, vertical, or neither.
telo118 [61]

Answer:

Vertical.

Step-by-step explanation:

It is vertical because 4 + 4 (adding both X-axis, totalling 8) is smaller than 9 + 2 (adding both Y-axis, totalling 11), so the Y-axis, which is vertical, is bigger.

4 0
3 years ago
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