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2 years ago

Find the area of equilateral triangle with side a.

Mathematics

1 answer:

marishachu [46]2 years ago

8 0

Answer:

$\frac{\sqrt{3} }{4} a^2$

Step-by-step explanation:

To find the area of an equilateral triangle, we can apply a formula.

$A=\frac{\sqrt{3} }{4} s^2$

$A= area\\s=side \: length$

The side length is given a.

Plug a in the formula as the side length.

$A=\frac{\sqrt{3} }{4} a^2$

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How to round 47,125 to the nearest ten,to the nearest hundred, to the nearest thousand and to the nearest ten thousand

Tasya [4]

To be able to round the number 47,125 to the nearest tenth, hundredth, and thousandth place you need to know were those places are. The tens place is the second one from the right hand side. The hundreds place is the third one from the right hand side and the thousands place is the one right after the comma. Now, to round to the tens place, you need to look at the place right behind it (which would be the ones place) then you need to analyze. If the number in the ones place is between 0-4 you can NOT round the tens place but, if it is between 5-9 you can. The same rule applies when you round to the hundreds and thousands place. So the number you should end up with is - 47,135.

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2 years ago

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The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compar

Amanda [17]

First we calculate the ambio rate from x = 0 to x = 15:
We have:
R = ((80-10) / (0-15))
R = -4.666666667
We now calculate for the entire interval:
from x = 0 to x = 20:
R = ((80-2) / (0-20))
R = -3.9
Answer:
What is the average rate of change over the entire slide?
R = -3.9
The average rate of change from x = 0 to x = 15 is about -4.667. How does the average rate change from x = 0 to x = 20 compare to this number?
The percentage difference is:
(-3.9 / -4.666666667) * (100) = 83.57142857%
100-83.57142857 = 16.42857143%

6 0

2 years ago

Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was

SSSSS [86.1K]

<h2>Answer:</h2>

First of all let's write the slope-intercept form of the equation of a line, which is:

$y=mx+b \\ \\ Where: \\ \\ m: \ slope \\ \\ b: \ y-intercept$

So we just need to find $m \ and \ b$ to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

$m=-12$

Negative slope because Amir is descending. So:

$y=-12x+b$

To find $b$ , we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point $(30,0)$ . Therefore, substituting this point into our equation:

$y=-12x+b \\ \\ 0=-12(30)+b \\ \\ 0=-360+b \\ \\ \therefore b=360$

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

$\boxed{y=-12x+360}$

Whose graph is shown bellow.

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2 years ago

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Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seco

antiseptic1488 [7]

Mel moves 50-35=15 feet in 5-2=3 seconds. Descent rate=15/3=5 ft/sec.
Victor moves 60-50=10 feet in 4-1=3 seconds. Descent rate=10/3=3⅓ ft/sec. Mel is faster at 5 ft/sec.

7 0

2 years ago

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An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax

kari74 [83]

Answer:

$713.8

Step-by-step explanation:

14%of 860 = 120.4

3% of 860 = 25.8

so, subtract the sum of the above 2 values from 860.

860 - (120.4+25.8) = 860-146.2 = 713.8

Hope this helps

3 0

2 years ago