Answer:
The absolute error is <u>4 ft</u> and percent error of Tony's estimate is <u>9.8%</u>.
Step-by-step explanation:
Given:
Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41ft.
Now, to find the absolute error and the percent error of Tony's estimate.
The height of his office building = 45ft.
The actual height of his office building = 41 ft.
So, to get the absolute error:
<em>The height of his office building - the actual height of his office building</em>
The absolute error = 4 ft.
Now, to get the percent error of Tony's estimate:
<em>Percent error of Tony's estimate rounding to nearest tenth = 9.8%.</em>
Therefore, the absolute error is 4 ft and percent error of Tony's estimate is 9.8%.
<span>[-4+3]-8
= </span><span>-1 - 8
= -9
---------------
</span>
Answer:
154000
Step-by-step explanation:
2: 2 * 2 * 2 * 2 = 16
5: 5 * 5 * 5 = 125
7: 7
11: 11
composite number := 16 * 125 * 7 * 11 = 154,000
check the picture below.
so we know Bethany's payrate, her slope is 11.75, namely $11.75/hr, for for every hour, she makes 11.75 bucks.
now, let's use those red-circled points, to get Grant's slope, and therefore his payrate,
low and behold, Grant makes 12.90 or 12.9 bucks every hour.
well, Bethany does 11.75 hmmm what's their difference?
12.90 - 11.75
1.15
so 12.90 is greater than 11.75 by 1.15, meaning, Grant makes 1.15 bucks more every hour than Bethany.
This is geometry through and through. Plus a little trig thrown in for fun. If you inscribe an equilateral triangle inside a circle and the triangle has side lengths of 12, you have part of what you need to use Pythagorean's Theorem to find the hypotenuse of the triangle which is also the radius of the circle. First, use the formula 360/3 to find that the central angle measure of each angle INSIDE a triangle is 120. So you have 3 triangles within the large one, each with a top angle of 120 and a base of 12. If you extract that one triangle and then split it in half, you have a right triangle with a base of 6. This is a 30-60-90 triangle and this is important so you can check your work. Now use the apothem formula for a right triangle as it relates to a side in an equilateral triangle, which is a = sqrt3/6 * s. Our values are a = sqrt3/6(12) which simplifies to 2sqrt3. That's our apothem. If you're familiar with a 30-60-0 triangle, you could check this to see it's correct. Now you have the base leg of 6 and the height of 2sqrt3, now use Pythagorean's Theorem to find the hypotenuse, which is also the radius of the circle. This was really a difficult one to explain.
