Answer:2034.7
Step-by-step explanation:
The equation is pi •r^2•h
R=6
H=18
Answer:
7 years (This answer is to the nearest year)
Step-by-step explanation:
The way you could work this out is by trial and error. 11 % a year means that its population increases by 4400 annually. 40,000 X 1.11^1 gives you the amount it would be after one year (44000). I got the 1.11 because of the percentage (0.11) plus the amount you need to do percentage increase (1). Then all you do is keep on going up till you hit the number you need (80,000) after about 7 years the total would have hit 80,000 and would have actually went past it (83046)
This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
Answer:
$18.96
Step-by-step explanation:
Now the mechanics earn $14.2 per hour, which is 25.1% less than before.
If we say that the earnings before were 100% (to facilitate our calculation and understand better), now the earrings are (100-25.1)%=74.9%. This is, now they make the 74.9% of what they used to made.
So:
74.9% = 14.2
Let's multiply both sides by 100%/74.9% to make a 100% appear at the left side (see that multiply and divide by 74.9 will make it desapear):
74.9% *(100%/74.9%) = 14.2 * (100%/74.9%)
100% = 14.2 * (100%/74.9%)
And (100%/74.9%) is equal to 1/0.749, they are the same. So:
100% = 14.2 * 1/0.749
100% = 18.96
So, before the new manager they used to make $18.96. (you can verify by multiplying it by 74.9% and the result is 14.2)
