Answer:
Area = 5/6 of a foot^2
Step-by-step explanation:
Formula
Area of a trapezoid (formula) = 1/2 (b1 + b2)*h/2
Givens
- b1 = 2 feet
- b2 = 3 feet
- h = 1/3 foot
Solution
Area = 1/2(2 + 3)*1/3
Area = 1/2(5)* 1/3
Area = (1/2 * 1/3) * 5
Area = (1/6) * 5
Area = 5/6
Answer:
14
Step-by-step explanation:
Simplify the following:
5 - 2×9 + 9^2/3
Hint: | Evaluate 9^2.
9^2 = 81:
5 - 2×9 + 81/3
Hint: | Reduce 81/3 to lowest terms. Start by finding the GCD of 81 and 3.
The gcd of 81 and 3 is 3, so 81/3 = (3×27)/(3×1) = 3/3×27 = 27:
5 - 2×9 + 27
Hint: | Multiply -2 and 9 together.
-2×9 = -18:
5 + -18 + 27
Hint: | Evaluate 5 + 27 using long addition.
| 1 |
| 2 | 7
+ | | 5
| 3 | 2:
32 - 18
Hint: | Subtract 18 from 32.
| 2 | 12
| 3 | 2
- | 1 | 8
| 1 | 4:
Answer: 14
(x+5,y-6) is the coordinate notation.
cos(20) = sin(70)
note how 20+70 = 90
The general rule is that if x+y = 90, then cos(x) = sin(y). The rule works in reverse as well. Another way to phrase the rule is cos(x) = sin(90-x).
So,
Note: if the computer doesn't like the answer of "sin 70" then try "sin(70)" and see how that works out. It's also possible that the teacher wants the single numeric value of "70" in the first box rather than the "sine" part to go along with it. Though that would be strange and incorrect since cos(20) = 70 is a false statement.
