Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that and .
Thus:
Let's do the first part first: (Recall how to divide fractions)
For the second term:
So, all together: (same denominator; combine terms)
Note the numerator; it can be derived from the Pythagorean Identity:
Thus, we can substitute the numerator:
Everything simplifies to 1.
Step-by-step explanation:
The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.
-2x + 16 < = 10
-2x < = 10 - 16
-2x < = - 6
x > = -6/-2
x > = 3............so any number that is 3 or above is in the solution set
Answer: x = -3
Step-by-step explanation:
2y + x = -15
y = 2x
2y = 2(2x) = 4x
4x + x = -15
5x = -15
x = -3
Answer:
24 ft^2
Step-by-step explanation:
The small aquarium:
1 * 3 * 2 = 6 ft^2
The large aquarium
(1 + 1) * (3 + 2) * (2 + 1)
2 * 5 * 3 = 30 ft^2
Difference between the larger aquarium and the smaller aquarium:
30 - 6, or 24.
This means that the answer to this question is a, 24 ft^2