Answer:
V = 214.32
Step-by-step explanation:
Remark
You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.
Formula
V = (h1 - h2)* Base
Givens
h1 = 32.9
h2 = 29.1
Base = 56.4
Solution
V = 56.4 ( 32.9 - 29.2)
V = 56.4 * 3.8
V = 214.32
for 1 batch of pancake = 2 2/3 = 8/3 cups
for 2 1/2 = 5/2 pancake = 8/3 * 5/2 = 40/6 cups = 6 4/6 cups
Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point
To solve the equation, you need to treat the two cases as above:
The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:
Again, the second solution -6 complies with the requirement that x<-4, so it is valid.
9514 1404 393
Answer:
- -√5
- 3/5
- -4/5
Step-by-step explanation:
The relevant relations are ...
sec = ±√(tan² +1)
cos = 1/sec
csc = 1/sin = ±1/√(1 -cos²)
Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.
__
1. sec(θ) = -√((-2)² +1) = -√5
2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5
3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5
