Answer:
x = .5
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
tan theta = opp / adj
tan 63 = 1/x
x tan 63 = 1
x = 1/ tan 63
x=0.50952
Rounding to the nearest tenth
x = .5
Answer:
8 = 3a + 4
4=3a
4/3=a
hope this helps
have a good day :)
Step-by-step explanation:
Answer: The (magnitude of the) rate of change increases over time. The object drops 16 feet in the first second, but 80 feet in the last second.
Explanation:
1) I will start by showing the table in an easy way to read and understand:
Time (seconds) Height (feet)
0 144
1 128
2 80
3 0
2) Rate of change
- An initial clarification: the rate of change decreases since it is becoming more negative every second, but, in the analysis, the reasonable is to deal with the magnitude of this rate. The results shown below that the rate as a negative value, but the comparison is set about the magnitude of the change.
- The rate of change is calculated for every pair of consecutive points using this equation:
rate of change = [change in height] / [time elapsed]
a) rate₁: [128 - 144] feet / [ 1 - 0] sec = - 16 feet / sec ⇒ the object drops 16 feet in the first second.
b) rate₂ = [80 - 128] feet / [2 - 1] sec = - 48 feet/sec ⇒ the object drops 48 feet in the next second
c) rate₃ = [0 - 80] feet / [3 - 2] sec = - 80 feet/sec ⇒ the object drops 80 feet in the last second.
The rate of change is more negative every second: it increases in magnitude over time. The object drops 16 feet in the first second, but 80 feet in the last second.
Answer: See explanation
Step-by-step explanation:
Population- Every student...
Sample- 10 students sitting together at a table in the cafeteria
Random Sample- 10 Students whose names...
Answer:
11:00 pm Wednesday
Step-by-step explanation:
Given
Current Time in San Francisco:
at 120 deg W
Required
Determine the current time at Miami at 75 deg W
First, we need to calculate the hours difference between San Franciso and Miami
Convert degrees to hours.
So:
The above is the time difference between San Francisco and Miami;
The time in Miami is then calculated as:
Hence, the time at Miami is: 11:00 pm Wednesday
