For 1:
Use pythagorean theorem because of the radius tangent theorem(point of contact = 90 degrees)
12 is the hypotenuse (the right angle points at the hypotenuse)
Therefore:
(9)^2 + (x)^2 = (12)^2
81 + x^2 = 144
Subtract 81 from both sides of the equation
x^2 = 63
Square root both sides to get rid of square on x and isolate the variable
The square root of 63 = 7.93 (roughly)
Answer:
4
Step-by-step explanation:
There are 2 domains to consider
- 6 < x ≤ 0
Since the symbol on the left is less than - 6 then - 6 and - 7 are not included
The symbol on the right is less than or equal to 0 , thus no values
0 < x ≤ 4
Means values between 0 and 4, including 4
Thus the value on the domain of f(x) is 4
Answer: a = 23, b = 21, c = 136
Step-by-step explanation:
Consider ∆JWZ and ∆JKZ
WZ~KJ (given)
<u>/</u><u> </u><u>WZJ</u>~<u>/</u><u> </u>KJZ (given)
JZ~JZ (common)
Therefore,
∆JWZ~∆JKZ by SAS congruence rule.
JW~ZK by CPCT.
Answer:
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
Step-by-step explanation:
Here, H(t) is the height after the t minutes of time.
Given :
H'(7.5) = 15.708 meters / minute
H'(t) =
= rate of change of the height
So, here, H'(t) = rate of change of height
Therefore, H'(7.5) = 15.708 meters / minute
It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.