Answer:
Tom: 132 Bob: 396 Keisha: 139
Step-by-step explanation:
132 x 3
132 + 7
Let x represent the domain
Let y represent the range.
Assume that y =a*b⁻ˣ
Set x=0:
a*b⁰ = 32
a = 32
Set x=1:
32*b⁻¹ = 24
32 = 24b
b = 32/24
Set x=2:
d = 32*(32/24)⁻²
= 32*(24/32)²
= (32*24*24)/(32*32) = 24²/32 = 576/32
= 18
Answer: 18
Answer:
the answer is 14.14
Step-by-step explanation:
Given:
The measure of three sides of a triangle are 8, 7 and 14.
To find:
The measure of the angle opposite the side of length 8.
Solution:
According to the Law of Cosine:

Let a=8, b=7 and c=14, then by using Law of Cosine, we get



Taking cos inverse on both sides.



Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.
Answer:
1:24pm
Step-by-step explanation:
Couple of ways to solve this. Here is one method
Convert all times to minutes and find the total number of minutes they spent on all 3 activities. Then convert to hours and minutes and subtract from the end time of 5;28 to get the start time of all activities which is also the start time of watching the movie (first activity)
So time spent:
Movie: 2 hours 18 minutes = 2 * 60 + 18 = 120 + 18 = 138 minutes
Card game: 34 minutes
Soccer: 1 hour 12 minutes = 1 * 60 + 12 = 72 minutes
Total time spent = 138 + 34 + 72 = 244 minutes = 4 hours and 04 minutes
Subtract 4:04 from 5:28 to get 1:24pm
Check
Movie watch starts at 4:04, ends at 1:24 + 2:18 or 3:42pm
Card game starts at 3:42pm ends at 3:42+0:34 ==> 4:16pm
Soccer starts at 4:16pm ends at 4:16pm + 1:12 ==> 5;28pm