Answer:
A) (2,5)
Step-by-step explanation:
longest side is between points (1,4) and (3,6)
so midpoint is ((1+3)/2), ((4+6)/2), which equals (2, 5)
Answer:
<em>Both trains will meet at 2.2 hours (2 hours and 12 minutes).</em>
Step-by-step explanation:
<u>Relative Speed</u>
If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.
Both trains travel toward each other, which means their speeds are of opposite signs.
Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.
To calculate the time they take to meet, we apply the formula:


Both trains will meet at 2.2 hours (2 hours and 12 minutes).
Answer:
16 < w < 21
Step-by-step explanation:
Given that :
Width if mirror = w
Length of mirror = l
L = 6 + w
Perimeter of mirror < 96 and > 76
Possible width of the mirror
Perimeter of a rectangle :
2(l + w)
2(6 + w + w)
= 2(6 + 2w)
= 12 + 4w
Hence,
76 < perimeter < 96
76 < 12 + 4w < 96
76 - 12 < 4w < 96 - 12
64 < 4w < 84
16 < w < 21
Answer:
17:27
Step-by-step explanation:
You would start with 34:54
this reduces to 17:27
Answer:
7.He borrowed $1853.33
8.She received $28990.936
Step-by-step explanation:
7.Let x be the amount borrowed by Tyson
Rate of interest = 7.5%
Time = 2.5 years
Simple Interest = 347.50
Formula : 
Where SI = simple interest
P = Principal
T = Time
R = Rate of interest
Substitute the values in the formula :

Hence he borrowed $1853.33
8) Principal = 20000
Rate of interest = 9.5%
No. of compounds per year = 2
Time = 4 years
Formula : 
Where A= amount
r = Rate of interest
n = no. of compounds
t = time
Substitute the values in the formula :
So, 
A=28990.936
Hence she received $28990.936