since triangles are similar
4/x = 7x/7
=》 4/x = x
=》x^2 = 4
=》 x = 2
for right triangles a^2 = b^2+c^2
DF^2 = 7^2+2^2 = 53
=》 DF = 7.28
perimeter of DEF = 7 +2+7.28 = 16.28
Answer:
450 per month
Step-by-step explanation:
5000-1400=3600
3600/8=450
Since Peter already has 1400 dollars saved you can subtract that form the total amount and since he is trying to get the rest in eight months you just divide the difference by eight.
10.4375
12.875×2=25.75 46.625-25.75=20.875 20.875÷2=10.4375
First we need to convert 0.75 feet to inches.
0.75 feet = 9 inches
Now we need to divide 9 inches by 24 hours.
9/24 = 0.375
This means that each hour, the vine grows 0.375 inches.
Answer:
The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes
Step-by-step explanation:
The number of hours Angharad sleeps each night = 8 hours ± 10 minutes
The actual time Angharad sleeps each night = 8 hours ± 5 minutes
Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night
The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes
The number of days in the month of November = 30 nights
The maximum time in minutes Angharad sleeps in November,
= 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes
The minimum time in minutes Angharad sleeps in November,
= 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes
Therefore, we have, the limits between which T lies given as follows;
273.5 hours < T < 242.5 hours.