Answer: 
Step-by-step explanation:
Since, The LCM of numbers given numbers 
,
, 
and 
is 
.
Thus, the number that gives 1 as reminder and is the multiple of 7 is 
Where n is any positive integer,
Since, For 
,
The number is, 
Which is divisible by 
.
Thus, the required number is 301.
Note : For n = 1, 2 3 and 4, numbers are 61, 121, 181 and 241
But they are not the multiple of 7.
Angle of taller building Tan 45° = opposite (height of the building)/
adjacent 50 feet (distance between Kathy and the taller building
Tan 45° = 1
Height of taller building from eye level = multiplying adjacent
50 feet * Angle (Tan 45°) 1 = 50 feet opposite
Angle of smaller building Tan 38° = 0.781
Height of smaller building from eye level = Angle * adjacent
50 feet = 39.06 feet
Difference of eye level from ground is 5 feet
Taller building height is 50 + 5
Total height of taller building is 55 feet.
Smaller building height is 39.06 + 5
Total height of smaller building is 44.06 feet
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Answer:
The number of completed weeks when Natasha and Taylor will have an equal amount of saved is 8 weeks
Step-by-step explanation:
The starting amount of Taylor's savings = $10
The amount Taylor plans to save a week = $20
Therefore, the function that models Natasha's saving plan is y = 10 + 20·x
The function that models Natasha's saving plan is y = 50 + 15·x
Where;
y is the amount in savings
x is the number of completed weeks
When the amount of savings, y, of both Natasha and Taylor are equal, we have;
y for Natasha = y for Taylor
Therefore
10 + 20·x = 50 + 15·x
20·x - 15·x = 50 - 10
5·x = 40
x = 40/5 = 8
The number of completed weeks when Natasha and Taylor will have an equal amount of saved, x = 8 weeks
