Answer: The answer is {(0,0)} !
Step-by-step explanation:
Answer:
it may multiple by 10 times
Answer:
175 cm
7 years
Step-by-step explanation:
Here is the complete question
When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard.
He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.
1. How tall was the tree when Vlad moved into the house?
2. How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
The formula for calculating future value:
FV = P + (r x n)
FV = Future height of the tree
P = Present height of the tree
R = growth rate
N = number of years
292 = p + (26 x 4.5)
292 = p + 117
p = 292 - 117
p = 175 cm
b. 357 = 175 + (26 x n)
375 - 175 = 26n
182 = 26n
n = 182 / 26 = 7 years
Answer:
Step-by-step explanation:
<u>Assume a solution</u>
Assume that 60 is the length. The width is then 1/4 less, or 60 -60/4 = 45.
The diagonal of this rectangle is found using the Pythagorean theorem:
d = √(60² +45²) = √5625 = 75
<u>Make the adjustment</u>
This is a factor of 75/40 larger than the actual diagonal, so the actual dimensions must be 40/75 = 8/15 times those we assumed.
length = (8/15)×60 = 32
width = (8/15)×45 = 24
The length and width of the rectangle are 32 and 24, respectively.
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<em>Comment on this solution method</em>
This method is suitable for problems where variables are linearly related. If we were concerned with the area, for example, instead of the diagonal, we would have to adjust the linear dimensions by the <em>square root</em> of the ratio of desired area to "false" area.