We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.
We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.
Upon substituting our given values in above equation, we will get:
Therefore, the height of the statue is 272 inches.
Answer:
The diameter of the circle is 13.
Answer: Choice B
(-1,0), (-1,-2), (-3, -1), and (-3, -2)
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Explanation:
Let's focus on the point (2,0)
If we shift it 3 units to the left, then we subtract 3 from the x coordinate to get 2-3 = -1 as its new x coordinate. The y coordinate stays the same.
That means we move from (2,0) to (-1,0)
Based on this alone, choice B must be the answer as it's the only answer choice that mentions (-1,0).
If you shifted the other given points, you should find that they land on other coordinates mentioned in choice B.
It's a simultaneous equation:
Steps:
1.Number the equations..
a+b=77 -1
a-b=13 -2
2. Choose what variable you want to use. In this case I would use the "b". Since the signs in front of the "b's" are different, add the two equations together
a + b = 77
+ + +
a (-b) = 13
Which gives;
2a = 90
Then solve to find a:
2a=90
a= 90/2
a=45
3.Then plug the "a" value into any of the original equations to find the "b" value. I would use equation 1 since the all the variables are positive.
a + b = 77
(45) + b = 77
b=77-45
b=32
4.Solution
a=45
b=32
Answer:
1) Consider that he makes $1189 every two weeks engaged with work
2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks
3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip
Step-by-step explanation:
From the given data
Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400
Similarly total operating costs = $2110
Total profit per annum = $11890
However total revenue per every 2 weeks = $1189
To buy the truck, sell his and go on the fishing trip it will cost = 5200-1500+250 =$3950 hence he has to work for about 6.64 or approximately 7 weeks before going on the fishing trip
2) Opportunity cost will factor in the cost of having someone work for him while away
The cost is = $250 + $120/day
Hence in two weeks it will cost him $1450
3) He has to work for about 7 weeks to be able to afford the truck
