A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
Answer: 62.7 is rounded to the nearest hundredth.
Step-by-step explanation:
Because...
if you look at the 6 at the hundredth place then you have to look at the number next to it, which is 8 and since it's 5 and greater it the 6 becomes a 7 and therefor, the answer is 62.7.
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Answer:
The weight of the water in the pool is approximately 60,000 lb·f
Step-by-step explanation:
The details of the swimming pool are;
The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet
The depth of the pool = 5 feet
The density of the water in the pool = 60 pounds per cubic foot
From the question, we have;
The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g
The volume of water in the pool = Cross-sectional area × Depth
∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³
Acceleration due to gravity, g ≈ 32.09 ft./s²
∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N
266,196.089 N ≈ 60,000 lb·f
The weight of the water in the pool ≈ 60,000 lb·f
Answer:
y = 8 or y = 0
Step-by-step explanation:
Solve for y over the real numbers:
y^2 - 8 y = 0
Factor y from the left hand side:
y (y - 8) = 0
Split into two equations:
y - 8 = 0 or y = 0
Add 8 to both sides:
Answer: y = 8 or y = 0
The monthly installments need to be paid is $10995.
To determine the number of months needed to pay off the remaining balance. We need to know the monthly installment.
<h3>What is installments?</h3>
When you get an installment loan, you get the money you borrowed or the item you bought right away.
- You pay it off in installments, which are regularly scheduled payments that may include interest.
- For a set number of months, or years, you generally owe the same amount on every installment.
- When the loan is fully repaid, the account is permanently closed.
Now, as per the question;
Amount paid in cash = $1500
Remaining balance which is to be paid as monthly installments
= $12495 - $1500
=$12495 − $1500
=$10995
Thus, the monthly installments are $10995.
Now, to determine the number of months needed to pay off the remaining balance. The monthly installment is need to be known.
As a result, information on monthly installments is lacking.
To know more about the installments, here
brainly.com/question/16032019
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The complete question is-
What necessary piece of information is missing that prevents solving the problem? By paying $1500 cash and the balance in equal monthly payments, how many months would it take to pay for a car costing$12,495?
