Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
√(x + 8) − √(x − 4) = 2
Solving:
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
Answer:
180 ml oil
240 g onions
1.35 kg potatoes
1.8 l milk
Step-by-step explanation:
The recipe makes 6 portions and you need 18 portions. Since 6 is 3 times smaller than what you need, just times everything you've been given by 3.
<em>*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.</em>
1) 60 x 3 = 180 ml
2) 80 x 3 = 240 g
3) 450 x 3 = 1350 g
<em>They want it in kilograms, so divide it by 1,000 to convert. this gives you 1.35 kg.</em>
4) 600 x 3 = 1800 ml
<em>They want it in l, so divide it by 1,000 to convert. this gives you 1.8 l.</em>
Hope this helped : )
Answer:
Step-by-step explanation:
The client starts with 105.83 dollars
He requests 40 of which to be subtracted in denominations of 10, meaning 4 10 dollar bills are being removed.
After this he has 65.83 more dollars to withdraw, the next biggest bill denomination is a 50, so lets subtract 50 from our account.
Now he is left with 15.83, subtract another 10 dollar bill.
That leaves us with 5.83, subtract one 5 dollar bill.
Leaving us with 0.83, subtract 3 quarters
That leaves us with 8 cents, lets subtract one nickel, leaving us with 3 cents.
Now with those 3 cents we can subtract 3 pennies.
Meaning the least amount of denominations required is:
1 50-Dollar bill
5 10-Dollar bills
1 5-Dollar bill
3 Quarters
1 Nickel
3 Pennies
V = whl
66 = 2.2 x 5 x w
66 = 11w
w = 66/11
w = 6
answer: width = 6 ft
Answer: FALSE .
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