Answer:
$84
Step-by-step explanation:
Find how many miles she traveled by multiplying 80 and 2.
80 × 2 = 160 miles
Next find out how much she gets paid for her mileage by multiply $0.60 and 160.
160 × $0.60 = $96.00
Now find out how much she spent on gas. She gets 40 miles per gallon so solve how many gallons she used by dividing 160 by 40.
160 ÷ 40 = 4 gallons
Then multiply 4 gallons by $3.00
4 × 3 = $12
To find the net rate of pay subtract 96 and 12
$96 - $12 = $84
2/3.
the spinner has 4/6 parts that are y and g, and that simplifies down to 2/3
Answer:
this is equal to √(3x²/12) = √(x²/4) = x/2
Step-by-step explanation:
Answer:
51 feet
Step-by-step explanation:
Let
x -----> the height of a flagpole
we know that
Using proportion
Answer:
Solution : 
Step-by-step explanation:
![-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]](https://tex.z-dn.net/?f=-3%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%7D%7B4%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%7D%7B4%7D%5Cright%29%5Cright%5D%5C%3A%5Cdiv%20%5C%3A2%5Csqrt%7B2%7D%5Cleft%5B%5Ccos%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%2Bi%5Csin%20%5Cleft%28%5Cfrac%7B-%5Cpi%20%5C%3A%5C%3A%5C%3A%7D%7B2%7D%5Cright%29%5Cright%5D)
Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,
=
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= 
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As you can see your solution is the last option.
