X=[(x+60°)-20°]/2
x=(x+60°-20°)/2
x=(x+40°)/2
Solving for x: Multiplying both sides of the equation bu 2:
2x=2(x+40°)/2
2x=x+40°
Subtracting x both sides of the equation:
2x-x=x+40°-x
x=40°
Answer: x=40°
Answer:
1. Wind is the horizontal movement of air. All wind is caused by the uneven heating of Earth's surface, which sets convection currents in motion, Convection currents on a large scale cause global winds; convection currents on a small scale cause local winds.
2. Local winds blow between small low and high pressure systems. Local winds blow over a very limited area, while large scale winds blow over very unlimited area.
Step-by-step explanation:
Answer:
(A) 0.125 probability
(B) 0.625 probability
(C) 660 miles
Step-by-step explanation:
The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.
(A) The probability that the truck driver goes more than 650 miles a day is:
[700 - 650] / [700 - 300] = 50/400 = 0.125
(B) The probability that the truck driver goes between 400 and 650 miles a day is:
[650 - 400] / [700 - 300] = 250/400 = 0.625
(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:
10% of 400 = 40
Subtract this from the farthest distance;
700miles - 40miles = 660miles
We are given the equation y = 2(x – 3)^2 – 4 and is asked for the domain and range of the following function. In this case, there is no radical sign so the domain includes all real numbers. The range has a minimum value of -4 since the squaring makes the value on the first term positive. Hence the answer is A.
Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
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The difference is ...
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<em>Additional comment</em>
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
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Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.
