Answer:
30 degrees
Step-by-step explanation:
u dot v=1*4+1*4+1*4+0*4=4+4+4+0=12
|u|=sqrt(1^2+1^2+1^2+0^2)=sqrt(3)
|v|=sqrt(4^2+4^2+4^2+4^2)=sqrt(4*4^2)=2*4=8
cos(theta)=u dot v/(|u||v|)
cos(theta)=12/(sqrt(3)*8)
cos(theta)=3/(sqrt(3)*2)
cos(theta)=sqrt(3)/2
theta=30 degrees
9514 1404 393
Answer:
6. A
7. C
8. E
Step-by-step explanation:
6. Devon gets $0.45 for each of the s programs he sells, so his pay for selling is 0.45s. He gets a $40 flat rate for each game, so his total pay is ...
p = 0.45s + 40 . . . . . matches choice A
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7. Robert gets $25 per hour in tips for each of the x hours he works, so his tip earnings are 25x. He gets a $40 flat rate for each day he works, so his total pay for working x hours is ...
y = 25x +40 . . . . . matches choice C
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8. The graph of a proportional relationship is a straight line through the origin. This is described by B and C, so choice E is the best.
Answer:
Step-by-step explanation:
Answer:
We have been given that a car can travel 476 miles on 14 gallons of gas and we are asked to write an equation relating the distance d to the number of gallons g.
We can set an equation as distance traveled is directly proportional to number of gallons used in travelling that distance.
Now we will find out K(number of miles traveled in one gallon of gas) by substituting our given values in this equation.
Therefore, we can see that car travels 34 miles in one gallon of gas.
Now we can use this information to find out how many gallons of gas does this car need to travel 578 miles.
Let us divide number of miles to be traveled by number of miles traveled in one gallon of gas to find out number of gallons of gas needed.
Therefore, car need 17 gallons of gas to travel 578 miles.
Step-by-step explanation:
The correct answer is the first option -
ninth root of x squared.
To see how I got that answer, take a look at the attachment below.
