Answer:
3/4
Step-by-step explanation:
you do change in y over change in x which is 7-4 over 3+1
when you do the calculations you get 3/4
Answer:
Let the width be "x"
Then the length is "2x".
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Equation:
Perimeter = 2(L + W)
177 = 2(2x+x)
88.5 = 3x
x = 29.5 ft. (width)
2x = 59 ft (length)
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Step-by-step explanation:
Answer:
21 = .75x - .1x + 3
Step-by-step explanation:
Daria made a profit of $21.00 selling lemonade. She sold her lemonade for $0.75 per cup, received a tip of $3 from a neighbor, but also had to buy each plastic cup she used for $0.10 per cup. Write an equation to represent this situation.
Total Profit = $21.00
x= number of cups
Price of each cup = $0.75
She paid $0.10 for cups used by her
Tip from neighbor= $3
Equation:
Expected Total cost of cups = 0.75 * x
= 0.75x
Cost of cups used = 0.10 * x
= 0.1x
Daria used 0.1x of the total cups that should be sold
Total sold= Expected cups to be sold - used cups
= 0.75x - 0.1x
Profit = Total sold + tip from neighbor
21.00 = 0.75x - 0.1x + 3
21 = .75x - .1x + 3 is the equation
Answer:
B) 6 tan(35°)
Step-by-step explanation:
from the right angle tan° = opposite / adjacent
therefore tan (35°) = (x) / 6
by multiplying 6 to both sides
tan (35°) * 6 = (x) / 6 * 6
therefore (x) = 6 tan (35°)
Answer:
√8 degrees Celsius per meter.
Step-by-step explanation:
The highest rate of temperature increase is given as 4 degrees Celsius per meter with its direction in northeast.
Imagine this high rate as a diagonal vector pointing in the northeast direction.
This vector has an x component (horizontal, or east) and a y component (vertical, or north).
The highest rate (maximum) is found as the magnitude of these two components.
It is the square root of (x^2)+(y^2).
4 = √((x^2)+(y^2))
-> Take the square of both sides to remove the square root on the right side of the equation.
16 = (x^2)+(y^2)
-->The x^2 and y^2 values each must equal 8 in order to get: 8 + 8 = 16
(x^2) = 8
x = √8
(y^2) = 8
y = √8
If the object moves directly north, it is therefore moving only in the y-direction.
Thus, it is increasing at a rate of √8 degrees Celsius per meter.