Answer:
Step-by-step explanation:
5x:8=7:2
5x/8=7/2
<u>By Cross Multiplication:</u>
10x=56
x=56/10
x=28/5
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Answer:
1694 ft
Step-by-step explanation:
The adjacent side of this right triangle is 75 feet in length, and the two given angles are 90 degrees and 67.5 degrees. Since the adjacent side is given and the opposite side is what we are looking for we can use
tan(x) = opposite/adjacent insert the given information into the equation
tan(67.5) = opposite / 75ft multiply both sides of the equation by 75
tan(67.5)*75 = opposite leaving us with the target variable
once you plug that equation into a calculator you get 1694 as your nearest whole answer.
5. since .6 is greater than 5, we round up.
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
Given question is not complete: find the complete question with attachment
Errol's bike ride can be modeled by the equation,

Slope of the given equation =
which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,

Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
He worked 4 hours Monday morning so he earned $44 and afternoon 4.5 hours so 49.5 total 93.5