Answer: 95 feet
Step-by-step explanation:
Let the length of the horizontal run be represented by x.
Slope Grade = (Rise/Run) × 100
20 = (19/x) × 100
20 = 1900/x
20x = 1900
x = 1900/20
x = 95
Therefore, the length of the horizontal run must be 95 feet
Answer:
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Step-by-step explanation:
Ummmm it’s already solved lol do u mean on a graph or something
Let x = the total number of pennies her piggy bank can hold.
Then 2/3x = the number of pennies she started with
Then 2/3x - 80 = the number of pennies she has left after taking out 80 pennies.
Then 1/2x = the number of pennies she has left after taking out 80 pennies.
Build the equation.
2/3x - 80 = 1/2x
Subtract 1/2x from each side of the equation.
(2/3x - 80) - 1/2x = 1/2x - 1/2x
1/6x - 80 = 0
Add 80 to both sides of the equation.
(1/6x - 80) + 80 = 0 + 80
1/6x = 80
Divide both sides by 1/6.
(1/6x) / 1/6 = 80 / 1/6
x = 480
So, Linda's piggy bank can hold 480 pennies!
The correct answer is C. All reference angles must be less than 90 degrees.
This is helpful when learning more complex topics including circular trigonometry and the unit circle, because the reference angle (typically denoted as theta prime) has the same trig values (sine and cosine) no matter which quadrant the angle is located in. Additionally, the reference angle is always the smallest angle possible between the terminal side of the angle and the x-axis; therefore, it must always be less than 90 degrees or else another smaller (and thus correct) reference angle could be made in another quadrant.
Hope this helps!