The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
... d = √((3 in)² +(13 in)²) = √(9+169) in = √178 in
The tangent of the angle you want to find is the ratio of the height of the box to this length:
... tan(α) = 4/√178
Taking the arctangent, we have
... α = arctan(4/√178) ≈ 0.291285 radians
The total area available for cars to park will be 858m².
<h3>How to calculate the area?</h3>
The area of the parking lot will be:
= 78 × 19
= 1482m²
The area of aisle will be:
= 8 × 78
= 624m²
The available area will be:
= 1482m² - 624m²
= 858m².
The compact parking spaces that will fit in the lot will be:
N × 12.5 = 858
N = 858/12.5
N = 68
The non compact parking spaces that will fit in the lot will be:
N × 16.5 = 858
N = 858/16.5
N = 52
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Answer:
(4x - 5)(x + 2).
Step-by-step explanation:
4x^2 + 3x - 10
4 * 10 = -40
We need 2 numbers whose product is -40 and whose sum is +3.
Theses are = - 5 and + 8.
So we write:
4x^2 + 8x + -5x - 10
= 4x(x + 2) - 5(x + 2)
= (4x - 5)(x + 2).
Answer:
38.88
Step-by-step explanation:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
This depends on what you are trying to convert it to.
If you are trying to find how many products he makes per hour, you can set up the equation to be 14/45 is equal to x/60 and try and solve for x