The collected tax on purchase of $76.00 is $5.32
Further explanation:
The sales tax is calculated on the total sales by the formula

Given
Total purchase = $76.00
Percentage of tax = 7%
So,
Putting the values in the formula

So, the collected tax on purchase of $76.00 is $5.32
Keywords: Tax, tax calculation
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The school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².
<h3>What is a quadratic equation?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:

We have:
A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².
From the second equation of motion:

We have given:
s = 95.1 m
u = 26.8 m/s
a = 4.73 m/s²

The above equation is a quadratic equation:
After simplification:


t = 5.373 seconds ≈ 5.34 seconds
Thus, the school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².
Learn more about quadratic equations here:
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Answer:
b. 44/117
Step-by-step explanation:
Calculate tan(x) and tan(y) - can use calculator, or use Pythagoras' Theorem to calculate the length of the 3rd side of the right triangle (as you already have the side opposite to the angle and the hypontenuse, since sin(x) = O/A) and then determine tan(x) using tan(x) = O/A
Then use these values in the tan sum angle trig identity formula.
see attachment for step-by-step