9^3 is 729 so x^3 = 512 and you find it to be 8
Answer: 4
36.87 degrees
Step-by-step explanation:
The figure shown is a right angled triangle. It has three sides, one of which is the longest. The longest side is called the hypotenuse. Either of the shorter sides is called the opposite and the adjacent side(always the side carrying both the 90 degrees angle and the given angle).
Since the triangle is a right angled triangle,
We can apply Pythagoras theorem to get the opposite side.
Hypothenuse ^2 = opposite ^2 + adjacent ^2
5^2 = 4 ^2 + opposite ^2
opposite = √ 25 - 16
opposite = √9 = 3
Let the angle be # degrees,
Cos # = adjacent / hypothenuse
= 4/5 = 0.8
# = cos^-1 (0.8) = 36.87 degrees
If the original price was 'p', the new price would be 'p - 10%p' or 'p - 0.1p'. We know this is equal to 305, so 'p - 0.1 p = 305' would be the equation.
The volume of the water in the 100-mL graduated cylinder is 76.0 mL .
The volume of water in the 50-mL graduated cylinder is 38.5 mL.
<h3>What is the volume of the water?</h3>
Water is already measured in terms of the volume that it occupies. This means that water that has a measurement of 76.0 mL will have a volume of 76.0 mL.
In the same vein, water that has a measurement of 38.5 mL will also have a volume of 38.5 mL.
The graduated cylinder is used to measure the volume of water but there is not need as we already know the water's volume.
Find out more on the volume of water at brainly.com/question/17687666
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Answer:
Average Rate of Change : 3
Step-by-step explanation:
" Remember that the average rate of change of function f say, on interval [a,b] would be f(b) - f(a) / b - a. Similarly we can solve for the average rate of this function. "
f(5) = x² - 2x - 15 = 5² - 2(5) - 15 = 25 - 10 - 15 = 0,
f(0) = 0² - 2(0) - 15 = 0 - 0 - 15 = - 15
And the average rate of change will be,
f(5) - f(0) / 5 - 0 = 0 - ( - 15 ) / 5 - 0
= 0 + 15 / 5 = 15 / 5 = 3
The average rate of change over the interval [0, 5] is hence 3.
