Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
Between 85 and 100
Step-by-step explanation:
Getting this will get the average between the required numbers since the average of 83 and 87 is 85, getting 85 will keep the answer at 85 and getting 100 will get the average at 90.
Answer:
Part A: 9.75x > 195
Part B: x > 20
Step-by-step explanation:
Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.
We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195
divide both sides by 9.75 to solve for x
x > 20
i think this is your answer: 12.0 and 12.5
