7.79cm It is an equilateral triangle so it has 3 equal sides. That means each side is 9cm. <span>
Now draw a line from the top of the equilateral triangle to the base, and dividing it into two. You will have made two smaller triangles, with sides 9, 4.5, and h (the one you want to find).
A line drawn from the apex of an equilateral triangle to the midpoint of the base is perpendicular to the base, so you can use Pythagoras' Theorem!
4.5^2 + h^2 = 9^2
h = sqrt(9^2 - 4.5^2)
Therefore, the height is 7.79cm (2 decimal places)</span><span>
</span>
Answer:
The answer you have is Correct!
So a trim lasts 1/4*60=15 minutes and a style lasts 1/6*60=10 minutes.
If we add these together, 15+10=25 minutes that is how long each customer takes.
In one day she works for 3 1/3*60=200 minutes in total, so can fit in 200/25=8 appointments per day.
So in 5 days she can have 8*5=40 total appointments each week.
Answer:
7/8
Step-by-step explanation:
To find: number which represents the expression
Solution:
Integers refers to natural numbers, 0 together with negative of rational numbers.
A rational number is the number of the form where p and q are integers and .
So, represents
Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)
