Answer:
$570
Step-by-step explanation:
Given that:
For each hour of tutoring, Lena earns 30 dollars.
E is her earning and
H is the number of hours for which she tutors.
To find:
Equation relating E to H.
Solution:
Let Lena tutors for 1 hour, then the earning = 30 dollars
Let Lena tutors for 2 hours, then the earning = 30+30 OR 2
30 = 60 dollars
Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 330 = 90 dollars
If Lena tutors for H number of hours, then the earning, E = 30 + 30 + .... + 30 (H times) i.e.
So, the equation that relates E to H is given as:
Now, it is given that she tutors for 19 hours.
Let us put H = 19 hours in the above equation:
Therefore, the earning for 19 hours of tutoring is <em>570 Dollars.</em>
Distance = 13.243 * 22.07= 292.27miles
The slope of the line is 2 whose equation is given by y = 2x.
The given equation is y = 2x
The general equation of the line is given by
y = mx +c where m is the slope and c is the intercept of the line.
The slope of line a line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run."
The intercept of the line is a point on the y-axis known as an intercept is where the line's slope passes.
On Comparing the given equation with the general equation, we have:
m = slope = 2
Thus the slope of the line is 2.
To read more about slopes, visit brainly.com/question/3605446
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First, you need to find the length of the second side. You do this by dividing the area by half the length of the known side
This gives you 14 cm for the unknown side
At this point, you plug the two sides of the triangle into the Pythagorean Theorem, which is a^2 + b^2 = c^2
(48)^2 + (14)^2 = c^2
2304 + 196 = c^2
2500 = c^2
The square root of 2500 is 50 so the length of the hypotenuse is 50
Since the sphere is located at the center and has radius 5.
Out of the following given points,
(5,5,-5) will lie on the sphere, where x and y coordinates will be positive and z coordinate will be negative.
This is because the radius of the circle is 5 units.
