The surface area of a sphere of radius r is A = 4π*r^3.
Since the radius in this case is 8 cm (half the 17 cm diameter), the area of this sphere is
A = 4π(8 cm)^2, or 256π cm^2.
Answer:
BC and AC are the answers
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
For the 1st hour the cost is $50 whatever is the duration (providing it's 1 hour max.
From one hour and onward the cost becomes an additional $25 per quater of an hour.
If y is the cost and x the number of hours, then the equation becomes :
y =50 + 0.25.x or y =1/4x + 50
Answer:
the answer is H. it's slope is 5/4 which is the opposite reciprocal of -4/5 and that makes the lines perpendicular.