The easiest way is to use (& to memorize) the sum formula for a AP:
Sum = 1st term added to the last term & multiplied by half the number of terms
S = (a+l)n/2
S = (5 + 53)(7/2) = 203
Answer:
The specific weight is 
Step-by-step explanation:
The question in English
A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed
step 1
Find the radius of the cone
we know that
The lateral area of a cone is equal to

we have


substitute the values

Simplify


step 2
Find the height of the cone
Applying the Pythagoras Theorem

substitute the values and solve for h




step 3
Find the volume of the cone
The volume of the cone is equal to

substitute the values


step 4
Find the specific weight
Divide the mass by the volume

I think a) would be the answer. I proceeded by elimination: the domaine of the function goes from 3 and continues to infinity, so that leaves with a) and b) as possible answers. Both have the same range and both of their functions reflect over the x axis, so we have to compare the two answer by looking at the position of the function in the graph. The function is in the first quadrant (top right corner), so the position of the function has to be at our right, which leads us to a).
I think its runner B because its lower down then runner A hope this helps
Answer:
y = -1/3x + 4
Step-by-step explanation:
y = 3x +5
current slope m is 3, perpendicular is opposite inverse which is -1/3
Passing through (6,2):
y = mx + b
2 = -1/3(6) + b
2 = -2 + b
b = 4
Use the perpendicular m = -1/3 and b = 4 to form equation of line:
y = mx + b
y = -1/3x + 4