(500 / (10/2) / 5 ) * x / 5 = 20 * x / 5 = (20 / 5) * x = 4 * x
Answer:
find the value of x that makes the denominator zero: x = 7
Step-by-step explanation:
A vertical asymptote shows up where the denominator is zero. As the denominator gets closer to zero, the function value gets larger without bound (unless there is a numerator factor that cancels the one in the denominator).
To find the value of x at the vertical asymptote, solve the equation ...
denominator = 0
x - 7 = 0
x = 7 . . . . . . . add 7 to both sides
Step-by-step explanation:
it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).
what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.
since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).
and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.
AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).
the area of this triangle AOB is
1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =
= 3.897114317... m²
a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).
so, it's area is
pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²
so, the total area of the shaded area is
3.897114317... m² + 4.71238898... m² =
= 8.609503297... m²
Answer:
The missing digits are 3 and 1.
Step-by-step explanation:
6+3÷3-1=2
9÷3-1=2
3-1=2
17/10-(2/5x2/2)
17/10-4/10
=13/10
