Answer:
122
Step-by-step explanation:
For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the divide until it reaches the remainder.
It must be fulfilled that:
Dividend = Quotient * Divisor + Remainder
we have that the remainder is 122.
have a good day
The perimeter of a rectangle is 2*L+2*W. Knowing that length is 99, we do 2*99 to get 198.Do 374-198, which is 176, we know that that is twice the length of the width. Therefore the width is 176/2, which is 88.
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
Surface area in units of PI = 2 x r x h +2 x r^2
first picture:
r = 7, h = 18
2 x 7 x 18 + 2 x 7^2
252 + 98
350 PI cm^2
2nd picture:
2 x 9 x 20 +2 x 9^2
360 + 162
522 PI in^2
