Answer:
188π in^2
Step-by-step explanation:
Surface area of the rocket = surface area of the cone + surface area of the cylinder
Surface area of a cone = πr(r+h^2+r^2)
r = 8/2 = 4 in
4π( 4 + 3^2 + 4^2) =
4π ( 4 + 9 + 16) = 116π in^2
Surface area of a cylinder = 2πrh+2πr^2
(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2
116 + 72 = 188π in^2
Answer:
45x happy to help ya :)
Step-by-step explanation:
Directrix is a horizontal line, so the parabola is of the form
<span>(x-h)^2= 4p(y-k) , where (h,k) is the vertex </span>
<span>Coordinates of the focus is (h, k+p) </span>
<span>h = 8 (same as the focus) </span>
<span>k+p = -8 -----(1) </span>
<span>equation of directrix is y=k-p </span>
<span>k-p = -6 ------(2) </span>
<span>from (1) & (2) </span>
<span>2k = -14 </span>
<span>k=-7 </span>
<span>-7+p= -8 </span>
<span>p = -1 </span>
<span>vertex = (8,-7) </span>
<span>(x-8)^2 = -4(y+7) </span>
<span>y+7 = (-1/4) (x-8)^2 </span>
<span>y = (-1/4)(x-8)^2 - 7 is the parabola </span>
<span>What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? </span>
<span>Directrix is a horizontal line, so the parabola is of the form </span>
<span>(x-h)^2= 4p(y-k) , where (h,k) is the vertex </span>
<span>Coordinates of the focus is (h, k+p) </span>
<span>h = 1 (same as the focus) </span>
<span>k+p = 1 -----(1) </span>
<span>equation of directrix is y=k-p </span>
<span>k-p = -1 ------(2) </span>
<span>from (1) & (2) </span>
<span>2k = 0 </span>
<span>k=0 </span>
<span>0+p= 1 </span>
<span>p = 1 </span>
<span>vertex = (1,0) </span>
<span>(x-1)^2 = 4(y-0) </span>
<span>(x-1)^2=4y </span>
<span>y = (1/4) (x-1)^2 is the parabola</span>
Answer:
121°
Step-by-step explanation:
<B = 9x - 5°
<D = 10x - 19°
<B = <D ( being opposite angles of parallelogram)
9x - 5° = 10x - 19°
10x - 9x = 19° - 5°
x = 14°
Now
<B = 9x - 5°
= 9 * 14° - 5
= 121°
Answer:
21
Step-by-step explanation:
8 * 2 = 16
5 * 2 = 10
68 - 16 = 52 - 10 = 42.
The perimeter of the square is 42.
42 / 4 = 10.5. 10.5 is the length of a side.
10.5 * 2 = 21.