Answer:
184 in.^2
Step-by-step explanation:
The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.
area of circle
surface area of sphere
8 action, 3 comedy, 5 drama....total = 16 dvd's
P(2 action, then a comedy)...without replacement
8/16 * 7/15 * 3/14 = (8 * 7 * 3) / (16 * 15 * 14) = 168/3360 = 1/20
Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
= 
+ 
= 
+ 
36 + 12r + = 81 +
collecting like terms,
12r = 81 - 36
12r = 45
r = 
= 3.75
r = 3.75
The radius is 3.75.
Answer:
7.5 meters
Step-by-step explanation:
As with many quadrilaterals, pairs of sides have the same length, so the perimeter is twice the sum of two of the sides.
In a kite, generally, opposite sides have different lengths, so the perimeter is twice the sum of the lengths of opposite sides. That is
51 m = 2(18m + side opposite)
15 m = 2 × (side opposite)
7.5 m = side opposite
_____
<em>Comment on side lengths</em>
In a rectangle or parallelogram, the perimeter is twice the sum of adjacent sides. A kite is different in that adjacent sides may be the same length. If the kite is not a rhombus, <em>opposite</em> sides are <em>always</em> different lengths.
To factor (q+3)(q+6)
q^2+6q+3q+18
q^2+9q+18
(q+9)(q+2)
