The sum of the angles of a quadrilateral is 360°.
Given that x=30, the measure of ∠C is
∠C = (5/2)×30 +40 = 115
The appropriate choice is ...
D) 115°
Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
The LCM (least common denominator) of 3, 4, 6 and 8 is...
24
This is simple division:
So, plug it into your calculator and you get:
Your answer's that
it takes 4.5 hrs for the surveillance run.
So if you're adding two negatives you move left, positive you move right, and when you have to determine a negative, and a positive you just have to see which one is the farthest from zero which the farthest one's sign is either positive, or negative. Positive to move right, and negative to move left.
