Answer:
x = -7
Step-by-step explanation:
First we find the slope using
m = ( y2-y1)/(x2-x1)
= ( -8 - 5)/( -7 - -7)
= (-8-5)/(-7+7)
= -13/0
This means the slope is undefined and the line is vertical
Vertical lines are in the form
x= constant and the constant is the x value of the points
x = -7
Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
1.5 tons = 3000 pounds (because 1 ton is 2000 pounds)
Subtract 300 pounds, and you get 2700 pounds.
Answer:
Step-by-step explanation:
area of a cylinder = (area of a circle) times the (height)
area of a cylinder = π radius² × height
radius = 57 cm height = 40 cm
area of a cylinder = π 57² cm² × 40 cm
= π (57² × 40) cm³
= π ( 57 × 57 × 40) cm³ 57x57 = 399 + 2850 = 3249
= π (3249 × 40) cm³
= 129969π cm³ π = 3.14
= 129969 × 3.14 cm³
= 408,074.4 cm³ < ----------------- Final Answer
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