The constant π is defined as the ratio of the circumference of a circle with respect to its diameter, mathematically:
π=C/d which can be rearranged to
C=πd
Since the diameter is equal to twice the radius of the circle, ie d=2r
C=2πr dividing both sides by 2π gives you:
r=C/(2π), the "spoke" in our problem is equal to the radius of a circle, and we are told that C=42in so:
r=42/(2π) in
r=21/π in
r≈6.68 in (to nearest hundredth of an inch)
Answer:
Left to right: Zoe, Johana, Kami, Craig
Step-by-step explanation:
The values of x can be found by solving each of the equations.
A) x/-12 -2 = -22 ⇒ x = -12(-22 +2) = 240 . . . (first step: add 2)
B) 3x -21 = 15 ⇒ x = (15 +21)/3 = 12
C) -12x +2 = -22 ⇒ x = (-22 -2)/-12 = 2 . . . (first step: subtract 2)
D) 1/2x +66 = 126 ⇒ x = 2(126 -66) = 120
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Zoe's equation requires adding 2 as the first step. It is equation A.
Craig's equation's solution is half that of Zoe's. 240/2 = 120. Craig's is equation D.
Kami's equation requires subtracting 2 as the first step. It is equation C.
Johana's equation's solution is 6 times that of Kami's. 6·2 = 12. Johana's is equation B.
The names that go in the blanks, left-to-right, are ...
Zoe, Johana, Kami, Craig
Area of a trapezoid is height times the average of the bases,
A= 1/2 h (a + b)
Here we have height h=12 and bases a=30, b=12 so area
A = (1/2) (12) (30 + 12) = 6(42)= 252
Answer: B
Answer:
of each what?
Step-by-step explanation:
Answer:
By substituting x and y vars with that in (x, y)
Step-by-step explanation:
2 * (-3) + 3 * 4 = 6 solution
2 * 0 + 3 * (-2) = -6 not solution
