Answer: 22 inch
Step-by-step explanation:
Direct variation is y = kx, where k is the constant of variation.
But now it says y varies directly with x2 (or 2x), so now the x in the equation is 2x.
The equation is y = k(2x)
Now you find k.
y = 96 when x = 4.
(96) = k(2*4)
96 = k(8)
k = 12
The equation is now y = 12(2x)
To find the value of y when x=2, plug 2 into the equation you made.
y = 12(2*2)
y = 48
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Now it's with a "quadratic variation," which is the same thing except x is squared.
The equation is y = kx^2
But y varies directly with x2 (same thing as 2x), so now it's y = k(2x)^2.
Now you find k by substituting y and x values that were given.
y = 180 when x = 6
(180) = k(2*6)^2
180 = k(12)^2
180 = k(144)
k = 1.25
k, 1.25, is the constant of variation.
Answer:
L = 315 cm2 ; S = 399.9 cm2
Step-by-step explanation:
Lateral area;
3 × (½)(14)(15)
315 cm²
Surface area:
315 + (½)(14)(14)sin(60)
399.8704896 cm²
This is asking what is z and y, so you must know that a triangle is 180 degrees, so if it is 180 degrees, than all three angles that the triangle has must add up to 180 for every single triangle for it to be a triangle. So you have 45 degrees and 47 degrees, which adds up to 92 degrees, so in order to find y you need to subtract 92 from 180, which is 88. 88 is the missing number, and the missing number in this triangle is y, so y= 88 degrees. This can fool you because it looks like 90 degrees, but it is actually 88. Z is a little trickier, because y isn't 90 degrees, if it was than z would be a direct reflection of y, but it isn't, so we must find the exact angle for this variable. I see it like this, if y is 88, than it is smaller than 90 obviously, so it is acute. If that line keeps going down, than really z would be bigger than y, because that line is going down but it is so hard to tell. So if y is smaller by 2 degrees, than z would be bigger by 2 degrees, meaning that z is 92 degrees, since it is slowly decreasing. Hope this helps
Answer:
Step-by-step explanation:
The function f(x) is 3x+5
● (f-1)(x) = 3x+5 -1
● (f-1)(x) = 3x+4
Replace x with 3
● (f-1)(x) = 3×3+4 = 13
