Set up two equations
T = how tall
W = how wide.
T = W + 25 is the first equation
5
×
{
2
(
T
+
10
)
}
+
5
×
(
2
×
W
)
=
1350
This equation is the total height adding 5 for the top border and 5 for the bottom border. Then multiplying the total height by the width of the border 5, time 2 because there are two sides that are tall Then adding 5 times two widths.
Answer:
A. 1
Step-by-step explanation:
✔️To find f(g(1)), first find g(1).
From the mapping given for g(x), the corresponding value of x = 1, is 0.
That is,
g(1) = 0
✔️Next is to find f(g(1)) by replacing x with 0 in f(x) = 3√x + 1
Thus:
f(g(1)) = 3√0 + 1
f(g(1)) = 0 + 1
f(g(1)) = 1
Let r represent the radius of the smaller circle and R the radius of the larger
circle.
Apply ratios: the radius of the smaller circle to the radius of the larger circle.
r: R = 3 : 7.
I complete rotation = 360 degrees.
1st:
For one complete rotation of the smaller circle, the larger circle is rotated through (3/7)*(360) = 154.3 degrees
2nd:For one complete rotation of the larger circle, the larger circle is rotated through (7/3)*(360) = 840.0 degrees
This is equivalent to (840/360) = 2.3 rotations
Alternatively, use the ratios: The number of rotations = R/r = 7/3 = 2.3 rotations
Hope this helped☺☺
Step-by-step explanation:
9x2 − 12x + 4 = 18 - 12x + 4 = 22 - 12x = 2(11 - 6x)
length of 1 side = ± sqrt 2(11-6x) (rej neg value)
