Answer: 9
Step-by-step explanation:
In order to find the people out of the 150, we first multiply 9/25 and 150 together. This will give us the people who DO own a dog. This brings us to 54.
Now, if we multiply 54 by 1/6 we get the answer of 9, because 1/6 of the dog owners own a cat as well. We have now reached the desired amount.
Answer: SSS
Proof:
In ΔMLQ and ΔNPQ,
MQ = NQ (given) S
Since Q is the midpoint of LP, by definition, LQ = QP (S)
LM = PN (given) S
∴ ΔMLQ ≡ ΔNPQ (SSS)
P is the perimeter of a rectangular garden.
P = 2 L + 2 W,
where L is the length and W is the width of a rectangle.
W ≤ 30 ft
2 L + 2 W ≤ 180 ft
2 ( L + W ) ≤ 180
L + W ≤ 180 / 2
L + W ≤ 90
Answer:
A system of inequalities:
W ≤ 30
L + W ≤ 90
I<span>s that cos (2pi/3) or cos^2 (pi/3) ????</span><span>
1/2 of 2 =1
</span>cos (2pi/3) = - 1/2 <span>
cos (pi/3) = 1/2
cos^2 (pi/3) = 1/4
take your pick!
pi/3 radians = 60 degrees, and cos is looking for the side adjacent to the 60 degree angle
in a 30-60-90 triangle, the sides are in the ratio 1-sqrt(3)-2
so cos 60 = 1/2
2(pi/3) = 120 degrees-- the same triangle, except now, x is negative ==> cos 2pi/3 = -1/2</span>
The answer is <span>amplitude = 2 feet; period = 24 hours; midline: y = 3
x1 - the lowest point
x2 - the highest point
x1 = 1 ft
x2 = 5 ft
t1 = 0
t2 = 24
The amplitude is: (x2 - x1)/2 = (5 - 1)/2 = 4/2 = 2 ft
The period is: t2 - t1 = 24 - 0 = 24 h
The midline is: (x1 + x2)/2 = (5 + 1)/2 = 6/2 = 3 ft</span>
