Answer:
The sine = 0.2724 and the cosine = -0.9615 to 4 decimal places.
Step-by-step explanation:
The point (-7,2) is in the second quadrant .
The sine is positive and the cosine is negative,.
The hypotenuse of the triangle in the second quadrant = √((-7)^2 + 2^2)
= √53 ( by Pythagoras), the opposite side = 2 and the adjacent side = -7.
So the sine of the angle is 2 /√53 and the cosine is -7/√53.
or 0.2724 and -0.9615 to 4 decimal places.
9514 1404 393
Answer:
≈ (3.578, 5.789)
Step-by-step explanation:
We can substitute for y and solve for x.
(x -h)^2 +(y -k)^2 = r^2 . . . equation of a circle with center (h, k), radius r
x^2 +(y -4)^2 = 4^2 . . . . . . the equation of the given circle
x^2 +((0.5x +4) -4)^2 = 16
(5/4)x^2 = 16
x = 8/5√5 . . . . multiply by 4/5 and take the square root
y = 0.5x +4
y = 4/5√5 +4
The point of intersection is (8/5√5, 4+4/5√5), approximately (3.578, 5.789).
<span>As a shopper, </span>do<span> you prefer large </span>stores<span> with low </span>prices<span> in an inconvenient </span>location<span>, or smaller </span>stores<span> that are near your home and offer good customer ... behavior of consumers to </span>determine<span> what makes shoppers choose one place over another and how retail managers </span>can<span> drive traffic to their </span>stores<span>.</span>
Answer:
1,000,000,000
Step-by-step explanation:
Answer:
15/56
Step-by-step explanation:
5 people have a license
3 people don't
? = Probability that first person has a license and second does not
We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.
P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.
P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.
P1 and P2 are dependent events, thus P(1,2) = P1 * P2.
P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56
