Answer:
3 1/2
Step-by-step explanation:
1/4=2/8
7/8 divided by 2/8= 3 1/2
1748 people are expected to stop at the gift shop out of 2300.
Step-by-step explanation:
Given,
Number of random sampled people = 350
Number of people who stopped at shop = 266
Percentage = 
Percentage = 
Therefore,
76% people would stop at the gift stop.
Number of people = 2300
Expected number = 76% of total
Expected number = 
Expected number = 1748
1748 people are expected to stop at the gift shop out of 2300.
Answer:
0.015 radians per second.
Step-by-step explanation:
They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.
Which we can calculate in the following way:
θ = arc sin 100/200 = pi / 6
Then we have the following equation of the attached image:
x / 100 = cot θ
we derive and we are left:
(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt
dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)
dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)
dθ / dt = 0.06 / (-2) ^ 2
dθ / dt = -0.015
So there is a decreasing at 0.015 radians per second.
Answer:
50 is more than 27
Step-by-step explanation:
27 comes before 50
Answer:
<4 = 126
<7 = 55
Step-by-step explanation:
Remark
There are only 2 answers to this question. <4 has one of them and <7 has the other one. <7 is acute. <2 is obtuse.
Givens
<2 = 55 degrees
Solution
<4 is the supplement of <2
Therefore <4 + <2 = 180 A straight line has an angle of 180°
<4 + 55 = 180
<4 = 180 - 55
<4 = 125
So <7 is either 55 or 125. Since <7 is acute, it is 55 degrees but we have another way of proving it.
<4 + <6 = 180 degrees Interior angles on the same side of the transversal are supplementary
125 + <6 = 180
<6 = 180 - 125
<6 = 55
<7 =<6 Vertically opposite angles are equal.
<7 = 55 degrees.