Answer:
D. 7
Step-by-step explanation:
(8+4) = 2(x-1) multiply (x-1) by 2
(8+4) = 2x-2 add 8 and 4
12 = 2x-2 add 2 on both sides
14 = 2x divide both sides by 2
7 = x
Answer:
28.6m
Step-by-step explanation:
this question is very incomplete. it requires a number of assumptions to give an answer. the main one - where is Bryan located relative to Anna ? I assume diametrically on the opposite side of the kite. because he has the steeper angle, it is clear that he is nearer to the kite.
so, I guess, we have to add his distance to the kite to her distance to the kite to get the distance between her and him.
but he could be on any point on a circle around the kite to have the same viewing angle, and we would have no clue about where on that circle.
as the other extreme alternative, he could be on the same line to the kite as Anna. and then we would have to subtract his distance from her distance.
but again, we assume he is exactly on the other side of the kite.
anyway, each person creates a right-angled triangle with the kite:
there is the direct line of sight as the base line or Hypotenuse (c).
there is the line on the ground from the person to the point on the ground directly under the kite as one side.
there is the line representing the height of the kite above ground as the other side. we let this start at the height of the eyes of the watching person.
and we assume that both persons are of the same height (so the height of the kite relative to their eyes is the same for both).
let's start with Anna.
the side a of Anna's triangle is
a = 20m
angle between a and c = 44 degrees
we know the angle between a and b is 90 degrees.
therefore the angle between b and c = 180-90-44 = 46 degrees.
now we use the law of sines :
a/sin(bc) = b/sin(ac) = c/sin(ab)
we know sin(ab) = sin(90) = 1
20/sin(46) = b/sin(44)
b = 20×sin(44)/sin(46) = 19.31... m = height of the kite
now to Bryan.
now we know his b (height of the kite) = 19.32... m
his angle between a and c is 66 degrees.
his angle between a and b is also 90 degrees.
therefore his angle between b and c = 180-90-66 = 24 degrees.
19.31/sin(66) = a/sin(24)
a = 19.31×sin(24)/sin(66) = 8.6 m
based on our assumption that they are standing opposite from each other in relation to the kite their distance is
20 + 8.6 = 28.6m
Answer:
The answer is 0.7036.
Step-by-step explanation:
Check the attached file for the computations.
The probability that the mean life of a random sample mean elongation is between .0585 in. and .0605 in. is 70.57%
Z score is used to determine by how many standard deviations the raw score is above or below the mean.
It is given by:
z = (raw score - mean) / (standard deviation÷√sample)
Mean = 0.06, standard deviation = 0.008, sample = 100.
For x = 0.0585:
z = (0.0585 - 0.06)/ (0.008 ÷√100) = -1.88
For x = 7.2:
z = (0.0605 - 0.06)/ (0.008 ÷√100) = 0.623
P(-1.88 < z < 0.63) = P(z < 0.63) - P(z < -1.88) = 0.7357 - 0.03 = 0.7057
The probability that the mean life of a random sample mean elongation is between .0585 in. and .0605 in. is 70.57%
Find out more on z score at: brainly.com/question/25638875
Answer: 3x - 7
x = some input number
3x = triple the input
3x - 7 = difference of triple the input and 7
C. Sometimes
D. Not enough information.
Answer:
41 4/15 is how far the bus has traveled
Step-by-step explanation:
total distance = distance traveled + distance to go
65 3/5 = x + 24 1/3
Subtract 24 1/3 from each side
65 3/5 - 24 1/3 = x
Get a common denominator of 15
65 3/5 *3/3 = 65 9/15
24 1/3 *5/5 = 24 5/15
65 9/15 - 24 5/15=x
41 4/15 is how far the bus has traveled
The probability that Joe is given a task is 1/8.
To find the probability that Joe is given a task, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Based on the given information, there are 8 board members in total, including Joe. Since there is at most one task per person, there are 8 possible outcomes for the first task, 7 possible outcomes for the second task, and 6 possible outcomes for the third task.
The number of favorable outcomes is 1 for each task since Joe is one of the two male board members. Therefore, the probability that Joe is given a task is 1/8.
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