The distance from point Y to the y-axis is 4 units and the distance from point Z to the y-axis is 3 units, then the lelgth of the segment YZ is 4+3=7 units.
If <span>a scale factor is 3, then the length of Y'Z' will be 7·3=21 units.
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P.S. In the added picture you can see trapezoid ABCD that was dilated by a scale factor 3 about the origin. This may help to understand that all linear values after dilation become multiplied by scale factor.
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Answer:
27 hours
Step-by-step explanation:
Let her work "x" hours for paperwork
Since, patrolling amount of hours is THREE TIMES that,
Patrolling = 3x hours
Total Hours = 36
That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:
x + 3x = 36
4x = 36
x = 36/4
x = 9 hours
Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours
So, she spends 27 hours patrolling
Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
If the test gives a positive result for an infected person 98% of the time, that means that 2% of the time, it gives a negative result for an infected person, which would be a false negative.
If the test is 97% accurate for non-infected people, that means that it gives a negative result 97% of the time. So a positive result will be given 3% of the time for non-infected people, which is a false positive.
Answer:
Step-by-step explanation:
You have 52 cards in a deck and 13 cards of each suit.
The probability of picking a diamond in a complete deck of cards is:
Or the probability is 13 put of 52.
Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:
If we simplify it you will have a probability of:
