Answer:
-2
Step-by-step explanation:
You should use the formula Y2-Y1/X2-X1.
2-4/7-6
Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10
Total friends = 10
Friends from kindergarten = 4
Probability is the chance that a given event will occur. Probability of an event lies within 0 to 1
P(E) = Favourable outcomes / Total outcomes
Probability of getting 1st friend from kindergarten = 4/10
Probability of getting 2nd friend from kindergarten = 3/9
Probability of getting 3rd friend not from kindergarten = 6/8
Since all these probabilities are independent, We can use Multiplicative identity. Thus,
Required probability is 4/10 * 3/9 * 6/8
= 1/10
Thus, Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10
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Answer: OPTION D
Step-by-step explanation:
The formula for calculate the surface area of a rectangular prism is:
Where w is the width, h is the height and l is the length.
You can see in the figure attached that:
l=3.4ft
w=3ft
h=4.1ft
Therefore, when you substitute these values into the formula you obtain that the surface area is:
![SA_{rp}=2[(3ft*4.1ft)+(3.4ft*3ft)+(3.4ft*4.1ft)]=72.88ft^{2}](https://tex.z-dn.net/?f=SA_%7Brp%7D%3D2%5B%283ft%2A4.1ft%29%2B%283.4ft%2A3ft%29%2B%283.4ft%2A4.1ft%29%5D%3D72.88ft%5E%7B2%7D)
Part A
Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis
Part B
Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°
Part C
Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:
- First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
- First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points
Part D
Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.
Answer:
8. 8.80
9. 90
Step-by-step explanation:
Question 8: Use the Pythagorean formula
DE² = DF²+EF²
EF² = DE² - DF²
= 16.2² - 13.6²
= 77.48
EF = √77.48 = 8.80 (Answer)
Question 9: Use the Cosine Rule
GI² = GH² +HI² - 2·GH·HI·Cos ∠GHI
= 60² + 42² - 2·60·42·Cos 123
= 3600 +1764 - (-2744.98)
= 8108.98
GI = √8108.98 = 90
