Answer:
Choice B
Step-by-step explanation:
When two shapes are similar their sides are always going to be proportional. So here we will set up a proportion to solve this.
Now we cross multiply
After we got an equation we solve it
Since we got a decimal we will have to round it to the place they instruct for us, on this one it is 9.8 cm so it is choice b.
Answer:
x=−2+3√2
Step-by-step explanation:
x2+4x+4−18=18−18
x2+4x−14=0
For this equation: a=1, b=4, c=-14
1x2+4x+−14=0
x=
−b±√b2−4ac
2a
x=
−(4)±√(4)2−4(1)(−14)
2(1)
x=
−4±√72
2
x=−2+3√2 or x=−2−3√2
Answer:
NOTES
Step-by-step explanation:
Answer:
a.4845ways.
b. 14535ways.
c. 3990ways
d. 1140ways
Step-by-step explanation:
Given data:
No of flavors available to customers = 20.
Solution:
This is permutation and combinations problem,
(a) how many ways can the customers choose 4 different ice creams if they are all of different flavors.
20C4
= n!/(n-k)!)k!
= 20!/(20-4)!)4!
= 20!/(16)!)4!
= 4845ways.
b) are not necessarily of different flavors
Let’s say any two same flavors can be chosen.
20C4 * 3!/2!
= 4845 * 3
= 14535ways.
c) contain only 2 or 3 flavors.
= 20C3 * 3!/2!
= 1140 * 3
= 3420
20C2 * 3
= 190 * 3
= 570.
No of 2 or 3 different flavors
= 3420 + 570
= 3990ways.
d) contain 3 different flavors.
20C3
= n!/(n-k)!)k!
= 20!/(20-3)!)3!
= 1140ways.
Answer:
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Step-by-step explanation:
