Answer:
Step-by-step explanation:
a1 = 6
a2 = 10
a3 = 14
The next member of the sequence is 4 more than the current sequence. Therefore d = 4
a1 = 6
d = 4
n = 13
an = a1 + (n - 1)*d
an = 6 + (n - 1)*4
a_13 = 6 + 12*4
a_13 = 6 + 48
a_13 = 54
The number of ways people can get off the elevator is 604800 ways.
In this question,
Number of people, n = 7
Number of floors, r = 10
The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.
Number of ways people can get off the elevator can be calculated as
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 604800 ways.
Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.
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Answer:
0.3
Step-by-step explanation:
0.8/y = 2 : 3/4
The value of y in the above expression can be obtained as follow:
0.8/y = 2 : 3/4
0.8/y = 2 ÷ 3/4
0.8/y = 2 × 4/3
0.8/y = 8/3
Cross multiply
0.8 × 3 = y × 8
2.4 = 8y
Divide both side by the coefficient of y i.e 8
y = 2.4/8
y = 0.3
Thus, the value of y is 0.3
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Definition of equilateral.
Definition of equilateral.
Substitution
Angle Addition
Angle Addition
Substitution
Substitution
Definition of equilateral
Definition of equilateral
Side-Angle-Side Congruence*
CPCTC
* SAS Congruence:
PA = BA
∠PAC = ∠QAB
AC = AQ
You can draw a picture of the fence, as a line, and label every centimeter pretending it is a foot, and then draw bushes under the line spread out by 1.5 centimeters. you can then count how many bushes you can put along the fence. you may need a ruler to do this. hope this helps