Answer:
100
Step-by-step explanation:
We have the sum of first n terms of an AP,
Sn = n/2 [2a+(n−1)d]
Given,
36= 6/2 [2a+(6−1)d]
12=2a+5d ---------(1)
256= 16/2 [2a+(16−1)d]
32=2a+15d ---------(2)
Subtracting, (1) from (2)
32−12=2a+15d−(2a+5d)
20=10d ⟹d=2
Substituting for d in (1),
12=2a+5(2)=2(a+5)
6=a+5 ⟹a=1
∴ The sum of first 10 terms of an AP,
S10 = 10/2 [2(1)+(10−1)2]
S10 =5[2+18]
S10 =100
This is the sum of the first 10 terms.
Hope it will help.
Let y be the distance from the turtle to the base of the building.
tan (34) = 5/y
y = 5 ÷ cos(34)
y = 7.4m
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Answer: The distance is 7.4 meters (Answer A)
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Answer:
p(win)=0.00094
Step-by-step explanation:
-This is a factorial/combination question.
-The probability is calculated using the formula:

Where:
is the number of successful picks
is the total number of picks
Therefore, we calculate the probability as follows;

Hence, the probability of winning is 0.00094
The total fabric used for headband and wristband of a player was: 27.84 inches
Step-by-step explanation:
The question will be solved step by step.
So,
Total ribbon used for headbands = 883.68 inches
Total number of people for whom headbands were made = 46 players + 2 coaches = 48 inches
so the headband for one person will use fabric:
Then
Total fabric used for wristbands = 433.78 inches
Total players = 46

Total fabric for one player = 18.41 + 9.43 = 27.84 inches
Hence,
The total fabric used for headband and wristband of a player was: 27.84 inches
Keywords: Fractions, decimals
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