Answer: The angle through which the pendulum travels = .
Step-by-step explanation:
Formula: Length of arc: , where r= radius ( in radians) , = central angle.
Given: Length of pendulum (radius) = 45 cm
Length of arc= 27.5 cm
Put these values in the formula, we get
In degrees ,
Hence, the angle through which the pendulum travels = .
the 3- gallon jug on juice for $15.36 because its cheaper
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Answer:
374.4
Step-by-step explanation:
All items related to the maintenance are 20% more expensive, it means that each datum is 20% bigger including the average.
The variance its a dispersion measurof the data and its calculated of this way:
Here n is the number of data, is the average and represent each datum. The increment in 20% in each parameter can be represented multiplying for 1.2, of this way
Factorizing the 1.2 we have:
That is:
The new variance is
Answer:
Step-by-step explanation:
Given: The total number of ways of to choose 3 contestants out of 7 (including me and my friend)=35..................> Total outcomes.
Favorable outcomes = 2
Then the probability that me and my friend are both chosen =
Thus , the probability that me and my friend are both chosen =
Answer:
Step-by-step explanation:
61)4 + 5(p-1) = 34 {Distributive property}
4 + 5p - 5 = 34 {Add like terms}
5p - 1 = 34 {Add 1 to both sides}
5p = 34+1
5p = 35 {Divide both sides by 5)
p = 35/5
p = 5
62) Smaller angle = x
Larger angle = x +50
x + (x +50) = 180 {Supplementary angles}
2x + 50 = 180 {Subtract 50 from both sides}
2x = 180 -50
2x = 130
x = 130/2
x = 65
Smaller angle = 65
Larger angle = 65 + 50 = 115
63) ΔBAD , ΔBCD
BA ≅ BC
∠A ≅ ∠C
AD ≅ CD
ΔBAD ≅ΔBCD {S A S congruent}
64) Selling price = ₹ 5500
Profit = 10%