Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
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Answer:
we know that, Volume of cube=a³
Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)
Step-by-step explanation:
ATQ: 2x=a³ and, x=A³
a=³√2x and, A=x
we know that, surface area of cube is 6a²
Thus, surface area of 1st cube = 6(³√2x)²
= 6³√4x²
Surface area of 2nd cube=6(x)²=6x²
Ratio of S.A=(6³√4x²)÷(6x²)
Ratio of S.A=³√4:1
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P = 2(L + W)
P = 68.4
L = 4W + 9.7
68.4 = 2(4W + 9.7 + W)
68.4 = 2(5W + 9.7)
68.4 = 10W + 19.4
68.4 - 19.4 = 10W
49 = 10W
49/10 = W
4.9 = W <==== the width is 4.9 cm
L = 4W + 9.7
L = 4(4.9) + 9.7
L = 19.6 + 9.7
L = 29.3 <=== the length is 29.3 cm
Answer:
Rider A:
EQUATION: Distance (km) = 60 km/h Time (h)
In 15hs he will go 60x15 = 900km far
Rider B:
EQUATION: Distance (km) = 24 km/h Time (h)
In 15hs he will go 24x15 = 360km far
Step-by-step explanation:
Rider A:
Distance (km) = S Time (h)
One point is (time, distance) = (2hs, 60 km)
so:
60 = S 2 => S = 30 km/h
Rider B:
72/3 = 24
120/5 = 24
192/8 = 24
it means he rides at a constant speed of 24 km/h
