X equaks 105 becaus complementary= 180.
180-63=12+x
117-12=x
105=x
x=12 and y=18 satisfies both the equalities.
Step-by-step explanation:
Given equations are;
x/y = 2/3 Eqn 1
y/24 = 3/4 Eqn 2
Multplying by 24 on both sides of Eqn 2
Putting y=18 in Eqn 1;
Multiplying both sides by 18
Putting both values in Eqn 1
As 12 and 18 are multiples of 6;
x=12 and y=18 satisfies both the equalities.
Keywords: fraction, division
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Π=3.14
Let's start with two digits:
3.14 = 3 14/100
= 3 7/50
= 157/50
would be the approximation for that. Let's add a few more digits:
3.1415 = 3 1415/10000
= 3 283/2000
= 6283/2000
Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
These are really easy and it’s worth the points
