Answer:
k = 5
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 20 when x = 4, then
20 = 4k ( divide both sides by 4 )
5 = k
Answer:
8 Ohms Resistance
Step-by-step explanation:
Let the Resistance is represented by f(x) and The current in x. hence we are given that
Using constant of proportionality k we can say that
where k is always constant for all values of x and f(x)
now we are given that for x = 12, we have f(x) = 210
This will help us to determine k , once we have the value of k , we can determine the f(x) for x = 15
Hence Now we have
putting them into
Hence we now know the value of k as 120
Now we find f(x) at x=15
Hence this is our answer 8 Ohms of Resistance will be used.
Answer:
The area of each section of the circle is 25\pi\ m^{2}25π m2
Step-by-step explanation:
we know that
The area of a circle is equal to
A=\pi r^{2}A=πr2
we have
r=10\ mr=10 m
substitute
A=\pi (10^{2})=100\pi\ m^{2}A=π(102)=100π m2
To find the area of each section divide the complete area of the circle by 44
so
100\pi\ m^{2}/4=25\pi\ m^{2}100π m2/4=25π m2
Answer:
1,800, 19
Step-by-step explanation:
102,619÷57=1800 (nearest one)
102,619-1800×57=19
<span>49x^2+28x+4
= (7x + 2)^2
= (7x + 2)(7x + 2)</span>