Answer:
22.3 km²
Step-by-step explanation:
The formula for the area of a circle is
A = πr²
r = ½d, so
A = π(½d)² = ¼πd²
A = ¼ × π × (16/3)² = ¼ × π × 256/9 ≈ 22.3 km²
Answer:
dilation has on a figure when the scale factor is greater than zero but less than one
Step-by-step explanation:
Answer:
<u><em>4 : </em></u> Coordinate of Q = ![(\frac{1}{5} ,\frac{-12}{5} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7D%20%2C%5Cfrac%7B-12%7D%7B5%7D%20%29)
<em><u>5 : </u></em> Coordinate of point A = (-2,-2)
Explanation :
4) Given the points M(-3, -4) and T(5,0)
x₁= -3, y₁ = -4 and
x₂ = 5, y₂ = 0
m = 2, n = 1
Now apply the section formula,
{(mx₂+nx₁)/(m+n) , (my₂+ny₁)/(m+n)}
Coordinate of point Q = ![(\frac{1}{5} ,\frac{-12}{5} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7D%20%2C%5Cfrac%7B-12%7D%7B5%7D%20%29)
5) AB:BC = 3:4
A = (x,y), end point
B = (4, 1)
C = (12, 5) end point
So, m = 3 & n = 4
x₁ = x , y₁ = y , x₂=12 & y₂ = 5
Apply section formula we get
4 = (36+4x)/7 & 1 = (15 + 4y)/7
28= 36 + 4x 7 = 4y + 15
4x =-8 4y =-8
x = -2 y = -2
Answer:
The constant of variation is 5.
Step-by-step explanation:
In direct variation, as y varies directly with x, the standard equation is
y = kx,
where k is the constant of variation.
In your case, we use R and S. R varies directly with S, so we have
R = kS
We know that when S = 16, R is 80, so we plug in those values and solve for k, the constant of variation.
R = kS
80 = k(16)
k = 80/16
k = 5