area of a circle is PI x r^2
2 = d/2 = 5.4/2 = 2.7 cm
using 3.14 for PI
3.14 x 2.7^2 = 22.89 square inches
360 degree in a circle, shaded area is 180 degree, which is 50%
so 22.89 x .5 = 11.45 cm^2
If you follow is rule : P(x,y)>180° rotation>P'(-x,-y). the negative signs doesn't mean to make it negative but to change it to the opposite sign. If it's positive it goes to negative. And if it's negative is goes to positive. The rotated image would have the points: (1,2) (4,4) (3,7)
Answer:
Step-Opens up with a vertex at (4,-1)by-step explanation:
Answer:
44 cm
Step-by-step explanation:
The circumference (C) of a circle is calculated using the formula
C = 2πr ← where r is the radius
here r = 7, hence
C = 2 ×π × 7 = 14π ≈ 44 cm ( to nearest whole number )
Answer:
y = 10
Step-by-step explanation:
based on the question if y varries directly as x
mathematically
y ∝ x
also, y varries inversly as z can be mathematically expressed as
y ∝ 1/z
combining the two expressions
y ∝ x ∝ 1/z
i. e
y = kx/z..... where k is the constant of proportionality
make k the subject of formulae
yz = kx
Divide both sides by x
k =yz/x
when y=100 , x = 5 z =10
k = 100 × 10/5
k = 200
to find y when x = 3 and z = 60
<h3>from the equation connecting x,y,z</h3>
k =yz/x
200 =60y/3
cross multiply
60y = 200 × 3
60y = 600
divide both sides by 60
y = 10
