Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
Answer:
c
Step-by-step explanation:
first, find the area of the rectangle thing,
A = lw
14 x 8
112
but, there is a semicircle in it so you need to subtract that from it:
A = πr^2/2
A = π(4)^2/2
A = π16/2
A = 8π
A ≈ 25.132741228718346
then subtract that area from the area of the rectangle:
112 - 25.132741228718346
86.867258771281654
or about 89.9
Answer:
27/100
Step-by-step explanation:
27%= 0.27= 27/100 which cannot be reduced
Answer:
The number of eggs in the basket is 56
Step-by-step explanation:
Given as :
Let The number of eggs in the basket = 3x + 5x
When Loza counts 3's , there are 2 eggs left over
I.e , 3 ( x - 2 )
And When Loza counts 5's , there are 4 eggs left over
I.e 5 ( x - 4 )
∴ 3 x - 6 = 5 x - 20
Or, 20 - 6 = 5 x - 3 x
Or, 14 = 2 x
∴ x = 7
So, the number of eggs = 3 × 7 + 5 × 7
= 21 + 35 = 56
Hence The number of eggs in the basket is 56 Answer
