Answer:
a=8.2
Step-by-step explanation:
Answer:
The square cake is larger by 31 in^2
Step-by-step explanation:
A round cake has a circular area on top.
We need to find the radius
d= 2r
8 = 2r
r=4
The area of the circle is pi r^2
A = 3.14 * 4^2
A = 3.14 *16
= 50.24
The area of the square cake is
A =s^2
A = 9^2
A = 81
The square cake is larger
The difference is Asquare - A round
81 -50.24
30.76
Which is close to 31 in ^2
When the dilation is centered on the origin, you can multiply each of the individual coordinates by the scale factor.
All the coordinates are ±5 and the scale factor is 1/5. Multiplying those gives ±1. The only selection with all coordinates being ±1 is
.. Selection A.
You can check to see if the signs agree in detail. (They do.)
Answer:
8 x 4
Step-by-step explanation:
Lets say the length is x and the width is y.
xy = 32
2x + 2y = 24
Rearranging the second equation, we get:
2x = 24 - 2y
/2 /2
x = 12 - y
substitute into the first equation
y(12 - y) = 32
12y - y^2 = 32
-32 -32
-y^2 +12y - 32 = 0
x -1 x -1
y^2 - 12y + 32 = 0
(y - 8)(y - 4) = 0
y = 8 or 4
substitute into x = 12 - y.
x = 12 - 8 = 4
x = 12 -4 = 8
so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.
Hope I helped!
