Jacques and Faye are investigating relationships between two similar rectangles. Jacques finds that the first rectangle has a length of 12 units and a width of 6 units. Faye finds that the second rectangle has a length of 4 units and a width of 2 units. What is the ratio of the area of the large rectangle to the area of the small rectangle, and how is this ratio related to the scale factor of the dilation?

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734

option (a)

step-by-step explanation:

step 1:   take 2 number whose product equal to 25..

and sum of those two number are -10

step: 2 for example here if we take 5,5 are the number,,

5*5=25

and

5+5=10

but we need -10

so if we take   -5,-5

so -5*-5=25

and -5+(-5)=-10

s0

come the equation

replace -10x by these number

like -5x -5x+25

take common

x(x-5)-5(x-5)=0

(x-5)(x-5)=0

w represents the number of water bottles.