Answer:
The ratio of the areas of the smaller rectangle to the larger rectangle is
Step-by-step explanation:
we know that
if two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the smaller rectangle
y----> the area of the larger rectangle
so
substitute the values
simplify
That means, the area of the larger rectangle is 9 times the area of the smaller rectangle
------> the scale factor
That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle
Answer:
yes
Step-by-step explanation:
y < 2x +4
6 < 2·5 +4
6 < 14
Answer:
3,200
Step-by-step explanation:
3 is less than 5 so you round down to 3,200
Answer:
Step-by-step explanation:
The function that could model this periodic phenomenon will be of the form
The tide varies between 3ft and 9ft, which means its amplitude is
and its midline is
.
Furthermore, since at the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is .
The period of the full cycle is 14 hours, which means
giving us
With all of the values of the variables in place, the function modeling the situation now becomes
So u have to rearrange to find x again
You look at the equation and u can see that if u take away 14 from both sides it will leave u with:
X/-3<-2
Now as x is over - 3, the opposite of divide is multiply, so you multiply both sides by - 3.
This leaves you with your answer:
x<6
So the number line which represents this is C.