Answer:
The volume of the larger rectangular prism is
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x-----> the volume of the larger rectangular prism
y-----> the volume of the smaller rectangular prism
In this problem we have
---> the scale factor is equal to the ratio of its corresponding sides
substitute and solve for x
We can see that, when the input is 5, the output is 24.
<h3>How to evaluate an equation?</h3>
Here we have the equation:
Where y is the output and x is the input.
We want to evaluate it with the input as 5, so we need to replace the variable x by the number 5, we will get:
Then we can see that, when the input is 5, the output is 24.
If you want to learn more about evaluating functions:
#SPJ1
Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5