Answer:
58 degrees
Step-by-step explanation:
If figures are similar to each other, it means that they have the same measures. Therefore, D has the same measure as G, E has the same measure as H, and F has the same measure as I.
The first number is 27 and the second number is 45 so the ratio would be 27;45
You need to write down the full question
Answer:
![h=12ft](https://tex.z-dn.net/?f=h%3D12ft)
Step-by-step explanation:
The formula one would use for finding the volume of a rectangular prism is as follows:
- Volume = length × width × height ,
![V=l*w*h](https://tex.z-dn.net/?f=V%3Dl%2Aw%2Ah)
With this in mind, let's plug in the given variables in the question for this formula.
![V=648ft^3](https://tex.z-dn.net/?f=V%3D648ft%5E3)
![l=6ft](https://tex.z-dn.net/?f=l%3D6ft)
![w=9ft](https://tex.z-dn.net/?f=w%3D9ft)
?
- We don't know the height, but that's just fine. We will plug in all our values and isolate
.
![V=lwh\\648ft^3=(6ft)(9ft)h](https://tex.z-dn.net/?f=V%3Dlwh%5C%5C648ft%5E3%3D%286ft%29%289ft%29h)
- I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.
![648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}](https://tex.z-dn.net/?f=648ft%5E3%3D%286ft%29%289ft%29h%5C%5C648ft%5E3%3D%2854ft%5E2%29h%5C%5C%5Cfrac%7B648ft%5E3%7D%7B54ft%5E2%7D%3D%5Cfrac%7B%2854ft%5E2%29h%7D%7B54ft%5E2%7D)
- Notice, that the units on the left side cancel out, leaving only the unit
left next to the solution. In the same way, the units on the right side cancel out too, leaving only
, height.
![\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h](https://tex.z-dn.net/?f=%5Cfrac%7B648ft%5E3%7D%7B54ft%5E2%7D%3D%5Cfrac%7B%2854ft%5E2%29h%7D%7B54ft%5E2%7D%5C%5C12ft%3Dh)
If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.
![V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h](https://tex.z-dn.net/?f=V%3Dlwh%5C%5C648%3D%286%29%289%29h%5C%5C648%3D54h%5C%5C%5Cfrac%7B648%7D%7B54%7D%3D%5Cfrac%7B54h%7D%7B54%7D%5C%5C12ft%3Dh)
12 feet is the answer. 4 times 3 is 12.