Answer:
Step-by-step explanation:
The missing length is 13 because,
Lets say the top triangle is A and the bottom triangle is B.
Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.
Answer: 13
For this case we have that by definition, the volume of a rectangular prism is given by:
Where:
It is the area of the base
h: It is the height
So:
The volume of the prism is:
Now, the volume of the cubes is:
Thus, we divide and find the number of cubes to fill the prism:
ANswer:
n = 2.5
The volume of the large cylinder will be twice the volume of the small cylinder.
<u>Step-by-step explanation:</u>
Let the radius of the cylinder be 'r'
Let the height of the cylinder be'h'
Volume of the small cylinder=π r² h
Volume of the large cylinder= π r² (2h)
Volume of large cylinder/volume of small cylinder= 2/1
The large cylinder volume is twice the volume of the small cylinder.
4πrsquare= 2πrsquare+2πrh
2πrsquare=2πrh
R=h
So h=16/2=8mm
Answer:
Radius: 7
Diameter: 14
Area Formula: π r^2
Area Answer: 154 ft^2
Step-by-step explanation:
Radius: 14/2 = 7
The radius is always half the diameter.
Area Work
A = π(7)^2
A = π(49)
A = 153.9380 ft^2
