Answer:
B.) 191.1 cubic cm.
Step-by-step explanation:
First find the area of the rectangular prism. Because the formula is l * w * h, this becomes 
= 149.1.
For the volume of a pyramid, the equation is 
. We already know the height, and because it's sitting on top of the rectangular prism, the base should have the same area. In other words, if the prism has a base of 7*6, then the pyramid can be found through 
. 7 Multiplied by 6 is 42, and since it's multiplied but also divided by 3, they cancel out, leaving only 42.
The sum of both of these shapes is 191.1 cm³.
Answer: x = 5/49 ; 0.102041
Step-by-step explanation:
- Subtract 5x on both sides. 25 = 245x
- Divide by 245 on both sides. x = 5/49. As a decimal, it is approximately 0.102041.
<u>Scale - Convert to meters and reduced it to 1 cm:</u>
3 cm : 1000 cm | GIven
3 cm : 10m | Convert 1000cm to 10m
1 cm: 10/3 m | Find 1 cm
<u>Convert the dimensions to the actual:
</u>
7.5 cm = 7.5 x 10/3 = 25m | Convert 7.5cm on map to actual distance
15 cm = 15 x 10/3 = 50m | Convert 15m on map to actual distance²
<u>Find area of the actual pool:</u>
Area = 25 x 50 = 1250 m² | Use the formula Area = Length x Width
Answer: 1250 m²
Answer:
55.43cm^2
Step-by-step explanation:
Area of a hexagon given the apothem = 1/2 x perimeter x apothem
apothem = 4cm
To find the perimeter, take the following steps
4 = x√3
x = 4/√3
Multiply by 2
8√3
Since a hexagon has 6 equal sides, multiply by 6
Perimeter = 48√3
Area = (1/2) x 48√3 x 4 = 55.43cm^2
Answer:
450 = 2•3^2•5^2 104 = 2^3•13
Step-by-step explanation:
factor tree of 450:
450 <u><em>The prime factors of 450 are 2, 3 and 5.</em></u>
/\
45 10
/\ /\
5 9 5 2
/\
3 3
factor tree of 104:
104
/\ <u><em> The prime factors of 104 are 2 and 13.</em></u>
2 52
/\
2 26
/\
2 13
