The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
<h3>How to determine the volume </h3>
Using the formula:
Volume = 3abh
Where a = apothem length
b = length of the side of the base
h =height of the prism
Substitute values from the diagram into the formula
Volume = 3 × 5 × 4.3 × 2
Volume = 129 in^3
Volume of the remaining cake
Volume = 3abh
Volume = 3× 5.2 × 4 × 6
Volume = 374. 4 in^3
Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
Learn about volume of a hexagonal prism here:
brainly.com/question/9647193
#SPJ1
Answer: x = 9, 5
<u>Step-by-step explanation:</u>
4 | x - 7 | + 2 | x - 7 | = 12
6 | x - 7 | = 12 <em>added like terms</em>
| x - 7 | = 2 <em>divided both sides by 6</em>
x - 7 = 2 or x - 7 = -2 <em>removed absolute value sign</em>
x = 9 or x = 5 <em>added 7 to both sides of both equations</em>
Answer:
95°
Step-by-step explanation:
Angle 1 and 4 are opposite angles, thus equal, so:
3x+10 = 4x-15 =>
x = 25
Angle 1 and 4 are 85°
Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.
Angle 6 and 7 are again opposite, so angle 7 is 95° as well!
Answer:
8 lemonade and 24 iced tea
Step-by-step explanation:
1/2=0.5
0.5x16=8 lemonade
1 1/2=3/2=1.5
1.5x16=24 iced tea
Answer:
28
Step-by-step explanation:
2x-3y+z=-3 , x-5y+7z=-11 , -10x+4y-6z=28
