Answer:
30%
Step-by-step explanation:
What is the percent decrease if the original price is $582 and it went down 30%
or decreased 30%
Check:
582 x 0.70 = 407.4
582-407.4=174.6
174.6/582= 0.3
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
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Based on the given data, the following formula will be useful;
Area of the base, A = pi*r^2
Lateral Area, A(l) = pi*r*sqrt of h^2 + r^2
Surface Area, A(s) = pi*r*(r+sqrt of h^2 + r^2)
Based on the given area of the base, the radius can be calculated and is equal to 3.9088 in. Based on the given lateral area, the h or the lateral edge can be calculated and is equal to 7.8785 in. Given all the information needed, and directly substituting to the above formula for surface area, SA is equal to 156 in^2 (option D)
Rotatation could be done to left or right.
110 + 60 = 170 degrees => Rotation to the right side.
110 - 60 = 50 degrees= > Rotation to the left side.
We can see in the choices that 170 degrees is the right choice.
The answer is D.
Step-by-step explanation:
1. 57 degrees
2. B
3. 117 degrees
4. C
