Answer: adults or pre teens
Step-by-step explanation:
The maximum length of the prism is highest length of the hexagonal prism
The maximum length of each prism is 8.0 cm
<h3>How to determine the maximum length of each prism?</h3>
The surface area of the hexagonal prism is calculated using:
A = 6al + 3
3 a^2
Where:
a represents the edge length; a = 4 cm
l represents the length (or height) of the prism
The surface area costs $0.04 per square centimeter.
So, we have:
C = 0.04 * [6al + 3
3 a^2]
The maximum cost is $11.
So, the equation becomes
11 = 0.04 * [6al + 3
3 a^2]
Substitute 4 for a
11 = 0.04 * [6 * 4l + 3
3 * 4^2]
Evaluate the products and exponents
11 = 0.04 * [24l + 48
3]
Divide both sides by 0.04
275 = 24l + 48
3
Subtract 48
3 from both sides
24l = 275 - 48
3
Evaluate the difference
24l = 191.9
Divide both sides by 24
l = 8.0
Hence, the maximum length of each prism is 8.0 cm
Read more about surface areas at:
brainly.com/question/6613758
The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
brainly.com/question/3457976
Answer:
So, when we solve for x we see that we can make 16 cookies using 1 cup of sugar. Then, yes, as you suggested we could divide 30 cookies by this ratio to see that we need less than 2 cups of sugar to make 30 cookies: And, as you said, this value is less than 2 cups, the value under Quantity B. Good job! I hope this helps :)
Step-by-step explanation:
As 1 yard is equal to 3 feet , so 4 yard will be 12 feet !
so 13 foot > 4 yards