Answer:
2^12
Step-by-step explanation:
16^3 can be rewritten as (2^4)^3 which can then be rewritten as 2^12 by multiplying the exponents
- The volume of a medium box is 512 cubic inches.
- The ratio of the sides of the small box to the medium box is 1:2.
- The ratio of the area of the small box to the medium box is 1:4.
- The ratio of the volume of the small box to the medium box is 1:8.
<h3>What are the ratio of the small box to the medium box?</h3>
The first step is to determine the side lengths of the small box.
Side length = ∛64 = 4 in
Side lengths of the medium boxes = 4 x 2 = 8 inches
Volume of the medium box = 8³ = 256 cubic inches
The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.
The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) = 1:4.
The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.
To learn more about the volume of a cuboid, please check: brainly.com/question/26406747
To find differences in the angles of the intersections we must know how many degrees each angle corresponds to. We must also take into account that the sum of the internal angles must equal 180°.
<h3>What is a triangle?</h3>
A triangle is a polygon that is characterized by having three sides, three vertices, and three angles. An indispensable rule of the interior angles of the triangles is that they must add up to 180º.
Triangles are classified according to their characteristics as shown below:
- Equilateral triangle: It is a type of triangle that is characterized by having all equal sides. Consequently, all the angles of an equilateral triangle are 60º. The equilateral triangle is a regular polygon.
- Isosceles triangle: It is a type of triangle that is characterized by having two equal sides and one different. Consequently, it also has two equal angles.
- Scalene triangle: A scalene triangle is one that is characterized by having all its sides and angles unequal, that is, different from each other.
According to the above, depending on the measurements of the length of the sides and the angles of a triangle, its characteristics and classification change.
Note: This question is incomplete because the image is missing. However I can answer it based on my general prior knowledge.
Learn more about triangles in: brainly.com/question/2773823
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Answer: perm will cost $48
Step-by-step explanation:
Let x be cost of haircut
So perm will cost her 2x
So
x + 2x + 5 = 77
3x = 72
x = 24
Perm will cost 2x24 = 48