A cube is a three-dimensional solid object having six square faces. The measure of the length of the diagonal of the face of the cube is 12.2 cm.
<h3>What is a cube?</h3>
A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron.
Given the length of an edge of the cube is √75 cm, therefore, the length of the diagonal of the face of the cube will be √2 times the length of an edge of the cube. Thus, the measure of the length of the diagonal of the face of the cube is,
Length of the diagonal of the face = √2 × √75 = 12.2 cm
Hence, the measure of the length of the diagonal of the face of the cube is 12.2 cm.
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See56.7 cause it is the correct one to the 20th
Answer:
x=3
Step-by-step explanation:
cross multiply
5(x+3)=3(x+7)
5x+15=3x+21
5x+15-3x=3x+21-3x
2x+15=21
2x+15-15=21-15
2x=6
x=3
37x + 45y = 7940
75x + 45y = 10,410
Since 45y is in both equations we can more easily transfer from first equation to 2nd equation.
In the first equation, subtract 37x from each side and you have 45y = 7940 - 37x. Replace the 45y in the second equation with (7940 - 37x).
Now you have 75x + (7940 - 37x) = 10,410
Simplify by combining 75x - 37x and you have 38x + 7940 = 10,410
Subtract 7940 from both sides and you have 38x = 2470.
Divide both sides by 38 and you have x = 65
To solve for y, take you first equation (or even the second one) and substitute c for 65.
(37 x 65) + 45y = 7940
2405 + 45y = 7940
Subtract 2405 from each side.
45y = 5535
Divide each side by 45 and you have y = 123
Regular tickets = $65
VIP tickets = $123