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valentina_108
1 month ago
6

The line segments of a cube include edges, the diagonals of the faces, and the diagonals through the interior of the cube. Which

is the longest? Which is the shortest? Explain.
Mathematics
2 answers:
lawyer [12.5K]1 month ago
0 0
The diagonal that crosses the interior of the cube is the longest segment. The hypotenuse corresponds to the longest side in a right triangle. In this case, the cube's diagonal serves as the hypotenuse of a right triangle, with the legs being the diagonal of one of its faces and one of its edges. The edges are the shortest sections and function as the legs of a right triangle where the face's diagonal acts as the hypotenuse.
Inessa [12.5K]1 month ago
0 0
The diagonal that runs through the cube's interior is the longest line. The hypotenuse represents the longest side of a right triangle. In this configuration, the cube's diagonal is the hypotenuse for a right triangle formed by one diagonal from a face and an edge. The edges represent the shortest segments, acting as the legs in this scenario with the face's diagonal serving as the hypotenuse. To explain step-by-step: it's a model answer.
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Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is not even
babunello [11817]
Given that the sequence goes odd, even, odd, and even , there is an equal chance of drawing an odd (<span>not divisible by 2) number as there is for drawing an even number, so the correct option is C.

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1 month ago
Read 2 more answers
Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x?
Zina [12379]

To determine an equivalent for RootIndex 3 StartRoot 8 EndRoot Superscript x, we can proceed with =2^x

Detailed Explanation:

We aim to express RootIndex 3 StartRoot 8 EndRoot Superscript x in a different form.

In mathematical terms:

(\sqrt[3]{8})^x

To solve:

Notably, 8 can be broken down into 2 multiplied by itself three times = 2^3

and \sqrt[3]{x}=x^{\frac{1}{3}}

Using these principles:

=((2^3)^{\frac{1}{3}})^x

=(2^{\frac{3}{3}})^x\\

=2^x

Thus, as we find a solution to RootIndex 3 StartRoot 8 EndRoot Superscript x, it results in =2^x

Terms: Radical Expression

Explore more about Radical Expression at:

8 0
2 months ago
I JUST NEED THESE 3 QUESTIONS
AnnZ [12381]

Answer:  

 

1.     What are the amplitude and period of the sine function that indicates the positioning of the band members as they start performing?

Answer:  The amplitude is 80 ft and the period is 60 ft.

 

2.     Edna, seated in the stands, faces Darla and notices that the sine curve starts rising from the left edge of the field. What is the equation for the sine function representing the arrangement of band members at the beginning of their performance?

Answer:  y = 80cos(x*π/30)+80

 

3.     When the band starts playing, the members move away from the edges, and the sine curve changes to start decreasing at the far left. Darla remains in her position. Now the sine curve is half as tall as it originally was. What is the equation for the updated sine curve depicting the band members' positions?

Answer: y = 40cos(x*π/30)+80

 

4.     Finally, the entire band shifts closer to the edge of the football field, causing the sine curve to now position itself in the lower half of the field from Edna’s perspective. What is the equation for this sine curve reflecting the band members' positions after these adjustments?

Answer:  y = 40cos(x*π/30)+40

Step-by-step explanation:

8 0
2 months ago
Describe in words the surface whose equation is given. (assume that r is not negative.) θ = π/4
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An equation of the form \theta=\dfrac{\pi}{4} describes a line
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