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Rudik [331]
2 years ago
8

Can so.eone explain to me by what bisecting intervals are?​

Mathematics
1 answer:
Tasya [4]2 years ago
7 0

When you bisect something, you cut it into two equally sized pieces. (from Latin: "bi" = two, "sect" = cut)

Bisecting an interval creates two smaller intervals each with half the length of the original interval. Some examples:

• bisecting [0, 2] gives the intervals [0, 1] and [1, 2]

• bisecting [-1, 1] gives the intervals [-1, 0] and [0, 1]

• bisecting an arbitrary interval [a,b] gives the intervals \left[a,\frac{a+b}2\right] and \left[\frac{a+b}2,b\right]

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Find the area of the shape 9x2+5x4​
kolbaska11 [484]

Step-by-step explanation:

9x2+5x4

= 18 + 20

= 38

the answer is 38

8 0
2 years ago
The figure below shows a right rectangular prism whose base is a square.
xxTIMURxx [149]

Answer:

The intersection of the horizontal plane with the prism would have a square shape.

Step-by-step explanation:

A right rectangular prism is one in which each side makes an angle of 90^{0} with its base, which is a square. It is a three dimensional figure with six faces.

The point where the horizontal plane and the prism coincides would take the shape of the base of the prism. This is because the prism rests with its base on the horizontal plane. Thus, the shape required is in the form of a square since its base is a square. The length and width of its base are equal.

4 0
3 years ago
Read 2 more answers
Find the number of ways of arranging the numbers
Doss [256]

First of all, note that all integers are either 0,1, or 2 modulo 3 (if you're not familiar with this terminology, it means that every integer is either a multiple of 3, or it is 1 or 2 away from a multiple of 3).

So, we can think of our numbers as

\begin{array}{c|c}x&x\mod 3\\0&0\\1&1\\2&2\\3&0\\4&1\\5&2\\6&0\\7&1\\8&2\\9&0\end{array}

In order to make sure that the sum of any three adjacent numbers is divisible by 3, we have to make sure that any group of 3 three adjacent numbers contains a 0, a 1 and a 2. This is possible only if we arrange our 9 numbers in 3 groups of 3 numbers containing 0,1 and 2 exactly once, repeating always the same pattern.

For example, we could arrange our numbers following the pattern

0,1,2,0,1,2,0,1,2

or

2,0,1,2,0,1,2,0,1

We have 3!=6 possible patterns. Suppose for example that we choose the pattern

0,1,2,0,1,2,0,1,2

One possible way of following this pattern would be the arrangement

3,1,2,6,4,5,9,7,8

In fact, we substituted every '0' with a multiple of 3 (3, 6 or 9), every '1' with a number 1 away from a multiple of 3 (1, 4 or 7) and every '2' with a number 2 away from a multiple of 3 (2, 5 or 8).

This means that, once we fix a patter, we have 3 choices for the first 3 slots, 2 choices for the next 3 slots, and the final slot will be fixed. So, we have

3\cdot 3\cdot 3\cdot 2 \cdot 2 \cdot 2 = 216

possible ways of following a fixed pattern. Since the number of patterns was 6, we have

216\cdot 6 = 1296

possible arrangements.

7 0
3 years ago
Read 2 more answers
Match the terms below to their definition. Circumcenter
Natasha_Volkova [10]

Answer:

passes through all verrtices of a polygon

Step-by-step explanation:

4 0
3 years ago
A right circular cylinder has a base area of 110 square inches and a volume of 1650 cable loches. What is the height, in inches,
denpristay [2]

Answer:

height = 15 inches

Step-by-step explanation:

the volume (V) of a cylinder is calculated as

V = Ah ( A is the base area and h the height )

given V = 1650 and A = 110 , then

1650 = 110h ( divide both sides by 110 )

15 = h

3 0
2 years ago
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