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jeka94
3 years ago
11

I don't understand this plz help

Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

option 4

Step-by-step explanation:

Solving the inequality

4.5 + 1.2x ≥ 10 - x ( add x to both sides )

4.5 + 2.2x ≥ 10 ( subtract 4.5 from both sides )

2.2x ≥ 5.5 ( divide both sides by 2.2 )

x ≥ 2.5

3, 4, 5, 6 are all greater than 2.5, thus

All values in the set make the inequality true

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Elden [556K]

Given:

x, y and z are integers.

To prove:

If 3x-y+5z is even, then at least one of x, y or z is even.

Solution:

We know that,

Product of two odd integers is always odd.          ...(i)

Difference of two odd integers is always even.          ...(ii)

Sum of an even integer and an odd integer is odd.      ...(iii)

Let as assume x, y and z all are odd, then 3x-y+5z is even.

3x is always odd.          [Using (i)]

5z is always odd.          [Using (i)]

3x-y is always even.       [Using (ii)]

(3x-y)+5z is always odd.       [Using (iii)]

3x-y+5z is always odd.

So, out assumption is incorrect.

Thus, at least one of x, y or z is even.

Hence proved.

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Answer:

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Step-by-step explanation:

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marin [14]

Answer:

Option (4)

Step-by-step explanation:

To calculate the volume of a pyramid we use the formula,

V = \frac{1}{3}(\text{Area of the base})(\text{Height of the pyramid})

Area of the square base = (Side)²

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Height of the pyramid 'h' = \sqrt{l^{2}-(\frac{\text{Side length of the base}}{2})^{2}} [By Pythagoras theorem]

h = \sqrt{5^{2}-3^{2}}

h = \sqrt{16}

h = 4 ft

Therefore, volume of the given pyramid = \frac{1}{3}(36)(4)

                                                                   = 48 cubic ft

Option (4). 48 ft³ will be the answer.

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