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Furkat [3]
4 years ago
9

Question 4 of 10

Mathematics
1 answer:
ludmilkaskok [199]4 years ago
5 0

Answer:

Option C. 3√3

Step-by-step explanation:

Please see attached photo for brief explanation.

In the attached photo, we obtained the following:

Opposite = a

Adjacent = 3

Hypothenus = 6

Angle θ = 60°

We can obtain the value of 'a' as follow:

Tan θ = Opposite /Adjacent

Tan 60° = a/3

Cross multiply

a = 3 x Tan 60°

But: Tan 60° = √3

a = 3 x Tan 60°

a = 3 x √3

a = 3√3

Therefore, the length of the altitude of the equilateral triangle is 3√3.

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The smallest integer that can be added to -2m3 − m + m2 + 1 to make it completely divisible by m + 1 is .
Iteru [2.4K]

Answer:

(-5) is smallest integer to be added.

Step-by-step explanation:

In the given expression we have to identify the smallest integer to be adeed so that it is divisible by (m+1).

If we divide the expression then we get quotient (-2m²+3m-4) and the remainder is +5.

Therefore we can say that if we subtract 5 from the given expression it will be divisible by (m+1).

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5 0
3 years ago
Please help me out please
AleksAgata [21]

Answer:

x = -0.8

<CAD = -8

Step-by-step explanation:

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10x = -8 (Divide each side by 10)

x = -0.8

<CAD = 5x - 4

<CAD = 5(-0.8) - 4

<CAD = -4 - 4

<CAD = -8

3 0
3 years ago
Determine the point estimate of the population mean and margin of error for the confidence interval with lower bound 7 and upper
djverab [1.8K]

Answer:

Point estimate is 16 and Margin of error is 9

Step-by-step explanation:

The point estimate is given by the following formula:

Point estimate = (Lower Bound + Upper Bound) / 2

Replacing we have:

Point estimate = (7 + 25) / 2 = 32/2

Point estimate = 16

Now, the margin of error is given by the following equation:

Margin of error = (Upper Bound - Lower Bound) / 2

Margin of error = (25 -7) / 2 = 18/2

Margin of error = 9

6 0
3 years ago
A transformation is applied to a figure to create a new figure. Which transformation does not preserve congurence?
arsen [322]

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Step-by-step explanation:

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Answer:

d

Step-by-step explanation:

answer is d It can't be anything else

4 0
3 years ago
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