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3 years ago

Could 10.6 cm and 5.6 and 4.0 cm be the side length of a triangle

1 answer:

8 0

No, because the sum of any of the sides must be greater than all sides. 5.6 +4.0=9.6 which is less than 10.6, meaning that it is impossible to create a triangle with those lengths.

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Rewrite in simplest radical form 1/x^−3/6 Show each step of your process please!

Romashka [77]

$\frac{1}{a^{-b} } =a^b \\c^{ \frac{a}{b} }= \sqrt[b]{c^a} \\ \\ \frac{1}{x^{- \frac{3}{6} }}=\frac{1}{x^{- \frac{1}{2} }} =x^ \frac{1}{2} = \sqrt[2]{x^1} = \sqrt{x}$

8 0

3 years ago

Given the regular polygon, what is the measure of each numbered angle?

ANEK [815]

Answer:

Answer A

Step-by-step explanation:

Approach 1

B, C, and D are wrong because angles 1 and 2 are congruent.

Therefore your answer of both being 60°

Approach 2

Let x = angle 1.

360/x = 6

x = 60°.

Therefore Angle 1 is 60°

An interior angle of a hexagon is 120°

Let y = angle 2.

y is half of 120°

So 120/y = 2

y = 60°

4 0

2 years ago

This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was tha

Pie

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = 83.9≅ 84 percentage

Step-by-step explanation:

Step(i):-

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

Let X = 6.8

$Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3$

Let X = 8.8

$Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1$

The probability that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = P(-3≤Z≤1)

= P(Z≤1)- P(Z≤-3)

= 0.5 + A(1) - ( 0.5 -A(-3))

= A(1) + A(3) (∵A(-3)=A(3)

= 0.3413 +0.4986 (∵ From Normal table)

= 0.8399

Conclusion:-

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = 83.9≅ 84 percentage

4 0

3 years ago

Which of the following has a value of 84? A. 512 B. 4,096 C. 32 D. 83

andreev551 [17]

Answer is B. 4,096

I encountered this problem before. This is a trick question.
84 is not really the number 84. It is 8 raised to the 4th power.

So 8⁴ is equal to 4,096.

8 x 8 x 8 x 8 = 4,096

8 x 8 = 64
64 x 8 = 512
512 x 8 = 4,096

6 0

3 years ago

If cara had a candle that Burned 3cm every hour how y’all would it need to be to also reach 6cm tall after 4 hours

Mrrafil [7]

It had to be 18 cm tall

4 0

3 years ago