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love history [14]
3 years ago
6

Each section of a race is 25 mile. the race has 4 sections.

Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0
The answer is to that is 100
25times 4
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Find the cube roots of 27(cos 327° + i sin 327° ). Write the answer in trigonometric form.
Sindrei [870]

Answer:

3(cos 109° + i sin 109°)

3(cos 229° + i sin 229°)

3(cos 349° + i sin 349°)

Step-by-step explanation:

27(cos 327° + i sin 327°)

Modulus: 27^⅓ = 3

Arguments:

327/3 = 109

(327+360)/3 = 229

(327+2(360))/3 = 347

Cube roots are:

3(cos 109° + i sin 109°)

3(cos 229° + i sin 229°)

3(cos 349° + i sin 349°)

8 0
3 years ago
If a = 1/2, what is the value of a²?​
Ipatiy [6.2K]

Answer:

1/4

Step-by-step explanation:

a^2 = 1/2^2

1/2^2= 1/4

5 0
3 years ago
Read 2 more answers
What is the slope between these two points (1, 2) and (-3, 0)?
vlabodo [156]

Answer:

1/2 x

Step-by-step explanation:

7 0
2 years ago
A prism whose sides and faces are all congruent squares is a
slega [8]
That's a description of a cube.
3 0
3 years ago
Read 2 more answers
A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-
sergiy2304 [10]

Answer:

The <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}

Here,

\bar x_{d} = sample mean of the difference,

s_{d} = sample standard deviation of the difference,

<em>n </em>= sample size (both samples are of same size).

t_{\alpha/2, (n-1)} = critical value of <em>t</em>

(<em>n</em> - 1) = degrees of freedom

The information provided is:

<em>n</em> = 5

Confidence level = 95%

The critical value of <em>t</em> is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}

               =t_{0.025, 4}

               =2.776

*Use a <em>t</em>-table for the critical value of <em>t</em>.

Thus, the <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

4 0
3 years ago
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