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2 years ago

A, B & C form the vertices of a triangle.

Mathematics

1 answer:

patriot [66]2 years ago

8 0

Answer:

AC = 17.8

Explanation:

to figure out the length of AC, you want to put the values into the tangent function:

tan 64° = AC/8.7

Now to solve:

first swap them so you have AC/8.7 = tan 64°

Multiply both sides by 8.7 to get AC = 8.7 tan 64°

then calculate it

AC = 8.7 x 2.0503...

AC = 17.8376

AC = 17.8 (3 Significant Figures)

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The sum of two numbers is 40. One number is 4 times as large as the other. What are the numbers?

Sergeu [11.5K]

Answer:

4x+x=40

5x+40

x=8

8, 32

Step-by-step explanation:

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3 years ago

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lukranit [14]

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3 years ago

The house has a form of a rectangle with one side two and a half times as long as the other side.

Studentka2010 [4]

Answer:

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Step-by-step explanation:

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3 years ago

Please help me out!!!!!

Gnoma [55]

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3 years ago

A professor records the difference between the marks scored by the students in the class test last week and those scored in the

dezoksy [38]

Answer: $(10.82\ , 13.18)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\mu\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 35 , large sample (n>30)

Mean difference : $\overline{x}=12$

Standard deviation : $\sigma=3$

Significance level : $\alpha=- 1-0.999=0.001$

Critical value : $z_{\alpha/2}=z_{0.0005}=3.4807567$

Now, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students will be :-

$12\pm\ (3.4807567)\dfrac{2}{\sqrt{35}}\\\\=12\pm1.18\\\\=(10.82\ , 13.18)$

Hence, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students = $(10.82\ , 13.18)$

4 0

3 years ago