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4 years ago

15

What is the volume of the rectangular pyramid

1 answer:

Mrrafil [7]4 years ago

4 0

Answer:

168

Step-by-step explanation:

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Part A - Identify the outlier 3,52,54,64,69,71,77,79,82,88 Part B - Calculate the mean and median with the outlier. Part C - Cal

Anna71 [15]

The outlier is 3, and the outlier has a greater effect on the mean because it is an average of all numbers where as the median is just the middle value in the data set. Everything else you can do on your own. To find the mean you add all the numbers up and divide by the total amount of numbers there are, the median you just cross one out from the left and then cross one out from the right and continue doing this until you are left with one number, or if you are left with two numbers you can add those two numbers up and then divide them by 2

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3 years ago

What is speed of sound in air at 100 degree celcius?

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386m/s is the answer to your question

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3 years ago

What is the probability a customer ordered a small, given that he or she ordered a hot drink?

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i don no

Step-by-step explanation:

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3 years ago

25 points BRAINLIEST The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the nu

Mamont248 [21]

Answer:

11 and 7.

Step-by-step explanation:

7 + 11 = 18

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2 years ago

9. A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

SSSSS [86.1K]

Answer:

Part 4) $r=84\ units$

Part 9) $sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) $sin(\theta)=-\frac{9\sqrt{202}}{202}$

Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

we know that

The circumference of a circle subtends a central angle of 360 degrees

The circumference is equal to

$C=2\pi r$

using proportion

$\frac{2\pi r}{360^o}=\frac{56\pi}{120^o}$

simplify

$\frac{r}{180^o}=\frac{56}{120^o}$

solve for r

$r=\frac{56}{120^o}(180^o)$

$r=84\ units$

Part 9) Given cos(∅)=-2/3 and ∅ lies in Quadrant III. Find the exact value of sin(∅) in simplified form

Remember the trigonometric identity

$cos^2(\theta)+sin^2(\theta)=1$

we have

$cos(\theta)=-\frac{2}{3}$

substitute the given value

$(-\frac{2}{3})^2+sin^2(\theta)=1$

$\frac{4}{9}+sin^2(\theta)=1$

$sin^2(\theta)=1-\frac{4}{9}$

$sin^2(\theta)=\frac{5}{9}$

square root both sides

$sin(\theta)=\pm\frac{\sqrt{5}}{3}$

we know that

If ∅ lies in Quadrant III

then

The value of sin(∅) is negative

$sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) The terminal side of ∅ passes through the point (11,-9). What is the exact value of sin(∅) in simplified form?

see the attached figure to better understand the problem

In the right triangle ABC of the figure

$sin(\theta)=\frac{BC}{AC}$

Find the length side AC applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=11^2+9^2$

$AC^2=202$

$AC=\sqrt{202}\ units$

so

$sin(\theta)=\frac{9}{\sqrt{202}}$

simplify

$sin(\theta)=\frac{9\sqrt{202}}{202}$

Remember that

The point (11,-9) lies in Quadrant IV

then

The value of sin(∅) is negative

therefore

$sin(\theta)=-\frac{9\sqrt{202}}{202}$

5 0

3 years ago