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3 years ago

Every time you score a shot in basketball you earn 2 points. Every time you score

Mathematics

1 answer:

abruzzese [7]3 years ago

8 0

Answer:

Look below

Step-by-step explanation:

Average means the middle of two numbers.

If the larger number is exactly one more or an odd number more than the smaller, it is possible for a half point to occur.

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If a distribution is skewed to the left, which of the following is true of the data set? Select two answers.

solmaris [256]

Answer:

I know (B) is correct, the median is the best measure of center if t distribution is Skewed Left

Step-by-step explanation:

3 0

3 years ago

Add 7 to me. Then subtract 10. If you subtract 5 and then add 9, you get 14. What number am I?

Vesna [10]

Answer:

your answer is 13.

am I correct.

3 0

3 years ago

Turn the sentence into an expression please

PilotLPTM [1.2K]

Answer:

6 * (n^2 + 4)

3 0

3 years ago

The spoke of wheel reaches from the center of the wheel to its rim if the circumstance of the wheel is 48 inches, how long is ea

user100 [1]

Answer:

7.6 in

Step-by-step explanation:

c = 2πr Divide each side by 2π

r = C/2π Insert values

r = 48/(2×3.14)

r = 48/6.28

r = 7.6 in

6 0

4 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

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

$AC^2=202$

$AC=\sqrt{202}\ units$

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

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