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3 years ago

Emily is making a meal for her family. She uses coconut milk for the dessert she is making.

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer:

576 cm^3

Step-by-step explanation:

Express this volume formula as V = π r^2 h, where the " ^ " symbol indicates exponentiation. Substitute 4 for r (this is half the diameter), 12 cm for h, and 3 for π: V = 3*(4)^2*12 cm^3, or V = 576 cm^3.

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Here is a graph of days(d) of year and the predicted number of hours of sunlight(h)

suter [353]

Look at where the peak is. So, the greatest number of hours of sunlight would be around 180.

8 0

2 years ago

The masses to the nearest kilogram of nine men were:

serious [3.7K]

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

$75+68+78+82+85+90+88+92+76=\\734$

Step 2, dividing by the # of terms:

There are 9 terms in total.

$\frac{734}{9} =\\81.556$

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was $\fbox{82}$ kg.

<em>I hope this helps! Let me know if you have any questions :)</em>

5 0

3 years ago

Read 2 more answers

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

Kevin opens a savings account with $350. He saves $125 each month.

Andrej [43]

Answer:

y=350x+125

Step-by-step explanation:

y=350x+125

6 0

3 years ago

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Which equation is a linear function?

Harman [31]

Answer:

the formula y=mx + b is said to be a linear function that means the graph of this function will be a straight line on the x, y plane

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers