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2 years ago

Each side of the cube is 8cm and the mass of the cube is 1,536g. What is the density of the cube?

Mathematics

1 answer:

skad [1K]2 years ago

5 0

Answer:

The volume is 8^3 = 512 cm^3, and the mass is 1,536g. So the density is 1,536/512 = 0.003 g/cm^3. (Note that the number of significant digits should be 1, as 8 cm being the side length of the cube is in one significant digit.)

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Reduce 36/45 to lowest terms and write the numerator in the blank.

saveliy_v [14]

4/5 is your answer

Hope this helps

7 0

3 years ago

Read 2 more answers

Using the approximation 3.14 for \pi what is the radius of a circle with circumference 75.4m

Charra [1.4K]

Answer:

The radius of the circle is 12.006 m.

Step-by-step explanation:

Let us assume the radius of the circle = r

Circumference = 75.4 m

Now, CIRCUMFERENCE OF A CIRCLE = 2 π r

⇒ 75 .4 m = 2 π r

Now, putting π = 3.14, we get:

75 .4 m = 2 (3.14) r

⇒ 75.4 = 6. 28 r

or, r = 75.4/6.28 = 12.006

or, r = 12.006 m

Hence, the radius of the circle with circumference 75.4 m is 12.006 m.

3 0

3 years ago

4.) What is the exact value of sinθ when θ lies in Quadrant II and cosθ=−513

dimaraw [331]

Answer:

Part 4) $sin(\theta)=\frac{12}{13}$

Part 10) The angle of elevation is $40.36\°$

Part 11) The angle of depression is $78.61\°$

Part 12) $arcsin(0.5)=30\°$ or $arcsin(0.5)=150\°$

Part 13) $-45\°$ or $225\°$

Step-by-step explanation:

Part 4) we have that

$cos(\theta)=-\frac{5}{13}$

The angle theta lies in Quadrant II

The sine of angle theta is positive

Remember that

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

substitute the given value

$sin^{2}(\theta)+(-\frac{5}{13})^{2}=1$

$sin^{2}(\theta)+(\frac{25}{169})=1$

$sin^{2}(\theta)=1-(\frac{25}{169})$

$sin^{2}(\theta)=(\frac{144}{169})$

$sin(\theta)=\frac{12}{13}$

Part 10)

Let

$\theta$ ----> angle of elevation

we know that

$tan(\theta)=\frac{85}{100}$ ----> opposite side angle theta divided by adjacent side angle theta

$\theta=arctan(\frac{85}{100})=40.36\°$

Part 11)

Let

$\theta$ ----> angle of depression

we know that

$sin(\theta)=\frac{5,389-2,405}{3,044}$ ----> opposite side angle theta divided by hypotenuse

$sin(\theta)=\frac{2,984}{3,044}$

$\theta=arcsin(\frac{2,984}{3,044})=78.61\°$

Part 12) What is the exact value of arcsin(0.5)?

Remember that

$sin(30\°)=0.5$

therefore

$arcsin(0.5)$ -----> has two solutions

$arcsin(0.5)=30\°$ ----> I Quadrant

$arcsin(0.5)=180\°-30\°=150\°$ ----> II Quadrant

Part 13) What is the exact value of $arcsin(-\frac{\sqrt{2}}{2})$

The sine is negative

The angle lies in Quadrant III or Quadrant IV

Remember that

$sin(45\°)=\frac{\sqrt{2}}{2}$

therefore

$arcsin(-\frac{\sqrt{2}}{2})$ ----> has two solutions

$arcsin(-\frac{\sqrt{2}}{2})=-45\°$ ----> IV Quadrant

$arcsin(-\frac{\sqrt{2}}{2})=180\°+45\°=225\°$ ----> III Quadrant

5 0

3 years ago

Express 0.01620.01620, point, 0162 as a fraction.

just olya [345]

162/10000 is the answer to this question

8 0

3 years ago

Find the values of x and y

PSYCHO15rus [73]

Hi there!

So you're looking at an equilateral triangle, which is a big word that basically means all three sides are equal and all three angles are 60°.

Knowing that, the mesure of one side is 7, so necessarily the side "x" is also equal to 7.

So the value of x is : 7

And since all angles are of 60°, necessarily the angle "y" has an angle of 60°.

So the value of y° is : 60°

There you go! I really hope this helped, if there's anything just let me know! :)

6 0

3 years ago

Read 2 more answers