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3 years ago

A block of wood 3.0 cm on each side and has a mass of 27 g. What is the density of this block.

1 answer:

8 0

The density is 1g/cm³. To calculate density, the equation density=mass/volume is used. You already know the mass, 27g, but you need the volume. The equation for volume is length x width x height. Plug in your side measure 3, to get 3 x 3 x 3, which is 27cm³. Now, just divide the mass by the volume. 27g/27cm³= 1g/cm³

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The diameter of a large lawn ornament in the shape of a sphere is 16 inches. What is the approximate volume of the ornament? Use

Dvinal [7]

Answer: $2143.6\ in.^3$

Step-by-step explanation:

Given: The diameter of a large lawn ornament in the shape of a sphere = 16 inches.

Then, the radius of ornament = $\frac{16}{2}=8$ inches.

We know that the volume of a sphere is given by :-

$\text{Volume}=\frac{4}{3}\pi r^3$ , where r is the radius of a sphere.

Now, the volume of the ornament is given by :-

$\text{Volume}=\frac{4}{3}(3.14) (8)^3\\\\\Rightarrow\text{Volume}=\frac{4}{3}\times3.14\times512=2143.57333333\approx2143.6\ in,^3$

Hence, the approximate volume of the ornament $=2143.6\ in.^3$

7 0

3 years ago

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The shelf is 4 feet wide and 2/3 feet deep. what is the area of the shelf?

steposvetlana [31]

Answer:

Area of the self will be $=4\times \frac{2}{3}=\frac{8}{3}=2.666ft^2$

Step-by-step explanation:

We have given that self is 4 feet wide and $\frac{2}{3}$ feet deep

So length pf the shelf l = $\frac{2}{3}$ feet

And width = 4 feet

We have to find the area of the self

We know that area is given by

Area = length × width

So area of the self will be $=4\times \frac{2}{3}=\frac{8}{3}=2.666ft^2$

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3 years ago

A grocery store sells 6 bottles of water for $4 and 18 bottles for $10. Is the cost of the water proportional to the number sold

kirill115 [55]

Answer:

Non Proportional

Step-by-step explanation:

Make a proportion:

For example say you want to test out how many bottles of water you can buy for $10

Proportion:

4 - 6

10 - ?

Solve: 10×6÷4=15

So technically, you could only get 15 bottles for $10. Therefore, this is a non proportional problem.

5 0

3 years ago

Can the quadratic polynomial x2+kx+k have equal zeroes for some odd integer k>1

PilotLPTM [1.2K]

No.
The only value that can be put in K that would have the same zeros would be 4 but 4 is not an odd integer. If there was an odd integer that the sum and product would be the same then it would lie on the x-axis. but only 4 fits the criteria.

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3 years ago

What is the midpoint of a line segment with endpoints at (3,-1) and (8, -4)?

8090 [49]

Answer:

Step-by-step explanation:( $(\frac{3+8}{2} ,\frac{-1-4}{2} )\\\\(\frac{11}{2} ,\frac{-5}{2} )$

5 0

3 years ago

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