GCF 15and 64 What is it help

A block of pine wood , 4.0 cm on each side has of 27g what is the density of this block

Pavel [41]

The density of the pine wood, 4 cm on each side is 27/64 gram per cubic cm.

It is given in the question that each of the sides of the pine wood is 4 cm and it has the mass of 27 g.

We know that, the formula for density is given by:-

Density = Mass/Volume

As the pine wood has all of the sides equal, hence it is of cubic form.

We know that the volume of a cube = $side^{3}$

Here, we have,

Side = 4 cm

Hence,

Volume of pine wood = $(4cm)^{3}=64cm^{3}$

We know that,

Mass of pine wood = 27g

Hence, we can find,

Density of pine wood = $\frac{27g}{64cm^{3} }=\frac{27}{64}g/cm^{3}$

To learn more about density, here:-

brainly.com/question/952755

#SPJ4

8 0

2 years ago

Graph the inequality x > 3.

Marianna [84]

The graph would look like first one, or like this:

Hope this helped! c:

6 0

4 years ago

Read 2 more answers

How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.

lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle $\frac{2\pi }{3}$

- That means its magnitude is 7 and its direction is $\frac{2\pi }{3}$

∴ x = 7 cos( $\frac{2\pi }{3}$ )

∴ y = 7 sin( $\frac{2\pi }{3}$ )

∵ cos( $\frac{2\pi }{3}$ ) = $-\frac{1}{2}$

∵ sin( $\frac{2\pi }{3}$ ) = $\frac{\sqrt{3}}{2}$

- Substitute them in x and y

∴ x = (7)( $-\frac{1}{2}$ )

∴ x = -3.5

∴ y = (7)( $\frac{\sqrt{3}}{2}$ )

∴ y = 3.5 $\sqrt{3}$

∴ The vector is <-3.5 , 3.5 $\sqrt{3}$ >

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <3 + -3.5 , 4 + 3.5 $\sqrt{3}$ >

∴ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <-0.5 , 4+3.5 $\sqrt{3}$ >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

5 0

4 years ago

The standard deviation, the range, and the interquartile range (IQR) summarize the variability of the data. a. Why is the sta

Elza [17]

Answer:

Step-by-step explanation:

a) The standard deviation is usually preferred over the range because it is calculated from all of the data and will not be impacted as much as the range when they are outliers,and the standard deviation uses all of the data.

b)The IQR sometimes referred to the standard deviation when there is an outlier because the IQR is less sensitive to this features than standard deviation.

that is the IQR is not affected by an outlier,while the standard deviation is affected by an outlier.

c)The advantage of the standard deviation over the IQR is the standard deviation takes into account the values of all observation,while the IQR uses only some of the data.

6 0

3 years ago

Help me please I don’t understand

denis23 [38]

<h3>Answer: A) around 80 cm</h3>

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Explanation:

The perimeter around the circle, aka circumference, is found through this formula

C = 2*pi*r

That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.

For the outer larger semicircle, that curved distance is exactly 14pi

For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.

The total curved portions is 14pi+7pi = 21pi

Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14

This is the exact perimeter in terms of pi.

The last thing to do is replace pi with 3.14 and simplify

21pi+14 = 21*3.14+14 = 79.94

This value rounds to 80

3 0

3 years ago