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inna [77]
3 years ago
5

A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3.645 grams. What is the density of this cube?

Mathematics
1 answer:
ehidna [41]3 years ago
8 0

Answer:

density =  \frac{mass}{volume}

mass = 3.645 g

volume = 9×9×9

= 729 cm³

density = 3.645/729

= 0.005 gcm^-3

Step-by-step explanation:

the volume is 729 cm³ cause the given height is 9cm and it is a cube. cube has equal sides so their lengths are the same.

volume = length × height × width

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NO LINKS!!!
Ber [7]

Refer to this previous solution set

brainly.com/question/26114608

===========================================================

Problem 4

Like the three earlier problems, we'll place the kicker at the origin and have her kick to the right. The two roots in this case are x = 0 and x = 20 to represent when the ball is on the ground.

This leads to the factors x and x-20 and the equation y = ax(x-20)

We'll plug in (x,y) = (10,28) which is the vertex point. The 10 is the midpoint of 0 and 20 mentioned earlier.

Let's solve for 'a'.

y = ax(x-20)\\\\28 = a*10(10-20)\\\\28 = -100a\\\\a = -\frac{28}{100}\\\\a = -\frac{7}{25}\\\\

This then leads us to:

y = ax(x-20)\\\\y = -\frac{7}{25}x(x-20)\\\\y = -\frac{7}{25}x*x-\frac{7}{25}x*(-20)\\\\y = -\frac{7}{25}x^2+\frac{28}{5}x\\\\

The equation is in the form y = ax^2+bx+c with a = -\frac{7}{25}, \ b = \frac{28}{5}, \ c = 0

The graph is below in blue.

===========================================================

Problem 5

The same set up applies as before.

This time we have the roots x = 0 and x = 100 to lead to the factors x and x-100. We have the equation y = ax(x-100)

We'll use the vertex point (50,12) to find 'a'.

y = ax(x-100)\\\\12 = a*50(50-100)\\\\12 = -2500a\\\\a = -\frac{12}{2500}\\\\a = -\frac{3}{625}\\\\

Then we can find the standard form

y = ax(x-100)\\\\y = -\frac{3}{625}x(x-100)\\\\y = -\frac{3}{625}x*x-\frac{3}{625}x*(-100)\\\\y = -\frac{3}{625}x^2+\frac{12}{25}x\\\\

The graph is below in red.

4 0
3 years ago
Explain how you can use 25% of a number to find the number
stepan [7]

Explanation:

Say your # is 100, and 25% of that is 75.

133.3333333333333333333333333333333333(forever)% of it is 100.

I hoped this helped, and please mark this as brainliest!

5 0
4 years ago
Use the equation to answer the questions. Round both answers to nearest whole number. Y = 47.25 − 2.25 X If Y equals 8 , what is
noname [10]

Answer:

If Y equals 8, X is equal to 17.

If Y drops to 4, X is equal to 19.

Step-by-step explanation:

We know that the equation is Y = 47.25- 2.25X and we want to find X when Y = 8. To do this we solve the equation for X.

47.25-2.25X=8\\47.25\cdot \:100-2.25X\cdot \:100=8\cdot \:100\\4725-225X=800\\4725-225X-4725=800-4725\\-225X=-3925\\\frac{-225X}{-225}=\frac{-3925}{-225}\\X=\frac{157}{9}=17.4444...

17.4444 rounded to the nearest whole number is 17.

If Y drops to 4,

4 = 47.25- 2.25X\\47.25-2.25X=4\\47.25\cdot \:100-2.25X\cdot \:100=4\cdot \:100\\4725-225X=400\\4725-225X-4725=400-4725\\-225X=-4325\\X=\frac{173}{9}=19.2222...

19.2222 rounded to the nearest whole number is 19.

5 0
4 years ago
How do you write 2x-3y=-15 In slope intercept form?
shusha [124]

2x-3y=-15

subtract 2x from each side

-3y = -2x-15

divide by -3

y = 2/3 x +5

this is in slope (2/3) intercept (5) form


5 0
3 years ago
Read 2 more answers
The measures of complementary angles have a sum of 90 degrees.Angle A and angle B are complimentary, and their measures have a d
777dan777 [17]

Answer:

The measure of the angles are 55° and 35°

Step-by-step explanation:

Sum of two angles that are complement of each other are 90.

The angles are A and B, so we can write:

A + B = 90

Also,

The difference is 20. Let A be the greater of them, so we can write equation 2 as:

A - B = 20

Now, we add up both equations, eliminate B and solve for A first:

A + B = 90

A - B = 20

---------------

2A = 90 + 20

2A = 110

A = 110/2

A = 55

And now the measure of B:

A + B = 90

55 + B = 90

B = 90 - 55

B = 35

5 0
4 years ago
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