All categories

2 years ago

A glass cube of side length 5cm has a mass of 306.25g.

Mathematics

1 answer:

Alex73 [517]2 years ago

4 0

Answer:

2.45 g/cm3

Step-by-step explanation:

It's a cube, so all the side lengths are the same. It's volume is $(5cm)^3$ = $125 cm^3$ .

At this point, we apply the definition of density $\rho = \frac mV$ where m is the mass and V the volume. $\rho = \frac{306.25g}{125 cm^3} = 2.45 g/cm^3$

You might be interested in

Write the equation of circle b with center B(-2,3) that passes through (1,2)

professor190 [17]

Answer:

$(x+2)^2 + (y-3)^2 = 10$

Step-by-step explanation:

The standard equation for circle is

$(x-a)^2 + (y-b)^2 = r^2$

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

$(x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)$

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 ) in equation 1 we have

$\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\$

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is $=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10$

7 0

3 years ago

Solve the quadratic equation x2=25/36.<br><br><br>What are the solutions of the equation x2=25/36?

Alinara [238K]

Answer:

x is equal to positive 5/6 and negative 5/6

Step-by-step explanation:

To solve this, you simply need to take the square root of both sides:

$x^2 = \frac{25}{36}\\\sqrt{x^2} = \sqrt{\frac{25}{36}}\\x = \pm \frac{5}{6}$

7 0

3 years ago

If C={-10,-9,-8,-7,-6,-5} and D={-6,-5,-4,-3,-3,-1} what is CnD

nalin [4]

Answer:

-123 and 203 130 31804

Step-by-step explanation:

Apex idk

5 0

3 years ago

Solve for x. 15x + 6 = 10x + 21 x = -5 x = 5 x = 3 x = 5

klio [65]

Move all the x terms to one side and solve for x. 15x-10x=21-6 : 5x/5=15/5 : x=3

4 0

3 years ago

BWI Airport is building a new parking lot. The parking lot will need to fit 1350 cars. A typical row of parking spaces has 30 sp

Evgesh-ka [11]

Answer:

45 rows will need to be built to hold 1350 cars. (for 30 spaces a row)

19 fewer rows are needed if the rows fit 50 cars (for the 50 spaces a row)

Step-by-step explanation:

for the first question divide 1350 by 30 and the second divide 1350 by 50, good luck!

8 0

3 years ago