Answer:
There are 30 ounce of green paint 18 ounces blue paint was needed.
Step-by-step explanation:
Given that,
In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.
Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.
According to the problem,
2x+3x=30
⇒5x=30
⇒ x=6
The amount of blue paint is = 2×6
=12 ounces
The amount yellow paint is = (3×6)
= 18 ounces
There are 30 ounce of green paint 18 ounces blue paint was needed.
Answer: the sand in the new terrarium is 2 inches deep.
Step-by-step explanation:
Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand. It means that the volume of sand that this terrarium contains is
20 × 8 × 3 = 480 inches³
Zach gets a new terrarium that is larger with the dimensions of 10 by 24. If Zach moved the existing sand in the new terrarium and the height of the sand is represented by h, then the volume of sand into he new terrarium is
10 × 24 × h = 240h
Since the volume of sand in both terrariums is equal, then
240h = 480
h = 480/240
h = 2 inches
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothegm. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothegm = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
All but the last one I think but don't quote me
There's a formula for that.
KE = (1/2)mv²
... = (1/2)(2000 kg)(30 m/s)²
... = 900,000 kg·m²/s²
... = 900,000 J
_____
It is helpful to know the relationship between kilograms, meters, seconds, and Newtons or Joules.
1 J = 1 kg·m²/s²
