Answer:
the height of the larger container is 6 cm
Step-by-step explanation:
The computation of the height of the large container is shown below:
In the case when the factor of linear scale for two solid be k
So the factor of volume scale be k^3
Now the volume scale factor is
= 128 ÷ 54
= 64 ÷ 27
= (4 ÷ 3)^3
Now the height of the large container is
= 4.5 cm × 4 ÷ 3
= 6 cm
hence, the height of the larger container is 6 cm
Answer:
2x³ - 2
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
= x(2x² + 2x + 2) - 1(2x² + 2x + 2) ← distribute both parenthesis
= 2x³ + 2x² + 2x - 2x² - 2x - 2 ← collect like terms
= 2x³ - 2
Answer:
A.
Step-by-step explanation:
π/4 radians = 45°
In a 45-45-90 degree angle, the ratio of the lengths of the sides is
1 : 1 : √2
x = y = 1/√2
x = y = √2/2
Answer: A.
In a 30°-60°-90° triangle, the sides occur in a ratio of 1 to √3 to 2. In this case, <em>x</em> is half the length of the hypotenuse, so <em>x</em> = 4.
Or, using trig,
cos(30°) = <em>x</em>/8
<em>x</em> = 8 cos(30°) = 8 (1/2) = 4
