Break the number within the radical symbol into 2 numbers: another number and a perfect square (when multiplied, they get the original number).
An example would be 48. The square root of 48 can be evaluated by breaking apart 48 into 16 (a perfect square) and 3 (another number). The square root of 16 is 4, so you take this number out of the radical symbol. Leave 3 within the symbol as it cannot be further reduced.
√48 = 4 √3.
Answer:
−4/63
Step-by-step explanation:
When a polynomial has four or more terms, the easiest way to factor it is to use <span>grouping</span>
Answer:
Step-by-step explanation:
The length of the polar coordinates ray is found using the Pythagorean Theorem: ray length = √( (-1)^2 + (-2)^2 ) = √( 1 + 4) = √5
Because both the x- and the y-coordinates here are negative, the ray is in Quadrant III. Measuring the angle counterclockwise from 0°, we get
Ф = 180° + arctan 2/1, or Ф = 180° + 63.43°, or 243.43°
The desired polar coordinates are (2√2, 243.43°)
Answer:
volume of cylinder: 55.4 cm³
Step-by-step explanation:
volume of cylinder is π * radius² * height
here given radius is 1.4 cm and height is 8 cm
using the formula:
π * 1.4² * 9
55.42 cm³
55.4 cm³ ...if rounded to nearest tenth.