Answer:
Step-by-step explanation:
Note that:
Two angles are Complementary when they add up to 90 degrees
Two angles are supplementary when they add up to 180 degrees
Let the angle = x
If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.
90 - x = 180 - 4x
Answer:
Option C
Step-by-step explanation:
When you put the write the scenario in an equation, it'll look like
(5q+3)(5q-3) for the new width times the new length
Factor these, and you shall get 25q^2+15q-15q-9. Simplify that into
25q^2-9
Answer:
33.4933 ≈ 33.5 mm³
Step-by-step explanation:
Given that,
→ Radius (r) = 2 mm
Formula we use,
→ 4/3 πr³
Let's solve for the volume of sphere,
→ 4/3 πr³
→ 4/3 × 3.14 × 2 × 2 × 2
→ 4/3 × 3.14 × 8
→ 4/3 × 25.12
→ 100.48/3
→ 33.4933
→ [ ≈ 33.5 mm³ ]
Hence, volume of sphere is 33.5 mm³.
It is given that z varies directly with x and inversely with the square of y so it follows:
It is also given that z=18 when x=6 and y=2 so it follows:
So the equation of variation becomes:
Therefore the value of z when x=7 and y=7 is given by:
Hence the value of z is 12/7 or 1.7143.
