The names PNM and MPN are perfectly valid. The order of the letters doesn't matter. In fact, there are 6 ways to name this plane if we just use the 3 letters. If we include "plane Z", then there are 7 total ways to name the plane.
For some reason, your teacher wants P to be the third letter as s/he mentioned MNP and NMP. But again, the order doesn't matter.
Answer:
B -⅓
Step-by-step explanation:
sinx = -3/5
Adjacent² = 5² - 3² = 16
Adjacent = 4
tan(x) = -3/4
-¾ = 2tan(½x)/[1 - tan²(½x)]
-3 + 3tan²(½x) = 8tan(½x)
3tan²(½x) - 8tan(½x) - 3 = 0
tan(½x) = 3, -⅓
The value will be positive
since the slope is going upwards
√3=1.7
2√3=3.4
√5=2.2
The order:
√3,2√3,√5
The circumference of a circle is found with the equation
C = 2 pi * r
Since we have the circumference we can find the radius. Then once we have the radius we can determine the diameter.
9619 = 2 (22/7) r
multiply each side by 7
67333 = 2*22*r
67333 = 44r
divide each side by 44
r = 67333/44 = 1530.295 rounded to the nearest hundredth = 1530.30
The diameter is 2 x the radius, so
1530.30 x 2 = 3060.6 ft
The diameter of the crater is 3060.6 ft
