Answer:
b
Step-by-step explanation:
to prove if NP is tangent to MN
we could prove if NPM is a right triangle
By pythagorean theorem
a^2+b^2=c^2
where a=MN=33
b=NP=180
c=MP=MQ+QP=152+33=185
so
33^2+180^2=185^2
but
1089+32400 is not equal to 34225
33489 is different from 34225
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
Answer: y=-3x+5
Step-by-step explanation:
Slope-intercept form is y=mx+b. So to make your equation into slope-intercept form, simply subtract 3x from both sides, which results in y=-3x+5
487/67= 7.2686567
rounded= 7.269
