Answer:
5.1cm
Step-by-step explanation:
volume of hemisphere = 1.07cm³
9.2-1.07 = 8.13
volume of cylinders = 8.13cm³
height of cylinder = 4.04cm
total height of gizmo = 4.04+0.8=4.84
4.84/sin(72) = 5.1cm
We know that
if <span>180º≤A≤270º
</span>then
A belongs to the III quadrant and tan A is positive
we have
5tan²A = 2tanA + 6-------> 5tan²A - 2tanA - 6=0
let
x=tan A
5x²-2x-6=0
using a graph tool----> to resolve the second order equation
see the attached figure
x=-0.91
x=1.314
remember that tan A is positive
the solution is
x=1.314
tan A=1.314
A=arc tan (1.314)--------> A=52.73°-----> A=52.7°
180º≤A≤270º
then
A=180+52.7-----> A=232.7°
the answer isA=232.7°
Answer:
Step-by-step explanation:
t(100-75)/100=2
t(25/100)=2
t=200/25
t=8 hours
So assuming scaled down it is
1:1.5 or
2:3
so
72 is the 3 units
divide 72 by 3
72/3=14
14 times 2=28
the surface area=28 in^2
Answer:
The y-coordinate of F is 8.
Step-by-step explanation:
The area of the large triangle = 1/2 * base * height.
From the given coordinates:
The base of the large triangle = x coordinate of C - x coordinate of A
= 11 - 3 = 8 units.
It's height = y coordinate of A = 12, so
Area of large triangle = 1/2 * 8 * 12 = 48 unit^2.
Using a similar calculation for the small triangle:
Base = 10 - 6 = 4 and height = k units.
So it's area = 1/2 * 4 * k = 2k unit^2.
So from given area of the shaded part:
48 - 2k = 32
-2k = -16
k = 8.