Answer:
Second option is correct
Step-by-step explanation:
Given:
Central angle = 15°
Radius of the circle = 9 in
Arc length = ?
Given formula is
Where n is the central angle of the sector.
Write the given formula for Arc length of the sector.
We know that the the circumference of the circle is 
, where r is the radius of the circle,
Now we substitute central angle value and radius value in above equation.
----------(
)
Divide the numerator and denominator by 5.
Therefore the arc length of the sector is 
If a box has a square base its volume will be:
V=hb^2 where h is the height...
h=V/b^2 we are told that V=125 so
h=125/b^2 now for the surface area, which consists of the two bases for a total of 2b^2. It will also have four sides with a total area of 4(bh)=4bh so
A=2b^2+4bh, using h found above in this gives us:
A=2b^2+4b(V/b^2)
A=2b^2+4V/b
A=(2b^3+4V)/b, then taking the derivatives we can find the velocity of the area function.
dA/db=(6b^3-2b^3-4V)/b^2
dA/db=(4b^3-4V)/b^2
dA/db=0 when 4b^3-4V=0
b^3=V
b=V^(1/3), since V=125
b=5in, and since h=V/b^2
h=125/25=5in
So the dimensions that will minimize the amount of material used to enclose a volume of 125in^2 is a 5in cube.
h=b=5in
Answer:
Step-by-step explanation:
Given
- A is between C and T
- CA =4x + 6
- AT =7x-6
- CT =132
As per segment addition postulate:
- CT = CA + AT
- 4x + 6 + 7x - 6 = 132
- 11x = 132
- x = 132/11
- x = 12
21.2 (21.2) is (=) 54500 (54500) of (times) what number (?)
21.2=54500 times ?
divide oth sides by 54500
21.2/54500=?
Answer: m = 16
Remember: the base angles of a trapezoid are congruent.
Form your equation.
4m + 1 = 2m + 33
Solve for m.
4m + 1 = 2m + 33 Subtract 1 from both sides
4m = 2m + 32 Subtract 2m from both sides
2m = 32 Divide by 2 to both sides
m = 16 Answer!
You can also check your work.
4(16) + 1 = 2(16) + 33
64 + 1 = 32 + 33
65 = 65
