The diameter of the circle is 5.4 cm. The shaded area is 180 degrees, which is 1/2 of the circle.
Calculate the area of the full circle and divide by 2.
Area = PI x r^2
r = 5.4/2 = 2.7
Area = 3.14 x 2.7^2 = 22.90
Area of shaded part: 22.90 / 2 = 11.45 cm^2.
The answer is A.
Answer:
smallest angle measure 39 degrees
Step-by-step explanation:
the sum of the three interior angles in a triangle is always 180°
x= smallest
x +x+24 + 2x = 180
4x +24 = 180
4x = 156
x = 39
Answer:
- The smaller one is x = 3
- and the larger one is x = 6
Step-by-step explanation:
A "critical number" is a function argument where the function has zero or undefined slope. A polynomial function never has undefined slope, so we're looking for the x-values where f'(x) = 0.
A graphing calculator easily shows the points that have zero slope. They are found at x = 3 and x = 6.
_____
Setting the derivative to zero is another way to find the points with zero slope:
f'(x) = 6x^2 -54x +108 = 6(x^2 -9x +18) = 6(x-3)(x-6)
The derivative will be zero where the factors are zero, at x=3 and x=6.
The critical numbers are x=3 and x=6.
Answer:
Greater than symbol.
2/3 > 2/4
Step-by-step explanation:
We have two fractions, 2/3 and 2/4
We then go back to the inequality part of mathematics where we have symbols such as greater than (>), less than (<), and equal to (=).
Of the three inequality symbols, we look and pick at the one that represents best, the fractions we were given.
2/3 and 2/4
With 2/3 being greater than 2/4.
2/3 = 0.67
2/4 = 0.50
Succinctly, 2/3 > 2/4.
Answer:
0.03%
Step-by-step explanation:
Simple interes = PRT/100
Given
Interest = $590.00
Principal P = $8000
Time T = 285 days
Rate = ?
Since I = PRT/100
R = 100 x I /PT
= 100 x $590.00 /$8000 x 285
Multiply through
= 59000/2280000
= 0.03%
