Answer:
D
Step-by-step explanation:
We need the formula for arc length (in radians) to solve this problem. The formula is:
Where
s is the arc length
r is the radius of the circle
is the intercepted angle
In this diagram, we can see that is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20
Also, if we look, we see that the radius is 5 cm, so r = 5
Now, we substitute into formula and find :
This is given in radians, so is 4 radians
D is the correct answer choice.
Answer:
13.7 cm
Step-by-step explanation:
- there are 360° in a circle and in this image, we can see 90°+90°+66.4°=260.4
- since we know that 360°-260.4°=99.6°
- The angle measure of arc AD is 99.6°
Now that we covered that, we can use the arc length formula in order to find the length of arc AD.
- arc length = 2πr(Θ/360°)
- 2π(7.9)(99.6°/360°) = 13.7329
- rounded to the nearest tenth = 13.7
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2
It's the same as finding the hypothenuse of a right triangle. Let c be the hypothenuse.
30 squared+ 50 squared= c squared.
900+ 2500= c squared
3400= c squared
Then find the square root of 3400 and that will equal c.
So, depending in what form the teacher was the answer. The answer will be square root of 3400 ft squared or 58.3 ft squared.
