Answer:
199.8°
Step-by-step explanation:
The circle has radius r = 7 ft.
Now, the circumference of the circle is given by the formula C = 2πr
So, 
ft.
Now, 44 ft arc length is equivalent to 360°
Hence, 24.42 ft arc length is equivalent to 
degree.
Therefore, the central angle is 199.8° (Answer)
Answer:
y = -7x + 10
Step-by-step explanation:
Using a point slope form equation
y - y1 = m( x - x1)
Given
Point = ( 1 , 3)
Slope = -7
Insert the values into
y - y1 = m(x - x1)
x1 = 1
y1 = 3
y - 3 = m( x - 1)
m = -7
y - 3 = -7(x - 1)
Using a slope intercept form equation
y = mx + c
Open the bracket
y - 3 = -7x + 7
y = -7x + 7 + 3
y = -7x + 10
The equation of the line is
y = -7x + 10
Answer:
y=-3
Step-by-step explanation:
16/2=8
-6/2=-3
Answer:
x = 15
Step-by-step explanation:
Simplifying
3x + (8x + 15) = 180
Reorder the terms:
3x + (15 + 8x) = 180
Remove parenthesis around (15 + 8x)
3x + 15 + 8x = 180
Reorder the terms:
15 + 3x + 8x = 180
Combine like terms: 3x + 8x = 11x
15 + 11x = 180
Solving
15 + 11x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 11x = 180 + -15
Combine like terms: 15 + -15 = 0
0 + 11x = 180 + -15
11x = 180 + -15
Combine like terms: 180 + -15 = 165
11x = 165
Divide each side by '11'.
x = 15
Simplifying
x = 15
None of the options are correct
Step-by-step explanation:
Given :
a person has 35% chance of winning on a scratch- off lottery ticket.
To find the probability that she wins the sixth ticket is,
P( she first wins the sixth ticket )
= _ _ _ _ _ _
the first 5 dashes represent does not win values ( prob = 0.65)
the last dash represents the win ( prob = 0.35)
= (0.65) ^5 * 0.35 {assuming independence
none of the option is correct.
