Answer:
C) 169 square units
Step-by-step explanation:
The formula for the area of a square is A = a² where a is one side of the square.
To find the length of one side of the square, use the distance formula for two points. I will use the points (-8, 3) and (4, 8).
d = √((x₂ - x₁)² + (y₂ - y₁)²)
d = √((4 - (-8)² + (8 - 3)²)
d = √((12)² + (5)²)
d = √(144 + 25)
d = √(169)
d = 13
Now since all of the sides of the square equal that value (13), plug it into the area formula.
Area = a²
Area = 13²
Area = 169.
Answer:
I believe the answer is 1/2
Step-by-step explanation:
4*3=12+2=14,14/3
1*3=3+1=4
14/3+4/3=18/3 divided by 2=6/3 simplified to 1/2
I got the 6/3 by dividing 18 by 2 and 3 by 1
Answer:
Yes
Step-by-step explanation:
2 times 1= 2
y=1
2-1=1
Yes
Answer:
H0: p(1980) = p(2010) ; H1 : P(1980) > P(2010)
0.02
Step-by-step explanation:
Given that:
Sample size in both 1980 and 2010 = 1000 samples :
Proportion in favor :
P(1980) = 0.66
P(2010) = 0.64
To test the hypothesis :
Null hypothesis :
Proportion in favor are the same in both years
Null hypothesis = H0 = p(1980) = p(2010)
Alternative hypothesis :
Proportion in favor in 1980 is greater than that in 2010
Alternative hypothesis = H1 : P(1980) > P(2010)
The sample statistic :
P(1980) - p(2010)
0.66 - 0.64
= 0.02
Answer:
x=25°
Step-by-step explanation:
<u>Sum of angles of a triangle equals 180°</u>
- x + 10° + 2x + 15° + 3x + 5° = 180°
- 6x + 30° = 180°
- 6x = 180° - 30°
- 6x = 150°
- x = 150°/6
- x = 25°