Answer:
Step-by-step explanation:
12.718 units
Step-by-step explanation:
The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).
So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}
Now, length of WX = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123
And, length of XY = units, To find the units click this link :
https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236
Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)
Your answer would be x = 1.
The rules for a kite shape is that two pairs are of equal length, which means we can say that AD = CD and thus form an equation:
3x + 4 = x + 6
- x
2x + 4 = 6
- 4
2x = 2
÷ 2
x = 1
I hope this helps!
Answer:
you should accept the $1,000 bill
Step-by-step explanation:
Given the information:
- $500 for rolling 1 or 2
- $400 for rolling 3
- lose $300 for rolling 4,5,6
P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
P (rolling a 3) = 1/6
P (rolling 4 or 5 or 6) = 3/6 = 1/2
Hence, the expected value for 1 time is:
E = (1/3)*500 + (1/6)*400 - (1/2)*300
E = $166 + $66 - $150
E = $82
Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820
The expected value is $82, meaning you should accept the $1,000 bill
Answer:
C. 2.5×10^-27
Step-by-step explanation:
(2×10^-13)^-2 = 2^-2 × 10^(13×(-2)) = 1/4 × 10^-26
= 0.25 × 10^-26 = 2.5 × 10^-27
___
Your scientific or graphing calculator can compute and display this for you.
Answer:
The correct scientific notation for the number 500.0 is 
Step-by-step explanation:
While writing a large number in scientific notation we do below mentioned two things.
- We take any number between 1 and 10
- Then we multiply this number with an exponent of 10.
Hence, any number in scientific notation is in the form 
Here a is any number between 1 and 10.
b is exponent of 10.
Now, writing 500 in scientific notation, we take a = 5
Hence, we have to take b = 2, since 5 multiplied by 100 equas 500.
Thus, we have
