We can calculate using cosinus method in triangle
c² = a² + b² - 2ab cos c
Plug in the number to the formula
c² = a² + b² - 2ab cos c
c² = 10² + 8² - 2(10)(8) cos 105°
c² = 100 + 64 - 160 cos 105°
c² = 164 - 160 (-0.26)
c² = 164 + 41.6
c² = 205.6
c = √205.6
c =14.34
C is 14.34 unit length
Answer:
You used 80% I think :)
Step-by-step explanation:
Answer: Function, not a function, Function, not a function
Step-by-step explanation:
For it to be a function, each value of x has to map onto one value of y.
- This is a function.
- Not a function since x=-1 has more than one y value.
- This is a function
- Not a function since x=-6 has more than one y value.
We can split it up into a net
actually, here is a hack
notice that indented side?
we can take the plane and push it so it makes 4 sides, neat
ok, so we now just have 4 normal sides and 2 L shapes
L shape can be cut into 2 rectangles
5 by 5 and 5 by 10 so total of 75 is the L
2 L's so
2*75=150
the sides
4 of them
they all are 10 by 3
10*3*4=120
toatl is 150+120=270
answer is A
Answer:
(5.4582 ; 6.8618)
Step-by-step explanation:
Given the data:
6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5
Sample mean, xbar = Σx / n
n = sample size = 50
ΣX = 308
xbar = 308 / 50 = 6.16
Using a Calculator :
The sample standard deviation, s = 2.469
Confidence interval = xbar ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 95% ; df = 50 - 1 = 49
Tcritical = 2.010
Hence,
Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018
Lower boundary : (6.16 - 0.7018) = 5.4582
Upper boundary : (6.16 + 0.7018) = 6.8618
(5.4582 ; 6.8618)
