Answer:
Step-by-step explanation:
We want to simplify:
We rewrite to get:
We now apply the laws of indices
We simplify to get
We leave our final answer is scientific form.
The final answer is therefore:
Answer:
$5,671.84
Step-by-step explanation:
To find the third side, we can use the law of cosines:
c^2 = a^2 + b^2 - 2ab*cos(theta)
c^2 = 157^2 + 157^2 - 2*157*157*cos(65)
c^2 = 28463.7649
c = 168.71 feet
The perimeter of the playground is:
P = 157 + 157 + 168.71 = 482.71 feet
If each foot costs $11.75, the final cost is:
Cost = 482.71 * 11.75 = $5,671.84
The second one is correct
Answer:
d.
Step-by-step explanation:
Left line is defined when x < 1 (x is less than 1). The point is not full and that means that x = 1 is not included.
Right line is defined when x is greater or equal to one x ≥ 1.
Options that have x < 1 and x ≥ 1 are b and d, so the answer is one of those.
Equations of the lines are in slope-intercept form y = mx + b, where m is slope and b is y-intercept.
Right line has steeper slope than left line, so the slope of right line will have bigger absolute value. That is the case with option d. (Left line has slope -1 and right one has slope -2, absolute value of right slope is bigger.)
You could also check with y-intercepts. Left line has y-intercept at y = 2 and left line is defined when x < 1. Only option d meets these conditions.
Answer:
Length = 8 m
Width = 30 m
Step-by-step explanation:
Let length = x.
Then width = 3(x + 2).
P = 2(L + W)
76 = 2[x + 3(x + 2)]
76 = 2[x + 3x + 6]
76 = 2[4x + 6]
8x + 12 = 76
8x = 64
x = 8
3(x + 2) = 3(10) = 30
Answer:
Length = 8 m
Width = 30 m
