Sector area = (central angle / 360) * PI * radius^2
sector area = (210 / 360) * PI * 2.3^2
sector area = (7 / 12) * PI * 5.29
<span><span><span>sector area = 9.6944313302
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<span>sector area = 9.7 square meters (rounded)
Source:
http://www.1728.org/radians.htm
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12 x .75 = 9 ft (horizontal)
4 x 1.5 = 6 ft (vertical)
Answer:
n > -14
Step-by-step explanation:
Firstly, you use the distributive property;
-12 - 6n > 72
Then, since 12 is negative, you add 12 to both sides;
-12 - 6n > 72
+12 +12
-6n > 84
Then you divide both sides by -6 to get n > -14.
Shoot, hold on; this is an edit; did you mean that 72 is greater than -6(2 + n) or did you accidentally flip the sign in the picture? Hopefully I did what you needed.
Although the information has been presented in a baffling way in this question, but I think I understood the expressions.
We have been given that price of monster truck is x dollars and there is an 13% monster truck tax.
We can express the monster truck tax amount as
.
Therefore, the total amount including tax will be
.
We can now match each statement with its equivalent expression as shown below
The price of Camacho’s new truck before tax = x
The amount of tax Camacho pays = 0.13x
Camacho’s total bill for the monster truck = 1.13x
None of these = 0.87x
Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)