The formula for the law of cosines is:
a^2 = b^2 + c^2 - 2*b*c*cos(angle)
In this triangle b = 7, c = 8 and angle = 32.
a^2 = 7^2 + 8^2 - 2*7*8*cos(32)
a^2 = 18.018
a = SQRT(18.018)
a = 4.24
C = 4.2 feet.
Answer:
Area of given figure = 197.48 mi² (Approx.)
Step-by-step explanation:
Note;
Divide given figure into a semi-circle, rectangle, and square
Given:
Radius = 8 mi
Length of rectangle = 11 mi
Width of rectangle = 8 mi
Side of square = 3 mi
Find:
Area of given figure
Computation:
Area of given figure = Area of semi-circle + Area of rectangle + Area of square
Area of given figure = (π/2)(r²) + [L x B] + Side²
Area of given figure = (3.14/2)(8²) + [11 x 8] + 3²
Area of given figure = (1.57)(64) + [88] + 9
Area of given figure = 100.48 + [88] + 9
Area of given figure = 197.48 mi² (Approx.)
Answer:
x = - 8
Step-by-step explanation:
Here we are given a linear single variable equation of x and we have to solve it.
Now, the equation is 4(2x + 1) = 6x - 12
⇒ 8x + 4 = 6x - 12 {By distributive property of multiplication}
⇒ 8x - 6x = - 12 - 4
{Separating the x terms to one side and the constant terms to the other side}
⇒ 2x = - 16
⇒ x = - 8 {Dividing both sides by 2} (Answer)
<span>y = 4x^2 - 8x + 6 = (2x - 2)^2 + 2 = 4(x - 1)^2 + 2</span><span>
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Answer:
translate (x,y) (x-5,y+8)
