The answer is D and i showed the work
Answer:
2880
Step-by-step explanation:
The base is made up of two triangles and a square, if that makes sense. Finding the area of a triangle is (base x height)/2.
The base of the tiny triangle is 4 because there is 8 inches extra to the 10 inch square. <u>10 x 4 = 40.</u>
Now we have a 10 by 10 square: <u>10 x 10 = 100. </u>
So, the area of the trapezoid is 140. There are two trapezoids in this prism, so both bases are 280.
The surface area of the sides are solved by <u>12 x 50 = 600. </u>Together, the sides equal 1200.
The top is solved by <u>10 x 50 = 500.</u>
The bottom is solved by <u>18 x 50 = 900.</u>
Add them all together: 280 + 1200 + 500 + 900 = 2,880
It is 3/4 of the pie is left because one slice is 1/4 of the pie and taking 1/4 from 4/4 is 3/4
<h3>
Answer: Choice B</h3><h3>
sqrt(3)/2, 1/2, sqrt(3)</h3>
================================================
Explanation:
Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12
Sin(angle) = opposite/hypotenuse
sin(A) = BC/AB
sin(A) = 6sqrt(3)/12
sin(A) = sqrt(3)/2
---------------
Cosine is the ratio of the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 6/12
cos(A) = 1/2
---------------
Tangent is the ratio of the opposite and adjacent
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 6sqrt(3)/6
tan(A) = sqrt(3)
