Answer:
Step-by-step explanation:
The diagonal gives you a 30°-60°-90° triangle. The lengths of the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 60° angle is 12 ft.
The side opposite the 30° angle is 12/√3 ft
The side opposite the 90° angle is 2×12/√3 = 24/√3 = 24√3/3 = 8√3 ft
<span> three-dimensional figure has length, width, and height. A face is a flat </span>side<span>. A vertex is .... Describe the faces edges and vertices of </span>each<span> three dimensional ... Vera's closet is </span>in the shape of<span> a </span>rectangular prism<span>. ... You </span>can<span> draw different views of three-dimensional figures. .... How </span>many square<span> millimeters of</span>wrapping paper<span>.</span>he amount of wrapping paper needed<span> to </span>cover<span> the figure represents its surface area. To find the surface area, you calculate the area of </span>each<span> face or </span>side<span> ... where SA = surface area, </span>l<span> = length, </span>w<span> = width, and </span>h<span> = height. ... the surface area of this </span>prism<span> is 158 </span>square inches<span>.
</span>
Both B and C will give you the correct factorization for this equation.
When you factor a quadratic, you are looking for factors of the last number (-42) that add up to the middle coefficient (1). Below are the factors of -42.
1*-42
-1*42
2*-21
-2*21
3*-14
-3*14
6*-7
-6*7
And since these two are the only ones that add up to 1, we use these in parenthesis, creating the following (x - 6)(x + 7) - which is answer C. You also can switch the order due to the laws of multiplication. If you switch them around you get (x + 7)(x - 6) - which is answer B as well.
Answer:
x = 25 B = 65˙ C = 50˙
Step-by-step explanation:
Triangle Sum- All three angles in a triangle add up to 180˙
65 + (3x - 10) + (2x) = 180
65 - 10 +3x + 2x = 180 Combine like terms
55 + 5x = 180 Move the 55 over to combine w/180.
<u>- 55 -55 </u>
<u>5x</u> = <u>125</u> Divide by 5
5 5
x = 25 Answer
B C
(3x - 10) (2x)
(3*25 - 10) (2* 25)
65˙ 50˙