For this, you have to understand the ratios of a 30,60,90 triangle. The ratio(in order) is x, x(sqrt 3), 2x (following the 30,60,90 pattern y'know). Well, we know the length of the hypotenuse, 4.2, so let's use ratios to figure the other sides out. The ratio of AC is x and the ratio of AB is 2x, so 2x/2=x=2.1. One side down. BC has a ratio of x(sqrt 3). We already know x so we can substitute it in. We get 2.1(sqrt 3). To calculate the area, use the formula 1/2(bh). Inputting the values in, we get 1/2(2.1*(2.1(sqrt 3)). This can be calculated to around 3.82. To calculate the perimeter, take the sum of the sides. By adding the sides together, we get about 9.98. Hope you can now understand how to do these kinds of questions.
Answer:
X=10
Step-by-step explanation:
You can subtract 180 by 110 to get 70. Then you can do 8x+30+70=180
Add 30+70 to get 100
Subtract 100 to 180 to get 80.
8x=80
You divide 8 from both sides which leaves you with x=10.
Line HK is the line of intersection between pllanes AMKH and HKDY.
Consider all given options:
1. Line PB is the line of intersection between pllanes APBM and PBDY. Since planes APBM || HKDY and AMKH || PBDY, then lines PB and HK are parallel.
2. Line AM is the line of intersection between pllanes APBM and AMKH. Since planes APBM || HKDY and parallel planes are cut by plane AMKH, then lines AM and HK are parallel.
3. Line YD is the line of intersection between pllanes HKDY and AMKH. Since planes AMKH || PBDY and parallel planes are cut by plane HKDY, then lines YD and HK are parallel.
4. Lines HA and HK intersect each other at point H, thus they are not parallel.
5. Lines BM and HK are not parallel, because MB || DK and DK intersect HK at point K.
Answer: correct choices are A, B, C.
Answer:
Step-by-step explanation:
10 games, 8 rides
