For each coin, there are <u>2 outcomes</u>, heads (H) or tails (T), so for the <u>3 coins</u>, the number of outcomes are:
2 x 2 x 2 = <u>8 outcomes:</u>
HHH / HHT / HTH / THH / TTT / TTH / THT / HTT
Out of all these outcomes, there are <u>3 ways</u>, we get exactly 2 Heads:
HHT / HTH / THH
So, the probability of exactly 2 coins landing on Heads is 3/8, or 0.375
Answer:
$160
Step-by-step explanation:
Part A-
Step 1: 6(2k+5) - 20
Step 2: 6(2k) + 6(5) - 20
Step 3: 12k + 30 - 20
<h2><u>
12k + 10</u></h2><h2><u>
</u></h2><h3>Part B-</h3><h3>12(12.50) + 10</h3><h3>150 + 10</h3><h2><u>$160</u></h2>
Supplementary means that the angles have to add up to 180, so you have your equation.
180=5x+17x-18
198=22x
x=9
Then to find the measures of the angles, you plug x back in.
m∠ABD=5(9)=45 degrees
m∠BDE=17(9)-18=153-18=135 degrees
Answer:
1.A,B,C,D
2. AB, CD
3. AC, BD
4. Line AD (don't take my word for this one)
Step-by-step explanation:
A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.
