<h2>Question 9:</h2>
1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12
2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).
3. Simplify: 1/2 (12) (44)=1/2(528)=264
Area of whole figure is 264 square mm.
<h2>Question 10:</h2>
Literally same thing but with trigonometry.
1. Use sine to find out length of dotted line: sin(60°)=x/12
2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)
3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²
4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6
5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)
6: Simplify: 1/2 (10.4) (66) =343.2
7: Area of figure is about 343.2
Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.
Answer:
it will be the last one bc 18d is on the chart
Answer:
8 is the GCF so the expression would be: 8(3+2)
Step-by-step explanation:
(The answer would be 40 =)) Good Luck and Have a Great Day!
Answer:
Not sure
Step-by-step explanation:
Answer: 34.965%
Step-by-step explanation:
Number of ways of selecting 8 songs from 14 songs = = 14! / [ 8! × (14-8)! ]
= 14! / (8! × 6!)
= 3003
If you listended to exactly four country songs, then you should listen to four pop songs because you listened to 8 songs
Number of ways of selecting 4 country songs from total 8 country songs
= 8! / [ 4! × (8-4)! ]
= 8! / (4! × 4!)
= 70
Number of ways of selecting 4 pop songs from total 6 pop songs
= 6! / [ 4! × (6-4)! ]
= 6! / (4! × 2!)
= 15
Number of ways of playing 4 country songs and 4 pop songs in total 8 songs = 70 × 15
= 1050
So Probability that you listened to exactly four country songs =1050/3003
= 0.34965
= 34.965%
