Law of sines can be used to solve this problem:
(note - let x represent the missing side length.)
1. set up proportion.
sin 90°/25 = sin 55<span>°/x
2. solve.
(x) sin 90</span>° = (25) sin 55<span>°
(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5
Answer:
41/4 remainder is 1
Step-by-step explanation:
10 is the answer
Your answer would be 24, so you got it right.
This is because you need to find the lowest common multiple of 6 and 8, that is, the lowest number that divides by both 6 and 8.
We can do this by either writing out the multiples of 6 and 8 until you find a common one, or you can find the prime factors of 6 and 8 and multiply them:
6-> 3 × 2
8-> 2 × (4)->2 × 2
So we would need to do 3 × 2 × 2 × 2 = 3 × 8 = 24
I hope this helps!
Answer:
LCM (8,10) = 2 × 2 × 2 × 5 = 40
Step-by-step explanation:
Least common multiple is the smallest number that is multiple of both the given numbers.
Example: LCM of 2 and 3 is 6 .
6 is a multiple of both 2 and 3 .
Given numbers are 8 and 10
First write both in factor form,
⇒ 8 = 2 × 2 × 2
⇒ 10 = 2 × 5
We find LCM by writing common terms one times and multiplying all terms together,
Here, 2 is common to both 8 and 10 so we write it once only.
Thus, LCM (8,10) = 2 × 2 × 2 × 5 = 40.
Answer:
$9 in change
Step-by-step explanation:
Find the total cost of his purchases:
28 + 28 + 85
= 141
Find how much change he received by subtracting this from 150:
150 - 141
= 9
So, he should have received $9 in change