Answer: 150
We know that cos Ф = sin (90 - Ф)
If Ф = 150, then:
cos 150 = sin (150 - 90)
cos 150 = sin 60
Using the equation they gave us:
cos 150 = sin ( 
- 10)
cos 150 = sin 60
Answer:
Julie's score is 15.
Step-by-step explanation:
This can be solved in two ways:
⇒ 120 ÷ 8
⇒ Experimentation on what × 8 = 120 (adding random numbers until you get 120 as a product).
Let's use the first method.
⇒ 120 ÷ 8
1 5
__________
8 | 1 2 0
- 8
____
4 0
- 4 0
____
0
Therefore, Julie's score is 15.
<h3>
Answer: 2</h3>
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Explanation:
If a number only has one factor pair, then that number must be prime. This is because prime numbers only have factors of 1 and the number itself.
For instance, the value 7 is prime because the only factors of this are 1 and 7.
For something like the number 32, it is composite and not prime because it has the factors {1,2,4,8,16,32} and it leads to these three factor pairs: 1*32, 2*16, 4*8. This is one example showing why the answer isn't composite.
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Let's say that p is the unknown prime we want to find. The factors of this are 1 and p. We're told that "one of the factors is twice the other factor", so that must mean p = 2*1 = 2. We can see that 2 is twice that of 1.
Answer:
0.81
Step-by-step explanation:
The letters between L and P are M,N,O.
It is inclusive, so we have 5 letters L,M,N,O,P.
The letters which we can choose we have 26-5=21.
The probability to choose a letter not between L and P is 21/26=0.81
The solution is 0.81, ie,
You have 81% chance to choose latter not between L and P.
Since 45 = 45
then the two other sides are equal
(15)^2 = (side)^2 + (side)^2
225 = 2 (side)^2 divide 2 to both sides
112.5 = (side)^2 square root
side = 10.6
this is my answer
