Define unit vectors along the x-axis and the y-axis as

respectively.
Then the vector from P to Q is

In component form, the vector PQ is (-8,5).
The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434
Answer:
The vector PQ is (-8, 5) and its magnitude is √89 (or 9.434).
The shape shown here is a pentagonal pyramid, because it has a pentagonal base and a pointy tip.
Answer:
(4) 0
Step-by-step explanation:
<u>Given:</u>
- cos²27°×cos²34°×...×cos²167 = ?
<u>Looking at the angles measures, they form series of: </u>
This is AP with the first term of 27 and common difference of 7
<u>We can see one of the terms of this AP is 90</u>
Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.
<u>So correct answer choice is</u> Option 4) 0
Answer:
The probability is 7/36
Step-by-step explanation:
In this question, we are tasked with calculating the probability that when we roll two fair dice, the sum of two numbers on both dies equal to 5.
Before we go on answering the question, we need to know the number of elements in our sample space. What this means is that we need to know the number of results we can have. The total number of results we can have is 6 * 6 = 36
Now, the next thing to know is how many of our results would yield a multiple of 5 each. Now let’s look at the attachment for the tabular representation we have.
Now, looking at our table, we can see that we have 7 circled results where we have a possibility of a multiple of 5.
The probability is thus the number of these additions divided by the total number of outputs= 7/36