Answer:
cos(45°) = (√2)/2
Step-by-step explanation:
The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...
x^2 +x^2 = 1
x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator
x = √(2/4) . . . . . . take the square root
x = (√2)/2 . . . . . simplify
The cosine of 45° is (√2)/2.
The surface area of the regular hexagonal pyramid is
SA = (1/2) pl + B
where p is the perimeter of the base, l is the slant height of the pyramid, and B is the area of the base
The area of a regular hexagon is 3 sh
where s is the length of the side and h is the length of the apothem.
So,
SA = (1/2)(6)(12) (11) + 3(12)(6sqrt3)
SA = 770 square meters
Answer:
4pq(p³+q³)
Step-by-step explanation:
Exactly 5 game would be when 4 wins and 1 loss of a particular person
loss has to be one of the first 4 games
A wins: qp⁴ + pqp³ + p²qp² + p³qp
= qp⁴ + qp⁴ + qp⁴ + qp⁴ = 4qp⁴
B wins: pq⁴ + qpq³ + q²pq² + q³pq
= pq⁴ + pq⁴ + pq⁴ + pq⁴ = 4pq⁴
A wins or B wins:
4pq⁴ + 4qp⁴ = 4pq(q³+p³)
Answer:
If we multiply by cross we got:
We can divide both sides of the last equation by 
and we got:
And if we apply arcsin in both sides we got:
And the best solution would be:
C) pi/2
Step-by-step explanation:
For this case we want to solve the following equation:
And we know that by definition 
And replacing we got:
If we multiply by cross we got:
We can divide both sides of the last equation by and we got:
And if we apply arcsin in both sides we got:
And the best solution would be:
C) pi/2
First, find how many actual empty spaces there are to the ratio of empty spaces. (In other words, divide 63 by 7)
63 ÷ 7 = 9
Now that we know for that there are 9 sets of 7 in 63, multiply 4 by 9 to find the amount of taken parking spaces.
4 × 9 = 36
The unsimplified ratio of empty spaces to take spaces is 63:36. Add these two numbers together to find the total number of spaces.
63 + 36 = 99
<h2>Answer:</h2>
<u>There are </u><u>99 </u><u>total parking spaces.</u>
I hope this helps :)
