Answer:
759 square foot garden
Step-by-step explanation:
L= length
W= Width
Perimeter = 2(L + W)
112 = 2(L + W)
divide both sides by 2 and you get
56 = L + W
L=33
W=23
174 is the missing number
We are given that the angle a is the right angle. So let
us work from this.
ab = 12 (the vertical side of the triangle)
bc = 13 (which if drawn can be clearly observed to be the
hypotenuse) = the side opposite to angle a
ca = 5 (the horizontal side of the triangle)
Since we are to find for the cosine ratio of angle c or
angle θ, therefore:
cos θ = adjacent side / hypotenuse
cos θ = ca / bc
cos θ = 5 / 13
Check out the attached image below for the illustration
of the triangle.
To answer this problem, one way is to use the calculator and add directly the two numbers and get the average between the two. The answer is 25/77. We can also get this number by getting the LCM of the denominators which is 77. 2/7 is equal to 22/77 while 4/11 is equal to 28/77. 0.5*(22 +28) is equal to 25. Hence the answer is 25/77.
Answer:
The number of ways to select 5 diamonds and 3 clubs is 368,082.
Step-by-step explanation:
In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.
Compute the probability of selecting 5 diamonds and 3 clubs as follows:
The number of ways of selecting 0 cards from 13 hearts is:

The number of ways of selecting 3 cards from 13 clubs is:

The number of ways of selecting 5 cards from 13 diamonds is:

The number of ways of selecting 0 cards from 13 spades is:

Compute the number of ways to select 5 diamonds and 3 clubs as:

Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.