<span>First, we determine the factors of 45. We can immediately note that 45 is the product of 9 and 5. Out of 9 and 5, 9 can further be expressed into the product of 3 and 3. The prime factorization therefore is,
45 = 3 x 3 x 5
Since the factors in the right-hand side of the equation are already prime numbers then, this factorization can no longer be written in simpler forms.</span>
It is 12 - 2/3 = 18, then solve :)
hope that helps :D
This would depend on what you are asking for.
If you are adding the two numbers(which the word and is implying) you’re answer is 25 1/4.
You get this by finding a common denominator. In this case, that can be 4.
Turn 1/2 in to 2/4.
Next, you add 11 and 13 to get 24.
Then, you’ll add 2/4 and 3/4. You will get 1 1/4
Add 24 and 1 1/4. You have your answer of 25 1/4
<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>