Answer:
Step-by-step explanation:
Since this is a right triangle, we will use a right triangle trig identity to solve our problem. The side opposite the reference angle A is given as 5, and the side adjacent to the reference angle is given as 7. The trig ratio that uses the sides opposite and adjacent is the tangent ratio:
Hit the 2nd button on your calculator then the tan button which displays:
Enter 5/7 after that open parenthesis and hit = to get that
A = 35.54°
Answer:
4 bottles
Step-by-step explanation:
Given
Required
Determine the number of bottles
Represent the number of bottles with N
<em>This implies that N bottles of </em><em> fit into </em>
<em> of fertilizer. The relationship between them is:</em>
<em></em>
Multiply through by 8
<em>Hence, there are N = 4</em>
Answer:
4033
Step-by-step explanation:
An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:
a^2 = 2017^4
a = 2017^2
b^2 = 2016^4
b = 2016^2
Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:
<h3>We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by which is just one, and will simplify the fraction to just:
2017^2 - 2016^2
This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:
(2017 + 2016)(2017 - 2016)
And, without using a calculator, this is easy to simplify:
(4033)(1)
4033
