Answer:
The length of x in #1 is 15.57
Step-by-step explanation:
Let's use #1 as an example to teach show you how to do this. In a right triangle we can solve these using trig. In this particular one, we have the measure adjacent to the angle and we are looking for the one opposite of the angle. So we look at all the trig functions and select the one that uses both of those two terms.
Sinα = Opp/Hyp
Tanα = Opp/Adj
Cosα = Adj/Hyp
As you can see, Tan is the function we are looking for. So we plug in all known information into that equation.
Tanα = Opp/Adj -----> Plug in known values
Tan(60) = x/9 ----->Calculate out the trig function
1.73 = x/9 -----> Multiply by the denominator to solve
15.57 = x
Answer:
<em>The new mixture is 49% peanuts.</em>
Step-by-step explanation:
The first batch of 9 lb of mixed nuts contains 55% peanuts. This means the quantity of peanut is:
9*55/100=4.95 lb
The second batch of 6 lb of mixed nuts contains 40% peanuts. This means the quantity of peanut is:
6*40/100=2.4 lb
The total quantity of peanut in the mix is
4.95 lb + 2.4 lb =7.35 lb
There are 9 lb + 6 lb = 15 lb of mix. Thus, the percent of peanut in the mix is:
7.35 / 15 * 100 = 49%
The new mixture is 49% peanuts.
Answer:
Step-by-step explanation:
<u><em>(1). 2 m / s²</em></u>
<u><em>(2). 0 m / s²</em></u> { Change from the previous section is - 2 m / s² }
<u><em>(3). - 8 m / s²</em></u> { Change from the previous section is - 8 m / s² }
<u><em>(4). - 1 m / s²</em></u> { Change from the previous section is + 7 m / s² }
<u><em>(5). 0 m / s²</em></u> { Change from the previous section is + 1 m / s² }
We know 4.5 cm = 45 mm so all we have to do is 45 mm*5 to get 225 meters. Your answer would be: This is actually 225 meters. Hope this helps!
So the formula for finding the area of a cylinder is
. r=radius. If we put the numbers into the equation it is
We get 6 as the radius because half of 12 is 6. 6 squared is 36 and 6*14= 84. So our equation is now
. 2*pi=6.28318530718 but let's round that to 6.283. So now our equation is much simpler 6.283(36)+6.283(84). Just multiply them. 226.188+527.772= 753.96 is your final answer.
