Answer: x=(7√6)/2
Step-by-step explanation:
To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.
For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.
Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.
The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.
7√3=x√2 [divide both sides by √2]
x=(7√6)/2
Now, we know x=(7√6)/2.
Answer:
$293,562.707
Step-by-step explanation:
As for the provided details we know,
Janet needs $51,500 from end of 7th year for upcoming 20 years.
The present value of 20 installments of $51,500 shall be @ 6% from year 7 to year 8.0858
Thus total value = $51,500 
8.0858 = $416,418.7
Now the compound interest factor for 6 year @ 6 % = 1.4185
Thus, value to be invested today = $416,418.70/1.4185 = $293,562.707
As this when compounded annually will provide the balance as required at the end of 6 years.
Answer:
54
Step-by-step explanation:
40 ?
--- = -----
100 135
Cross Multiply then Divide.
54
---
135
2+2=4
4+2=6
I hope this helps
Cost per ounce means you take the cost and divide it by the cost:
<span>3.36 / (21/2) </span>
<span>division of fractions changes to the multiplication of the reciprocal: </span>
<span>3.36 * (2 / 21) </span>
<span>3.36 and has 21 as a factor, so let's cancel it: </span>
<span>0.16 * 2 </span>
<span>$0.32 per ounce</span>
