To find value of <em>x</em> we can use the sine angle function. From definition and basics of trigonometry we know that,

In this case our opposite is <em>x</em> and our hypotenuse is <em>15m</em><em> </em>and our angle
is <em>35°.</em>
Therefore,

If we solve for <em>x</em>,

Hope this helps.
<u>r3t40</u>
The answer to the shortcut is 20m
Answer: r= 1.22
Step-by-step explanation:
Formula for amount with simple interest = 
, where
P= principal value , r= rate of interest , t = time.
Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

Formula to compute compound amount : 

When both have same worth then

taking log on both sides , we get

Hence, Value of r= 1.22
Answer:
0.000005178
Step-by-step explanation:
we test for the goodness of fit
h0; drink preferences not changed
h1: drink preferences changed
alpha = 0.05
we solve for the test statistics
the chsquare test was performed in the attachment
Chi square = (O-E)²/E
chisquare = 32.30188
degree of freedom = n -1 = 6-1 = 5
using the chi distribution function on excel i calculated the p value
CHIDIST(32.30188, 5) =
P-value = 0.000005178
pvalue is less than 0.05 so we reject null hypothesis and conclude that there is sufficient evidence that drink preferences are changed.
the chisquare calculation is in the attachment. Thank you!