Answer:
Step-by-step explanation:
First you need the third angle (C).
<C + 89 + 45 = 180 All triangles = 180 degrees. Combine the left terms.
<C + 134 = 180 Subtract 134 from both sides
<C = 180 - 134
<C = 46
Next, Let BA = x
x/Sin(46) = 15/Sin(89)
x = 15*sin(46) / Sin(89)
Sin(46) = 0.7193
Sin(89) = 0.9998
x = 0.7193 * 15 / 0.9998
x = 10.7911
Note
When you are studying this material, you should note 2 things.
- The first is that you are dealing with 2 ratios that are equal to each other.
- The second is, the side is always opposite the angle in the triangle. The two are connect. Side c = 15. It is opposite the 89o angle.
Answer: 200
Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200
To solve this we must first add up all the values.
3.29+1.28+2.49+1.59=8.65
$8.65 is our total.
Now we find 8% of the total amount. In order to do this we must first find the decimal form of the percent. It's quite simple all we have to do is move the decimal point two spaces forward. We add a 0 in front of the decimal point after that.* (True for all one digit percents)*
8.00%+ 2 spaces forward = 0.08
Then we simply multiply the percent times the total amount.
$8.65*0.08=0.69
We add the last value to the total amount and we have our answer.
$8.65+0.69=$9.34
The total amount benjamin is going to pay is $9.34 (including tax)
Hope this helps and have a great day!
i²=-1
It"s a basic result of complex number :)
Answer:
P(B)=0.30
Step-by-step explanation:
Out of 1000 Voters, 30% favor Jones.
Event S=Favors Jones on First Trial
Event B=S occurs on Second Trial
P(S)=0.30
P(S')=1-0.30=0.70
Event B could occur in two ways
- The first two trials are a success
- The first trial is a failure and the second trial is a success.
Therefore,
P(B)=P(SS)+P(S'S)
=(0.3X0.3)+(0.7X0.3)
=0.09+0.21
=0.3
Therefore, the probability of event B(that event S occurs on the second trial), P(B)=0.30.
