When a shape is scaled up, the sides increase or decrease. However, the angles stay the same, so the angles would still be 53 and 82 degrees.
Cos(theta)=-0.96 <0
=>
theta is either in the 2nd or third quadrant.
cos(theta)=-0.96
=>
sec(theta)=1/cos(theta)=-1/0.96 <0
Given sec(theta)(sin(theta)>0
=> cos(theta)sin(theta)>0
=> cos(theta) and sin(theta) have the same sign,
=> sin(theta)<0
=>
theta is in the third quadrant. => tan(theta)>0
Given cos(theta)=-0.96
=>
|sin(theta)|=sqrt(1-(-0.96)^2)=sqrt(0.0784)=0.28
=> sin(theta)=-0.28
Finally,
tan(theta)=sin(theta)/cos(theta)=-0.28/-0.96
=7/24
=0.29167 (to the fifth decimal place)
Answer:
The sample size 'n' = 384
Step-by-step explanation:
<u>Step(i)</u>:-
Given data the margin of error = 0.05
The margin of error of the estimation of a population proportion is determined by
<u><em>Step(ii)</em></u>:-
In data not given sample proportion 'p' but
we know that 
cross multiplication, we get
0.05 ×√n = 0.98
<em>squaring on both sides, we get</em>
<em>n = 384.16≅ 384</em>
<u><em>Final answer</em></u><em>:-</em>
<em>The sample size 'n' = 384</em>
Answer:
30-6x=12
Step-by-step explanation:
30 (was the original)-6(the amount of coffee)x(the price of each coffee)=12(the remaining amount after those 6 cups)
hope this helps!!
If you only have two of the six measures of a triangle, you cannot find the others. You need at least 3 measures, including at least one side, in order to solve a triangle.
You can always use the Law of Cosines (if you have sufficient information), or the Law of Sines (if you have sufficient information).
