Answer:
6.13
Step-by-step explanation:
Using Sine Law we know that
Using your figure let's assign sides and angles:
A=? B = 60° C = 70°
a = 5 b = ? c = x
If we put that into our formula:
Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?
Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°
∠A + ∠B + ∠C= 180°
∠A + 60° + 70° = 180°
∠A + 130° = 180°
∠A = 180° - 130°
∠A = 50°
Now we can use this to solve for x.
So the closest answer would be 6.13
To look for the area of a sector of a circle, the following formula is used:
Area = ( n / 360 ) * pi * r^2
Where: n = measure of arc in degrees
pi = 3.1416
r = radius
Since we are already given all of the needed parts of the formula, direct substitution is done, as shown below:
Area = ( n / 360 <span>) * pi * r^2
</span>Area = ( 45 / 360 ) *3.1416 * (8)^2
Area = 25.133 in^2
Therefore, the area of the sector of the circle is 25.133 sq. in.
Answer:
65.91078
Step-by-step explanation:
You add the two decimals, that gives you two decimals. Use those two decimals and place them to the right of the answer. =0)
Answer:
Step-by-step explanation:
Given that there are 20 non ionized containers and 73 ionized containers
Two samples are drawn without replacement
a) the probability that the first one selected is not ionized=
b) the probability that the second one selected is not ionized given that the first one was ionized
= When first one was ionized we got left over as 20 and 72
Hence = 
c) If with replacement left over 20 and 73 and hence prob = 0.215 as in part a
d) the probability that both are ionized=
Answer:
117º.
Step-by-step explanation:
Angle 5 is a corresponding angle to angle 1, so therefore if angle 1 is 117º, angle 5 is 117º.
Hope this helps!
