Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:
The answer is 
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:
<em>rounding to the nearest whole number, it is </em>151 units^2
<u>Given</u>:
If you are dealt 4 cards from a shuffled deck of 52 cards.
We need to determine the probability of getting two queens and two kings.
<u>Probability of getting two queens and two kings:</u>
The number of ways of getting two queens is 
The number of ways of getting two kings is
Total number of cases is 
The probability of getting two queens and two kings is given by
Substituting the values, we get;
Simplifying, we get;
Thus, the probability of getting two queens and two kings is 0.000133
The measure of angle E is (b) 50°
<h3>How to determine the angle measure?</h3>
The given parameters are:
- ΔCAB is similar to ΔCED
- AB and ED are parallel
The similarity of the triangles implies that:
- angle C = angle C
- angle A = angle E
- angle B = angle D
From the figure, we have:
angle A = 50
Substitute angle A = 50 in angle A = angle E
angle E = 50
Hence, the measure of angle E is (b) 50°
Read more about similar triangles at:
brainly.com/question/14285697
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Answer:
the missing number is 84
Step-by-step explanation:
Let the missing number be represented by N. Then we have ...
7*3 = N*3/(4*3)
Canceling common factors on the right, we have ...
7*3 = N/4
Multiplying by 4 gives ...
4*7*3 = N = 84
The missing number is 84.
