MAB = 360 - 255 = 105
<ADB = 1/2(mAB) = 1/2(105) = 52.5
Answer
52.5°
<h3>area of shaded figure= </h3>
<h2>area of whole rectangle</h2>
= lengthx breadth=15x30= 450 cm²
<h3>area of unshaded region= lengthx breadth= (30-8)x 15cm²= 22x 15cm²= 330cm²</h3>
<h3>are of shaded region</h3>
= area of whole rectangle -area of unshaded region= 450cm²-330cm²= 120cm²
therefore 120 is correct answer
1)
7/6d+4/3=-1/3
7/6d=-5/3
d=-5/3×6/7
d=-10/7
2)
5 1/2-u=9/4
11/2-u=9/4
22/4-u=9/4
13/4=u
3 1/4=u
3)
-m-7/8=-10
-m-7/8=-80/8
-m=-73/8
m=73/8 or 9 1/8
4)
2/7=4/5+9q
10/35=28/35+9q
-18/35=9q
q=-18/35×1/9
q=-2/35. Hope it help!
Answer:
The variance of the given data is 106.9667
Step-by-step explanation:
The variance, S² of a sample is given by the expression;
Where:
= One of the observations
= The mean of the observations
n = Number in the sample = 6
The mean = Σ/n = (26 + 32 + 29 + 16 + 45 + 19
)/6 = 167/6 = 27.833
Therefore, we have;
S² = ((26 - 27.833)²+(32 - 27.833)²+(29 - 27.833)²+(16 - 27.833)²+(45 - 27.833)²+(19 - 27.833)²)/(6 - 1) = 106.9667.