Answer:
angle CBE=15 degrees
Step-by-step explanation:
angle ECD is 60 degrees and EC=CD because equilateral triangle
angle DCB is 90 degrees and CB=CD because square
angle ECD +angle DCB= angle ECB
60+90=150=angle ECB
since triangle ECB has legs EC and CB equal in length, then it is an isosceles triangle.
so angles CBB and CBE are equal
angle CBE=(180-150)/2
angle CBE=15 degrees
Answer with explanation:
Data set Showing number of times seventh period class attended a summer camp since first grade:
3, 1, 0, 4, 1,⇒⇒Mean =1.8
4, 2, 3, 0, 5,⇒⇒Mean =2.8
0, 1 , 1, 2, 0,⇒⇒Mean =0.8
4, 1, 4, 4, 2,⇒⇒Mean =3
3, 2, 0, 1, 4⇒⇒Mean =2
⇒≡Mean of a Data set is sum of all the variate in data set divided by total number of Variate in the data set.
Range of the sample Means of a data set is difference between Maximum value of variate in the data set and Minimum value of Variate in Data set.
Maximum Value in the sample mean = 3
Minimum Value in the sample mean = 0.8
⇒Range = Maximum value of mean - Minimum value of mean
= 3 - 0.8
= 2.2
⇒≡None of the option given, matches with the value of range Calculated.
Treat the ottoman as a cylinder.
area of the top surface is πr²=π*16²
The total lateral area (the side) is: π*d*h=2*16*π*(6+8)=28*16π (diameter is twice the radius, so d=2*16)
the area of the green part is: π*d*8=2*16**8π=16*16π
not including the bottom, the total area is the top plus the total side:16²π+16*28π=(16+28)*16π=44*16π
the percent of the green part is: 16²π/44*16π=16/44≈36%
Is 36% a choice?
Answer:
x=-3
Step-by-step explanation:
Given: 2(x+1)=3x+5
Distributive Property: 2x+2=3x+5
Subtract 2x on both sides: 2=x+5
Subtract both sides by 5: x=-3
Therefore, x=-3
