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: 56.96
Step-by-step explanation: 80.66 - 23.7 = 56.96
HOPE THIS HELP :D
Assuming that x is equal to weekday shows and y is equal to weekend shows, the band will exceed their goal by $150.
To find this, we need to plug 15 in for x and 6 in for y. Then we need to evaluate the equation.
R = 50x + 150y
R = 50(15) + 150(6)
R = 750 + 900
R = 1650
Therefore, we know that they exceeded their goal by $150 by getting the total of $1650.
Answer:
97.6 in^3
Step-by-step explanation:
find the volume of the cylinder and then find the volume of the cone. the formula for the volume of the cylinder is pi*r^2*h. the formula for the volume of the cone is 1/3*pi*r^2*h. r=d/2=4/2=2, h(cylinder)=8, h(cone)=0.7. now just plug these values into the formulas.
cylinder: pi*2^2*8=100.531
cone: 1/3*pi*2^2*0.7=2.932
cylinder-cone= 100.531-2.932=97.599. round to the nearest tenth to get 97.6
B. is the answer if you look closely