Step-by-step explanation:
CD is congruent to EB
CD≈EB
Answer: A.) y = 15 B.) (5y + 3)° = 78° (4y + 8)° = 68° and 34°
Steps:
180° - 146° = 34°
180 = 34 + (5y + 3) + (4y + 8)
180 - 34 = (5y + 3) + (4y + 8)
146 = (5y + 3) + (4y + 8)
146 = 5y + 3 + 4y + 8
146 = 9y + 11
146 - 11 = 9y
135 = 9y
135/ 9 = y
15 = y
(5y + 3)
5(15) + 3
75 + 3
78
(5y + 3) = 78
(4y + 8)
4(15) + 8
60 + 8
68
68 = (4y + 8)
Check:
68 + 78 + 34 = 180
180 = 180 ✅
Answer:
V=4/3*3.14*r^3
V=4/3*3.14*3^3
V=113.1
Volume of Himiphere= Volume of sphere/2
113.1/2
V=56.6
Step-by-step explanation:
The answer is 56.6
For the red line, we have:
gradient (

) = 1/3
y-intercept = 3
Equation of straight line is given by

, where

is the gradient and

is where the line intercept the y-axis
So we have,

The shaded part is above the line, hence the first inequality is

The black line, we have
gradient,

= 3
y-intercept = -2


, rearranging gives

The shaded region is to the right of the line, hence the inequality is

Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>