Let's make another angle y
Where y= 51° (corresponding angles )
and x+y= 180°. ( linear pair )
x+51°= 180° (y=51°)
x=180°-51°
x= 129°
<u>So the value of x is 129</u>°
Hope you got your answer !
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
Answer:
Surface area of the wood to be painted = (
+ r
)
- 16
Step-by-step explanation:
Surface area of a cone is given as the sum of the surface area and the area of its base.
i.e Surface area = 
+
Lr
where: L is the length of its slant height and r is the radius.
Applying the Pythagoras theorem,
L = 
Thus,
Surface area =
r (r +
)
The given cylindrical hole has a radius of 4 cm and depth 2 cm.
The area of one of its circular surfaces = 

=
× 
= 16

The surface area of the piece of wood to be painted = surface area of cone - area of cylindrical circular surface.
Surface area of the wood to be painted =
r (r +
) - 16
<u>Define x:</u>
Let Fred had x dollar.
Fred = x
Greg = x + 17
<u>Solve x :</u>
x + x + 17 = 85
2x + 17 = 85
2x = 68
x = 34
<u>Find the amount each of them had:</u>
Fred = x = $34
Greg = x + 17 = 34 + 17 = $51
Answer: Greg had $51