A ball is drawn at random from a container that holds 8 yellow balls numbered 1 to 8, 6 orange balls numbered 1 to 6, and 10 gra
1 answer:
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Answer:
The distance of flag post from Y is 38.13 m
Step-by-step explanation:
Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.
Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.
Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.
Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,
Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,
Refer attachment 1.
From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.
∠YFX+∠FYX+∠FXY=180°
∠YFX+50°+72°=180°
∠YFX=58°
Refer attachment 2.
Now the distance FY can be calculated using sin rule as follows,
Substituting the values,
Simplifying first two terms,
Cross multiplying,
m
Answer:
There are total 5 layers.
Step-by-step explanation:
A multi-layer cake is in the shape of a right cylinder.
Height of the cake is = 20 cm
Radius is = 10 cm
Each of the cake layers has a volume of approximately 1,250 cm³.
Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.
Volume of the cylinder is given as:
h = 3.98 or approximately height of 1 layer is 4 cm.
As the cake's height is 20 cm so, there are layers in the cake.
Answer: There are 5 layers in the cake.