Answer:
Step-by-step explanation:
<u>The circle has a circumference:</u>
This the is arc of full length θ = 360°
<u>Each degree of arc length is:</u>
- s = 2πr*θ / 360 = πrθ / 180
<u>We have:</u>
<u>The arc length is:</u>
- s = π*6*25/180 = (5/6)π inches terms of π
<u>The same arc is:</u>
- s = (5/6)*3.14 = 2.62 inches (rounded)
Answer: £5.39
Step-by-step explanation:
500g strawberries = 4.10
100 g = 0.82
300g = 2.46
400g raspberries = 7.46 - 2.46 = 5.00
100g = 1.25
300g = 3.75
200g strawberries = 0.82 * 2 = 1.64
3.75 + 1.64 = 5.39
The volume of the Tiny's tank will be equal to V=7760 cubic inches.
<h3>What is volume?</h3>
Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube and for the cone it will be radius and height.
It is given that:-
The tank is 16 inches tall.
The area of the tank is 485 square inches
So the volume of the tank will be:-
V= πr²h
V=Area x h
V= 485 x 16
V= 7760 cubic inches
Therefore the volume of the Tiny's tank will be equal to V=7760 cubic inches.
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Answer:
EG = 16 and FH =22
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other
so 2a = 3b+2
and 2a+3 = 6b-1
We know have a system of equations to solve
2a = 3b+2
2a+3 = 6b-1
Subtract 3 from each side
2a+3-3 = 6b-1-3
2a = 6b -4
Now we can set the 2 equations equal ( 2a = 3b+2 and 2a = 6b -4)
3b+2 = 6b-4
Subtract 3b from each side
3b-3b+2 = 6b-3b-4
2 = 3b-4
Add 4 to each side
2+4 = 3b-4+4
6 = 3b
Divide by 3
6/3 = 3b/3
2 =b
We want to find a
2a = 3b+2
Substitute in b=2
2a = 3(2) + 2
2a = 6+2
2a =8
Divide by 2
2a/2 =8/2
a = 4
Now that we know a and b
EG = 2a + 3b+2
= 2(4) + 3(2)+2
= 8+6+2
= 16
FH = 2a+3 + 6b-1
= 2(4) +3 +6(2)-1
= 8+3+12-1
= 23-1
= 22