Step-by-step explanation:
So you have 31/40
3/4=30/40 (multiply by 10/10)
4/5=32/40 (multiply by 8/8)
So, there you have it, 31/40 is right in between those two.
turn it into decimal format. just do the division,. 31 divided by 40 = .775 and 3 divided by 4 = .75 and 4 divided by 5 = .8. all you have to do is the division and once it is in decimal format you can tell which is greater. hope this helps
M<BFG = 1/2(arcGB + arcCD)
answer is A. first one.
First, find the area of the tiles. 6 in. * 13 in. = 78 in^2.
Then divide the area of the floor by the area of the tiles.
8500 / 78 = 108 38/39
Answer:
a). total length of rope=132 m
b). total cost of the rope=$528
Step-by-step explanation:
Step 1
To get the total length of rope needed to cover the circular garden twice, we express this as;
P=πD
where;
P=perimeter
π=pi
D=diameter
In our case;
π=22/7
D=21 m
replacing;
P=(22/7)×21=66 m
2×P=2×66=132 m
total length of rope=132 m
Step 2
The expression to calculate the total cost can be written as;
total cost=cost per meter length×total length of rope
where;
cost per meter=$4
total length of rope=132 m
replacing;
total cost=4×132=$528
total cost of the rope=$528
Answer: The length is 6 feet and the width is 10 feet.
Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.
We can now write an equation for the area of the rectangle as follows;
Area = L x W
60 = (W - 4) x W
60 = W^2 - 4W
If we rearrange all terms on one side of the equation, we now have
W^2 - 4W - 60 = 0
This is a quadratic equation and by factorizing, we now have
(W + 6) (W - 10) = 0
Hence,
Either W + 6 = 0 and then W = -6
Or W - 10 = 0 and then W = 10
We know that the side of the rectangle cannot be a negative value, so we go with W = 10.
Having calculated W as 10, the length now becomes
L = W - 4
L = 10 - 4
L = 6
Therefore, length = 6 feet and width = 10 feet