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Gnesinka [82]
3 years ago
15

A lawn is in the shape of a trapezoid with a height of 5050 feet and bases of 3030 feet and 170170 feet. How many bags of fertil

izer must be purchased to cover the lawn if each bag covers 24002400 square​ feet?
Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

Answer: About 3

Step-by-step explanation:

Given : A lawn is in the shape of a trapezoid with  following dimensions :-

Height : h = 50 feet

Bases : a = 30 feet and b=170 feet

Area of trapezoid is given by :-

A=\dfrac{1}{2}(a+b)h\\\\\Rightarrow\ A=\dfrac{1}{2}(30+170)(50)\\\\\Rightarrow\ A=5000\text{ square feet}

Also , it is given that each bag covers 2400 square​ feet.

Then, the number of bags of fertilizer needed = \dfrac{5000}{2400}=2.0833333\approx3

Hence, about 3 bags of fertilizer must be purchased to cover the lawn.

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If the length of room is four times the height and breadth is twice of its height and the volume of the room is 512 m^2 find its
lisov135 [29]

Let  \: x  \: (x>0)  \: be \:  the \:  height \Rightarrow the \: width, length: 2x,4x \\ Volume:V=hwl = 512 \\ \Leftrightarrow x2x4x = 512 \\ \Leftrightarrow 8{x }^{3}  = 512 \\\Leftrightarrow  {x}^{3}  = 64 \\ \Leftrightarrow x = 4 \\ \Rightarrow The \:  height \: is \: 4 \: m, the \: width \: is \: 8 \: m

8 0
3 years ago
3×10+2×1+6×1/100+4×1/1000 is the expanded form of which decimal?
motikmotik
The answer would be 32.064
5 0
3 years ago
Find f(-5) if f(x) = x2 – x + 2.
balu736 [363]
Replace all the x's in the equation with -5. f(5)=(5)2-5+2. > 10-5+2 > 5+2= 7

The Answer is 7
7 0
3 years ago
What is the area of the figure?
Mrrafil [7]

Answer:

The shape has a total area of 14.96cm²

Step-by-step explanation:

To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.

The outer rectangle is 5.6 by 6.4 cm.  To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².

Next the inner rectangle needs to be subtracted.  First though, we need its width, which we're not directly given.

We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle.  All we need to do then is subtract the later from the former to the the inner rectangle's width:

5.6cm - 1.2cm - 0.8cm = 3.6cm

Great!  The inner rectangle has an area of 3.6cm × 5.8cm.  That gives us 20.88cm².

The final step is to subtract that 20.88 square cm from the 35.84 that we already have.  Doing so gives us a result of 14.96cm², and that is the final answer.

5 0
2 years ago
Read 2 more answers
Without subtracting 8.5 - 4.64, determine what digit will be in the hundredths place. Explain
murzikaleks [220]
8.5 is the same as 8.50, right? So just take the digit in the hundredth place of both decimals and subtract. You'd be doing 0-4 so you can go ahead and borrow a number to make 10-4, which equals 6. So without subtracting 8.5 and 4.64, you can determine that 6 will be in the hundredth place. Hope this helps!
3 0
3 years ago
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