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lesya [120]
4 years ago
10

Nathan is building a toolshed with a rectangular floor. The area of a rectangle is given by the formula l⋅w l⋅w , where l repres

ents the length, and w represents the width. The floor of the shed will have measurements of either l=8 l=8  and w=6 w=6  or l=7 l=7   and w=7 w=7 . What is the area of the larger floor?
Mathematics
1 answer:
Flauer [41]4 years ago
7 0
To compare the values,you must first calculate each given situation. The area of any given rectangle is length times width.

a) if w=6 and l=8
   A= l*w = 8*6 = 48

b) if w=7 and l=7
  A= l*w = 7*7 = 49

Therefore, the second case would yield a larger area. The answer would be w=7 and l=7. Total area would be 49 square units.
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HELP ME PLEASE!
shusha [124]

Answer:

Part A) The probability is closer to 0, because is less than 50%

Part B) The probability is closer to 1, because is greater than 50%

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}

Part A) Is the probability of hitting the black circle inside the target closer to 0 or 1?

In this problem we have

x------> is the area of the black circle

y------> is the total area of the square target

<em>Find the area of black circle</em>

r=3/2=1.5\ units    

x=(3.14)(1.5)^{2} =7.065\ units^{2}

<em>Find the total area of the square target</em>

y=9^{2}=81\ units^{2}

Find the probability

P=\frac{7.065}{81}=0.0872

Convert to percentage

0.0872*100=8.72\%

The probability is closer to 0, because is less than 50%

Part B) Is the probability of hitting the white portion of the target closer to 0 or 1?

In this problem we have

x------> is the area of the white portion of the target

y------> is the total area of the square target

<em>Find the area of the white portion</em>

The area is equal to the area of the square minus the area of the circle

x=81-7.065=73.935\ units^{2}

Find the probability

P=\frac{73.935}{81}=0.9128

Convert to percentage

0.9128*100=91.28\%

The probability is closer to 1, because is greater than 50%

4 0
3 years ago
To the nearest hundreth, what is the circumference of a circle with a radius of 7 units?​
Nataly_w [17]

Answer:153.94

Step-by-step explanation:circumference is πr^2

π × 49 = 153.93804

Nearest hundredth count two digits after the decimal(to make an hundredth), then round off with the third number

6 0
3 years ago
Is the golden ratio a coincidence or grand design
DENIUS [597]
The Golden number is one of the roots of x²-x-1=0 and x = (1+√5)/2= 1.618
It's just a mathematical constant you can come across in trigonometry, geometry, sequence like Fibonacci and others. You may find it in fractals also and in many shapes in the nature but not necessarily always true.

It might be a coincidence in some natural shapes, but definitely it is a recognized math contant useful in many math domains

3 0
3 years ago
How do you find and triangles area? please step by step :]​
Vladimir79 [104]
A = ½ (b × h) is the formula! Let me know if I can help further:)
3 0
3 years ago
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20/4+8/3 answer? I don’t get the question
Bumek [7]

Answer:

Step-by-step explanation:

if you need to add 2 fractions

20/4+ 8/3

common denominator is 12

60/12+32/12=92/12= 7 8/12  =7 2/3

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