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nydimaria [60]
3 years ago
12

In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm

. Which compound inequality represents the situation?
Mathematics
2 answers:
hram777 [196]3 years ago
8 0

Answer:

4

Step-by-step explanation:

We have been given that the radius of the gear, r, must be greater than 4 cm.

We can represent this information in an inequality as:

r>4

We are also told that the gear must not exceed 4.1 cm. We can represent this information in an inequality as:

r\leq 4.1

Upon combining both inequalities, we will get:

4

Therefore, our required inequality is 4.

Arturiano [62]3 years ago
6 0
I’m pretty sure it’s 4 < r < 4.1
Please comment if you have any questions.
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Perpendicular lines intersect to form four right angles. never always sometimes
natima [27]

Answer:

Always

Step-by-step explanation:

The definition of a perpendicular line is that it intersects another at a 90 degree angle. Using this, by verticals, the opposite corner angle must also be 90-degrees, and since one side of a line is 180 degrees, 180-90 = 90, which ensure the rest of the angles will be 90 degrees too.

3 0
3 years ago
Read 2 more answers
In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.
Tamiku [17]

Answer:

a) f(s)=\frac{-11}{3}s+\frac{3245}{3} f(1)=1078 stores b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

a)

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}

s=1 in 2003

s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078

b) For 2012, s=9. For 2014, s=11

\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

4 0
3 years ago
What is 7.24 divided by 7
KiRa [710]
<span>What is 7.24 divided by 7

</span><span>that would be >>>>>>>>>1.03857142857</span>
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Depends on how the papers are connected. if they are connected with the 7cm side joining each other, use solution one. if they are connected with the 9cm side joining each other, use solution two.


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left over= 144-68
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OR


perimeter of edges of sign= 2[(7x3)+9]
= 60 inches

left over= 144-60
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