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Aliun [14]
2 years ago
13

What is the area of a regular pentagon if its apothem has a length of 4 feet and each side has a length of 5.8 feet?

Mathematics
1 answer:
fredd [130]2 years ago
5 0
the answer is at least i think B
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2 years ago
A physicist working in a large laboratory has found that light particles traveling in a particle accelerator
Tomtit [17]

The particle will reach 50 km/hr when x = 32.25 hours

Step-by-step explanation:

A physicist working in a large laboratory has found that light particles

traveling in a particle accelerator  increase velocity in a manner that

can be described by the linear function - 4 x + 3 y = 21, where

  • x is the time in hours
  • y is the velocity in kilometer per hour

We need to find when a certain particle will reach  50 km/h

∵ - 4 x + 3 y = 21 is a linear function

∵ x represents the time (number of hours)

∵ y represents the velocity in km/h

∵ The velocity of a particle will reach 50 km/h

- Substitute y by 50 in the function above

∴ - 4 x + 3(50) = 21

∴ - 4 x + 150 = 21

- Subtract 150 from both sides

∴ - 4 x = -129

- Divide both sides by -4

∴ x = 32.25 hours

The particle will reach 50 km/hr when x = 32.25 hours

Learn more:

You can learn more about word problems in brainly.com/question/9533500

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8 0
3 years ago
12x−39≤9 AND−4x+3&lt;−6, just solving for x<br><br> please answer ASAP
kari74 [83]

<u>Answer:</u>

Solving for x in 12x − 39 ≤ 9 and −4x + 3 < −6 we get 2.25 < x ≤ 4

<u>Solution</u>:

Need to find the value of x which satisfies following two given expressions

12x − 39 ≤ 9      ------(1)

−4x + 3 < −6     ------ (2)

Lets first solve expression (1)

12x − 39 ≤ 9  

Adding 39 on both sides , we get

12x−39 + 39  ≤ 9  +39

=>12x ≤ 48

=> x  ≤ 48/12

=> x ≤ 4    

Now solving expression (2)

−4x+3<−6      

=> -4x < -6 – 3

=> -4x < -9  

=> 4x > 9

=> x > 9/4

=> x > 2.25

So from solution of expression (1) and (2) , we get x ≤ 4   and x > 2.25

Hence required value of x is 2.25 < x ≤ 4.  

7 0
3 years ago
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