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Bogdan [553]
3 years ago
6

The width of a rectangle is 5 more than twice the length. the perimeter of the rectangle is 28 in. what is the length and width

of the rectangle?
Mathematics
1 answer:
ycow [4]3 years ago
5 0

Perimeter is P = 2l + 2w. From the question you know that w = 2l + 5 and that P = 28. To find l, plug the expression for w into the perimeter equation:

28 = 2l + 2(2l + 5) 

28 = 2l + 4l + 10

28 = 6l + 10

18 = 6l

3 = l

Now find w by plugging 3 into its equation - w = 2(3) + 5. w = 11

Lastly, check your work by plugging everything back into the perimeter equation:  28 = 2(3) + 2(11), which is 28 = 6 + 22. Correct! So the length is 3 in and the width is 11 in.

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It makes it easier to understand math and helps you answer the problem of which math you are doing.

Step-by-step explanation:

They are just a method used to do math

7 0
3 years ago
Miss Clark form has chickens and pigs there are a total of 26 animal feet and a animal head on her form is 20 feet belongs to th
kotykmax [81]

Answer:

There will be 5:3 because pigs have 4 feet each so divide 4 from 20 to get 5, then you divide 2 from 6 because chickens have 2 feet so you put the ratio in order to get 5:3

Step-by-step explanation:

4 0
3 years ago
Carlos has taken an initial dose of a prescription medication.
Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

M(t)=20 e^{-0.86t}

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

8 0
3 years ago
A complex number z=a+bi had an absolute value of 3.28. What could the values of a and b be ? A.a=1.5,b=1.7 C.a=1.7,b=2.8
Levart [38]
The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28

<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
===================================

<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
====================================

<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
====================================

<span>(D) IF ⇒⇒ a=2.8 and b=3.3
</span>
∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
=====================================
So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
4 0
3 years ago
Determine whether 109 is prime, composite or neither
Verdich [7]

prime (not composite) as it can only be divided by 1 and itself

6 0
3 years ago
Read 2 more answers
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