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Schach [20]
3 years ago
8

HELP ASAP TEST IS OMOST OVER!!!!!!!!!!

Mathematics
2 answers:
svet-max [94.6K]3 years ago
4 0

Answer: C)46 ft

Step-by-step explanation:

We know that the circumference of a circle can be calculated with this formula:

C=2\pi r

Where "r" is the radius of the circle.

Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:

Fencing=\frac{2\pi r}{2}+2l+w

Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.

Since we know that the radius of the circle is half its diameter, we can find "r". This is:

r=\frac{7ft}{2}=3.5ft

Then, substituting values (and using \pi=\frac{22}{7}), we get:

Fencing=\frac{2(\frac{22}{7})(3.5ft)}{2}+2(14ft)+7ft=46ft

arlik [135]3 years ago
3 0

The answer is C) 46ft

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Step-by-step explanation:

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Are these right? How do the parentheses make these two answers different?
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Read 2 more answers
The pep club and honor society are joining forces to raise money for school improvements.
Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

x+y\geq 500 ----> inequality A

The solution of the inequality A is the shaded area above the solid line x+y=500

x\geq 100 ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line x=100

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club  was $300 and the donations raised by the honor society was $100

The point  (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=300, y=100  

<em>Inequality A</em>

300+100\geq 500      

400\geq 500  ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution  

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club  was $500 and the donations raised by the honor society was $200

The point  (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=500, y=200  

<em>Inequality A</em>

500+200\geq 500      

700\geq 500  ----> is true

The ordered pair satisfy the inequality A

<em>Inequality B</em>

500\geq 100 ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution  

3 0
3 years ago
Evaluate the trigonometric ratio​
vfiekz [6]

Answer:

1

Step-by-step explanation:

Given \lim_{x \to 0} \frac{sinxcosx}{x}

multiply the numerator and denominator with 2

we get \lim_{x \to 0} \frac{2sinxcosx}{2x}

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\lim_{x \to0} \frac{sin2x}{2x}

Now consider y=2x

As x→0 2x→0 y→0

Now limit changes to

\lim_{y \to0} \frac{siny}{y}=1

8 0
2 years ago
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