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Artemon [7]
3 years ago
12

.07x+.09y=4000 x+y=404.2

Mathematics
1 answer:
klasskru [66]3 years ago
4 0
Times first equation by 100
7x+9y=400000

multiply second equation by -7
-7x-7y=-2829.4

add to other equation

7x+9y=400000
<u>-7x-7y=2829.4 +</u>
0x+2y=397170.6

2y=397170.6
divide by 2
y=198585.3
sub back

x+y=404.2
x+198585.3=404.2
minus 198585.3 both sides
x=-198181.1

(-198181.1, 198585.3)
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The diameter of a circle is 6 in. Find its area to the nearest tenth.
Marrrta [24]

Answer and Step-by-step explanation:

The area formula for a Circle is:

A = \pi r^2

Diameter is equal to the radius times 2.

<u>So, divide the diameter to get the radius.</u>

6 divided by 2 equals 3.

<u>Now, plug it into the formula.</u>

A = \pi (3)^{2}

A = 9\pi

Plug this into your calculator by multiplying 9 by pi.

<u>We get the answer to be 28.3 when rounded to the nearest tenth.</u>

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8 0
3 years ago
Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A
iVinArrow [24]

Answer:

The answer is below

Step-by-step explanation:

We need to prove that:

(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.

Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.

Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A

\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA

7 0
3 years ago
What is 0.5 repeating as a fraction in simplest form
Solnce55 [7]

Answer:

5/9

Step-by-step explanation:

Start be letting x = 0.555...

Our original equation is:

x = 0.555...

There is only one digit repeating, the 5, so we multiply both sides of that equation by 10 and write it above the original equation.

10x = 5.555...

   x = 0.555...

Now we subtract the second equation from the first equation as written above.

9x = 5

Divide both sides by 9.

x = 5/9

0.555... = 5/9

6 0
3 years ago
2z- 13 6/7<br><br> Help fast!!!!
erastova [34]
If you are factoring then the answer is 1/7 x (14z-97) but if your simplifying then it’s 2z- 97/7
3 0
2 years ago
Shawntell is training for a relay race. She ran 2000 feet every day for 6 days.
Elena-2011 [213]

Answer:

12,000

Step-by-step explanation:

2000*6 is 12000

Hope this helps plz hit the crown :D

5 0
3 years ago
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