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svp [43]
3 years ago
9

At a camground, a rectangular fire pit is 6 feet by 5 feet. What is the area of the largest circular fire that can be made in in

ches
Mathematics
1 answer:
____ [38]3 years ago
5 0

Answer:

19.625 feet²

Step-by-step explanation:

Max diameter = 5 feet

Radius = 2.5 feet

Area = 3.14×2.5² = 19.625 feet²

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Find the solution of the system of equations.<br> 15x – 4y = -50<br> 3x – 2y = –16
rusak2 [61]

Answer:

x=-2, y=5. (-2, 5).

Step-by-step explanation:

15x-4y=-50

3x-2y=-16

---------------

15x-4y=-50

-5(3x-2y)=-5(-16)

------------------------

15x-4y=-50

-15x+10y=80

-------------------

6y=30

y=30/6

y=5

3x-2(5)=-16

3x-10=-16

3x=-16+10

3x=-6

x=-6/3

x=-2

7 0
2 years ago
Prove this trigonometric equation;<br><br> - tan^2x + sec^2x = 1,
alekssr [168]
Hey there :)

- tan²x + sec²x = 1    or    1 + tan²x = sec²x

sin²x + cos²x = 1 
Divide the whole by cos²x

\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}

\frac{sinx}{cosx} = tanx so \frac{sin^2x}{cos^2x} = tan^2x
and
\frac{1}{cosx} = secx so \frac{1}{cos^2x} = sec^2x

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

3 0
3 years ago
An icecube is made of 5 fluid ounces of water. About how many millilters of water does it take to make to the icecube. Round my
Dafna11 [192]

It takes 147.87 milliliter to make ice cube

<em><u>Solution:</u></em>

Given that ice cube is made of 5 fluid ounces of water

To find: milliliters of water to make to the ice cube

So we have to convert 5 ounce to milliliter

<em><u>Use the following conversion factor</u></em>

1 ounce = 29.5735 milliliter

Therefore,

5 ounce = 5 x 29.5735 milliliter

5 ounce = 147.8675 milliliter

On rounding to nearest hundred ( 2 decimal places ) , we get

5 ounce = 147.87 milliliter

Thus it takes 147.87 milliliter to make ice cube

5 0
2 years ago
A triangle had sides with lengths 5, 12, and 13.<br>verify this is a pythagorean triple
ra1l [238]

It is a pythagorean triple.

5 0
2 years ago
Select all of the following that are quadratic equations. 7x2 + 14x = 0 x3 - 3x2 + 1 = 0 5x - 7 = 0 x2 + 3x -5 = 0 x - 5 = 9x +
Tpy6a [65]

Answer:

7x2 + 14x = 0

x2 + 3x -5 = 0

x2 - x = 3x + 7  

Step-by-step explanation:

A quadratic equation has the highest power of x to the second power.  It must have x to the second power

7x2 + 14x = 0  quadratic

x3 - 3x2 + 1 = 0   not quadratic  but cubic

5x - 7 = 0  not quadratic  but linear

x2 + 3x -5 = 0   quadratic

x - 5 = 9x + 7  not quadratic but linear

x2 - x = 3x + 7  quadratic

4 0
2 years ago
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