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3 years ago

Carrie started at the southeast corner of

Mathematics

1 answer:

Marina CMI [18]3 years ago

3 0

Answer:

9600 sq. yards.

Step-by-step explanation:

Carrie walked north 240 yards, turned and walked west 80 yards, and then turned and walked diagonally back to where she started.

Therefore, the path traced by Carrie is a right triangle with base and heights are 240 yards and 80 yards.

Now, the area of the triangle traced by Carrie while walking is

= $\frac{1}{2}\times \textrm {Base}\times \textrm {Height}$

= $\frac{1}{2} \times 240 \times 80 = 9600$ sq. yards. (Answer)

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aul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt

vodomira [7]

Set up a system of equations:

$\text{Total shirts bought}$

$x + y = 9$

$\text{Total cost}$

$10x + 7y = 72$

x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.

For the first equation, subtract y from both sides to get x by itself:

$x = 9 - y$

We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:

$10(9-y) + 7y = 72$

Distribute the 10 to both terms in parentheses:

$10 \times 9 = 90$

$10 \times -y = -10y$

$90 - 10y +7y = 72$

Combine like terms:

$-10y + 7y = -3y$

$90 - 3y = 72$

Subtract 90 from both sides:

$-3y = -18$

Divide both sides by -3 to get y by itself:

$y = 6$

6 long sleeve shirts were bought.

Now you have a value for y. Input this value into the first equation:

$x + 6 = 9$

Subtract both sides by 6 to get x by itself:

$x = 3$

3 tee shirts were bought.

The answer is B. 3 tee shirts and 6 long sleeve shirts.

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Firdavs [7]

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RideAnS [48]

The answer is 20000000

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Answer:

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Step-by-step explanation:

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Alborosie

The surface area of a sphere of radius r is A = 4π*r^3.

Since the radius in this case is 7 cm (half the 14 cm diameter), the area of this sphere is

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