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almond37 [142]
3 years ago
11

A standard dartboard has a diameter of 18 in. What is its area to the nearest square inch?

Mathematics
1 answer:
Reptile [31]3 years ago
8 0
The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula A= \pi r^{2}, where r is equal to the radius of the circle.

In this exercise is given that the diameter of a standard cardboard is 18 inches or a radius of 9 inches and it is asked to find its area. Therefore, to find the area of the circle you should substitute the value of the radius into the previous mention formula.

A= \pi r^{2}
A= \pi (9 in)^{2}
A= \pi (81 in^{2})
A=254.47 in^{2}

The area of the standard dartboard is 254.47 square inches or 254 square inches.





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First, we do the exponents.

5² - 4 · 6 + 11

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Next, multiplication (according to PEMDAS).

= 25 - 24 + 11

Although PEMDAS says addition then do subtraction, please note that this is totally interchangeable. For the sake of this problem, subtraction will be done first.

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1) No

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4 coffees and 12 lattes. Costs $61
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Answer:

Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = c

∴ 4 coffees cost = 4c and 12 coffee cost = 12c

∵ 1 latte cost = l

∴ 12 lattes cost = 12l and 7 lattes cost = 7l

Now, as per question:

4c+12l=61-----1\\12c+7l=59.75----2

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

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