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2 years ago

Please help with this math problem ASAP! It is due tonight! Will give brainliest! :)

Mathematics

1 answer:

frosja888 [35]2 years ago

8 0

Answer:

sin(x) = $\frac{7}{25}$

x = 16.26°

Step-by-step explanation:

First use Pythagorean theorem to find the length of the hypotenuse. Use $a^2 + b^2 = c^2$ . Since we know a and b we can plug in to find c. When we plug in we get: $(7)^2 + (24)^2 = c^2$ . When we solve this out we get 25 = c.

Now that we know the value of c, we also know sin(x) = $\frac{opposite}{hypotenuse}$ . Using this we see that sin(x) = $\frac{7}{25}$ .

To get the exact degree value of x, take the inverse sin of $\frac{7}{25}$ :

$sin^-1(\frac{7}{25})$ which gives us 16.26020° rounded to 16.26°

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Jesse is sanding a circular wooden table that has a diameter of 6 ft. She can sand 5 square feet every hour. At this rate, appro

Ilya [14]

The time it will take Jesse to finish sanding the table is approximately 22.61 hours.

<h3>How to find the area of a circle?</h3>

Suppose the circle has radius of 'r' units, then, its area is given as:

$A = \pi \times (r)^2$ sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

$A = \pi \times (\dfrac{d}{2})^2$ sq. units

For the given case, sanding being done needs to be equal to the area of the circular table, as it has to be done for whole table's surface, which is circular, and area of sanding done will be equal to the area of that circular table.

The area of table(diameter given as 6 ft) is: $A = \pi \times (\dfrac{d}{2})^2 \approx 3.14 \times 6^2 = 113.04 \: \rm ft^2$

Since Jesse does 5 sq. feet per hour, let she takes T hours time to finish sanding the table, then we have:

$\rm T \times 5\: ft^2 = A \approx 113.04 \: ft^2\\\\\text{Dividing all sides by 5, we get}\\\\T = \dfrac{113.04}{5} \approx 22.61 \: hours$

(since 5 sq. feet in 1 hours, then in T hours, T times 5 sq. feet will be done which is equal to area of table, as in approx T hours, she finishes sanding the table)

Thus, it will take approx 22.61 hours for Jesse to finish sanding the table.

Learn more about area of circle here:

brainly.com/question/13056790

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2 years ago

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