91影视

A square yard is a square with sides 1 yard in length. a) How many square feet are in 1 square yard? b) How many square inches are in 1 square yard?

Use the formula \(A=\frac{1}{2} a P\) to find the area of the regular polygon described. In a regular octagon, the measure of each apothem is \(4 \mathrm{cm}\) and each side measures exactly \(8(\sqrt{2}-1) \mathrm{cm} .\) Find the exact area of this regular polygon.

The perimeter of a right triangle is \(12 \mathrm{m}\). If the hypotenuse has a length of \(5 \mathrm{m},\) find the lengths of the two legs.

Regular octagon \(A B C D E F G H\) is inscribed in a circle with radius \(r=\frac{7}{2} \sqrt{2} \mathrm{cm}\) Considering that the area of the octagon is less than the area of the circle and greater than the area of the square \(A C E G\), find the two integers between which the area of the octagon must lie.

Use your calculator value of \(\pi\) unless otherwise stated. Round answers to two decimal places. At center court on a gymnasium floor, a large circular emblem is to be painted. The circular design has a radius length of 8 ft. a) What is the area to be painted? b) If a quart of paint covers \(70 \mathrm{ft}^{2},\) how many quarts of paint are needed to complete the job? c) If each quart of paint costs \(\$ 15.89,\) find the cost of the paint needed.

In a triangle with sides of lengths \(a, b,\) and \(c\) and semiperimeter \(s\), show that the length of the radius of the inscribed circle is $$r=\frac{2 \sqrt{s(s-a)(s-b)(s-c)}}{a+b+c}$$

Consider a regular hexagon \(A B C D E F\) (not shown). By joining midpoints of consecutive sides, a smaller regular hexagon MNPQRS is formed. Show that the ratio of areas is $$\frac{A_{\text {MRROES}}}{A_{\text {ABCDE}}}=\frac{3}{4}$$

Find the approximate perimeter of a regular polygon that has 20 sides if the length of its radius is \(7 \mathrm{cm}\)

Given:\( \triangle A B C,\) whose sides are \(10 \mathrm{cm}, 17 \mathrm{cm},\) and \(21 \mathrm{cm}\) Find: a) \(B D,\) the length of the altitude to the \(21-\mathrm{cm}\) side b) The area of \(\triangle A B C,\) using the result from part (a)

The radius of the Ferris wheel鈥檚 circular path is 40 ft. If a 鈥渞ide鈥� of 12 revolutions is made in 3 minutes, at what rate in feet per second is the passenger in a cart moving during the ride?