Mathematics, 22.07.2019 01:00 jasminecoronetti44

2. find the area of the regular polygon. give the answer to the nearest tenth. hexagon with a radius of 5 in. a. 65.0 in.^2 b. 129.9 in.^2 c. 259.8^2 d. 53.0^2 3. divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. the angle between the sides of the triangle is 35°. to the nearest hundredth, find the search area. a. 2.08 mi.^2 b. 2.97 mi.^2 c. 1.49 mi.^2 d. 1.04 mi.^2

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Answer from: PrincessKehlani15

The correct options are (2). A, (3). A.

Step-by-step explanation: The calculations are as follows:

(1) We are to given the area of a regular hexagon with radius 5 in.

The AREA of a regular hexagon with side 'a' units is given by

$A=\dfrac{3\sqrt3}{2}a^2.$

We know that the radius of a regular hexagon is equal to the length of each side, so we have

a = 5 in.

Therefore, the area of the hexagon will be

$A=\dfrac{3\sqrt3}{2}\times 5^2=1.5\times 1.732\times 25=64.95\sim 65~\textup{in}^2.$

Thus, (A) is the correct option.

(2) Given that two adjacent sides of the triangle measure 1.32 miles and 2.75 miles.

The angle lying between the two sides measure 35°.

we are to find the area of the triangle.

We know that the area of a triangle with two adjacent sides of measure 'a' and 'b' units and 'β' be the measure of the angle lying between them is given by

$A=\dfrac{1}{2}ab\sin \beta.$

Here, a = 2.75 miles, b = 1.32 miles and β = 35°.

Therefore, the total search area, in the form of triangle is given by

$A=\dfrac{1}{2}\times 2.75\times 1.32\times \sin 35^\circ=1.815\times 0.5735=2.08~\textup{mi}^2.$

Thus, the correct option is (A) 2.08 mi².

Hence, the correct options are (2). A, (3). A.

Answer from: Quest

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6 purchases

if you are asking how many of each then:

18 social media ads

6 newspaper ads

Answer from: Quest

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