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hodyreva [135]
3 years ago
13

3. What is the perimeter of a rectangle if the width is 2 ½ inches and the length is 4.5 inches?

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

Answer:

Perimeter of the rectangle =  14 inches

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given length of the rectangle = 4.5 inches

Given that the width of the rectangle = 2\frac{1}{2} = \frac{5}{2} = 2.5 inches

The area of the rectangle = length × width

                                          = 4.5 × 2.5

                                          = 11.25 sq inches

<u><em>Step(ii):-</em></u>

Perimeter of the rectangle = 2( length + width)

                                            = 2( 4.5 + 2.5)

                                            = 14 inches

<u><em>Final answer:-</em></u>

Perimeter of the rectangle =  14 inches

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Help question attached multiple choice
Rina8888 [55]

ANSWER

x =  \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}

EXPLANATION

The given trigonometric equation is

\cos(x)  + 2 \cos(x)  \sin(x)  = 0

We factor cos(x) to get:

\cos(x) (1 + 2 \sin(x) ) = 0

Apply the zero product property to obtain:

\cos(x)  = 0 \: or \: 1 + 2 \sin(x)  =  0

\cos(x)  = 0 \: or \: \sin(x)  =   -  \frac{1}{2}

Using the unit circle,

\cos(x)  = 0

when

x =  \frac{\pi}{2}

and

x =  \frac{3\pi}{2}

We know

\sin(y)  =  \frac{1}{2}

when

y=  \frac{\pi}{6}

The sine function is negative in the third and fourth quadrants.

x = \pi +  \frac{\pi}{6}  =  \frac{7\pi}{6}

x = 2\pi  -   \frac{\pi}{6}  =  \frac{11\pi}{6}

Hence the solutions are:

x =  \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}

6 0
3 years ago
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