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Softa [21]
3 years ago
13

Pls help:Find all the missing elements:

Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0

Answer:

<h3>B = 48.7° , C = 61.3° , b = 12</h3>

Step-by-step explanation:

In order to find B we must first angle C

To find angle C we use the sine rule

That's

\frac{ |a|  }{ \sin(A) }  =  \frac{ |c| }{ \sin(C) }

From the question

a = 15

A = 70°

c = 14

So we have

\frac{15}{ \sin(70) }  =  \frac{14}{ \sin(C) }

\sin(C)  =  \frac{14 \sin(7 0 ) }{15}

C = \sin^{ - 1} (  \frac{14 \sin(70) }{15} )

C = 61.288

<h3>C = 61.3° to the nearest tenth</h3>

Since we've found C we can use it to find B.

Angles in a triangle add up to 180°

To find B add A and C and subtract it from 180°

That's

A + B + C = 180

B = 180 - A - C

B = 180 - 70 - 61.3

<h3>B = 48.7° to the nearest tenth</h3>

To find b we can use the sine rule

That's

\frac{ |a| }{ \sin(A) }  =  \frac{ |a| }{ \sin(B) }

\frac{15}{ \sin(70) }  =  \frac{ |b| }{ \sin(48.7) }

|b|  =  \frac{15 \sin(48.7) }{ \sin(70) }

b = 11.9921

<h3>b = 12.0 to the nearest tenth</h3>

Hope this helps you

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<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

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For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus,  from the value of area given, you can find the values of the length and width of the rectangle.

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Solving this quadratic equation, you have:

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For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

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Read more about the area of rectangle here:

brainly.com/question/25292087

#SPJ1

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Answer:

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Step-by-step explanation:

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90+48+x=180

x=180-90-48

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