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3 years ago

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The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest t

enth of a unit.

1 answer:

mezya [45]3 years ago

6 0

Answer:

16.6

Step-by-step explanation:

The rectangle has an area of 105. It's width is 7.

1: Find the length

$\frac{area}{width}$ =length

$\frac{105}{7}$ = 15

Length=15

2: Pythagorean theorem

$a^{2} +b^2=c^2$

$7^{2}$ + $15^2=c^2$

49+225= $c^2$

275= $c^2$

$\sqrt{275}$ = $\sqrt{c^2\\}$

16.55≈c

Rounded to nearest tenth

16.6

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Answer:

Step-by-step explanation:

Given that:

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3 years ago

Another chart question that I don’t know

zloy xaker [14]

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2 years ago

Matt have 2 cookies, while christine have 2 more than matt how many cookies will they have if the add them altogethe?.

mojhsa [17]

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2 years ago

Read 2 more answers

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

So

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

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