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3 years ago

7

Questions 9-10: Make the necessary calculations and give

1 answer:

CaHeK987 [17]3 years ago

5 0

Answer: 12 cm

Explanation: To find the area of a rectangle, you multiply length by width.

A = wl —> A = 3(4) = 12 cm

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LA plane is trying to travel 250 miles at a bearing of 20° E of S, however, it ends 230 miles away from the

Semmy [17]

Answer:

The wind pushed the plane $65.01$ miles in the direction of $45.56 ^{\circ}$ East of North with respect to the destination point.

Step-by-step explanation:

Let origin, O, br the starting point and point D be the destination at 250 miles at a bearing of 20° E of S, but due to wind let D' be the actual position of the plane at 230 miles away from the starting point in the direction of 35° E of South as shown in the figure.

So, we have |OD|=250 miles and |OD'|=230 miles.

Vector $\overrightarrow{DD'}$ is the displacement vector of the plane pushed by the wind.

From figure, the magnitude of the required displacement vector is

$|DD'|=\sqrt{|AB|^2+|PQ|^2}\;\cdots(i)$

and the direction is $\alpha$ east of north as shown in the figure,

$\tan \alpha=\frac{|PQ|}{|AB|}\;\cdots(ii)$

From the figure,

$|AB|=|OA-OB|$

$\Rightarrow |AB|=|OD\cos 20 ^{\circ}-OD'\cos 35 ^{\circ}|$

$\Rightarrow |AB|=|250\cos 20 ^{\circ}-230\cos 35 ^{\circ}|$

$\Rightarrow |AB|=45.52$ miles

Again, $|PQ|=|OP-OQ|$

$\Rightarrow |PQ|=|OD\sin 20 ^{\circ}-OD'\sin 35 ^{\circ}|$

$\Rightarrow |PQ|=|250\sin 20 ^{\circ}-230\sin 35 ^{\circ}|$

$\Rightarrow |PQ|=46.42$ miles

Now, from equations (i) and (ii), we have

$|DD'|=\sqrt{|45.52|^2+|46.42|^2}=65.01$ miles, and

$\tan \alpha=\frac{|46.42|}{|45.52|}$

$\alpha=\tan^{-1}\left(\frac{|46.42|}{|45.52|}\right)=45.56 ^{\circ}$

Hence, the wind pushed the plane $65.01$ miles in the direction of $45.56 ^{\circ}$ E astof North with respect to the destination point.

5 0

3 years ago

A car insurance company suspects that the younger the driver is, the more reckless a driver he/she is. They take a survey and gr

allsm [11]

Answer:

Less group age have more interest than other group

Step-by-step explanation:

All human have interest to learn more but old age already have learned

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3 years ago

What is the volume of the sphere?

pav-90 [236]

Answer:

The formula for the volume of a sphere is V = 4/3 πr³.

Step-by-step explanation:

Surface area of sphere = 4πr2

Volume of a sphere = 4/3 πr3

You only need to know the radius to figure both the volume and surface area of a sphere.

Answers for surface area problems should always be in square units.

Answers for volume problems should always be in cubic units.

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3 years ago

A car drove 10/45 miles in 0.4 hours. How fast was the car traveling in miles per hour?

BARSIC [14]

Answer:

1.2 hours equal to 30mph

Step-by-step explanation:

Pls mark brainliest

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3 years ago

In the following figure, JL is tangent to circle o at point K.

mixer [17]

Answer:

B

Step-by-step explanation:

the angle formed by radius and tangent are right angles

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3 years ago