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creativ13 [48]
3 years ago
5

Find the area of the figure.

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

Answer:

384 cm

Step-by-step explanation:

7.5 x 24 = 180

8.5 + 7.5 = 16

16 x 24 = 384

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Satellite
sammy [17]

The first missing quantity is force due to gravity, and it is 215.1 N.

The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.

<h3>Force between two masses</h3>

The force between two masses is determined by applying Newton's law of universal gravitation as shown below;

F = \frac{GMm}{R^2}

where;

  • M is mass of Earth = 5.97 x 10²⁴ kg
  • m is mass of the satellite
  • R is the distance between the satellite and the Earth
  • G is universal gravitation constant
<h3>First missing quantity</h3>

The first missing quantity is force due to gravity, and it is calculated as follows;

F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N

<h3>Second missing quantity</h3>

The second missing quantity is distance between the statellite and the Earth,

R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km

Learn more about Newton's law here: brainly.com/question/3999427

6 0
2 years ago
The sum of two consecutive even number's is 66. find the numbers. ​
Elena L [17]

Answer:

32\ and\ 34.

Step-by-step explanation:

Let x be the smaller number.

The next even number will be (x + 2).

x+x+2=66

2x+2=66

Subtract 2 from both sides:

2x+2-2=66-2

2x=64

Divide both sides by 2:

\frac{2x}{2}=\frac{64}{2}

x=32

The smaller number is 32.

Larger number =32+2=34

5 0
4 years ago
7x + 2(6x + 9) = 170
a_sh-v [17]

Answer:

x = 8

Step-by-step explanation:

7x + 2(6x + 9) = 170

2(6x + 9) = 12x + 18

7x + 12x + 18 = 170

19x = 152

152/19 = 8

x = 8

5 0
3 years ago
How do you simply 3x-7+9-2x=x+2
Gre4nikov [31]

Answer:

x+2=x+2

Step-by-step explanation:

Combine like terms

3x+(-2x) and (-7)+9

x+2=x+2

7 0
3 years ago
Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 mile
mario62 [17]

Answer:

Therefore they are 734.106 miles apart.

Step-by-step explanation:

Given that ,

Two ships have a harbor together. The angle between two ships  is  135°40'. Each of two ships travel 402 miles.

It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.

Let ∠B= 135°40', and AB = 402 miles , BC =  402 miles

Then the distance between the ships = AC

We know

The sum of all angles = 180°

⇒∠A+∠B+∠C=180°

⇒∠A+135°40'+∠C=180°

⇒2∠A= 180°- 135°40'      [ since ∠A=∠C]

⇒2∠A=44°60'

⇒∠A= 22°30'

Again we know that,

\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Taking last two ratio,

\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Putting the value of BC , AC ,∠A,∠B

\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}

\Rightarrow AC=\frac{402 \times sin135^\circ40'}{sin 22^\circ30'}

         ≈734.106 miles

Therefore they are 734.106 miles apart.

3 0
3 years ago
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