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Leni [432]
2 years ago
13

The mass of a freight train is 9.98 • 10^6 kg the mass of an aircraft carrier is 7.3 •10^7 approximately how many more kilogram

is the mass of an aircraft carrier than the mass freight train ?
Mathematics
1 answer:
zzz [600]2 years ago
4 0

Answer:

63'020'000 kg or 6.302 × 10^7

Step-by-step explanation:

Freight train = 9.98 • 10^6 = 9'980'000 kg

Aircraft carrier = 7.3 •10^7 =73'000'000 kg

Thus 73000000 kg - 9'980'000 kg = 63'020'000 kilogram =

= 6.302 × 10^7

(scientific notation)

= 6.302e7

(scientific e notation)

= 63.02 × 106

(engineering notation)

(million; prefix mega- (M))

= 63020000

(real number)

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A rectangular safe can hold 5184 cubic inches. Gold bars that are 3 inches by 6 inches by 2 inches fit to completely fill the sa
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Answer:

144 gold bars

Step-by-step explanation:

first you fine the area gold bars take up in cubic inches by multiplying the 3, 2, and 6 to get 36

once you have the space 1 gold bar takes up you divide the total space by that the total space is 5184 so you divide 5184 by 36 to get 144

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2 years ago
An urn contains two red and two green marbles. we pick one marble, record its color, and replace it before picking the second ma
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2 years ago
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The base of a solid right pyramid is a regular hexagon with
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Answer: Last option.

Step-by-step explanation:

Observe the base of the pyramid, which is a regular hexagon. You can see that there is a right triangle.

The area of the triangle can be calculated with this formula:

A_t=\frac{bh}{2}

Where "b" is the base and "h" is the height.

You can say that the apothem is the height of the right triangle, then, you need to find the base applying the Pythagorean Theorem:

(2x)^2=(x\sqrt{3})^2+b^2\\\\b=\sqrt{(2x)^2-(x\sqrt{3})^2} \\\\b=\sqrt{4x^2-3x^2}\\\\b=\sqrt{x^2}\\\\b=x

Then, the area of the triangle is:

 A_t=\frac{x(x\sqrt{3})}{2}=\frac{x^2\sqrt{3})}{2}

Since the base of the pyramid is a regular hexagon, then you can multiply by 12 the area of the right triangle calculated above, in order to find the area of the hexagon. Then you get:

A_h=12(\frac{x^2\sqrt{3})}{2})=6x^2\sqrt{3}\ units^2

5 0
2 years ago
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Korey’s comic book store has been up and running for 4 years. Korey feels that his store has been successful and is considering
Inessa05 [86]
Year      Net Profit
1            <span>$14,250.00
2            $15,390.00
3            $16,621.20
4            $17,950.90</span>2

We need to get the increase of the net profit of the current year from the previous year.

Percentage increase = (Current year - Previous Year)/ Previous Year    * 100%

Year 2:  (15,390 - 14, 250) / 14,250   * 100% = 0.08 * 100% = 8%
Year 3: (16,621.20 - 15,390) / 15,390 * 100% = 0.08 * 100% = 8%
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Every year the net income increases by 8%. So, the net income in Year 5 will be:

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8 0
2 years ago
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Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi
Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}

Now, we know the following identities:

sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}

Now, the values are:

sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}

Sine value is positive and cos, tan values are negative.

It can be clearly observed that \theta is in 2nd quadrant.

2nd quadrant means, the value of x will be negative and y will be positive.

Let us have a look at the value of tan\theta:

tan\theta  = \dfrac{Perpendicular}{Base}\\OR\\tan\theta  = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0
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