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GarryVolchara [31]
3 years ago
8

The thickness of a one-dollar bill is 1.1 × 10-4 meters. Each measurement below is the thickness of a stack of one-dollar bills.

Drag each measurement to the correct dollar amount.

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer:

1. 1.1 \times10^{-3} meters

2.  1.375 \times10^{-1} meters

3. 1.507 \times10^{-2} meters

Step-by-step explanation:

1. The thickness of a one-dollar bill is 1.1 \times10^{-4} meters.

Now, if the thickness of a stack of one-dollar bill is 1.1 \times10^{-3} meters, then there will be \frac{1.1 \times10^{-3}}{1.1 \times10^{-4}} = 10 Dollars bill.

Therefore, the amount will be $10.

2. The thickness of a one-dollar bill is 1.1 \times10^{-4} meters.

Now, if the thickness of a stack of one-dollar bill is 1.375 \times10^{-1} meters, then there will be \frac{1.375 \times10^{-1}}{1.1 \times10^{-4}} = 1.25 \times 10^{3} Dollars bill.

Therefore, the amount will be $ 1.25 \times 10^{3}.

3. The thickness of a one-dollar bill is 1.1 \times10^{-4} meters.

Now, if the thickness of a stack of one-dollar bill is 1.507 \times10^{-2} meters, then there will be \frac{1.507 \times10^{-2}}{1.1 \times10^{-4}} = 137 Dollars bill.

Therefore, the amount will be $137.

4. All the other dimensions will be within the other category. (Answer)

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4 years ago
1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The
Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = \frac{opposite}{adjacent} = \frac{12850}{hor} ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = \frac{12850}{tan20} ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37  and angle of depression x, then

tanx° = \frac{opposite}{adjacent} = \frac{37}{65} , thus

x = tan^{-1} (\frac{37}{65} ) ≈ 30° ( to the nearest degree )

4 0
3 years ago
Read 2 more answers
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