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Advocard [28]
3 years ago
15

Which statement is correct?

Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

2.06 \times 10^-^2 = 206

1.88 \times 10^-^1 = 18.8

206 \times 18.8 = 3,872.8

7.69 \times 10^-^2 = 769

2.3 \times 10^-^5  = 230,000

=\frac{769}{230000}

= 0.00334

therefore,

3,872.80 > 0.00334

Step-by-step explanation:

Which statement is correct?

(2.06x102x1.88 x 10-1) <7.69x 10

2.3x10-5

(2.06 x 10-2)(1.88 x 10-1) 7.69x 10-

2.3x10-5

7.69 x 10"

(2.06 x 10-2x1.88x10-)>

2.3x10-5

(2.06x 10-2X(1.88x 10-1)-7.69x104

2.3x10-5

Given that;

2.06 \times 10^-^2 = 206

1.88 \times 10^-^1 = 18.8

206 \times 18.8 = 3,872.8

7.69 \times 10^-^2 = 769

2.3 \times 10^-^5  = 230,000

=\frac{769}{230000}

= 0.00334

therefore,

3,872.80 > 0.00334

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Answer:

<em>B) </em><em>2 dogs.</em>


<h2><em>40% of 5 = 2</em></h2>
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3 years ago
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The gear is one of the oldest mechanical devices. It has been used since ancient times for its ability to increase or decrease r
eduard

The large gear attached to the pedals connected to the smaller gear

attached to the wheel allows the bicycle to travel further per rotation.

Correct responses:

Part A: Approximately 10.47 inches

Part B: 300°The d

Part C: Approximately 125.66 inches

Part D: The distance traveled increases by approximately 62.83 inches

<h3 /><h3>Methods used to calculate the above values</h3>

Given:

The radius of the large central gear, <em>r</em> = 4 inches

Radius of the small gear = 2 inches

Part A:

The distance travelled by the larger gear when the angle of rotation is 150° is given as follows;

\displaystyle Distance \ travelled \ by \ larger \ gear = \mathbf{\frac{150^{\circ}}{360^{\circ}} \times 2 \times \pi \times  4 \, inches} = \frac{10}{3} \cdot \pi \ inches

  • \displaystyle Distance \ traveled \ by \ the \ outer \ edge = \frac{10}{3} \cdot \pi \ inches  \approx \underline{ 10.47 \ inches}

Part B:

When the small gear travels the same linear distance as the large gear in part A, we have;

\displaystyle Degree \ of \ rotation = \frac{\frac{10}{3} \cdot \pi }{2 \times \pi \times  2 } \times 360^{\circ}= 300^{\circ}

  • The degree of rotation of the small gear = <u>300°</u>

Part C:

The distance travelled, <em>C</em>, by a single rotation of the large gear is given as follows;

C = 2 × π × 4 inches = 8·π inches

The degree of rotation of the smaller gear following one rotation of the large gear is therefore;

Degree  \ of \ rotation = \displaystyle \frac{8\cdot \pi \ inches}{4 \cdot \pi \ inches } \times 360^{\circ} = \mathbf{ 720^{\circ}}

720° = 2 × 360°

1 complete rotation is equivalent to 360°.

Therefore'

720° is equivalent to two complete rotation.

Therefore, the smaller gear and the wheel rotates twice for each rotation of the large gear

The distance the bicycle travels = 2 × The circumference of the wheel

Therefore;

Distance traveled by the bicycle = 2 × 2 × π × 10 inches = 40·π inches

  • Distance traveled by the bicycle = 40·π inches ≈ <u>125.66 inches</u>

Part D:

If the radius of the small gear is 1.5 inches and the radius of the large gear is 4.5 inches, we have;

Number of rotation of the small gear for each rotation of the large gear = 3 rotations

Therefore, number of rotation of the wheel = 3

Distance the bicycle travels = 3 × 2 × π × 10 inches = 60·π inches

The difference in distance traveled = 60·π inches - 40·π inches = 20·π inches

  • The distance traveled by the bicycle increases by 20·π inches ≈ <u>62.83 inches</u>

Learn more about gear transmission here:

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8 0
2 years ago
Help me on this question please
mario62 [17]

Step-by-step explanation:

lawn = garden - veg - flower

=(14*10) - ((5+7)/2 *10) - (0.5*3*8)

= 140 - 60 - 12

= 68 Squared meters

4 0
3 years ago
This graph shows the linear relationship between the time in seconds, x, for Caroline's walk and the distance in meters, y, Caro
serg [7]
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The area of the rectangle below is<br> sq. units.<br> Help me pls :(
Lisa [10]

Answer:

D

Step-by-step explanation:

Hey There!

To find the area of a rectangle we do length times width

17 is the width and 4 is the length

so area is equal to 17x4

17x4=68 so your answer would be D

8 0
3 years ago
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