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Kazeer [188]
3 years ago
7

The tires on your bicycle have a diameter of 9 inches. How many rotations does each tire make when you travel 300 feet? Round yo

ur answer to the nearest whole number.
Mathematics
1 answer:
Olegator [25]3 years ago
3 0

9*3.14 = 28.26

(This solves for circumference)

300/28.26 = 10.6157

(This solves for rotations)

About 11 rotations.

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Sales tax in Harris County is 7%. If the sales tax on a new car was $1400, what was the selling price of the car?
Dahasolnce [82]

Answer:

Bill of sale is not itemized or no sales tax has been paid to the state where the vehicle was purchased Sales tax is calculated using the following formula: (Vehicle Price – Trade in Value) x 6.25.

Step-by-step explanation:

3 0
2 years ago
What is the area of the sector ?​
worty [1.4K]

They forget to say "not to scale".  I'm guessing this is trig because I don't see another way to do it.

Let's consider x=chord PQ first.  By the Law of Cosines

x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ

We have an isosceles triangle formed by two radii of 9 cm and x=PQ.  By the Law of Cosines again,

x^2 = 9^2 + 9^2 - 2(9)(9) \cos B

x^2 = 162 - 162 \cos B

\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}

\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}

B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)

The area of the circle is the fraction given by the angle,

A = \dfrac{B}{360^\circ} \pi r ^2

A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2

A\approx 24.7474332960707

Answer: 24.7 sq cm

8 0
3 years ago
The formula v equals the square root of the quantity 64 multiplied by h end of quantity gives the velocity v in feet per second
NemiM [27]
The equation is derived from the conservation of energy, specifically from potential energy stored at a given height in a gravitational field.

When potential energy is completely converted to kinetic energy you have:

(mv^2)/2=mgh  divide both sides by the mass m

v^2/2=gh  multiply both sides by 2

v^2=2gh take the square root of both sides

v=√(2gh)  and working with imperial units for acceleration due to gravity, g=-32ft/s^2

v=√(-64h)  but the change of h as it falls is negative h so

v=-√(64h) so if an object falls from a height of 88ft we have:

v=-√(64*84)

v=-√5376

v≈-73.32 ft/sec (to the nearest hundredth of a foot per second)

Note that this is the velocity, it is negative 73.32 ft/sec.

The question inadvertently asked for velocity and provided answers for SPEED.  Velocity is a vector and has both magnitude and direction, whereas speed just has magnitude.

So its final speed is 73.32 ft/sec

So if they actually wanted velocity none of their answers is correct :P
5 0
3 years ago
Read 2 more answers
Whats is the square root of 2 multiply by one over the square root of 2
Ket [755]

When ANY number is multiplied by its own reciprocal, the product is ' 1 '.

8 0
3 years ago
Please, someone, help me ASAP
ryzh [129]
1.) Beachy-Keen
2.) shorething
3.) shorething
4.) Beachy-Keen
5.) shorething

let me know if you think any of these are incorrect hope it helps
4 0
3 years ago
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