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3 years ago

A bicycle wheel makes five rotations. the bicycle travels 44.48 ft. Find the diameter of the wheel in inches.

Mathematics

2 answers:

Tema [17]3 years ago

7 0

Answer:

2.42 feet

Step-by-step explanation:

the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588

Then we use the formula for the circumference of a circle: 2(pi)(radius) = circumference

We plug in what we know 2(3.14)(radius) = 7.588 and then solve for the radius

We divide 2 from both sides of the equation (3.14)(radius) = 3.794

We divide pi from both sides (radius) = 1.208

Then the last step, we multiply the radius by 2, because we need the diameter, which is double the radius

1.208 * 2 = 2.416 or 2.42 rounded up

Final answer = 2.42 feet

seropon [69]3 years ago

3 0

Answer:

2.42 ft

Step-by-step explanation:

the bicycle wheel rotates 5 times and travels 37.94 feet, then we know that the circumference of the wheel (the outside of the wheel as it touches the ground 5 times around) is 37.94/5 = 7.588

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Given: 4x=12x+32 prove: =-4

myrzilka [38]

Answer:

See explanation

Step-by-step explanation:

4x = 12x + 32

Subtract 12x from both sides

-8x = 32

Divide each side by -8.

x = -4

6 0

2 years ago

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Write the equation of circle b with center B(-2,3) that passes through (1,2)

professor190 [17]

Answer:

$(x+2)^2 + (y-3)^2 = 10$

Step-by-step explanation:

The standard equation for circle is

$(x-a)^2 + (y-b)^2 = r^2$

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

$(x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)$

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 ) in equation 1 we have

$\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\$

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is $=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10$

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3 years ago

Find the cost per ounce of a gold alloy made from 30 oz of pure gold that costs $1290 per ounce and 60 oz of an alloy that costs

Romashka [77]

The answer would be $24.55 per oz of gold alloy so rounded up would be $25

6 0

3 years ago

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If the simple interest on $6,000 for 9 years is $3,240 , then what is the interest rate?

igor_vitrenko [27]

Rate of interest is 6 %

Solution:

Given in question that,

simple interest = $ 3240

number of years = 9 years

principal sum = $ 6000

To find: interest rate

The simple interest is given as:

$S.I = \frac{pnr}{100}$

Where, "p" is the principal

"r" is the rate of interest

"n" is the number of years

Substituting the values in above formula,

$3240 = \frac{6000 \times 9 \times r}{100}\\\\3240 = 60 \times 9 \times r\\\\3240 = 540 \times r\\\\r = \frac{3240}{540}\\\\r = 6$

Thus rate of interest is 6 %

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3 years ago

SERIOUSLY HELPPPPPPPP

AlekseyPX

9514 1404 393

Answer:

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Step-by-step explanation:

The function is of even degree with a negative leading coefficient. f(x) will tend toward negative infinity as x gets larger or smaller. That is ...

as x increases, f(x) decreases;
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Even degree means the end behaviors are the same for both large and small x. Negative leading coefficient means the function value decreases for larger x.

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3 years ago