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worty [1.4K]
3 years ago
5

The diameter of each wheel of a bicycle is 28 inches. If you are traveling at a speed of 15 miles per hour on this? bicycle, thr

ough how many revolutions per minute are the wheels? turning?
Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

180.07 rev / min

Step-by-step explanation:

Diameter (D) of each wheel =28 inches

Circumference (C) =  π x 28 = 28π inches

Conversions:

1 mile = 63,360 inches

1 hour = 60 min

Hence 15 miles / hour

= (15)(63,360) inches / hour

= (15)(63,360) / 60  inches / min

= 15,840 inches per min

Number of revolutions per min = Number of inches per min ÷ circumference in inches

=15,840 inches/min ÷ 28π inches

= 180.07 revolutions per min

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In 1980 (before the era of in-vitro fertilization), there were 3,612,258 births in the United States (according to the U.S. Cens
scoray [572]

Answer:

There was a 1.93% probability of having multiples (twins or more) in 1980.

Step-by-step explanation:

There were 3,612,258 births in the US in 1980.

Of those,

68339 + 1337 = 69676 were multiplies.

So

What was the probability of having multiples (twins or more) in 1980?

P = \frac{69676}{3612258} = 0.0193

There was a 1.93% probability of having multiples (twins or more) in 1980.

8 0
3 years ago
The base and the altitude of a triangle
marishachu [46]

Answer:

base=6

Step-by-step explanation:

\frac{base}{altitude}=\frac{1}{2}~=>2*base=altitude\\\\area=\frac{1}{2}base*altutude=\frac{1}{2}base*(2base)=base^2=36~=>base=6\\\\

5 0
3 years ago
How do you find the area of this composite figure?
Illusion [34]
If you notice the picture below

the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it

so.. get the area of the trapezoid   \bf \textit{area of a trapezoid}=A=\cfrac{h}{2}(a+b)\qquad 
\begin{cases}
h=height\\
a,b=\textit{parallel sides or bases}
\end{cases}

then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh

then, subtract the triangle's area from the rectangle's area

and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area

namely the area of the trapezoid plus the rectangle's, minus the triangle's

6 0
3 years ago
A set of data that is made up of two paired variables is
Stella [2.4K]
<span>A set of data that is made of two paired variables is called bivariate data. This simply means 2 variables exist in the data. Both of them are usually linked to each other. As one variable changes value there is a proportionate change in the other value. However sometimes one value may remain constant while the other changes.</span>
4 0
3 years ago
Please help :(,,,,,,???,,,,,,
nadya68 [22]

Step-by-step explanation:

The first one (f×g)(x) is asking you what is f of x times g of x. This means you multiply the function. You can multiply by the first term (5x) then the second (3) and combine like terms.

{15x}^{2} (5x) =  {75x}^{3}   \\ 19x(5x)  = 95 {x}^{2} \\  6(5x)  = 30x

{15x}^{2} (3) = 45 {x}^{2}  \\ 19x(3) = 57x \\ 6(3) = 18

Combine like terms

{75x}^{3}  +  {95x}^{2}  +  {45x}^{2}  + 30x + 57x \\  + 18 = \\   {75x}^{3}  +  {140x}^{2}  + 87x + 18

The second one asks you to divide.

Factor out f(x):

{15x}^{2}  + 19x + 6

From dividing f(x) /g(x)

\frac{ {15x}^{2} + 19x + 6 }{5x + 3}

To

\frac{(5x + 3)(3x + 2)}{5x + 3}

Cancel like terms since (5x+3) is on top and bottom of fraction.

You get 3x+2

5 0
4 years ago
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