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Ket [755]
3 years ago
8

The distance d, in meters, that a rhinoceros runs in s seconds is represented by the equation d=16s. What is the constant of pro

portionality (unit rate) of d to s?
Mathematics
1 answer:
castortr0y [4]3 years ago
3 0
Time          Distance                Distance / Time
2hrs          90 miles                  90 miles / 2 hrs =  45 miles / hr
3hrs          135 miles                135 miles / 3 hrs =  45 miles / hr
5hrs          225 miles                 225 miles / 5 hrs =  45 miles / hr
6hrs          270 miles                  270 miles / 6 hrs =  45 miles / hr

Constant of proportionality is 45 miles / hr. This is the same for the four values. The unit rate is also 45 miles / hr.

Let us assume the Distance , d is directly proportional to Time, t
d α t
d = kt 
Constant of proportionality is k which is D/T
d = 45t 

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Answer: The figure is a regular hexagon.

Step-by-step explanation:

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4 years ago
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Calculate the perimeter of a regular pentagon which has a side of 9cm
Alisiya [41]
The answer is 45. there are 5 sides. each one is 9cm. 9*5= 45. 
hope this helps.
8 0
3 years ago
Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to
yanalaym [24]
A
100+89.50×36
=3,322
b
3,322−2,900
=422
c
2,900÷89.50
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6 0
3 years ago
Read 2 more answers
A certain right triangle has area 30 in. squared . one leg of the triangle measures 1 in. less than the hypotenuse. let x repres
Brut [27]
A) The length of the longer leg is x-1

b) Based on the area, the other leg is 2*30/(x -1). Based on the Pythagorean theorem, the other leg is √(x^2 -(x -1)^2).

c) Equating the two expressions for the shorter leg, we have
.. 60/(x -1) = √(2x -1)
.. 3600/(x -1)^2 = (2x -1)
.. (2x -1)(x^2 -2x +1) = 3600
.. 2x^3 -5x^2 +4x -3601 = 0

d) There is one positive real root, at x=13. A graphical solution works well.

The three sides of the triangle are 5 in, 12 in, 13 in.


_____
5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.

6 0
3 years ago
Consider the following pair of points.
dedylja [7]

Answer:

The answer is

<h2>\sqrt{265}  \:  \: or \:  \:  16.28 \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9,-8) and (-7,-5)

The distance between them is

d =  \sqrt{ ({9 + 7})^{2}  +  ({ - 8 + 5})^{2} }  \\  =  \sqrt{ {16}^{2} + ( { - 3})^{2}  }  \\  =  \sqrt{256 + 9}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{265} \:  \:  \:  \:  \:  \:    \\  = 16.27882

We have the final answer as

\sqrt{265}  \:  \: or \:  \:  16.28 \:  \:  \:  \: units

Hope this helps you

4 0
3 years ago
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