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Shalnov [3]
3 years ago
11

The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer fi

nishes a race in 25 seconds with an average speed of 6 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.
Mathematics
1 answer:
Ket [755]3 years ago
4 0

9514 1404 393

Answer:

  3 feet per second

Step-by-step explanation:

If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.

  (1/2)(6 ft/s) = 3 ft/s

The swimmer's average speed is 3 ft/s.

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South west

Shifting 4 units left (decreasing in x-axis by 4 units)
Shifting 5 units down (decreasing in y-axis by 5 units)

Apply to every vertices coordinates(x - 4, y - 5)

New coordinates

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5 0
3 years ago
Verify the identity. sin() tan() = cos() use a reciprocal identity to rewrite the expression in terms of sine and cosine, and th
Andreas93 [3]

The identity Sin(α)/Tan(α) = Cos(α) is valid

Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-

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Cosine Function:

cos(θ) = Adjacent / Hypotenuse

Tangent Function:

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Lets prove this identity by proceeding with the LHS

= Sin(α)/Tan(α)

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4 0
2 years ago
In a field, dry fodder for the cattle is heaped in a
ipn [44]

Answer:

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l^2=(2.1)^2+(3.6)^2

l^2=4.441+12.96=17.37

l=\sqrt{17.37}=4.17m

minimum area of polythene to cover fodder=pieRl=\frac{22}{7} *3.6*4.17=47.18m^2

the volume of fodder is 28.51m^3 and minimum area of polythene to cover fodder in the  rainy seasonv47.18m^3

3 0
3 years ago
The length of a ribbon is 6/7 meter. Sun Yi needs pieces measuring 1/6 meter for an art project. What is the greatest number of
Strike441 [17]

Answer:

Let's find out!

Step-by-step explanation:

So we have to set up an equation

Let x= # of ribbons that can be cut

Thus:

\frac{1}{6}x =\frac{6}{7} \\x=\frac{6}{7} *\frac{6}{1} \\x=\frac{36}{7}

So, we cannot have 36/7 ribbons! It's not possible!

So we just simplify!

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There we go! She can cut 5 ribbons off!

I'll let you figure out the last one!

Hope this helps!

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6 0
3 years ago
Y=x+1 and y=-x-3 in graphing,Substitution,and elemination
marysya [2.9K]

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SUBSTITUTION\\\\\left\{\begin{array}{ccc}y=x+1\\y=-x-3\end{array}\right\\\\\text{substitute}\ y=-x-3\ \text{to the first equation}\\\\-x-3=x+1\ \ \ \ |+3\\-x=x+4\ \ \ \ |-x\\-2x=4\ \ \ \ |:(-2)\\x=-2\\\\\text{substitute the value of x to the second equation}\\\\y=-(-2)-3=2-3=-1\\\\Solution:\ (-2,\ -1)


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