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4 years ago

It takes Carrie 58 minutes to get home.

Mathematics

1 answer:

Mariana [72]4 years ago

3 0

1 Hour has 60 minutes, so you can add 1 hour and subtract 2 minutes:

1:32 + 58 minutes = 2:30

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scZoUnD [109]

Answer:

H And G I think

Step-by-step explanation:

I think this because C and F...

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3 years ago

Pls help #10-15 pls show work

VladimirAG [237]

Answer:

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Step-by-step explanation:

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4 years ago

A rectangular field is to be enclosed by a fence and divided

Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0

3 years ago

The time, t, required to travel a fixed distance varies inversely as the

Lemur [1.5K]

You must travel at 42 mph for 4 hours

Solution:

Time varies inversely as rate of motion

Let "t" be the time required

Let "r" be the rate of motion

Then, we get

$t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1$

Where, "k" is the constant of proportionality

You travel 3 hours at a rate of 56 mph

Substitute t = 3 and r = 56 in eqn 1

$3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168$

Find the rate you must travel for 4 hours

r = ? and t = 4

Substitute t = 4 and k = 168 in eqn 1

$4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42$

Thus you must travel at 42 mph for 4 hours

4 0

4 years ago

A dilation is an enlargement if the scale factor is _____ between 0 and 1. greater than 1. less than 0. equal to 1.

boyakko [2]

Dilation is one of the several means by which we can transform a graph. A function is dilated when is stretched away from an axis or compressed towards an axis. So this means there are 2 types of dilation: a) Stretch (Enlargement) and b) Compression.

Depending on the direction of Dilation, we have Horizontal Dilation and Vertical Dilation.

For a function y = f(x), horizontal dilation is achieved when x is replaced by $\frac{x}{A}$ and vertical dilation is achieved when y is replaced by $\frac{y}{A}$ where A is the scale factor.

In each of these cases, the function will be stretched if |A| > 1 and will be compressed if |A| < 1.

Therefore, the answer to the given question is:

A dilation is an enlargement if the scale factor is greater than 1.

4 0

3 years ago