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2 years ago

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A 2 foot tall dog casts a 3 foot shadow while at the same time a cat casts a one foot shadow. How tall is the cat? Enter a

2 answers:

Snowcat [4.5K]2 years ago

8 0

Answer:

The cat is 2/3 feet tall

Step-by-step explanation:

3ft shadow = 2ft tall

1ft shadow = 2/3 ft tall

harkovskaia [24]2 years ago

6 0

The heights of the animal and the length of the shadows are in proportion: we have that

dog's height : dog's shadow length = cat's height : cat's shadow length

Plug in the values and solve for the cat's height (which we'll call x):

$2\div 3=x\div 1 \iff 3x=2 \iff x=\dfrac{2}{3}$

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Sharon was going through the financial records of her company. The profit earned by the company, p(t), over time t, in years, fo

FromTheMoon [43]

For this case what we must do is find a quadratic function that is already factored.
This is because in the factored quadratic equations, it is easier to observe the zeros of the function.
In this case, the zeros of the function represent the time at which the company did not make any profit.
We have the following equation:
p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
We observed that there was no gain in:
t = 3
t = 5
The other roots are discarded because they are negative
Answer:
a.p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)

5 0

2 years ago

Suppose the area of a circle is 254.4696 square inches. Whats the radius of the circle? Use pie=3.1416. A. 18 in B. 81 in. C. 9

andrezito [222]

Answer:

radius = 9 inches

Step-by-step explanation:

$Area = \pi r^{2}$

r = radius

Area = 254.4696 square inches

so we have:

$r^{2} = \frac{A}{\pi} \\\\r = \sqrt{\frac{A}{\pi}} \\\\r = \sqrt{\frac{254.4696}{3.1416}} \\\\r = \sqrt{81}$

so we have: r = 9 inches

6 0

2 years ago

A bacteria culture begins with 13 bacteria which triple in amount at the end of every hour. How many bacteria are grown during t

Dimas [21]

The end of first hour = 13*3 = 39

The end of second hour = 39*3 = 117

The end of third hour = 117*3 = 351

The end of fourth hour = 351*3 = 1,053

The end of fourth hour = 1053*3 = 3,159

The end of fifth hour = 3159*3 = 9,477

The end of sixth hour = 9477*3 = 28,431

The end of seventh hour = 28341*3 = 85,293

The end of eighth hour = 85293*3 = 255,879

The end of ninth hour = 255879*3 = 767,637

The end of tenth hour = 767637*3 = 2,302,911

The correct answer is D.2,302,911

6 0

2 years ago

Read 2 more answers

Mr Russo exchanged 200 euros for 270 dollars.how man dollars would he get for 300 euros

Nostrana [21]

200 euros 300 euros

--------------- = -----------------------------

270 dollars x dollars

using cross products

200 * x = 270 * 300

divide each side by 200

x = 270 * 300/200

x =405 dollars

6 0

2 years ago

In the diagram, WZ=StartRoot 26 EndRoot. On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), p

geniusboy [140]

Answer: Last option.

Step-by-step explanation:

Observe the diagram.

The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:

$P=WX+XY+YZ+WZ$

You know the lenght of the side WZ. This is:

$WZ=\sqrt{26}\ units$

Notice that:

$XY=WZ=\sqrt{26}\ units$

Now, you must find the lenghts of the sides WX and YZ ( $WX=YZ$ )

Observe that WZ goes from 2 to -2, therefore its lenght is:

$WX=YZ=2-(-2)=4\ units$

Therefore, substituting values, you get that the perimeter of the paralellogram is:

$P=(4+ \sqrt{26}+4+\sqrt{26})\ units\\\\P=2\sqrt{26} +8\ units$

3 0

2 years ago

Read 2 more answers