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2 years ago

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

Mathematics

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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Annual income of A is 10% more than of B whereas income of B is 20% more than that of C. If monthly income of C is $ 2000 then w

Vanyuwa [196]

Answer:

7040

Step-by-step explanation:

C= 2000

B = 20/100 x 2000 = 400 + 2000 = 2400

A= 10/100 x 2400 = 240+2400= 2640

2000 + 2400 + 2640 = 7040

3 0

2 years ago

"From 1990 to 2000 The population of city A rose from 12,000 to 28,000 and the population of city B rose from 18,000 to 24,000.

Virty [35]

Answer:

The year 1996

With population of both 21600

Step-by-step explanation:

From 1990 to 2000 = 10 years

So city A grew from 12000 to 28000 that is city A had an increase of 16000 in 10 years.

While city b grew from 18000 to 24000 , that's an increase of 6000 in 10 years to.

For city A

10 years= 16000

1 year = 16000/10

1 year = 1600

For city B

10 years = 6000

1 year = 6000/10

1 year = 600

So we are to find what year the both cities had same population.

12000 + x1600 = y

18000 + x600 = y

X is the year difference

Y is the population at that year

Eliminating y gives

6000= x1000

X= 6

If x is 6

18000+3600= y

21600= y

So 6 years + 1990 = 1996

4 0

2 years ago

Find the inverse of the function. y = 2x2 –4

Alex73 [517]

Answer:

The inverse function is $y=\sqrt{\frac{x+4}{2}}$

Step-by-step explanation:

The given function is $y=2x^2-4$ .

This function is only invertible on the interval, $x\ge 0$ .

To find the inverse on this interval, we interchange $x$ and $y$ .

$x=2y^2-4$

We now make $y$ the subject to get,

$x+4=2y^2$

$\Rightarrow \frac{x+4}{2}=y^2$

$\Rightarrow \pm \sqrt{\frac{x+4}{2}}=y$

But the given interval is $x\geq 0$ , This implies that, $y\geq 0$ .

$y=\sqrt{\frac{x+4}{2}}$

4 0

2 years ago

Read 2 more answers

A city water department is proposing the construction of a new water pipe, as shown. the new pipe will be perpendicular to the o

vitfil [10]

I found a similar problem to your problem here, which is shown in the attached picture. So, from the picture, we have to find the equation for the red line. All we have to do is find two points of the line. That would be: Point 1(2,0) and Point 2(-2,3). The general equation would be:

y - y₁ = (y₂-y₁)/(x₂ - x₁) * (x - x₁)

Substituting the coordinates to the equation,

y - 0 = (3-0)/(-2 - 2) * (x - 2)
y = -3(x -2)/4
Rearranging,
<em>4y = -3x + 6 or 4y + 3x = 6</em>

4 0

2 years ago

The drama club at Del Rosa Middle School is having a production.

Firdavs [7]

Answer:

320 Student Tickets

180 Adult Tickets

Step-by-step explanation:

You can solve this problem by using system of equations. First, we need to figure out our equations.

Equation 1: x as students and y as adults

$x+y=500$

We get this equation because the total tickets sold was 500. The x represents the students sold to students, and the y represents the tickets sold to adults.

Equation 2:

$3x+5y=1850$