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3 years ago

A 6 foot tall person casts a shadow 8ft long at the same time a building can cast a shadow 48 feet long how tall is the building

Mathematics

1 answer:

aliina [53]3 years ago

5 0

Answer:

36 feet

Step-by-step explanation:

We can use the tall person's shadow as a ratio to help us witht his problem.

The ratio would be 6:8

Once we know how tall the shadow cast is, we can divide that by 8 to be within the same ratio.

48 / 8 = 6

Then once we do that we multiply that by 6

6 x 6 = 36

And there we go, that's the answer.

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What is the answer for 3r=10+5 when r=10

katen-ka-za [31]

Answer:

Step-by-step explanation:

What is the VALUE OF 3r=10+5 when r=10?

substitute 10 for r in 3r=10+5. We get:

3(10) = 10 + 5, or 30 = 15. This equation is FALSE when r = 10.

You could solve the equation for r, however:

3r=10+5 becomes 3r = 15, and so r = 5. 5 is a solution; 10 is not a solution.

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3 years ago

Solve this equation for x 2/3(x-7=-2

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The point slope form of the equation of the line that passes through (-5-1) and (10.-7) is

Natalka [10]

Answer:

The standard form of the equation for this line can be:

l: 2x + 5y = -15.

Step-by-step explanation:

Start by finding the slope of this line.

For a line that goes through the two points $(x_0, y_0)$ and $(x_1, y_1)$ ,

$\displaystyle \text{Slope} = \frac{y_{1} - y_{0}}{x_{1} - x_{0}}$ .

For this line,

$\displaystyle \text{Slope} = \frac{(-1) - (-7)}{(-5) - 10} = -\frac{2}{5}$ .

Find the slope-point form of this line's equation using

$\displaystyle \text{Slope} = -\frac{2}{5}$ , and
The point $(-5, -1)$ (using the point $(10, -7)$ should also work.)

The slope-point form of the equation of a line

with slope $m$ and
point $(x_{0}, y_{0})$

should be $l:\; y - y_{0} = m(x - x_0)$ .

For this line,

$\displaystyle m = -\frac{2}{5}$ , and
$x_0 = -5$ , and
$y_0 = -1$ .

The equation in slope-point form will be

$\displaystyle l:\; y - (-1) = -\frac{2}{5}(x - (-5))$ .

The standard form of the equation of a line in a cartesian plane is

$l: \; ax + by = c$

where

$a$ , $b$ , and $c$ are integers. $a \ge 0$ .

Multiply both sides of the slope-point form equation of this line by $5$ :

$l:\; 5 y + 5 = -2x -10$ .

Add $(2x-5)$ to both sides of the equation:

$l: \; 2x + 5y = -15$ .

Therefore, the equation of this line in standard form is $l: \; 2x + 5y = -15$ .

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3 years ago

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son4ous [18]

Answer:

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Step-by-step explanation:

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