when a 6ft tall fence pole casts a 10 ft shadow, a pine tree casts a 45 ft shadow. How tall is the tree?

Mathematics

1 answer:

Delicious77 [7]3 years ago

7 0

Answer: The tree is 27 feet tall.

Step-by-step explanation:

Here's what we know:

6/10 = x/45 (a 6 foot object creating a 10 shadow is equivalent to something else making a 45 shadow)

We need to isolate x. Multiply both sides by 45:

6*45/10 = x

We can factor out a 2:

3*45/5 = x

We can also factor out a 5:

3*9/1 = x

27 = x

The tree is 27 feet tall.

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lianna [129]

Answer:

$\displaystyle Bottom\:Right\:Graph$

Step-by-step explanation:

Use the zero-interval test [test point (0, 0)] to verify them as false or true, and to determine whether we shade the shared opposite portions [a shared portion that does NOT contain the origin] or the shared portions that DO contain the origin:

$\displaystyle 0 ≤ 0 - 2 → 0 ≰ -2$

$\displaystyle 0 < -3[0] - 2 → 0 ≮ -2$

So, this system will be shaded in a shared opposite portion.

*NOTE; Both inequalities have an identical y-intercept of $\displaystyle [0, -2],$ so both inequalities must intersect the y-axis at $\displaystyle [0, -2],$ and since there are already lines labeled as <em>dashed</em><em> </em>and solid, we do not have to worry about it in this case.