Answer:
Solution 2. A right triangle is formed with the bottom of the flagpole, the snapped part, and the ground. One leg is of length $1 ...
Missing: picture way barely
Step-by-step explanation:
A flagpole is originally $5$ meters tall. A hurricane snaps the flagpole at a point $x$ meters above the ground so that the upper part, still attached to the stump, touches the ground $1$ meter away from the base. What is $x$?
$\text{(A) } 2.0 \qquad \text{(B) } 2.1 \qquad \text{(C) } 2.2 \qquad \text{(D) } 2.4 \qquad \text{(E) } 2.5$
Solution 1
The broken flagpole forms a right triangle with legs $1$ and $x$, and hypotenuse $5-x$. The Pythagorean theorem now states that $1^2 + x^2 = (5-x)^2$, hence $10x = 24$, and $x=\boxed{2.4}$.
(Note that the resulting triangle is the well-known $5-12-13$ right triangle, scaled by $1/5$.)
Solution 2
A right triangle is formed with the bottom of the flagpole, the snapped part, and the g
Answer:
this is suppose to be in Spanish not math
Step-by-step explanation:
Answer:
The answer is:
58 km/hr
16.1 m/s
Step-by-step explanation:
406 km in 7h
x km in 1h
x= 1 x 406/7
x= 58 km/hr
58 km/hr ⇒⇒⇒⇒⇒⇒ 16.1 m/s
Lagrange multipliers:







(if

)

(if

)

(if

)
In the first octant, we assume

, so we can ignore the caveats above. Now,

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of

.
We also need to check the boundary of the region, i.e. the intersection of

with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force

, so the point we found is the only extremum.
Answer:
Nice to hear that, congrats with practice 7.3