3. If a ladder is x feet long, how high up a wall can it safely reach?

Mathematics

1 answer:

sineoko [7]3 years ago

6 0

Answer:

xsin∅

Step-by-step explanation:

If the ladder is x foot long, and it can safely make a maximum angle ∅ with the floor, then, the maximum height it can reach will be xsin∅

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Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.

Brut [27]

Define unit vectors along the x-axis and the y-axis as $\hat{i} , \, \hat{j}$ respectively.

Then the vector from P to Q is
$\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}$
In component form, the vector PQ is (-8,5).

The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434

Answer:
The vector PQ is (-8, 5) and its magnitude is √89 (or 9.434).

4 0

3 years ago

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Geometry Helps please (Only correct Answers only please) Thanks!

nlexa [21]

Answer:

301.44 cubic units

Step-by-step explanation:

$volume \: of \: cone \\ \\ = \frac{1}{3}\pi {r}^{2} h \\ \\ = \frac{1}{3} \times 3.14 \times {(6)}^{2} \times 8 \\ \\ = \frac{1}{3} \times 3.14 \times 36 \times 8 \\ \\ = 3.14 \times 12 \times 8 \\ \\ = 301.44 \: {units}^{3} \\ \\ \red{ \bold{volume \: of \: cone = 301.44 \: {units}^{3}}}$