3 years ago

Qs. If three masons construct a wall in.

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

2.5 days

Step-by-step explanation:

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2. Vectors u and v are given by: u=5i-4j+ pk v=2i+tj-3k (a) Express p in terms of t when u and v are perpendicular.

Sindrei [870]

If u and v are perpendicular, then their dot product is zero:

$\vec u \cdot \vec v = (5\,\vec\imath-4\,\vec\jmath+p\,\vec k) \cdot (2\,\vec\imath+t\,\vec\jmath - 3\,\vec k) = 10 - 4t - 3p = 0$

Solve for p :

$10 - 4t - 3p = 0$

$3p = 10 - 4t$

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2 years ago

If cosA = 3/5 and A ∈ (0,90), what is sin2A?

Hitman42 [59]

Answer:

$\frac{24}{25}$

Step-by-step explanation:

Given

cosA = $\frac{3}{5}$ = $\frac{adjacent}{hypotenuse}$

Then the opposite side using Pythagorean triple is 4, thus

sinA = $\frac{4}{5}$

Using the trigonometric identity

sin2A = 2 sinAcosA, then

sin2A = 2 × $\frac{4}{5}$ × $\frac{3}{5}$

= $\frac{2(4)(3)}{5(5)}$ = $\frac{24}{25}$

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