Find P, Q, R, S I need really need help

Mathematics

1 answer:

Effectus [21]3 years ago

8 0

The triangle with sides p, q, and s is a 45º-45º-90º triangle, so p = q and s = √2*p = √2*q.

The triangle with sides 12, r, and q is a 30º-60º-90º triangle, so r = 2*12 or r = 24 and q = 12√3.

Then p = 12√3 and s = √2*12√3 or s = 12√6.

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Help me please........

svetoff [14.1K]

Answer:

∠ XZY ≈ 23.6°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sinXZY = $\frac{opposite}{hypotenuse}$ = $\frac{XY}{YZ}$ = $\frac{6}{15}$ , then

∠ XZY = $sin^{-1}$ ( $\frac{6}{15}$ ) ≈ 23.6° ( to 1 dec. place )

4 0

3 years ago

Graph the six terms of a finite series where a1 = −3 and r = 1.5.

s344n2d4d5 [400]

We are given the first term and the common ratio, this means they belong to a geometric series.

For the given series:

$a_{1}=-3 \\ 
r=1.5$

Each term of the geometric series is obtained by multiplying the previous term by common ratio.

So the next terms will be:

-4.5, -6.75, -10.125, -15.1875, -22.78125

The general formula for the G.P would be:

$a_{n}=-3(1.5)^{n-1}$

On plotting the series, the result will be like this: