ASAP-- Pls show work too TY

Step-by-step explanation:

So we know that Θ is acute and that:

First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.

The Pythagorean Identity is:

We know that cosine is 6/7. Substitute:

Square:

Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:

Subtract:

Take the square root of both sides:

Simplify:

As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative

and we're done!

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%