Justin wants to paint his room. So he put together some
quotations from two different painters. The first painter's total charge was
based on the number of hours (denoted as x) worked was modeled as
f( x ) = 70 + 5 x, while that of the second painter was
g( x ) = 30 + 15 x. Justin knows that it will take more than 4
hours to decorate the house so he was certain to go with the first painter
whose cost is low-priced when the number of hours is above 4 hours.
X=1
Y=1
Step-by-step explanation:
.....................
⇒ Based on the given rules of "Fire-Water-Sponge," outcomes 1<span>, </span>5<span>, and </span>8 are outcomes where you lose.
<span>Therefore, </span><span>1,5, and 8</span><span> are the subset of outcomes where you lose, and we now can say that the statements "The subset consists of all of the outcomes where your friend wins" and "The subset consists of all of the outcomes where you do not win, and there is not a tie" accurately describe the subset.
</span>
Furthermore, because every subset outcome involves you losing, the statements "The subset consists of all of the outcomes where you win" and "The subset consists of all of the outcomes where there is a tie" do not accurately describe the subset.

The statements that accurately describe the given subset of the sample space are:

<span>The subset consists of all of the outcomes where your friend wins.
</span><span>

</span>The subset consists of all of the outcomes where you do not win and there is not a tie.
Answer:
B. 147 feet
Step-by-step explanation:
We can easily imagine a right triangle for this problem. The height of the triangle is what we're looking for (x), at the bottom of x, we have the right angle formed by the building and the ground. The other side of that right angle is the distance to the car (300 ft). On top of the x side, we have the angle of 63 degrees looking down, since Craig is looking down by 27 degrees (90 - 27 = 63).
We can easily apply the Law of Sines that says:

Then we can isolate c and fill in the values:

So, we know Craig's eyes are 153 feet above ground... since Craig is 6 feet tall, the balcony sits at 147 feet high (153 - 6 = 147).