Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let
denotes the length of the side opposite to the
acute angle, and
be the length of the side next to this
acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the
acute angle. The answer will be
.
There's a shortcut to the answer. Notice that
. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the
angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship
holds for all acute angles? (That is,
?) It turns out that:
Answer:RT is congruent to WX
Step-by-step explanation:
Because she needs 3 blankets and it takes 15 day per blanket(rate is given), she needs 3x15 or 45 days. She has 60 days so she can volunteer at most 15 days.
answer: s≤15
Answer:
The value of k is -5.
Step-by-step explanation:
To find the value of k, start by using the known information we have in the equation for slope. The equation is below.
m(slope) = (y2 - y1)/(x2 - x1)
In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.
-1/5 = (-7 - k)/(6 + 4)
-1/5 = (-7 - k)/10
Now we can use cross multiplication to solve for k.
-1/5 = (-7 - k)/10
-1*10 = 5(-7 - k)
-10 = -35 - 5k
25 = -5k
-5 = k