Answer:
x = 24.1
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 15°
Adjacent = 90
Opposite = x =?
The value of x can be obtained by using Tan ratio as shown below:
Tan θ = Opposite / Adjacent
Tan 15 = x / 90
Cross multiply
x = 90 × Tan 15
x = 24.1
Therefore, the value of x is 24.1
Using the combination formula, it is found that there are 220 ways to decide which countries to skip.
The order in which the countries are skipped is not important, hence the <em>combination formula </em>is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem, 3 countries are skipped from a set of 12, hence the number of ways is given by:
More can be learned about the combination formula at brainly.com/question/25821700
#SPJ1
Answer:
21.25
Step-by-step explanation:
use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem
the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle
17^2+12.75^2=x^2
x^2=7225/16
now take the square root of both sides and you get -21.25 and 21.25
distance CAN NOT be negative so -21.25 isn't an option
Since the transformation occurring is rotation at 180
degrees about the origin, then the resulting image would be a reflection of the
original image. Additionally, since the rotation is 180 degrees, then there is
a movement of 2 quadrants for the corners A, B and C.
<span>Therefore this would also mean that if point A is in
coordinate (x, y) then point A’ would be in coordinate (-x, -y). Similar is
true with point B and point C and their corresponding reflection corners point
B’ and point C’. So for example if point A is located at (-5, 3) then point A’
must be at (5, -3).</span>
Who’s thattt IS THAT A BOT OR SOMETHINF AND DO U NEED HELP?
