Answer:
x = 41.2
Step-by-step explanation:
Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.
Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.
Answer:
<h2> Combination</h2>
Step-by-step explanation:
In this case the order of selection does not matter since we are concerned in the number of ways possible a set of students (5) can be grouped for a project, we are going to be using combination technique
In permutation the order of selection matters hence will not give the desired result
Answer:

Step-by-step explanation:
we know that
The circumference of a circle is equal to

In this problem we have

substitute

Remember that
subtends the arc length of the complete circle
so
by proportion
Find the measure of the central angle for an arc length of 

Answer:
About 5,000 kilograms
Step-by-step explanation:
Look on the x-axis for 18 years. Then go up to where the plotted line is on 18 years to find the y-axis or the mass.