<span>m∠SYD = </span>106.02°
..............................................................
Answer:7
Step-by-step explanation:
This can be solved by Venn-diagram
Given there are total 5 students who want french and Latin
also 3 among them want Spanish,french & Latin
i.e. only 2 students wants both french and Latin only.
Also Student who want only Latin is 5
Thus Student who wants Latin and Spanish both only is 11-5-3-2=1
Students who want only Spanish is 8 Thus students who wants Spanish and French is 4
Similarly Students who wants Only French is 16-4-3-2=7
Answer:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Step-by-step explanation:
This case represents a definite integral, in which lower and upper limits are needed, which corresponds to the points where both intersect each other. That is:

Given that resulting expression is a second order polynomial of the form
, there are two real and distinct solutions. Roots of the expression are:
and
.
Now, it is also required to determine which part of the interval
is equal to a number greater than zero (positive). That is:


and
.
Therefore, exists two sub-intervals:
and
. Besides,
in each sub-interval. The definite integral of the region between the two curves over the x-axis is:




The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,




c > 16.64
Therefore the smallest possible whole number is 17 inches.