To get the total number of games possible, we will use the combination formula.
Total number of games :
= 45
Total of 45 games in the whole tournament.
Meanwhile, if there would be boy-versus-boy, we will have
The answer is 10.
The fraction for boy-versus-boy game will be
10/45 or 2/9 when simplified.
Angle R is the reference angle as its the only given angle (other than the 90 degree angle).
Opposite angle R is segment PQ
PR is the hypotenuse
Use the sine rule to find that...
sin(angle) = opposite/hypotenuse
sin(R) = PQ/PR
sin(19) = PQ/11
11*sin(19) = PQ
PQ = 11*sin(19)
PQ = 3.58124969902872 <<-- use a calculator (degree mode)
PQ = 3.58
Answer: 3.58
Incomplete Question the Complete Question is here
Refer to the diagram below. Surveyors know that ∆PQR and ∆STR are similar. What is PQ, the distance across the lake?
3.20 km
3.60 km
2.80 km
3.24 km
Answer:
The Last option is correct 3.24 km
Therefore the distance across the lake is PQ = 3.24 km.
Step-by-step explanation:
Given:
ΔPQR and ΔSTR are Similar
ST = 1.80 km
TR = 1.25 km
QR = 2.25 km
To Find:
Distance across the lake, PQ = ?
Solution:
ΔPQR ~ ΔSTR ..........Given:
If two triangles are similar then their sides are in proportion.
Substituting the values we get
Therefore the distance across the lake is PQ = 3.24 km.
There are 42 students in sixth grade.
Answer:
Step-by-step explanation:
To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box. Approximately the middle 50 percent of the data fall inside the box. The “whiskers” extend from the ends of the box to the smallest and largest data values. The median or second quartile can be between the first and third quartiles, or it can be one, or the other, or both. The box plot gives a good, quick picture of the data.
