Answer:
? = 50°
Step-by-step explanation:
? = 180° - 130° = 50°
We know that
the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
a=7.07 units
C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units
Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²
the area of triangle is 34 units²
Looking at the table everything is correct if that is what you are asking.
72 miles ... 6 inches
x miles = ? ... 1 inch
If you would like to know the scale of the map, you can calculate this using the following steps:
72 * 1 = 6 * x
72 = 6 * x /6
x = 72 / 6
x = 12 miles
Result: 12 miles represent 1 inch on the map.
Answer:
For the Chinese students the mean is 6.8 and the median is 7. The mode is 6 and the range is 5.
Step-by-step explanation:
The mean is just the Sum of all the number on the left columns divided by the number students. The sum is 204 and there are 30 students. So divide 204 by 30 and you get 6.8.
To find the median for Chinese students, all you need to do is arrange the numbers from least to greatest and then find the number,or numbers, that are left in the middle. So you cross off numbers on both ends until you get to the middle. Ex: you are given the numbers 12,7, and 5. Arrange them like so, 5, 7, 12. cross off the numbers on the sides and you get 7 as your median. Because 30 is divisible by 2, you end up with two numbers in the middle. When that happens, you add both middle numbers together and then divide by 2.
Finding the mode shouldn't be too hard if you've arranged the numbers from least to greatest. The mode is just the number you see most often in a set of data. In this case, 6 is the most common number of letters a Chinese student has.
Lastly, to find the range, you need to find the lowest value or number and subtract it from the highest value or number. Here the highest value is 9 and the lowest is 4. So 9 - 4 = 5.
