X equals the square root of 6-x
x= the eqaution for number 2
Answer:
C. The triangles are not similar.
Step-by-step explanation:
Divide the short sides and long sides to see if they are similar:
24/16 = 1.5
36/28 = 1.29
The triangles are not similar.
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
Answer:
-13
Step-by-step explanation:
42-55=-13
We simply need to find a common denominator. The common denominator between the two (LCM/Least common multiple for denominator) is 24.
Now, we multiply the numerators also. We have our new numbers: 2 8/24 for October, 12/24 for November, and 3 9/24 for December. Now, we have to add them together. 2 8/24 + 12/24 = 2 20/24
Now, add the December value to the combined October/November values.
2 20/24 + 3 9/24 = 5 29/24
Now, we need to simplify the fraction.
6 9/24
Answer: 6 3/8 inches of rain occured in the three months.