Answer:
a= 4.993
c = 5.824
A= 59°
C = 90°
Step-by-step explanation:
b=3, B=31°
Since it's a right angle.
C = 90°
A = 180-90-31
A= 59°
For side a and c
a/sin A = b /sin B
a = sinA * b/sin B
a= sin 59 * 3/sin31
a= 4.993
a = 5
c/sin C = b/sin B
c = sin C * b/sin B
c = sin90 * 3/sin 31
c = 1* 5.824
c = 5.824
To my understanding, it would be 275.
Step-by-step explanation:
answer b
please mark as brilliant
Answer:
a) 1+2+3+4+...+396+397+398+399=79800
b) 1+2+3+4+...+546+547+548+549=150975
c) 2+4+6+8+...+72+74+76+78=1560
Step-by-step explanation:
We know that a summation formula for the first n natural numbers:
1+2+3+...+(n-2)+(n-1)+n=\frac{n(n+1)}{2}
We use the formula, we get
a) 1+2+3+4+...+396+397+398+399=\frac{399·(399+1)}{2}=\frac{399· 400}{2}=399· 200=79800
b) 1+2+3+4+...+546+547+548+549=\frac{549·(549+1)}{2}=\frac{549· 550}{2}=549· 275=150975
c)2+4+6+8+...+72+74+76+78=S / ( :2)
1+2+3+4+...+36+37+38+39=S/2
\frac{39·(39+1)}{2}=S/2
\frac{39·40}{2}=S/2
39·40=S
1560=S
Therefore, we get
2+4+6+8+...+72+74+76+78=1560
