Answer:
1. Alternate angles, 2. Right angle, 3. Acute Angle, 4. Reflex angle
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
You would take 5% as a decimal (0.05) and multiply 860 by the decimal.
Answer:
P=18
Step-by-step explanation:
45/20= 40.5/P
45p=810
p=18
Answer:
312 cm³
Step-by-step explanation:
volume of triangular prism = area of triangle x length
area of triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 8 x 6 = 24 cm²
Therefore, volume of the prism = 24 x 13 = 312 cm³
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
