Here we have an arithmetic sequence:
a 1 = 20, d = 2, n = 35
S n = n/2 * ( a 1 + a n )
a 35 = a 1 + 34 d = 20 + 34 * 2 = 20 + 68 = 88
S 35 = 35/2 * ( 20 + 88 ) = 35 / 2 * 108 = 1,890
Answer: In total, the theater seats 1,890 people
Answer:
700,000
Step-by-step explanation:
okay so to increase something by 7% you have to multiply it by 1.07
so if you divide it by 1.07, you'll find the original price
749,000 ÷ 1.07 = 700,000
Answer:
The answer is 25%
Step-by-step explanation:
1/4=.25
.25=25%
Correct question is;
Type the correct answer in the box bellow: If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is ...........
Answer:
x = 35°
Step-by-step explanation:
We are told that;
cos x = sin(20 + x)°
and 0° < x < 90°
From trigonometric identities, we know that;
cos x = sin (90 - x)
Applying to our question gives;
sin (90 - x) = sin (20 + x)°
Comparing both sides, we have;
90 - x = 20 + x
Rearranging;
90 - 20 = x + x
70 = 2x
x = 70/2
x = 35°