The common ratio between terms is 3, so the sequence has general
-th term

for
. The term exceeds 7000 when

which means the first time
exceeds 7000 occurs when
. Indeed,

while the previous term would have been

Answer:
the area of rectangle A is 133.33 sq cm
Step-by-step explanation:
let us suppose area of rectangle A be x....hence we get ,
3:5=80/x
or,3/5=80/x
or,3x=80*5
or,x=400/3
x=133.3.3
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Answer:
Step-by-step explanation:
29 5x+8+x+4=90
6x=78
x=13
30 3x-7+11x-1=90
14x=98
x=7
31 3x+x+8=180
4x=172
x=43
32 6x-1+5x-17=180
11x=198
x=18