Answer:
Step-by-step explanation:
log3^(2x+3) = log243
(2x+3)log3 = log243
2x+3 = log243/log3
2x = (log243/log3)-3
x = [(log243/log3)-3]/2
x = (5-3)/2
x = 2/2
x = 1
Check:
3^2(1)+3 = 243
3^2+3 = 243
3^5 = 243
3×3×3×3×3 = 243
9×9×3 = 243
81×3 = 243
243 = 243
Answer:
yes
Step-by-step explanation:
it is correct because, since x>5, anything relating x and 5 together will always put x greater than 5.
Answer:
Five times nine plus twenty
Step-by-step explanation:
Just remember the order of operations... multiplication and division are done first before adding and subtracting.
Answer:
if exterior angle is 10 degrees, then interior angle is 180 -10 = 170 deg.
Each trinaglke inside the polygon will be isosceles with two angles of 170/2 - 85 degrees each.
So, angle at centre = 180 -170 = 10 deg.
Ttal angle at centre = 360 deg.
No of sides = 360 /10 = 36 sided polygon.
b) Sum of interior angles is given by (2N-4) Right angles
So: 9900 = (2N-4)x90 = 180N - 360
180N = 9900 +360 = 10260
N = number of sides = 10260 / 180 = 57 sides
Answer:
x = -3.25
Step-by-step explanation:
2/5 = 0.4
0.4x - 0.2 = -2(3/4)
-2(3/4) = -2/1 * 3/4 = -6/4
0.4x - 0.2 = -6/4
Convert to fraction
2/5x - 1/5 = -6/4
Add 1/5 to both sides
-6/4 + 1/5 = -30/20 + 4/20 = -26/20
2/5x = -26/20
Convert to decimal
0.4x = -1.3
-1.3/0.4 = -3.25
x = -3.25
