12 inch=1 ft
7 x 12=84 inches
84/15=5.6, so he can cut 5 , 15 inch piecs with .6 left over.
Answer:
The measure of the arc of the circular basin = 136°
Step-by-step explanation:
The measure of an angle formed when two line intercepts outside a circle is half the difference of the measure of the intercepted arcs.
Mathematically, the is represented as:
Measure of an angle = 1/2(big angle - Small angle)
This values are given in the question
Measure of an angle = Measure of angle formed by tangents to the fountain = 44°
big angle is represented by = 360°-x
small angle is represented by = x
Therefore, we have
44° = 1/2( 360° - x -x)
44° = 1/2(360° - 2x)
Cross multiply
44° × 2 = 360° - 2x
88° = 360° - 2x
88° - 360° = - 2x
-272° = -2x
x = -272/-2
x = 136°
The measure of the arc of the circular basin = 136°
Call the integers 'N' and N+1.. Their sum is 2N+1. Twice their sum is 4N+2. . . Two more than that is 4N+4 and the question says that their product is equal to that. . So write N (N+1) = 4N +4, and then solve that equation to find N. I can tell you right now, by looking at it, that N is 4. You should solve the equation.
This is question of geometric sequence, equation of growth for this matter. The explicit formula for geometric sequence is given by:
a(n) = a(0)r^(n-1)
where;
a(n) = population after time "n"
a(0) = Initial population = 65
n = time = 5 weeks
r = common ratio = (100+30)% = 1.3
Substituting, beetles after 5 weeks will be;
a(5) = 65*1.3^(5-1) = 185.65 ≈ 186 beetles
