The formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
an=nth term
a=first term
n=number of terms
thus our first term will be:
a1=8
a2=8+(2-1)(-6)=2
a3=8+(3-1)(-6)=-4
a4=8+(4-1)(-6)=-10
a5=8+(5-1)(-6)=-16
a5=-16
thus the sequence will be:
8,2,-4,-10,-16...
Move all the logarithms on the left hand side, and all the constants on the other:
Use the rule of logarithms
To rewrite the equation as
Evaluate 2 to the power of each side:
Multiply both sides by 2x:
Answer:
<h2>1. {x | 1 < x < 3}</h2>
Step-by-step explanation:
x + 2 < 5 <em>subtract 2 from both sides</em>
x + 2 - 2 < 5 - 2
x < 3
x - 7 > -6 <em>add 7 to both sides</em>
x > 1
From x < 3 and x > 1 we have 1 < x < 3
Answer:
65 cm
Step-by-step explanation:
See the attached image. The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.
Warning: This might be rough...
First draw it out. Label the angles at the corners of the triangle 60 (definition of equilateral triangles). Now draw a line from the center of the circle to the corner, splitting the corner in half. Label this line R and a corner as 30 degrees. No to find the height of this triangle, you do rsin(30). The base of this triangle is 2rcos(30). Now find the area of this mini triangle (rsin(30)*2rcos(30)/2=r/2*rsqrt(3)/2=r^2sqrt(3)/4). Now multiply this by 3 because you have 3 mini triangles... to get...
<span>r^2 3sqrt(3)/4</span>
