The formula to find the perimeter of a rectangle is P= 2(l+w). By substituting what we now knowin to the equation:
•42=2(l+(2/5l)). We can have width represented at (2/5l) because it’s now 2/5 of the length. Now add them together to get a single coefficient for l.
•42= 2(7/5l). Multiplying 7/5 by 2.
42= (14/5l). Multiplying both sides by the reciprocal of 14/5, which is 5/14, to get l by itself.
•l= 15.
Now that we now know the value of l, we know that the length is 15m. To find the width of the answer, we then multiply 15 by 2/5, which equals 6. Therefore, the only third option is correct because the length is 15m and the width is 6m.
3x = 5y - 1
(3,3)...not a solution
(7,4)...not a solution
(-1/3,0)...is a solution
(-2,-1)...is a solution
Answer:
x = 2
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to solve for x
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
x² = 14² + 10² = 196 + 100 = 296
Take the square root of both sides
x = 
= 2
(a + 1)(a² + 2a + 1)
= a(a² + 2a + 1) + 1(a² + 2a + 1)
= a³ + 2a² + a + a² + 2a + 1
= a³ + 3a² + 3a + 1
Answer: b
The volume of the cone is
one-third of the volume of the cylinder which is equal to the product of area
of the base and the height. The equation is,
<span> V = (1/3)(pi)(r^2)h </span>
Dividing both sides of the
equation by (1/3)(pi)(h) will give us,
<span> 3V/(pi)(h) = r^2</span>
Taking the square-root of
both sides,
<span> r = sqrt(3V/(pi)(h))</span>
