It is substitution. Because you are substituting 3=y into x+5=3
Answer:
9 units²
Step-by-step explanation:
This is a trapezium.
The length of the two parallel lines (on top and bottom) are 5 units and 1 units.
The height of the trapezium is 3 units. Using these information, we can apply the formula for area of trapezium to find the answer.
Area = 1/2 (5 + 1) x 3 = 9 units²
I'm guessing the series is supposed to be
By the ratio test, the series converges if the following limit is less than 1.
The first
terms in the numerator's denominator cancel with the denominator's denominator:
also cancels out and the remaining factor of
can be pulled out of the limit (as it doesn't depend on
).
which means the series converges everywhere (independently of
), and so the radius of convergence is infinite.
The formula for area is pi x r^2 (pi times radius squared) so, for number 7 youre given the radius or "r", which is half the length of the inside of the cirlce. On a calculator: you would do 8 times 8 (8^2) because that's the radius squared and then you should get 64 and times 64 by 3.14 or use the pi button depending on what your teacher prefers you to use.
When you're given diameter or "d" which represents the is equal to the radius times 2. So, for example, number 8 the diameter is 26 so, the radius is 13. Use the formula for area just like in number 7 to find the area of this circle.
Make sure you pay attention to what information youre given (whether its "d", Diameter, "r" or radius. Use those two lists of steps for solving numbers 7 through 12.
For numbers 13-15: use the number (22/7) instead of 3.14 or the pi button on your calculator and do the same steps!!!!!
Let me know if you still need help after this:) happy math solving!
The correct question is
<span>In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?
we know that
in a circle
</span>2π radians -----------------> lenght of (2*π*r)
2π/3 radians--------------> X
X=[(2π/3)*(2π*r)]/[2π]=(2π/3)*r
the lenght of the arc=(2π/3)*3=2π ft
the answer is 2π ft
