Answer:
a = 24
r = 1/2
<h3>8th term = ar^(n-1)</h3><h3> = 24. (1/2)^-1/2</h3>
Answer:
And then the rectangular coordinates for this case are :

Step-by-step explanation:
We have the following point given
and we want to conver from polar to rectangular coordinates and we need to use the following formulas:


For this case we have that:
And:

Replacing we got:
And then the rectangular coordinates for this case are :

Answer:
Circumference: 12π
Area: 36π
Step-by-step explanation:
The equation for the circumference of a circle is:
C = πd
Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.
C = 12π
And now we have found the circumference of the circle.
The equation for the area of a circle is:
A = πr²
Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:
12 = 2r
r = 6
Now that we know r, we can find the area of the circle:
A = π(6)²
A = 36π
Now we have found the area.
So the circumference is 12π and the area is 36π.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
see explanation
Step-by-step explanation:
Expressing as equations
9x + 10y = 297 → (1) ← that is B
8x + 5y = 194 → (2) ← that is D
To solve the system of equations, multiply (2) by - 2
- 16x - 10y = - 388 → (3)
Add (1) and (3) term by term to eliminate the term in y
(9x - 16x) + (10y - 10y) = (297 - 388), that is
- 7x = - 91 ( divide both sides by - 7 )
x = 13
Substitute x = 13 into either of the 2 equations and solve for y
Using (1), then
(9 × 13) + 10y = 297
117 + 10y = 297 ( subtract 117 from both sides )
10y = 280 ( divide both sides by 10 )
y = 28
Cost of a small box of candy = $13
Cost of a large box of candy = $28
The exponent for that would be 13^3.
If the answer is incorrect, then i am sorry.