What is the formula for the following geometric sequence? -5, -10, -20, -40

A circle with center at (12,−1) passes through (0,−1). Find the circumference and area of the circle in terms of p.

madreJ [45]

Answer:

C = 75.36

A = 452.16

Step-by-step explanation:

Find the radius r by finding the distance between (12,-1) and (0,-1) using the distance formula.

$d = \sqrt{(12-0)^2 + (-1--1)^2} =\sqrt{(12)^2 + (0^2} =\sqrt{144+0} =\sqrt{144}=12$

The radius is 12.

So the circumference of the circle is $C = 2\pi r = 2\pi 12 = 24\pi = 75.36$

So the area of the circle is $A = \pi r^2\\A = \pi 12^2\\A = 144\pi\\A = 452.16$

6 0

3 years ago

Say that you own property with a market price of $74,000. The state tax assessors have given it an assessed value of 48% of that

BigorU [14]

Answer:

A

Step-by-step explanation:

74,000 x .48 = 35520. 35520 is the amount of property you have to pay for.

35520 x 0.031 = 1,101.12. 1.101.12 is the amount you owe in property tax.

5 0

3 years ago

A boat takes 5 hours to go upstream. It can go 50 miles downstream in the same time. Find the rate of the current in the rate of

natka813 [3]

Answer:

Rate of current is 3 miles per hour and speed of the boat in still water is 7 miles per hour.

Step-by-step explanation:

This question is incomplete; find the complete question here.

A boat travels 20 miles upstream in 5 hours. Going downstream, it can travel 50 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water.

Let the speed boat in the still water = x miles per hour

and the speed (rate) of the current = y miles per hour

Speed of the boat to go upstream (against the current) will be = (x - y)miles per hour

Since boat takes 5 hours downstream to travel 50 miles then from the formula,

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$5=\frac{50}{(x+y)}$

(x + y) = 10 -------(1)

Boat takes 5 hours to travel 50 miles upstream then,

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

5 = $\frac{20}{(x-y)}$

x - y = 4 -----(2)

By adding equation (1) and question (2)

(x + y) + (x - y) = 14

2x = 14

x = 7 miles per hour

From equation (1),

7 + y = 10

y = 3 miles per hour

Therefore, Rate of current is 3 miles per hour and speed of the boat in still water is 7 miles per hour.

5 0

3 years ago

One end of a cable is attached to the top of a 60-foot pole. The other end is attached to the ground at a distance of 25 feet fr

lbvjy [14]

This is a simple $A^2 + B^2 = C^2$ Pythagorean Theorem problem.

So here we go:

Imagine a right triangle with 2 legs and a hypotenuse.
The Pole is the vertical leg. The Cable is the hypotenuse. The distance on the ground between the cable and the pole is the 3rd leg.

We are trying to find the hypotenuse which is C in our Pythagorean Theorem.

Thus:
$60^2 + 25^2 = C^2$

Add the squares:

$3600 + 625 = 4225 = C^2$

Now take the square root of both sides:
*Remember that in triangles, we cannot have a negative value for the length. (If it's possible, please contact the Nobel Prize admins).

$\sqrt{C^2} = C = \sqrt{4225} = 65$

Thus:

$C = Length = 65 ft$

4 0

4 years ago

Can you explain how you got the answer?

Paladinen [302]

Answer:

Find the stated lengths and values of rectangle M 26 N

LMNO. Round to the nearest tenth. P 5a - 7 2a + 8 240 9. MO

10. LP O 11. LM 12. ZNMO Find the missing leng..

4 0

3 years ago