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3 years ago

in Circle G R = 3 units Maria draws a circle with double the area of circle G what is the area of Maria's Circle?

Mathematics

1 answer:

Stels [109]3 years ago

8 0

Answer:

18 $\pi$ $units^{2}$

Step-by-step explanation:

area of circle: $\pi r^{2}$

A of circle G: $\pi (3)^{2}$ = 9 $\pi$

Maria's circle has double the area of circle G, so it has 2 * 9 $\pi$ = 18 $\pi$ $units^{2}$

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How do I solve this equation for x?

tester [92]

1) Divide both sides by 2
2x+12^2/3 =16

2) Solve the exponent
2x+12^2/3 =16

(2x+12^2/) ^3/2 =16^3/2 ( raise both sides to power)

2x+12 = 64

3) Subtract 12 from both sides
2x + 12 - 12 = 64-12

2x = 52

4) divide both sides by 2
2x/2 = 52/2

x = 26

Final answer : x = 26

7 0

2 years ago

Graph y=-6(3)^x please do the table and the graph 20 POINTS!

Margarita [4]

Answer:

Explanation to the answer below... (Answers in the Explanation)

Step-by-step explanation:

We Know that our rule is y = $y = -6(3)^{x}$ , which means we can use this rule to find y from x. Since we don't know what X, is, we have to assume numbers like 1, to 7. And there is no space to write on the graph, I'll put a virtual copy of a graph.

1st Point,

$y = -6(3)^{x}\\y = -6(3)^{1}\\y = -6(3)\\y = -18\\x = 1, y = -18$

2nd, point

$y = -6(3)^x\\ y = -6(3)^2\\y = -6(9)\\y = -54\\x = 2, y = -54$

3rd Point

$y = -6(3)^x\\y = -6(3)^3\\y = -6(27)\\y = -162\\x = 3, y = -162$

4th Point

$y = -6(3)^4\\y = -6(81)\\y = -486\\x = 4, y = -486\\$

5th Point

$y = -6(3)^5\\y = -6(243)\\y = -1458\\\x = 5, y = -1458$

6th Point

$y = -6(3)^x\\y = -6(3)^6\\y = -6(729)\\y = -4,374\\x = 6, y = -4,374\\$

7th Point (Last Point)

$y = -6(3)^x\\y = -6(3)^7\\y = -6(2,187)\\y. = -13,122\\x = 7, y = -13,122$

Let's now plot them on the Graph, the values are so big, the graph might look a little odd.

Always remember that we can continue the points infinitely, and there is no stop, The Graph is attached below...

4 0

2 years ago

A spherical paintball measures 1.5 centimeters in diameter. Approximately how much paint is in it?

algol [13]

In this problem, you are asked to compute for the volume of the spherical paintball. The formula in computing the volume of the sphere is:

V = 4/3 (pi) r^2

Where r = the radius of the sphere

Since the given measurement is in diameter, you need to compute the radius of the sphere. The radius of the sphere is half its diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).

Substituting the radius to the formula and using 3.14 as the value of pi:

V = 4/3(3.14)(0.75)^2

V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic centimeter is equal to mL)

Therefore, there are approximately 2.36 mL of paint in the paintball.

3 0

3 years ago

Mutiply 4y-4w^8-3y^5w^3

sukhopar [10]

Answer:

48y⁶w¹¹

Step-by-step explanation:

[-3y⁵][4y] → -12y⁶

[w³][-4w⁸] → -4w¹¹

______

48y⁶w¹¹

I am joyous to assist you anytime.

8 0

3 years ago

Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.

qwelly [4]

Answer:

The equation is $y=x-9$

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is: $y=mx+b$