The radius of Venus is 3760.4 miles. What is the approximate volume of Venus?

Answers

Answer 1
Answer: Venus is a planet, hence is spherical shaped.

Formula for Volume of a Sphere: 4/3πr^2

Apply this formula
4/3π(3760.4)^2=59232040.95 miles^3

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A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answers

Answer:

128.86 square centimetres

Step-by-step explanation:

I will assume that the shaded region is the area in between the circle and the rectangle.

All we have to do is find the area of the circle and subtract it from the area of the rectangle.

Area of a circle is given as:

A = \pi r^2

where r = radius

The radius of the circle is 1 cm, so, the area of the circle is therefore:

A = \pi * 1^2 = 3.14 square centimetres

The area of a rectangle is given as:

A = L * B

The dimensions of the rectangle are 11 cm by 12 cm. The area of the rectangle is:

A = 11 * 12 = 132 square centimetres

The area of the shaded part is therefore:

A = 132 - 3.14 = 128.86 square centimetres

What equals x and y?

Answers

y = -x/4 + 4
x +2y = 6

We need to solve y= -1/4 x + 4 for y
Let's start by substitute -1/4 x +4 for y in x+2y=6
x + 2y =6
x + 2(-1/4 x+4) =6
1/2 x + 8 =6
1/2 x = 6 - 8
1/2 x = -2
x = -2/1/2
x = -4
Now we need to find the value for y
Let's find it by substitute -4 for x in y= -1/4 x +4
y = -1/4 x + 4
y= -1/4 (-4) +4
y= 4/4 + 4
y = 1 + 4
y= 5

Answer : Y=5 and x= -4

I hope that's help... If you have any questions please let me know !
Good night :)
Make both equal to y and make one equatation: (6-x)/2=-x/4+4.now simply calculate that: 2-1/2x=1/4x+4
2-4=1/4x+2/4x
-2=3/4x
-2*4/3=x
-8/3=x.

Now y is (6-(-8/3))/2
(6+8/3)/2=y
1.125=y.

If this is wrong I'm sorry but I think it is right.

Maggie has $14,100 to invest, and wishes to gain $4,000 in interest over the next eight years. Approximately what is the minimum simple interest rate Maggie needs to reach her goal?

Answers

Given:
Principal: 14,100
Interest:4,000
term: 8 years
rate: ?

We'll use the simple interest rate formula to get the interest rate needed.

Simple Interest = Principal * Interest Rate * Term
4,000 = 14,100 * Interest rate * 8 years
4,000 = 112,800 * Interest rate
4,000 / 112,800 = Interest rate
0.03546 = Interest rate

0.03546 * 100% = 3.546% or 3.55% is the interest rate needed.

S.I = 14,100 * 0.0355 * 8
S.I = 500.55 * 8
S.I = 4,004.40

Answer:40001

Step-by-step explanation:

Solve by factoring. x2 - 49 = 0

Answers

The solution to the given quadratic equation buy factoring is: x = -7 or 7

How to solve quadratic equations?

A quadratic equation is an equation of degree 2 and has the standard form: ax² + bx + c = 0, with a ≠ 0

We can solve quadratic equations by:

- Completing the square

- Quadratic formula

- Factoring

We are given the quadratic equation as:

x² - 49 = 0

Factoring this gives us:

(x + 7)(x - 7) = 0

Thus:

x - 7 = 0 or x + 7 = 0

x = -7 or 7

Read more about quadratic equations at: brainly.com/question/1214333

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Answer:

Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0

Step-by-step explanation:

Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0

David, Malachy and Paul share some sweets in the ratio 4:3:3. David gets 24 sweets. How many did Paul get?

Answers

If David, Malachy and Paul share some sweets in the ratio 4:3:3 then Paul get 7.2 number of sweets

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that David, Malachy and Paul share some sweets in the ratio 4:3:3

All three shared 24 sweets together.

Let x be the number of sweets

4x+3x+3x=24

Add the like terms

10x=24

Divide both sides by 10

x=2.4

Now paul has 3x sweets so 3×2.4=7.2

Hence, Paul get 7.2 number of sweets

To learn more on Ratios click:

brainly.com/question/13419413

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• Let.David,Malachy,Paul sweets be =4x,3x,3x

4x+3x+3x=24
10x=24
x=24/10
x=2.4
Since Paul=3X=3*2.4

=7.2

• hence the Paul get 7.2

which term can be added to the list so that the greatest common factor of the three terms is 12h3? 36h3, 12h6,

Answers

Any multiple of 12h^3.

Remember that the greatest common factor is the common terms raised to the lowest power. Then you can include any terms that includes 12h^3

For example, 12h^3, or 24h^12, 60h^9, etc. 

Hope This Helps!