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3 years ago

Write an expression that represents the area of a circle with radius 3x^3. (For any circle with radius r, a=π r^2 = π .r .r ^.)

Mathematics

1 answer:

aalyn [17]3 years ago

6 0

9514 1404 393

Answer:

B. 9πx^6

Step-by-step explanation:

Putting the given radius into the area formula gives ...

A = πr^2

A = π(3x^3)^2 = π(3^2)(x^(3·2))

A = 9πx^6

You might be interested in

If ΔABC ≅ ΔDEF, then what corresponding parts are congruent?

GaryK [48]

The corresponding parts that are congruent are (a) AB and DE

<h3>How to determine the congruent parts?</h3>

The statement ΔABC ≅ ΔDEF means that the triangles ABC and DEF are congruent.

This implies that the following points are corresponding points:

A and D; B and E; C and F

When two corresponding points are joined together, the congruent parts are:

AB and DE, AC and DF, BC and EF

Hence, the corresponding parts that are congruent are (a) AB and DE

Read more about congruent triangles at:

brainly.com/question/1675117

#SPJ1

3 0

2 years ago

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the following sequen

xenn [34]

Answer:

a8=10935

Step-by-step explanation:

A geometric sequece is a sequence of the form

$a_n=a\cdit r^{n-1}$

in our case we know that $a=a_1=5$ and $r=3$ , hence

$a_8=5 \cdot 3^7=10935$

6 0

3 years ago

The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.

Elena-2011 [213]

9514 1404 393

Answer:

zeros: t = 1, t = -1/2
no: the domain of the function is t ≥ 0
8 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

1 -t = 0 ⇒ t = 1

8 +16t = 0 ⇒ t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

When t = 0 (at the time the ball is thrown), the function value is ...

h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

7 0

3 years ago

After eating at a restaurant, Mr. Jackson’s bill before tax is $42.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 2

USPshnik [31]

Answer:

$3.40

Step-by-step explanation:

Look at image above...

6 0

2 years ago

Game Go charges $0.79 per game rental and a membership fee of $24. Action Games charges $1.19 per game rental. With how many gam

nexus9112 [7]

Answer:

x=60

Step-by-step explanation:

Simplifying

0.79x + 24 = 1.19x

Reorder the terms:

24 + 0.79x = 1.19x

Solving

24 + 0.79x = 1.19x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.19x' to each side of the equation.

24 + 0.79x + -1.19x = 1.19x + -1.19x

Combine like terms: 0.79x + -1.19x = -0.4x

24 + -0.4x = 1.19x + -1.19x

Combine like terms: 1.19x + -1.19x = 0.00

24 + -0.4x = 0.00

Add '-24' to each side of the equation.

24 + -24 + -0.4x = 0.00 + -24

Combine like terms: 24 + -24 = 0

0 + -0.4x = 0.00 + -24

-0.4x = 0.00 + -24

Combine like terms: 0.00 + -24 = -24

-0.4x = -24

Divide each side by '-0.4'.

x = 60

Simplifying

x = 60

8 0

3 years ago