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3 years ago

5

Circle has an area of 841π cm2. What is the diameter?

1 answer:

Maru [420]3 years ago

7 0

The diameter is approximately 32.72 cm.

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What is the center? (X-0.5)^2+(y-3.5)^2=16

pantera1 [17]

Answer:

(.5,3.5) is the center and 4 is the radius

Step-by-step explanation:

(X-0.5)^2+(y-3.5)^2=16

This is written in the form

(x-h)^2 + (y-k)^2 =r^2

where (h,k) is the center and r is the radius

(X-0.5)^2+(y-3.5)^2=4^2

(.5,3.5) is the center and 4 is the radius

5 0

3 years ago

Read 2 more answers

to make lemonade , bart poured 3 gallons of water into a large container . he added 1 gallon of lemon juice. how many quarts of

pentagon [3]

Answer:16quarts

Step-by-step explanation:

4 times 4 is 16 because 4 quarts is one gallon

5 0

3 years ago

If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))

VashaNatasha [74]

Answer

$g(f(x)) = = 16 {x}^{2} - 8x + 8$

step by step Explanation

The functions given are

$f (x)= 4x- 1$

$g(x)= {x}^{2} + 7$

We want to find:

$g(f (x))= g( 4x- 1)$

This implies that

$g(f (x))= ( (4x- 1)^{2} + 7)$

Let us now simplify

$( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}$

This implies that

$( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1$

Combine the terms to get,

$= 16 {x}^{2} - 8x + 1 + 7$

$= 16 {x}^{2} - 8x + 8$

6 0

4 years ago

Read 2 more answers

If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

3 0

4 years ago

Use calculations and words to show<br>this quadrilateral meets the<br>definition of a kite.❤

Y_Kistochka [10]

Answer:

Step-by-step explanation:

A kite is a quadrilateral that has only one line of symmetry, and bisecting diagonals.

From the graph,

AB = 6 units

BC = 8 units

CD = 8 units

AD = 6 units

i. Has exactly one pair of congruent sides. Examples are; AB = AD and BC = CD.

ii. The diagonals are perpendicular. AC is at right angle to DB.

iii. The diagonals bisect each other. AC bisects DB, or vice versa.

Therefore, quadrilateral ABCD is a kite.

8 0

3 years ago