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ziro4ka [17]
3 years ago
5

A circle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100 Which statement is true?

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

D) The circle is centred at (-8,3) and has a diameter 20

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the circle

        ( x + 8)² +( y-3)² = 100

   ⇒ ( x + 8)² +( y-3)² = 10²

Standard form of the circle ( x-h)² +(y-k)² = r²

Centre of the circle (h , k) = (-8 , 3)

Radius of the circle  r = 10

Diameter of the circle 'd' = 2r = 2(10) =20

<u><em>Final answer:-</em></u>

The circle is centred at (-8,3) and has a diameter 20

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Answer:

Since there are two of 112 blocks, it will be 112 ÷ 2

8 0
3 years ago
What is the area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches
earnstyle [38]

The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²

<h3>How to calculate the area of a regular hexagon</h3>

The formula is given thus;

Area of hexagon = (1/2) × a × P

where a = the length of the apothem

P = perimeter of the hexagon

Given a = 18. 5 inches

Note that Perimeter, p = 6a with 'a' as side

p = 6 × 21 = 126 inches

Substitute values into the formula

Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²

Thus, the area of the regular hexagon is 1, 165. 5 In²

Learn more about the area of a hexagon here:

brainly.com/question/15424654

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3 0
2 years ago
A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a
ddd [48]

Answer: R(x) = 0.25x + 500

Flat fee is computed by:

The sales price of each tile is 0.25 and the customer only bought 10,000 tiles.

So, $0.25 x 10,000 = $2500

So the total sales price per tile sold was $2,500.

The buyer paid $3,000, so the flat fee was included there.

So, $3,000 - $2,500 = $500

So the flat fee was $500.

~

The revenue function is the total income from producing the units. And it has a equation of: R(x) = price per unit x number of units sold plus any fee that is included

So the function describing the revenue of the tile from this sale is:

R(x) = 0.25x + 500

8 0
3 years ago
Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=
Bumek [7]

Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =

Add the fractions:

\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}

Therefore, the fractions sum up to 29/28.

3 0
3 years ago
Read 2 more answers
Jim drove 436 miles using 16 gallons of gas. At this rate, how many limes would he drive using 14 gallons of gas?
almond37 [142]
The ratio here is 16:436.
The easiest way to solve this is finding how many miles Jim can drive using just 1 gallon. We can do this by dividing both sides of the ratio by 16.

16÷16 is 1
436÷16 is 27.25
so our new ratio is 1 gallon:27.25 miles.

next we simply multiply both sides by 14.
1x14=14
27.25x14=381.5 miles :)
7 0
3 years ago
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