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iris [78.8K]
3 years ago
10

The diameter of a circle has end points j(12,4) and k(-4,8)

Mathematics
1 answer:
alexdok [17]3 years ago
4 0

Answer:

diameter = 4√17;

radius = 2√17; and

center:  (4,6)

Step-by-step explanation:

The end points J (12,4) and K(-4,8) define the diameter of a circle, as well as the radius and center.  

Using the distance formula to find the diameter, d, we get:

d = √ ( (12+4)^2 + (4-8)^2 ) = √ ( 256 + 16 ), or √272 = √(8)(34)

                                         =  √(17)(2^4)) = 4√17

and the radius is half that, or 2√17.  The coordinates of the center can be found using the midpoint rule:  ( [12-4]/2, [4+8]/2 ), or (4, 6).



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How many 2-digit numbers are multiples of 7 or 5
wolverine [178]

Answer:

2

Use the prime factorization:

7 * 5 * 1 = 35

7 * 5 * 2 = 70

4 0
2 years ago
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
Answer the photo please
alexandr402 [8]

Answer:

66.666666666667% error

Step-by-step explanation:

Percent Error = Vobserved - Vtrue / Vtrue

=  9 - 27 / 27

=  -18/27

= -66.666666666667%

= 66.666666666667% error

I hope this helps!

7 0
3 years ago
What is 53,274 in expanded form?
sweet [91]

Answer:

50,000 + 3,000 + 200 + 70 + 4

Step-by-step explanation:

Expand. Set all non-zero digits by itself:

53,274 = 50,000 + 3,000 + 200 + 70 + 4

Remember to fill in 0 for all digits. They must keep their value.

~

7 0
3 years ago
Will mark most brainlest if correct
lutik1710 [3]

Answer: each guest gets 4.19 cm²

Step-by-step explanation:

The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle

π is a constant whose value is 3.14

r represents the radius of the circle.

From the diagram,

r = 4cm

Therefore, area of the cake that he cut for himself is

120/360 × 3.14 × 4²

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The total area of the cake is

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Therefore, the rest of the cake is

50.24 - 16.75 = 33.49 cm²

The amount that each guest gets would be

33.49/8 = 4.19 cm²

8 0
3 years ago
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