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Cloud [144]
3 years ago
7

A circle has a radius of 5/6 units and is centered at (3.6,7.8)

Mathematics
1 answer:
romanna [79]3 years ago
8 0

Answer:

(x-3.6)^2 + (y-7.8)^2 = (5/6)^2

Step-by-step explanation:

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Determine if the two lines y=2x-3/2 and y=-2x+2/3 are parallel, perpendicular or neither
8_murik_8 [283]
They’re both perpendicular, I used a graphing calculator to get the interpret answer
5 0
3 years ago
A waitress sold 15 ribeye steak dinners and 18 grilled salmon​ dinners, totaling ​$559.81 on a particular day. Another day she s
Orlov [11]

Let  the steaks = X and the salmon = y.

Set up two equations:

15x + 18y = 559.81

19x + 9y = 583.66

Now using the elimination method:

Multiply the second equation by -2, then add the equations together.

(15x+18y=559.81)

−2(19x+9y=583.66)

Becomes:

15x+18y=559.81

−38x−18y=−1167.32

Add these equations to eliminate y:

−23x=−607.51

Divide both sides by -23 to solve for x:

x= -607.51 = -23 = 26.413478

Now you have the cost for a steak.

To solve for the cost of the salmon, replace x with the value in the first equation and solve for y.

15(26.413478) + 18y = 559.91

396.202174 + 18y = 559.81

Subtract 396.202174 from both sides:

18y = 163.607826

Divide both sides by 18:

y = 163.607826 / 18

y = 9.089324

Round both x and Y to the nearest cent:

X (Steaks) =$26.41

Y (Salmon) = $9.09

7 0
3 years ago
A car travels 250 km east, then turns 25° south of east and goes 115 km. What is the resultant distance traveled?
Firlakuza [10]

Answer:

The distance traveled is 357.54km.

Step-by-step explanation:

The situation is illustrated in the figure attached.

From the law of cosines the distance d is given by

d^2 = (250km)^2+(115km)^2-2(250km)(115km)cos(155^o)

d^2 = 127837.698 km^2

\boxed{d = 357.54km}

4 0
3 years ago
Plzzz hurry up and help me if A+B=45<br>prove that <br>(1+tanA)(1+tanB)=2​
Solnce55 [7]

Answer:

see explanation

Step-by-step explanation:

If A +B = 45° then tan(A+B) = tan45° = 1

Expanding (1 + tanA)(1 + tanB)

= 1 + tanA + tanB + tanAtanB → (1)

Using the Addition formula for tan(A + B)

tan(A+B) = \frac{tanA+tanB}{1-tanAtanB} = 1 ← from above

Hence

tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )

tanA + tanB + tanAtanB = 1 ( add 1 to both sides )

1 + tanA + tanB + tanAtanB = 2

Then from (1)

(1 + tanA)(1 + tanB) = 2 ⇒ proven

7 0
3 years ago
Which of the following statements follows from (x - 3)2 = 5?
Leokris [45]
I think the answer should be A correct me if I’m wrong tho
6 0
3 years ago
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