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steposvetlana [31]
3 years ago
10

A car travels 85 miles at an average speed of 34 mph. How many minutes does the journey take?

Mathematics
1 answer:
aksik [14]3 years ago
4 0
Distance = rate*time
time = distance/rate

2.5 hours or 150 minutes
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Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=
lys-0071 [83]

Answer:

\bold{x =cos\theta}\\\bold{y=sin\theta}

Step-by-step explanation:

The given system of linear equations is:

(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0

We have to solve the equations for the values of x, y.

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by sin\theta and second equation by cos\theta

Now, the equations become:

(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)

Now, let us add (1) and (2):

(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta

Using the equation:

(-sin\theta)x+(cos\theta)y=0

Putting value of y:

\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta

So, the answer to the system of linear equations is:

\bold{x =cos\theta}\\\bold{y=sin\theta}

7 0
3 years ago
Extra point brainllyest plz answer asap 4 2/5 + 5 2/6
g100num [7]
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5 0
3 years ago
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The large square pictured below represents one whole.
kenny6666 [7]

Answer:

Its (c) 0.02

Step-by-step explanation:

5 0
3 years ago
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Factor the polynomial. x2 - 6x + 9 A) (x - 9)(x - 1) B) (x - 3)(x + 3) C) (x + 9)(x + 1) D) (x - 3)(x - 3)
mihalych1998 [28]
X² - 6x +9
x          -3
x          -3

D)   (x - 3) (x -3) is your answer

To check, do your FOIL
x(x) = x^2
x(-3) = -3x
-3(x) = -3x
-3(-3) = 9
x^2 -6x +9  True

hope this helps


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3 years ago
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Please help with this anyone
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You distribute the 4 to both x and 5. 4 times x is 4x and 4 times 5 is 20. Divide both sides by 4. X=5
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