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jasenka [17]
3 years ago
11

A credit card show Gerardo owes between 35$ and 45 $ what would be the estimated price to show how much she owe

Mathematics
1 answer:
Blizzard [7]3 years ago
8 0

Answer:

40$

Step-by-step explanation:

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The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m
Keith_Richards [23]

Answer:

a) \left(x,y\right)=\left(4.95,-4.95\right)

b) r\angle\theta = 7\angle0.5236\,\text{radians}

Step-by-step explanation:

Polar coordinates are represented as: r\angle\theta, where 'r' is the length (or magnitude) of the line, and '\theta' is the angle measured from the positive x-axis.

in our case:

7\angle\dfrac{3\pi}{4}

to covert the polar to cartesian:

x = r\cos{\theta}

y = r\sin{\theta}

we can plug in our values:

x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}

y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}

the Cartesian coordinates are:

\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)

\left(x,y\right)=\left(4.95,-4.95\right)

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

r^2 = x^2+y^2

r^2 = (6.06)^2+(-3.5)^2

r = \sqrt{48.97} \approx 7

the angle can be found by:

\tan{\theta} = \dfrac{y}{x}

\tan{\theta} = \dfrac{3.5}{6.06}

\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}

\theta = 0.5236 \text{radians}

to convert radians to degrees:

\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ

writing in polar coordinates:

r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}

5 0
3 years ago
Consider the composite function (g (x) ) = StartRoot StartFraction 1 Over x squared minus 3 EndFraction EndRoot. If g(x) = x2 –
balandron [24]

Answer:

answer is c

Step-by-step explanation:

8 0
4 years ago
Suppose that F(x) = x2 and G(X) = 2/3 x^2. Which statement best compares the graph of G(x) with the graph of F(x)?
masha68 [24]
<h2>Answer:The graph of G(x) is the graph of F(x) compressed vertically.</h2>

Step-by-step explanation:

Given that F(x)=x^{2} and G(x)=\frac{2}{3}x^{2}

F(x) is always positive because x^{2} is always positive.

G(x) is always positive because \frac{2}{3}x^{2} is always positive.

So,both are always positive.

So,there is no flipping over x-axis.

In F(x),the height of a point at x_{0} is x_{0}^{2}

In G(x),the height of a point at x_{0} is \frac{2}{3}x_{0}^{2}

So,height of any point has less height in G(x) than F(x)

So,the graph of G(x) is the graph of F(x) compressed vertically.

3 0
3 years ago
HELP PLEASE I WILL GIVE BRAINLIEST
Ede4ka [16]
False
True
True

Needs 20 characters
3 0
2 years ago
George bought 7 quarts of cleaning fluid: x quarts at $3.00 per quart &amp; y quarts at $2.00 per quart. Find x &amp; y if the t
PolarNik [594]

Answer:

3x + 2y = 16

x = 2 , y = 5

Step-by-step explanation:

Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00

Considering the total cost

3x + 2y = 16

For the cost of each

x + y = 7

solving the 2 equations simultaneously be substitution

x = 7 - y

3(7 - y) + 2y = 16

21 - 3y + 2y = 16

-3y + 2y = 16 - 21

-y = - 5

Divide both sides by -1

y = 5

x = 7 -y

x = 7 - 5

= 2

7 0
3 years ago
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