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RoseWind [281]
3 years ago
7

What is 195 divisible by

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0
It's divisible by any number that ends in 5 or 0.
Hope this helps! :)
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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
Lewis has 13 cats and 2 dogs. How many animals does he have in all?
Stels [109]

Answer:15

Step-by-step explanation:13 +2 = 15

4 0
3 years ago
F(x) = 3x - 1 and g(x) = x2 -x find (f/g(8) answer choices a)-23/6 b)4 c)-4 d)23/6
Lilit [14]

Answer:

all answer wrong with you

Step-by-step explanation:

f(x)=3x-1

f(8)=3.8-1

=24-1

=23

f(g)=x2-x

f(8)=8.2-2

=16-2

=14

7 0
3 years ago
A 9-pack of coffee mugs costs $14.04. What is the unit price?
Nat2105 [25]

Answer:

\frac{14.4}{9}  = 1.6

8 0
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-5/6x=20 simplified plz help step
Nuetrik [128]

Answer:

x= -1/24

Step-by-step explanation:

-5/6x = 20

-5 = 6x × 20

-5 = 120x

-5/120 = x

-1/24 = x

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3 years ago
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