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Marina CMI [18]

3 years ago

9

Caitlyn did 6/7 of the problems on her math correctly and 4 incorrectly. She did all the problems. How many were there?

1 answer:

Viefleur [7K]3 years ago

5 0

If $\frac{6}{7}$ were incorrect, it means that $\frac{1}{7}=4$ were correct
$4*7=28$
There were 28 problems ;)

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Correct answers only please!

blagie [28]

Answer: $86.25

Step-by-step explanation:

For this problem, we are given p, r, t.

p=70 (starting amount)

r=0.11 (11%)

t=2 (years)

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B=70(1+0.11)^2

B=86.247

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One way to think of a plane is to think of a flat sheet of paper that extends infinitely in all directions. The paper must be kept flat without any bends.

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Are j+j+j+j equivalent to j to the 4th power

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How to write the expression 5 more than 2 times the value of n

galina1969 [7]

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6 0

3 years ago

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