Joe bought a television that was on sale for 20% off. He paid $160.00 for it. What was the original price?

Meg started her trip with 11½ gallons of gas in her car's tank. She bought an additional 6 4/5 gallons on her trip and arrived b

Anit [1.1K]

11 1/2+6 4/5 equals? So, you have to make each fraction have the same denominator. So, you would notice that they have in LCD (least common denominator )which is 10. So you're new fractions are 11 5/10+ 6 8/10. 11+6=17. 5/10+8/20=13/10. Which simplified it would be 1 3/10. 17+1 3/10 equals 18 3/10. 18 3/10 -3 3/10 equals 15. 15 is the answer.

8 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

Pleaseeee help!!!!! I will mark you as brainlinest for correct answer!!!!!!

Setler79 [48]

So the equation you'll use is (18,000 × .041)y+18000. Y is your years which is 20. So all you need to do is plug it in to get (18,000 × .041)20+18000 and when solved is 32,760 downloads by 2030

4 0

3 years ago

Ayuda cual es el valor numerico de -11ab?

Dmitrij [34]

Can u translate this to English so we can respond and answer please?

8 0

3 years ago

A cube has a side length of 7 cm a cylinder has a radius of 5 cm and a height of 4 cm

densk [106]

Answer:

Cube has larger volume than cylinder.

Step-by-step explanation:

Given:

Side of a cube = 7 cm

Radius of a cylinder (r) = 5 cm

Height of a (h) = 4 cm

Find:

Larger volume = ?

Computation:

Volume of cube = Side³

Volume of cube = 7³

Volume of cube = 343 cm³

$Volume\ of\ cylinder=\pi r^2h\\\\Volume\ of\ cylinder=\frac{22}{7} (5)^2(4)\\\\Volume\ of\ cylinder= 314.28$

Cube has larger volume than cylinder.

5 0

3 years ago