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castortr0y [4]
3 years ago
12

PLZ HELP ME PLS HELP ME ​

Mathematics
1 answer:
kvasek [131]3 years ago
7 0
Hows yalls day going? ❤️
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Laura swims 500 meters in 8 minutes.
Alexxandr [17]

Step-by-step explanation:

(500/8)15=937.5 meters in 15 minutes

62.5 m in one minute

4 0
2 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
Daisy Hill has saved $5,000 for her first semester of college. She plans to
Katarina [22]

Amount Daisy plans to spend on food is $625

Step-by-step explanation:

  • Step 1: Given total savings of Daisy = $5000. Find the amount spent by Daisy on her room

Amount spent on room = 3/4 of 5000 = 3/4 × 5000 = $3750

  • Step 2: Calculate the remaining amount.

Remaining amount = $5000 - $3750 = $1250

  • Step 3: Calculate the amount Daisy plans to spend on food

Amount to be spend on food = 1/2 of 1250 = 1/2 × 1250 = $625

5 0
3 years ago
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Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
forsale [732]

Answer:

The answer would be A

Step-by-step explanation:

Both congruent sides are pairs

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3 years ago
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Suppose an item is originally
Sonbull [250]

Answer:$21.207 or $21.21

Step-by-step explanation:

You would take $24.95 *85% (that is how much you are going to pay) and the result is your answer

4 0
3 years ago
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