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natima [27]
3 years ago
6

Suzies heart was beating 90 beats a minute. How many minutes per beat is that?

Mathematics
2 answers:
Valentin [98]3 years ago
8 0
The answer it 90 beats per minute
Musya8 [376]3 years ago
7 0
The answer will be 90 bpm
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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
Louis owns a rectangular piece of property with an area of 1 3 4 square miles. The length of the property is 2 1 3 miles. What i
dedylja [7]

Answer:

Step-by-step explanation:

Area of the land A - Length * Width

Given

A = 1 3/4 mi²

Length L = 2 1/3 miles

Required

Width of the property

Substitute into the formula;

A = LW

W = A/L

W = 1 3/4/(2 1/3)

W = 7/4 ÷ 7/3

W = 7/4 × 3/7

W = 3/4 miles

Hence the width of the property is 3/4 miles

3 0
3 years ago
Please answer ASAP I will give you five stars
Nataliya [291]

Known :

r = 6

h = 8

Asked :

V = ...?

Answer :

V = ⅓πr²h

= ⅓ × 3.14 × 6² × 8

= ⅓ × 3.14 × 36 × 8

= 3.14 × 12 × 8

= 301.44 units²

= <u>3</u><u>0</u><u>0</u><u> </u><u>units²</u> (rounded)

So, the volume of the cone is 300 units²

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

3 0
3 years ago
25. En cada par de triangulos, las marcas iguales indican elementos congruentes. ¿Que par de triangulos es congruentre segun el
Rama09 [41]

Answer:

i cant read spanish. sorry

Step-by-step explanation:

5 0
3 years ago
Need help on this problem
trasher [3.6K]
The answer to the question

3 0
3 years ago
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