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3241004551 [841]
3 years ago
12

What is 31/4 + -11/2 + 21/4

Mathematics
2 answers:
Basile [38]3 years ago
6 0
31/4 + -11/2 + 21/4 = 7 1/2
Hope this helps!
Andrei [34K]3 years ago
6 0
Hope this helped, and GOOD LUCK! :D

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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
A PAIR OF JEANS MARKED AT R450 IS SOLD AT DISCOUNT OF 25%.​
Stolb23 [73]

Original price is the jeans = Rs450

Discount = 25%

Discount amount

= 25% of 450

= 25%(450)

= 25/100 × 450

= 25/10 × 45

= 5/2 × 45

= 225/2

= Rs112.5

Price after discount

= original price - discount amount

= 450 - 112.5

= Rs337.5

4 0
3 years ago
The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function. The ve
eimsori [14]

The graph of the function f(x) = -(x+1)^2 shows that the domain of the function f(x) = -(x+1)² is: -∞ < x < ∞. The range of the function is f(x) ≤ 0.

<h3>What is the graph of a function?</h3>

The graph of a function is the arrangement of all ordered pairs of the function. Typically, they are expressed as points in a cartesian coordinate system. The graph of f is the collection of all ordered pairings (x, f(x)) such that x lies inside the domain of f.

The graph of a function might similarly be defined as the graph of the equation y = f(x). As a result, the graph of a function is a subset of the graph of an equation.

From the given information: the graph of the function f(x) = -(x+1)² can be determined if the domain, the range, and the vertex of the function are known.

  • The domain of the function f(x) = -(x+1)² is: -∞ < x < ∞
  • The range of the function is f(x) ≤ 0
  • The x-intercepts and the y-intercepts are (-1,0) and (0, -1) respectively
  • The vertex is maximum at (-1,0)

Since the parabola curve from the graph shows that the graph is facing down, then the function is negative and decreasing.

Learn more about the graph of a function here:

brainly.com/question/24696306

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8 0
1 year ago
A cake company makes cheesecakes with a circumference of approximately 75.36 cm. They need to design their boxes to offer single
Umnica [9.8K]

Answer:

12

Step-by-step explanation:

I'm not entirely sure abt this but here goes nothing

75.36 divided by 3.14 = 24

24 = diameter

radius = 12

7 0
2 years ago
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Describe the relationship of the organelles of the endomembrane system?
scZoUnD [109]

<em>The endomembrane system is a series of compartments that work together to package, label, and ship proteins and molecules.</em>

<em> the endomembrane system include: </em><em>the nuclear membrane, the endoplasmic reticulum, the Golgi apparatus, lysosomes, vesicles, endosomes, among others.</em>

7 0
3 years ago
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