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sveticcg [70]
3 years ago
13

Maths quiz answer with logic ok? ok? ok​

Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

Answer:

nepal = 11

Step-by-step explanation:

english = 4

Pakistan = 9

Australia =25

9×4 =36-25 =11

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Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around
ale4655 [162]

Answer:

Part 1: \frac{2\pi}{3} radians

Part 2: The minute hand travels \frac{8\pi}{3} inches.

Part 3: The minute hand travels \frac{3\pi}{4} radians.

Part 4: The coordinate point is  (-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})


Step-by-step explanation:


<u>Part 1:</u>

There are 60 minutes in an hour. 1 hour is 1 revolution (1 circle), which is 360°.

So each minute represents  \frac{360}{60}=6 degrees

From 3:35 to 3:55 is 20 minutes. Hence, 20 minutes is 6*20=120 degrees.


<u><em>To convert from degrees to radians, we multiply the degrees by \frac{\pi}{180}</em></u>

120° is equal to  120*\frac{\pi}{180}=\frac{2\pi}{3} radians


<u>Part 2:</u>

We want to find the "arc length" of this.

Formula for arc length is  s=r\theta

Where,

  • s is the arc length
  • r is the radius (here the minute hand was given as 4 inches)
  • \theta is the angle in radians (we found it to be \frac{2\pi}{3})

So, s=r\theta\\s=(4)(\frac{2\pi }{3})=\frac{8\pi}{3}

The minute hand travels \frac{8\pi}{3} inches.


<u>Part 3:</u>

Here we use the arc length formula where we want to find \theta given that s=3\pi and radius is 4 inches. So we have:

s=r\theta\\3\pi=(4)(\theta)\\\theta=\frac{3\pi}{4}

The minute hand travels \frac{3\pi}{4} radians.


<u>Part 4:</u>

The coordinate point associated with a specif radian is given by the formula:

(x,y)=(cos(\theta)sin(\theta))\\(x,y)=(cos(\frac{3\pi}{4})sin(\frac{3\pi}{4}))\\(x,y)=(-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})

Thus the coordinate point is  (-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})

3 0
4 years ago
Read 2 more answers
Create a matrix. use a graphing calculator to solve the system using the rref function.
zloy xaker [14]

Answer:

x=-\dfrac{44}{7}

y=\dfrac{58}{7}

Step-by-step explanation:

Arrange the equations so that all the variables are in columns (x as the first column, y as the second, equals a number as the third):

-11x - 4y = 36

5x + 5y = -10

Define and edit Matrix A.  We need a 3 x 2 matrix.  Input the coefficients and constant:

\left[\begin{array}{ccc}-11&-4&36\\5&5&-10\end{array}\right]

Find rref function, enter matrix A:  rref([A])  (press enter)

This gives you:

\left[\begin{array}{ccc}1&0&-\frac{44}{7}\\0&1&\frac{58}{7}\end{array}\right]

which means:

x=-\dfrac{44}{7}

y=\dfrac{58}{7}

8 0
2 years ago
Colin earned 46 raking leaves if he worked 1.5 hours yesterday and 4.25 hours today how much did he earn per hour
KonstantinChe [14]
1.5 + 4.25 = 5.75 total hours worked

46/5.75= 8
4 0
4 years ago
Just question 6 i keep getting the same answer that is wrong
Kipish [7]
What is the question????????????????????????????????????????????
3 0
4 years ago
Y=-x-5 graph this equation
sergejj [24]
Negative slope and shifted 5 down on the y axis with a root at x=-5
5 0
3 years ago
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