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ziro4ka [17]
3 years ago
9

You are told to you will have to wait 5 hours in a line with a group of other people. Determine it. 1.You know the number of min

utes you have to wait.
Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

for\ five\ hours = 300\ min

Step-by-step explanation:

Given:

Waiting time = 5 hours.

We need to find the number of minutes for 5 hours.

Solution:

We know that 60 minutes for each hour, so one hour is equal to 60 minutes.

For one hour = 60\ minutes

For five hours = 5\times 60

for\ five\ hours = 300\ min

Therefore, you will have to wait 300 minutes in a line.

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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.
notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x

#Using the illustration above, we can express our polar coordinates as:

-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}

#Solve simultaneously to solve for x and y:

(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\  y \ in\  i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0
3 years ago
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Softa [21]

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8 0
3 years ago
Marta is solving the equation S = 2πrh + 2πr^2 for h. Which should be the result?
olga_2 [115]

Answer:

h = \frac{S}{2πr} - r


Step-by-step explanation:

The question requires you to make h the subject of the formula.

S = 2πrh + 2πr²

subtract 2πr² on both sides.

S - 2πr² = 2πrh - 2πr² -  2πr²

S - 2πr² = 2πrh

Dividing both sides by  2πr

(S -  2πr²)/2πr =  2πrh/ 2πr

h = \frac{S}{2πr} - r


7 0
3 years ago
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I need to figure what figure A and B is.
Alexeev081 [22]
I can't see the whole graph
3 0
3 years ago
The quantities x and y are proportional. Find the constant of proportionality r in the equation y = rx
ELEN [110]

Answer:

r = 7

Step-by-step explanation:

To solve this, we can plug in a pair of x and y values and solve for r.

y = rx | Plug in a pair

42 = r*6 | Now divide both sides by 6

7 = r.

We can test this by plugging in r with a pair.

y = (7)x

77 = 7*11, 77 = 77, This equation is correct.

7 0
3 years ago
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