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Karolina [17]
4 years ago
14

It takes the Earth 24 hours to complete a full rotation. It take Saturn approximately 10 hours, 39 mintues, and 24 seconds to co

mplete a full rotation. How many minutes does it take Saturn to complete a full rotation? Show your work using the correct conversion factors.
Mathematics
1 answer:
inna [77]4 years ago
4 0

Answer:

639.4 minutes

Step-by-step explanation:

It says that Saturn approximately 10 hours, 39 minutes, and 24 seconds to complete a full rotation.

Now we need to find about how many minutes does it take Saturn to complete a full rotation.

So we need to convert 10 hours and 24 seconds into minutes using formula:

1 hour = 60 minutes

and

1 second = 1/60 minutes


Plug these values into given rotation time:

10 hours + 39 minutes + 24 seconds

= 10 (60 minutes) + 39 minutes + 24(1/60 minutes)

= 600 minutes + 39 minutes + 24/60 minutes

= 600 minutes + 39 minutes + 0.4 minutes

= 639.4 minutes

Hence final answer is 639.4 minutes.

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Match the real-world problem to its constant of proportionality.
BabaBlast [244]

Answer:

a. $18.36 for 3 pizzas  :   k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 2

Step-by-step explanation:

<u>PROPORTIONALITY:</u>

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒  x \propto y \implies  k = \frac{x}{y}

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here,k =  \frac{18.36}{3} = 6.12

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here,k =  \frac{4.17}{3} = 1.39

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here,k =  \frac{16.48}{4} = 4.12

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,k =  \frac{24}{2} = 12

So, the proportionality constant is 12

6 0
4 years ago
What’s a two step equation that equals 22? please this is urgent
Afina-wow [57]

Answer:

x - 3 = 21 - 2

Step-by-step explanation:

x - 3 = 21 - 2

Add 3 to each side.

x = 21 + 1

x = 22

Rate as Brainliest plz

5 0
3 years ago
Read 2 more answers
Determine the slope of the line that has the following coordinates: (1, 4)(2, -6)
timama [110]

Answer:

-10

Step-by-step explanation:

First use this equation: (y2 - y1) / (x2 -x1)

The y intercept is 14 so the slope is -10.

6 0
4 years ago
If a certain canon is fired from a height of 8.9 m above the ground, at a certain angle, the height of the Campbell above the gr
qwelly [4]

Answer:

T=5.9235 seconds

Step-by-step explanation:

H(T)= -4.9T^2+27.52T+8.9.

The time it takes for the cannonball to strike the ground is the point at which H(T)=0

H(T)= -4.9T^2+27.52T+8.9.=0

-4.9T^2+27.52T+8.9=0

This is a quadratic equation and since we have a bunch of decimals we use the quadratic formula:

x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}

a=-4,9, b=27.52, c=8.9

T=\dfrac{-27.52\pm\sqrt{(-27.52)^2-(4*-4.9*8.9)} }{2*-4.9}\\=\dfrac{-27.52\pm\sqrt{757.3504-(-174.44)} }{-9.8}\\=\dfrac{-27.52\pm\sqrt{931.7904} }{-9.8}\\=\dfrac{-27.52\pm30.53 }{-9.8}\\T=-0.3071 \:or\:  5.9235\\T=5.9235 seconds

It takes 5.9235 seconds for the cannonball to strike the ground.

4 0
3 years ago
Please help me with this answer​
trasher [3.6K]
I think it’s A cuz if u add normally A is the answer u get
8 0
3 years ago
Read 2 more answers
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