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marshall27 [118]
2 years ago
12

Lúcia is using energy at a rate of 420420420 kilocalories (\text{kcal})(kcal)left parenthesis, k, c, a, l, right parenthesis per

hour (\text{h})(h)left parenthesis, h, right parenthesis ice skating.
At what rate is Lúcia using energy in calories per minute \left(\dfrac{\text{cal}}{\text{min}}\right)(
min
cal
​ )left parenthesis, start fraction, c, a, l, divided by, m, i, n, end fraction, right parenthesis?
Mathematics
2 answers:
notsponge [240]2 years ago
7 0
<span>Lúcia is using energy at a rate of 420 kcal/h.

To find out the rate per minute we need to transform number:
420 kcal/h = 420 000 cal/h
1h = 60 min
420 000 cal/h = 420 000 cal /(60min) = 7 000 cal / min or 7kcal/min</span>
Zanzabum2 years ago
7 0

Answer:

<h2>Lucia is using energy at a rate of 7 kilocalories per minute.</h2>

Step-by-step explanation:

In order to solve this problem, we just need to transform from kilocalories per hour to kilocalories per minutes.

We know that, Lucia is using energy at a rate of 420 kcal/hr. So, if 1 hour equals 60 minutes, we just need to use this to find the answer

x=420\frac{kcal}{hr} \times  \frac{1hr}{60min} = 7\frac{kcal}{min}

Therefore, Lucia is using energy at a rate of 7 kilocalories per minute.

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Eva had 7/8 gallon of paint. His brother ivan used 1/4 gallon to paint his model boat. Eva needs at least 1/2 gallon to paint he
algol13

Answer: .625 (yes he did leave enough


Step-by-step explanation: First you need to divde the fractions( or solve them) ,so 7 divided by 8 and so on Then you take subtract the paint ivan used, if it is less than half than ivan didn't leave enough for his poor sister

but there are other ways if this one is to hard  


6 0
2 years ago
The radius of circle G is 4 cm. What is the tangent
qaws [65]
The tangent of a given circle is perpendicular to the radius a the point called point if tangency. The radius of the circle is perpendicular to the tangent at the point of tangency. This property is especially useful in cases where the radius that connects to the point of tangency forms a part of right angle because the pythagorean theorem and trigonometry apply to right angles.
4 0
2 years ago
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amo
noname [10]
Since we need your monthly bill we will call it the variable B for now, (Unless you have the bill, if so replace it with the variable)
Multiply 1.64 x B since the exchange rate is different than the US bill,
For example, say your bill is $100 in the U.S.
You do 1.64 x 100 = A monthly bill of $164 if you lived in Britain 
8 0
2 years ago
Read 2 more answers
An acrobat of mass m slides down a vertical rope of height h. For the first three quarter of her descent she grips the rope with
Maksim231197 [3]

Using the work-energy theorem would be best in solving this problem. The net <span>work </span>on an object causes a change in the kinetic energy of the object, based from the work-energy theorem. For this, the formula for net work = change in kinetic energy = final kinetic energy - initial kinetic energy.

 

So, first sliding distance covered 3/4 with a net force 1-5/9 = 4/9 and w (w stands for weight of acrobat) 

Therefore, work done = 4/9 * 3/4<span>
In the next step, the distance to be covered is 1/4. 
So, let the new frictional force required be X w 
Therefore, net force upward = (X - 1) w 
Thus, work to be done = (X - 1) * 1/4 w---------(2) 
Equating X = 1 + 4/3 = 7/3 </span>

<span>
<span>So, the frictional force that she must produce in the last quarter has to be 7/3 times her weight.</span></span>

7 0
2 years ago
Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length o
Mazyrski [523]

Answer:

13

Step-by-step explanation:

From the question, we are given a triangle HNK with an angle of 90°

The length of hypotenuse H K is n,

the length of HN is 12

the length of N K is 6.

From the above values, obtained in the question, we can see that this is a right angled triangle.

We are asked to find the length of the hypotenuse.

We can use Pythagoras Theorem of solve for this.

c² = a² + b²

where c = HK = n

a = NK = 6

b = HN = 12

c² = 6² + 12²

c² = 36 + 144

c² = 180

c = √180

c = 13.416407865

Approximately to the nearest whole number = 13

Therefore the value of HK = n = 13

We can also use Law of Cosines as given in the question to solve for this.

a² = b² + c² - 2ac × Cos A

where c = HK = n

a = NK = 6

b = HN = 12

Hence

c² = a² + b² - 2ab × Cos C

c = √ (a² + b² - 2ab × Cos C)

Where C = 90

c = √ 6² + 12² - 2 × 6 × 12 × Cos 90

c = 13.42

Approximately to the nearest whole number ≈ 13

Therefore the value of HK = n = 13

8 0
2 years ago
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