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Nimfa-mama [501]
2 years ago
13

What percent is 48cm of 1.5 m​

Mathematics
2 answers:
Ann [662]2 years ago
6 0

First of all, recall that 1.5m is the same as 150cm.

Now, we simply build a proportion where we consider 48 to be 100, and wonder what 150 will be:

48\div 100 = 150 \div x

Solving for x, we have

x = \dfrac{150\cdot 100}{48}=\dfrac{15000}{48} = 312.5

Which actually makes sense, because we're stating that 1.5m is about 300% of 48cm, which means three times as much. Which is true, because three times 48cm means 144cm, which is about 1.5m

umka2103 [35]2 years ago
6 0

Answer:

  • <u>32%</u>

Step-by-step explanation:

To solve this problem, you must first have the numbers in the same units, that is, convert the meters to centimeters and operate with them or transform to meters and work with them, therefore, I decide to work with centimeters, like this:

  • 1.5 meters = 150 centimeters (each meter equals 100 centimeters)

Then, you can make a simple rule of three, where 150 centimeters corresponds to 100% and you look for the percentage of 48 centimeters:

  • 150 cm = 100%
  • 48 cm = X

So:

  • X = (48 * 100) / 150
  • X = 4800/150
  • <u>X = 32</u>

Therefore, <u>the percentage of 48 centimeters is equal to 32%</u>.

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One side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°, with a possible error of ±1°.
vladimir1956 [14]

Answer:

estimated error=±0.725

Step-by-step explanation:

Side of the triangle= 12cm

Opposite of triangle x= 30

h= hypotenose side

Error= =±1

From trigonometry

Sin(x)=opposite/hypotenose

hypotenose=opposite/sin(x)

h=12/sin(x)

h=12Csc(x)

dh=-12Csc(x)Cot(x) dx...............eqn(1)

dx is the possible error in angle measurements

So we need to convert to radius

dx=±1°× (π/180)

=±1°(π/180)

Substitute x and dx into equation (1)

dh= - 12Csc30°Cot30°×[±(π/180)]

= -12(2)(√3)(±(π/180)

==±0.725

Therefore, estimated error=±0.725

3 0
2 years ago
Rui is a professional deep water free diver.
Vladimir [108]
The correct question is 
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?

we have that
</span>d(x)=(1/2)x² -10x

we know that
the function is quadratic (a parabola) 
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<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure

the vertex is the point  (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level

therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>

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