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IgorLugansk [536]
3 years ago
15

The volume, v, of a solid is v = bh, where b is the area of the base and h is the height.solve v = bh for h.

Mathematics
1 answer:
notsponge [240]3 years ago
3 0
V = bh....divide both sides by b
v/b = h <===
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For each inequality draw a number line and show all points that satisfy it.
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Step-by-step explanation:

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3 years ago
Round to 2 decimal places *
EleoNora [17]

Answer: The circumference of the dome is therefore 149.15 feet or 47.5π feet

Step-by-step explanation:

A scale is basically referred to as the ratio of the dimensions of an object as represented in a draft to the real or true dimensions of the object being drafted.

The figure(s) on the left of the ratio sign represents the size and dimensions of the model with respect to the actual size or dimensions of the object. On the other hand, the figure on the right hand size represents the actual dimensions and size of the real object.

So, if an object is being drawn with the ratio, 1cm : 5cm it means that the size of the object is being reduced because every 5cm of the actual object will always be represented by 1cm in the drawing. If the object is being drawn with a scale of 5cm : 1cm then the actual size of the object will be increased in the drawing. That is, for every 1cm in the actual dimensions of the object, there will be a 5cm representation in the drawing.

Now, the architect draws with a scale of 0.25 inches : 1 foot. If the diameter of the hemispherical dome is 23.75 inches in the scale model, then the actual diameter of the dome is:

0.25 inches ------- 1 foot

23.75 inches ------- ? feet

= 23.75/0.25 × 1

= 95 feet

Therefore, the actual diameter of the dome is 95 feet. We are now required to find the circumference of this dome.

The dome is a hemisphere which literally means half of a sphere. So, if the formula for finding the circumference of a sphere is πd, that of a hemisphere will then be πd/2. Since the diameter is already known to be 95 feet, the circumference of the hemisphere =

(π × 95)/2

=47.5π feet

Or

If π = 3.14, then the circumference = (3.14 × 95)/2 = 149.15 feet

The circumference of the dome is 149.15 feet or 47.5π feet

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3 years ago
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3 years ago
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A weather station on the top of a mountain reports that the temperature is currently 0 degrees Celsius and has been falling at a
madam [21]

Answer:

The temperature of the weather station was 3 degrees Celcius an hour earlier.

Step-by-step explanation:

We can say that the weather an hour ago should be represented with the variable - x.

From the problem, we know that the temperature of the station falls at a rate of -3 degrees per hour. This means that for every hour, the temperature of the place will go down by about 3 degrees Celsius.

If the temperature of the weather station is currently 0 degrees Celsius, to find its temperature an hour earlier, it means that we will need to add 3 degrees to its current temperature, because that is what must have lost in one hour.

i.e x = 0 + 3 = 3 degrees Celcius.

This means that the temperature of the weather station was 3 degrees Celcius an hour earlier.

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