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lukranit [14]
3 years ago
15

A model of a skyscraper was made by an architect. the model was 15 inches high. if the architect used a scale of 2 inches repres

enting 160 feet what would be the actual height of the building
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer:

1200 feet

Step-by-step explanation:

A scale is a representative faction which can be used to either increase or decrease the size or dimensions of an object.

scale = \frac{model height}{actual height}

\frac{2inches}{160 feet} = \frac{15 inches}{actual height}

actual height = \frac{15 *160}{2}

                      = \frac{2400feet}{2}

                      = 1200

actual height = 1200 feet

The actual height of the skyscraper is 1200 feet.

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A molecule of sodium carbonate contains 2 atoms of sodium to every 3 atoms of oxygen. Could a compound containing 12 atoms of so
artcher [175]

Answer:

No, a compound containing 12 atoms of sodium and 15 atoms of oxygen could not be sodium carbonate. When its ratio of atoms is reduced to the lowest terms, it is not the same as sodium carbonate. 4:5 ≠ 2:3

Step-by-step explanation:

Use ratios to solve this problem.

In sodium carbonate, the ratio for the number of atoms for sodium to oxygen (sodium:oxygen) is 2:3.

Check if the ratio for the compound with the ratio 12:15 is equal to 2:3.

Reduce the ratio 12:15 to lowest terms, just like how you would reduce a fraction. Find the GCF (greatest common factor). The left and right sides are both divisible by 3.

12/3 = 4

15/3 = 5

The ratio in the compound is 4:5.

4:5 ≠ 2:3

Since the ratios are not the same, the compound is not sodium carbonate.

3 0
4 years ago
Antoine stands on a balcony and throws a ball to his dog, who is at ground level.
sdas [7]

Answer: The ball will hit the ground 4 seconds after being thrown.

Step-by-step explanation:

By definition, the ball hits the grounds when the height is zero.

Then, knowing that the Quadratic function that models that situation is:

h(x)=-2x^2+4x+16

You can make it equal to zero:

0=-2x^2+4x+16

Now you can use the Quadratic formula:

x=\frac{-b\±\sqrt{b^2-4ac} }{2a}

In this case you can identify that:

a=-2\\b=4\\c=16

Therefore, knowing these values, you can substitute them into the Quadratic formula and then evaluate, in order to find the solution:

x=\frac{-4\±\sqrt{4^2-4(-2)(16)} }{2(-2)}\\\\x_1=4\\x_2=-2

Choose the positive solution.

Then, the ball will hit the ground 4 seconds after being thrown.

5 0
4 years ago
It took Skylar a full minute to recall the chain of events that had brought her here,
makkiz [27]

Answer:

3

Step-by-step explanation:

i think the answer is 3 because of the quote "now, she had a crucial mission to carry out, one that would influence  the very course of life back on Earth."

hope this helps!

3 0
3 years ago
An ant travels at a constant rate of 30 cm every 2 minutes. At what speed does the ant travel per minute?
lisov135 [29]

Answer:

15 cm in one minute.

Step-by-step explanation:

If the ant travels at 30 cm every two minutes, then divide both numbers by two to get the unit rate, which is 15 I'm per minute.

6 0
4 years ago
What would this be after you simplify?<br><br> x^0 y^5<br> -----------<br> y^5 z^-7
Kay [80]

Answer:

y^5 z^7

______

  y^5

3 0
3 years ago
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