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zheka24 [161]
3 years ago
9

The population of a town is increasing by 300 inhabitants each year. If its population at the beginning of 1990 was 21,152, what

was its population at the beginning of 1999?
A) 380,520 inhabitants

B) 23,852 inhabitants

C) 190,260 inhabitants

D) 23,552 inhabitants
Mathematics
1 answer:
babunello [35]3 years ago
8 0

Answer:

Step-by-step explanation:

You take the starting year of 1990 and subtract it from 1999 to get the year span of 9,

You then take the amount per year the population goes up by which is 300, so 300 multiplied by 9 is 2,700

You add 2,700 to 21,152 to get B-23,852

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At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.    

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula, we will get:

\text{tan}(35^{\circ})=\frac{h}{290}

290*\text{tan}(35^{\circ})=\frac{h}{290}*290

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h=290*0.70020753821

h=203.0601860809

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Therefore, the building is approximately 203 feet high.

 

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Elio makes candles that are 14 cm tall. Each candle burns 8 hours before going out. He is wondering how many hours a 21 cm tall
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