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PtichkaEL [24]
2 years ago
13

Alicia needs to purchase carpet to cover a triangular space. The space has a base length of 10 ft and a height of 6.4 ft.

Mathematics
1 answer:
Vika [28.1K]2 years ago
5 0

Answer:

Alicia needs 32ft² of carpet to cover the space

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an insect population grows at a rate of 25% per year.if its initial population is 4.2 million what will be its population in thr
marusya05 [52]

The population after 3 years would be 8.20 millions.

Step-by-step explanation:

Given,

Initial population = I = 4.2 million

Growing rate = r = 25%

If the initial population and growing rate is given, the formula to calculate the population (x) after n years would be:

x = I * (1 + \frac{r}{100} )^{n}

By putting the values in the equation, we get

x = 4.2 * (1 + \frac{25}{100} )^{n}

The population after 1st year (x1) would be

x1 = 4.2 * (1 + \frac{25}{100} )^{1}

x1 = 5.25 million

Similarly,

x2 = 4.2 * (1 + \frac{25}{100} )^{2}

x2 = 6.56 million

x3 = 4.2 * (1 + \frac{25}{100} )^{3}

x3 = 8.20 million

Hence, the population after 3 years would be 8.20 millions.

But, if you are asking about the total population at that time. It would be

I + x1 + x2 + x3 = 24.21 million

7 0
4 years ago
Mapping Diagram to inverse, do not understand, please help! Thank you!!!!
Triss [41]

I think diagram of number D show the inverse of R[X]

6 0
3 years ago
A model of house is 3 inch wide and 4 inches long. if the actual house is 20 yards long how wide is the actual house
Rama09 [41]
3/4=X/20
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6 0
3 years ago
An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads. When the photograph is t
NISA [10]

Answer:

Building is 56.58 feet long.

Step-by-step explanation:

Consider the provided information.

An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads.

When the photograph is taken, the angle of elevation of the sun is 30°.

By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 98 feet long.

As we know: \tan\theta=\frac{opp}{adj}

The value of tan 30 degrees is \frac{1}{\sqrt{3} }

\tan30=\frac{h}{98}

\frac{1}{\sqrt{3}}=\frac{h}{98}

h=\frac{98}{\sqrt{3}}

h=56.58

Hence, Building is 56.58 feet long.

8 0
4 years ago
The sum of two numbers is 36. The larger number is 8 more than the smaller number. Find the two numbers (please show work)
Artist 52 [7]
14 + 22 = 36
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3 0
3 years ago
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