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jeka57 [31]
3 years ago
12

A 1200 b 3200 c 3680 d 5520

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

c. 3680

Step-by-step explanation:

In 2010, the population was 8000.

In 2014, it increased by 15%.

Population in 2014 :

= 8000 + 15/100×8000

= 8000 + 1200

= 9200.

Now, 2/5 of the population was age 12 or under.

= 2/5 × 9200

= 2×1840

= 3680

Answer - c) 3680

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Find the area of this figure.
AlladinOne [14]

Answer:

216 cm^2

Step-by-step explanation:

Alright, first lets knock out the rectangle. This would be found by doing L * H. For the length it would be 14. For the height, it would be 12.

14 * 12 = 168

Next with the triangle, it has a length, or "base" of 8 and the same height of 12. For a triangle, do (B * H) / 2 as the formula.

(8 * 12) / 2

96 / 2

48

Now, combine these two values to get the total:

168 + 48 = 216 cm^2

All done!

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I think its 0 or undefined

Step-by-step explanation:

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Make them have the same denominator.

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A man wins £7500 on the pools and decides to share it with his
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Answer:

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(b) 1875

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Step-by-step explanation:

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3 years ago
Complete the standard form of the equation of a hyperbola that has vertices at (-10, -15) and (70, -15) and one of its foci at (
Elena L [17]

Answer:

\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1

Step-by-step explanation:

The equation of the horizontal hyperbola in standard form is:

\frac{(x-k)^{2}}{a^{2}} - \frac{(y-k)^{2}}{b^{2}} = 1

The position of its center is:

C(x,y) = \left(\frac{-10 + 70}{2}, -15 \right)

C(x, y) = (30,-15)

The values for c and a are respectively:

a = 70 - 30

a = 40

c = 30 - (-11)

c = 41

The remaining variable is computed from the following Pythagorean identity:

c ^{2} = a^{2} + b^{2}

b = \sqrt{c^{2}-a^{2}}

b = \sqrt{41^{2}-40^{2}}

b = 3

Now, the equation of the hyperbola is:

\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1

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