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2 years ago

Dorado County, which has a population of about 6,720, is divided into 4 townships. About 1/4

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

8 0

Density of population = total population / area of the township

Emerson township:
Population of Emerson = 6720 * (1/4)
= 1680
Density of population = 1680 /344
= 5 per square miles

Franco township:
30% of 1680 = 0.3 * 1680 = 504
Population = 1680 + 504
= 2184
Density = 2184/512
= 4 per square mile

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two angles form a straight angle. what is the one angle measures 89°. what is the measure of the other angle?

ICE Princess25 [194]

A straight line is = to 180 degrees (straight angle) so the formula would be
X+89=180
subtract the 89 from both sides and you get x=91
so the other angle is 91 degrees

4 0

3 years ago

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The base of a 13 foot ladder is 5 feet away from the wall. How far up the wall does the ladder reach? A)8 feet B)10 feet C)12 fe

Lisa [10]

You are solving for the height. Use the formula:

c² - b² = a² in which c = hypotenuse

(13)² - (5)² = a²

Simplify

169 - 25 = a²

144 = a²

Isolate the a. Root both sides

√144 = √a²

a = √144

a = √(12 x 12)

a = 12

C) 12 feet is your answer

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3 years ago

Read 2 more answers

A-b.a+b=<br> giúp mình nhé

lilavasa [31]

Step-by-step explanation:

Did you mean:

= (a - b)(a + b)

= a.a + b.a - b.a - b.b

= a² + ba - ba - b²

= a² - b²

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2 years ago

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

alexira [117]

Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = $\frac{-k\pm\sqrt{k^2-4hc}}{2h}$

= $\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}$

= $\frac{-9\pm\sqrt{81-336}}{2(12)}$

= $\frac{-9\pm\sqrt{-255}}{24}$

= $\frac{-9\pm i\sqrt{255}}{24}$

a = $\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}$

Therefore, Option B will be the correct option.

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2 years ago

HELP!!!!!!!!!!!!!!!!!!!!! Do all real numbers have a decimal expansion? Select each correct answer. Some numbers, such as 1 10

ankoles [38]

Answer:

1. Some numbers, such as $\frac{1}{10}$ , have a decimal expansion that terminates.

2. All real numbers have a decimal expansion.

5. Some numbers, such as $\frac{1}{18}$ , have a decimal expansion that repeats but does not terminate.

Step-by-step explanation:

According to the options, we have,

1. Some numbers, such as $\frac{1}{10}$ , have a decimal expansion that terminates.

It is correct as the decimal expansion of $\frac{1}{10}$ is 0.1, which terminates.

2. All real numbers have a decimal expansion.

This is also correct as both rational and irrational numbers can be written in decimal form.

3. Some numbers, such as $\sqrt{13}$ do not have a decimal expansion

This is not correct as $\sqrt{13}=3.605551275$ i.e. it has a decimal expansion.

4. Only some real numbers have a decimal expansion.

It is not correct as 2 is correct.

5. Some numbers, such as $\frac{1}{18}$ , have a decimal expansion that repeats but does not terminate.

It is correct as $\frac{1}{18}=0.0555555..$ , which is non-terminating decimal expansion.

So, the correct options are,

1. Some numbers, such as $\frac{1}{10}$ , have a decimal expansion that terminates.

2. All real numbers have a decimal expansion.

5. Some numbers, such as $\frac{1}{18}$ , have a decimal expansion that repeats but does not terminate.

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3 years ago