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Alex_Xolod [135]

2 years ago

15

Glen Cove has a population of 7,200, which is decreasing at a

1 answer:

slamgirl [31]2 years ago

4 0

Answer:

11 years

Step-by-step explanation:

7200 - 80x = 5000 + 120x
-5000 + 80x -5000 + 80x
2200 = 200x
11 = x

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Which statements about finding the area of the equilateral triangle are true? Check all that apply.

lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

$b=\frac{BC}{2}=\frac{8.7}{2}=4.35$

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

$OC^2=OD^2+DC^2$

$5^2=a^2+(4.35)^2$

$25=a^2+18.9225$

$a=\pm 2.46526$

$a\approx\pm 2.5$

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

$tan(30^{\circ})=\frac{a}{b}$

$\frac{1}{\sqrt{3}=\frac{a}{4.35}$

$a\approx\pm 2.5$

Therefore option 2 is correct.

The perimeter of an equality triangle is

$P=3a=3(8.7)=26.1$

Option 3 is incorrect.

$A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77$

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0

3 years ago

Read 2 more answers

Integrate x<br><img src="https://tex.z-dn.net/?f=x4" id="TexFormula1" title="x4" alt="x4" align="absmiddle" class="latex-formula

Dmitrij [34]

Answer:

The result of the integration is $\frac{x^5}{5}$

Step-by-step explanation:

Integration of a power of x:

The integration of a power of x is:

$\int x^{n} dx = \frac{x^{n+1}}{n+1}$

In this question:

$n = 4$ . So

$\int x^{4} dx = \frac{x^{4+1}}{4+1} = \frac{x^5}{5}$

The result of the integration is $\frac{x^5}{5}$

4 0

2 years ago

How much is 2/3 cups plus 1 1/4 cups

Schach [20]

Answer:

$1\frac{11}{12}$

Step-by-step explanation:

$\frac{2}{3}+1\frac{1}{4}=\frac{2}{3}+\frac{5}{4}=\frac{8}{12}+\frac{15}{12}=\\ \\=\frac{8+15}{12}=\frac{23}{12}=1\frac{11}{12}$

5 0

2 years ago

The population of a certain geographic region is approximately 103 million and grows continuously at a relative growth rate of 1

aev [14]

The population increases by a factor 1.0167 every year so the require figure is:
103 * 1 . 0167^5 = 112 million

3 0

3 years ago

Solve for x. Sqrt. x +3 / x+3 = 1

SashulF [63]

Answer:

x = -3 and x = -2

Step-by-step explanation:

-3 +3 = 0

-3 + 3 = 1

thus that means 0 + 1 = 1

3 0

3 years ago

Read 2 more answers