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2 years ago

Is anybody able to help me get number ten? (Geometry)

Mathematics

1 answer:

Nikitich [7]2 years ago

6 0

Answer:

Aha..our nemesis problem. :)

The area is 129.90 ft ^2.

Step-by-step explanation:

First, use a 30-60-90 triagle to find the apothem.

$5\sqrt{3} =8.66\\8.66*5=43.30\\43.30/2=21.65\\$

That is the area of 1 triangle. There are 6 of them in a hexagon, so multiply that number by 6:

21.65*6=129.90 ft ^2

Have a great day!

You might be interested in

Evaluate (16+a)+ 6b divided by 3 when a = 2 and b = 3

yawa3891 [41]

Answer: 24

Step-by-step explanation:

Follow PEMDAS. Parentheses: 16+a, which is 18. There are no exponents so move on to multiplication. 6b. B is equal to 3, and 6x3 is 18. Next, division. 18/3 is 6. Now do addition so add together 18+6 which is 24.

4 0

2 years ago

En la tienda de mascotas "Animalo-T", se desea elevar un elefante de 2,900 kg utilizando una elevadora hidráulica de plato grand

Korvikt [17]

Answer:

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

Step-by-step explanation:

Por el Principio de Pascal se conoce que el esfuerzo experimentado por el elefante es igual a la presión ejercida por el plato pequeño. Es decir:

$\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}$ (1)

Donde:

$F_{1}$ - Fuerza experimentada por el elefante, medida en newtons.

$F_{2}$ - Fuerza aplicada sobre el plato pequeño, medida en newtons.

$A_{1}$ - Área del plato grande, medida en metros cuadrados.

$A_{2}$ - Área del plato pequeño, medida en metros cuadrados.

La fuerza aplicada sobre el plato pequeño es:

$F_{2} = \left(\frac{A_{2}}{A_{1}} \right)\cdot F_{1}$

La fuerza experimentada por el elefante es su propio peso. Por otra parte, el área del plato es directamente proporcional al cuadrado de su diámetro. Es decir:

$F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot m\cdot g$ (2)

Donde:

$D_{1}$ - Diámetro del plato grande, medido en centímetros.

$D_{2}$ - Diámetro del plato pequeño, medido en centímetros.

$m$ - Masa del elefante, medida en kilogramos.

$g$ - Aceleración gravitacional, medida en metros por segundo cuadrado.

Si sabemos que $D_{1} = 0.75\,m$ , $D_{2} = 0.13\,m$ , $m = 2900\,kg$ y $g = 9.807\,\frac{m}{s^{2}}$ , entonces la fuerza a aplicar al émbolo pequeño es:

$F_{2} = \left(\frac{0.13\,m}{0.75\,m} \right)^{2}\cdot (2900\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)$

$F_{2} = 854.473\,N$

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

3 0

2 years ago

A bank offers two special high-interest savings accounts if you deposit $500 and leave it untouched for 10 years. One pays 6 per

vazorg [7]

Answer:

The compound interest one is better by about 14 bucks.

Step-by-step explanation:

Simple interest:

500(1+.06*10)=800

Compound interest:

500(1+.05)¹⁰=814.45

6 0

2 years ago

What are like terms? Provide an example with your description. Choose the correct answer below. A. Like terms are terms that ha

ExtremeBDS [4]

Answer:

Option C.

Step-by-step explanation:

We need to find the correct definition of like terms.

Like terms :Two or more terms are called like terms if they have the same variables and same powers.

For example : 4xy and 9xy are like terms.

Option A is incorrect because 3x and 3 are not like terms.

Option B is incorrect because 6x and 9 are not like terms.

Option C is correct because like terms are terms that have the same variable factors as well as the same number of factors of each type. For example, 3x and 5x are like terms.

Option D is incorrect because 3x and 5 are not like terms.

Therefore, the correct option is C.

8 0

2 years ago

In 2015, the population of a small town in Florida is 95. If he population increases 15% every year, approximately what will the

vova2212 [387]

The population is increasing every year. so we use exponential growth function

$y=a(1+r)^x$

Where 'a' is the initial population

r is the rate of increase

x is the years

y is the final population

In 2015, the population of a small town in Florida is 95

Initial population a= 95

r= 15%= 0.15

x = 2023 - 2015 = 8 years

Plug in all the values and find out y

$y=a(1+r)^x$

$y=95(1+0.15)^8$

y = 290.607

The population in 2023 is 291

8 0

3 years ago