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3 years ago

Find the total area of the given figure.

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

Answer:

996 sq. in

Step-by-step explanation:

See the attached diagram.

The right triangle has hypotenuse 37 in, and other two sides are 35 in and the half of the side lengths of square, say a in.

So, applying the Pythagoras Theorem we get,

37² = 35² + a²

⇒ a² = 144

⇒ a = 12 in.

Therefore, the side length of the square is 2 × 12 = 24 in.

Now, the area of the total figure is the sum of area of the square and the area of the isosceles triangle.

Area = (24 × 24 ) + 0.5 × 35 × 24 = 996 sq. in. (Answer)

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Please I need help it’s an emergency

Fofino [41]

Answer:

the answer is 36

Step-by-step explanation:

beacuse if we use the pythagorean theorem for 9 and 12 we get 15 which means that the perimeter is P=9+15+12=36

8 0

3 years ago

solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si

prisoha [69]

Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

<h3>¿Qué es la distribución binomial?</h3>

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Los parámetros son:

n es el número de ensayos.

p es la probabilidad de éxito en un ensayo

x es el número de éxitos

En este problema, hay que:

20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.

Llegan 10 empleados, o sea, n = 10.

La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

$P(X \geq 1) = 1 - P(X = 0)$

En que:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

Por eso:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926$

Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

Puede-se aprender más a cerca de la distribución binomial en brainly.com/question/25132113

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2 years ago

-3/7 greater or less than -2/5

Phantasy [73]

-3/7 is greater than -2/5

how I found this do 3÷7 and this will give you a decimal of 0.4285. While doing 2÷7 equals 0.4

hope this helps

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3 years ago

What is the range of the function f(x)=(x+4)²+5

hammer [34]

Answer:

$Range=\left \{y|y\geq 5\right \}$

Step-by-step explanation:

Since given the expression, this represents graphically a parabola with arms pointing up, and a vertical translation of its vertex 5 units up, then the range of the function must be all the y values such that they are greater or equal to 5. This is written as:

$Range=\left \{y|y\geq 5\right \}$

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3 years ago

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Mila [183]

Answer:

1. 47.1% 2. 69.4% 3. 72.9% 4. 55.6%

Step-by-step explanation:

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ex.

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143+59=202

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3 years ago