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3 years ago

The trapezoid and kite have been broken for you.

Mathematics

1 answer:

faltersainse [42]3 years ago

6 0

Answer:

20 m²
21 m²
less than

Step-by-step explanation:

<u>Trapezoid</u>

The trapezoid has been broken into two triangles and a rectangle. The two triangles both have the same dimensions, so both have the area ...

A = (1/2)bh = (1/2)(2 m)(5 m) = 5 m²

The rectangle has area ...

A = bh = (2 m)(5 m) = 10 m²

So, the total area of the trapezoid is ...

trapezoid area = 5 m² +10 m² +5 m²

trapezoid area = 20 m²

The kite has been broken into two triangles, so the area of each of them is ...

A = (1/2)bh

A = (1/2)(7 m)(3 m) = (21/2) m²

Then the area of the two halves of the kite will be ...

kite area = 2 × (21/2 m²)

kite area = 21 m²

The area of the trapezoid is <u>1 m² less than</u> the area of the kite.

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A rectangular planter can hold 2,304 cubic inches of soil. The dimensions of the base of the planter are 24 inches by 12 inches.

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Your answer should be 3) 16 inches.

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3 years ago

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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

How do you convert 4.5 hours to minutes ?

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3 years ago

Another scale drawing of Jimmy's living room is shown below:

deff fn [24]

Answer:

last option

Step-by-step explanation:

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5 0

3 years ago

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.

murzikaleks [220]

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

<u>Remove the brackets</u>

That's

9m + 3n - 11 + m + 4n - 3

<u>Group like terms</u>

9m + m + 3n + 4n - 11 - 3

The final answer is

Hope this helps you

4 0

3 years ago