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3 years ago

6

A rectangle has a length of x inches and a width of 10 inches. What is the best equation to represent the perimeter of the recta

ngle?

1 answer:

aleksandrvk [35]3 years ago

5 0

Since there are 2 length sides and 2 width sides, the best equation to represent the perimeter would be 2x + 2(10) = P

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Simplify using the rules of rational exponents

kaheart [24]

I should answere should be C

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2 years ago

The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the nu

ZanzabumX [31]

The <em>expected number of mortgages</em> approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.

<u>The expected number of mortgages approved per week</u> :

<em>Mean = (Σfx ÷ Σf)</em>

Expected Number approved = 210 ÷ 104 = 2.019

Hence, it is expected that 2.019 mortageahes would be approved per week.

<u>The standard deviation</u> :

<em>Variance = [Σ(Xi - x)² ÷ Σf] </em>

<em>Standard deviation = √Variance</em>

Variance = (59.5414 ÷ 104) = 0.0005698

Standard deviation = √0.0005698

Standard deviation = 0.024

Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.

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2 years ago

Here is an equilateral triangle. The length of each side is units. A height is drawn. In an equilateral triangle, a line drawn f

Temka [501]

1. Height of the equilateral triangle is: √3 units

2. Area of the equilateral triangle = √3 units²

3. Area = √3/4 x², when each side is x.

<h3>What is an Equilateral Triangle?</h3>

A triangle that has all its three sides equal in length, is referred to as an equilateral triangle.

1. Given the each side measures 2 units, and h is the height, applying the Pythagorean theorem, we would have:

h = √(2² - 1²)

h = √(4 - 1)

h = √3

2. Area of the equilateral triangle = 1/2bh = 1/2(2)(√3)

Area of the equilateral triangle = √3 units²

3. If x is the side length of the equilateral triangle, we would have:

height (h) = √[x² - (x/2)²] = √[x² - x²/4] = √(3x²/4) = √3/2x

Area = 1/2bh = 1/2(x)(√3/2x) = √3/4 x²

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3 0

1 year ago

Rounding 8,469 to one decimal place

wlad13 [49]

Answer:

do you mean "8.469"? of so 8.5

Step-by-step explanation:

assuming the comma should be a decimal

3 0

3 years ago

Calcula la longitud en YARDAS de

tatiyna

Answer:

Las longitudes solicitadas en yardas son:

<u>Trayecto A = 109.361 yardas.</u>
<u>Trayecto B = 20.231785 yardas.</u>

Step-by-step explanation:

Para hacer la conversión de unidades que requieres en el ejercicio, debes saber que:

1 metro = 1.09361 yardas

Con ese factor de conversión tú puedes hacer reglas de tres para calcular las medidas que requieres. En el caso del trayecto A:

Si:

1 metro = 1.09361 yardas
100 metros = X

Entonces:

$x=\frac{100m *1.09361yardas}{1m}$

Cancelamos metros y obtenemos:

x = 100 * 1.09361 yardas
<u>x = 109.361 yardas</u>

En este caso, <u>el trayecto A en yardas corresponde a 109.361 yardas</u>. El mismo procedimiento puede aplicarse para el trayecto B:

Si:

1 metro = 1.09361 yardas
18.50 metros = X

Entonces:

$x = \frac{18.50m*1.09361yardas}{1m}$

Cuando se cancelan los metros se obtiene:

x = 18.50 * 1.09361 yardas
<u>x = 20.231785 yardas</u>

Así, <u>el trayecto B en yardas corresponde a 20.231785 yardas</u>.

4 0

3 years ago