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weqwewe [10]
3 years ago
15

Suppose you have a right triangle area marked in the ground with a base (8-h) meters long and a height h meters long. the hypote

nuse is 6 meters long.
part a: what is the length of the height of the right triangle
Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

5.415m and 2.585m long

Step-by-step explanation:

For a right triangle

hyp^2 = opp^2 + adj^2 (Pythagoras theorem)

Given

hypotenuse = 6m

height(opposite) = h meters

Adjacent = (8-h)m

Substitute into the expression above;

6² = h²+(8-h)²

36 = h²+64-16h+h²

36 = 2h²-16h+64

2h²-16h+64-36 = 0

2h²-16h+28= 0

Divide through by 2

h²-8h+14 = 0

Using the general formula

h = 8±√8²-4(14)/2

h = 8±√64-56/2

h = 8±√8/2

h = 8±2.83/2

h = 8+2.83/2 and 8-2.83/2

h = 10.83/2 and 5.17/2

h = 5.415 and 2.585

hence the length of the height of the right triangle are 5.415m and 2.585m long

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(B) The customer that owns a 5-kW system exports 300 kWh monthly to the grid will have the following bills for both companies:

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4 0
1 year ago
Evaluate x 3 for x = 2.
solong [7]
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6 0
3 years ago
Please help!!!! im stuck on this oneeeeeeeeeeeeee and also explain
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Step-by-step explanation:

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01. En una piscigranja el 30% de boquichicos es el 20% del número de carachamas. Si sólo hay boquichicos y carachamas. ¿Qué porc
Simora [160]

Answer:

0.1. B) 50%

0.2 A) Psicología

Step-by-step explanation:

01. Dejemos que 'x' e 'y' representen el porcentaje de boquichicos y carachamas en la piscifactoría, tenemos;

Dado que el 30% de los boquichicos es el 20% del número de carachamas

30% x = 20% y

∴ 0.3 · x = 0.2 · y

Por lo tanto, tenemos;

x / y = 0,2 / 0,3 = 2/3

Por lo tanto, por cada 100% de pescado, tenemos;

x + y = 100%

x = 2/3 · y

2/3 · y + y = 100%

5 · años / 3 = 100

y = 100 × 3/5 = 60%

El porcentaje de carachamas en la finca, y = 60%

∴ x = 100% - y = 100% - 60% = 40%

El porcentaje de boquichicos en la finca, x = 40%

Por lo tanto, tenemos el 80% del pescado en la granja, obtenemos;

Si hay 100 peces en la granja, 80% = 80 peces

Pero el número de los 100 peces que son boquichicos en la granja = 40% × 100 = 40 peces

Por lo tanto, los boquichicos son la mitad del 80% del número de peces o el 50% de los peces en la piscifactoría.

La opción correcta es;

B) 50%

02. Tenemos;

El costo de un libro de psicología> El costo de un libro en inglés

El costo de un libro de matemáticas> El costo de un libro de historia

El costo de un libro de psicología> El costo de un libro de matemáticas

Por lo tanto, tenemos;

El costo de un libro de psicología> El costo de un libro de matemáticas> El costo de un libro de historia

∴ El libro de Psicología es más caro que todos los demás libros y, por tanto, es el libro más caro

La opción correcta es;

A) Psicología

3 0
3 years ago
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