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andrezito [222]
3 years ago
8

Write 2.33 as a mixed number and as an improper fraction. Do not try to simplify your answers.

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

5

Step-by-step explanation:

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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from
Lapatulllka [165]
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

The area of a triangle is= \frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]

=|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|

=|-54| = 54 square units

The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

                          = \sqrt{(2-12)^{2} +(1-8)^2}

                         =\sqrt{149} units

Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

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3 years ago
The equation (x + 6)^2 + (y + 4)^2 = 36 models the position and range of the source of a radio signal. Describe the position of
ElenaW [278]
A circle equation is :
( x - p )² + ( y - q )² = r², where p and q are coordinates of the center.
The position of the source is : ( - 6, - 4 ) and the range :
r² = 36   ⇒   r = 6
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3 years ago
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la raiz cuadrada de un numero negativo tiene solución en el campo numerico de los reales verdadero o falso
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Answer:

sorry i don't speak spanish but if i did i would have gave u the answer

Step-by-step explanation:

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How are the step by step math problem suppose to be for this math problem (-2-8)^2?
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Answer:

the answer is 100

Step-by-step explanation:

(-2-8)^2

(-2-8)(-2-8)

-2(-2-8)-8(-2-8)

4+16+16+64

20+80

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A fisherman is sitting 2 feet above the surface of a lake on a boat. The hook on
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