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Licemer1 [7]
3 years ago
9

Which especially shows the distance on a number line between -3 and -10

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0
I need the visuals to accurately answer your question. ;-;
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3 years ago
Leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. The triangular base has a
Illusion [34]

Answer: The answer is (A)~~x=\dfrac{-7+\sqrt{193}}{4}.


Step-by-step explanation: Given that Leonhard wants to place a triangular based cabinet in the corner of his room which is rectangular in shape.

The base and height of the triangular cabinet are

b=(2x+3)~\textup{feet},\\\\h=(3x+6)~\textup{feet}.

Therefore, area of the triangular cabinet is given by

a=\dfrac{1}{2}\times b\times h=\dfrac{1}{2}(2x+3)(3x+6)~\textup{sq. feet.}

Now, the length and breadth of the rectangular room are 30 feet and 20 feet respectively. Therefore, the area of the room is given by

A=30\times 20=600~\textup{sq. feet.}

According to the question,

a=6\%\times A\\\\\Rightarrow \dfrac{1}{2}(2x+3)(3x+6)=\dfrac{6}{100}\times 600\\\\\Rightarrow (2x+3)(3x+6)=24\times 3\\\\\Rightarrow (2x+3)(x+2)=24\\\\\Rightarrow 2x^2+7x-18=0\\\\\Rightarrow x=\dfrac{-7\pm\sqrt{7^2-4\times 2\times(-18)}}{2\times 2}\\\\\\\Rightarrow x=\dfrac{-7\pm\sqrt{193}}{4}.

Since the length of something cannot be negative, so the value of 'x' is

x=\dfrac{-7+\sqrt{193}}{4},

because if we take the other value of 'x', the values of (2x+3) and (3x+6) will become negative which is not possible.

Thus, (A) is the correct option.



5 0
3 years ago
Which of the following explains how to find the area of the base of the triangular prism?
Vanyuwa [196]

Answer:  Option D.

Step-by-step explanation: The formula for a triangular prism is B * h where B = area of base.

Multiply 24 * 10 then divide by 2. 24 * 10 / 2 = 120 = Area for the base of the triangle.

I hope this helped at least just a little bit. :)

5 0
3 years ago
Read 2 more answers
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