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3 years ago

I took a picture of the problem.

Mathematics

1 answer:

Olegator [25]3 years ago

6 0

Answer:

- 28

Step-by-step explanation:

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leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a

Georgia [21]

The answer is $x = \frac{-7+ \sqrt{193} }{4}$ .

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
P = a * b = 200 feet * 30 feet = 600 square feet.

6% of 600 square feet is 36 square feet:
600 square feet : 100% = A : 6%
A = 600 * 6 / 100 = 36 square feet

The area of the triangular-based cabinet (A) is $A = \frac{a*h}{2}$ , where a is the base, and h is the height of the triangle.
It is given:
A = 36
a = 2x + 3
h = 3x + 6

Now, let's implement this to the formula $A = \frac{a*h}{2}$ :
$36 = \frac{(2x+3)(3x+6)}{2}$
⇒ $36*2=6 x^{2} +12x+9x+18$
$72=6 x^{2} +21x+18$

Let's both sides divide by 3:
$24=2 x^{2} +7x+6$
⇒ $2 x^{2} +7x-18=0$

This is the quadratic formula ( $a x^{2} +bx+c=0$ ) for which
$x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ or
 $x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}$ .
We will use only $x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ , because the length cannot have negative value.

From the equation $2 x^{2} +7x-18=0$ , we know that
a = 2
b = 7
c = -18

Thus, $x = \frac{-7+ \sqrt{193} }{4}$ :
 $x= \frac{-b+ \sqrt{ b^{2} -4ac} }{2a} = \frac{-7+ \sqrt{ (7)^{2} -4*2*(-18)} }{2*2} = \frac{-7+ \sqrt{49+144} }{4} = \frac{-7+ \sqrt{193} }{4}$

4 0

3 years ago

What the volume of the soild

Montano1993 [528]

Answer:

A.264

Step-by-step explanation:

((Area Of triangle*height)=Volume

Area of triangle is the base of the triangle multiplied by height of triangle divided by 2

((8*6)/2)*11=264

8 0

1 year ago

Convert 2 3/4 into a improper faction

STatiana [176]

Answer:

11/4

Step-by-step explanation:

2 times 4 equals 8 and plus 3 equals 11 and dem is 4 so 11/4

8 0

3 years ago

Read 2 more answers

You can buy 5 t-shirts at baxter's for the same price that you can buy 4 t-shirts at Bixby's

katrin2010 [14]

Ok
What is the question

7 0

3 years ago

Qiaochu invested some money in a bank account. The relationship between the elapsed time, t , in months, since Qiaochu invested

LuckyWell [14K]

Answer:

It's 2% gets added to the total amount of money in the account

Step-by-step explanation:

7 0

2 years ago

I took a picture of the problem.​

I took a picture of the problem.