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3 years ago

Find the area of a triangle whose height is 2x and base is 2x + 2.

Mathematics

1 answer:

wel3 years ago

3 0

Answer: $2x^{2}+2x$

Step-by-step explanation:

1. You must apply the formula for calculate the area of a triangle, which is shown below:

$Area=\frac{base*height}{2}$

2. You know the height and the base, which are given in the problem. Then, you only need to substitute them into the equation shown above and simplify it, as following:

$Area=\frac{2x(2x+2)}{2}$

$Area=x(2x+2)\\Area=2x^{2}+2x$

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lakkis [162]

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4 years ago

What is the best estimate for the volume of the pyramid?

professor190 [17]

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3 years ago

The expression (x+j)(x-j)(x-k) can be rewritten as x^3-5x^2-4x+t, where j,k, and t are constants. Which of the following is the

kirza4 [7]

The correct option is: 20

Explanation

The expression $(x+j)(x-j)(x-k)$ can be rewritten as $x^3-5x^2-4x+t$

That means: $(x+j)(x-j)(x-k)= x^3-5x^2-4x+t$

Now simplifying the left side, we will get....

$(x+j)(x-j)(x-k)= x^3-5x^2-4x+t\\ \\ (x^2-j^2)(x-k)= x^3-5x^2-4x+t\\ \\ x^3-kx^2-j^2x+j^2k= x^3-5x^2-4x+t$

Now comparing the co-effcients of like terms in left and right side, we will get.....

$k=5, j^2=4 \\ \\ and\\ \\ t=j^2k\\ \\ So, t= (4)(5) =20$

Thus, the value of 't' will be 20.

8 0

3 years ago

Illinois has a flat income tax rate of 5.00%. How much state income tax, in dollars, does a person with a taxable income of $60,

vesna_86 [32]

We need to compute 5% out of $60K.

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4 0

4 years ago

Nitric acid (specific gravity 1.42) costs $51.95 per liter. A student spills 5.112 kg of nitric acid in the laboratory, what is

Leno4ka [110]

Answer:

The cost of wasted nitric acid is $187.02

Step-by-step explanation:

Since it is given that specific gravity of Nitric Acid is 1.42 Thus the density of nitric acid is

$\rho _{acid}=S.G\times \rho _{water}\\\\\\\rho_{acid}=1.42\times 1\frac{g}{cm^3}\\\\\rho_{acid}=1.42g/cm^3$

Now from the basic relation of mass volume and density we have

$\rho =\frac{Mass}{Volume}\\\\\therefore Volume=\frac{Mass}{\rho }$

Since the mass of the nitric acid is given to be 5.112 kg = 5112 grams

Thus the volume of nitric acid is

$Volume=\frac{5112}{1.42}=3600cm^3$

Now we know that 1000 cubic centimeters euals 1 litrer

Thus the calculated volume in liters is

$V_{liters}=\frac{3600}{1000}=3.6Liters$

Thus the cost of acid spilled equals

$Cost=3.6\times 51.95=187.02$

5 0

3 years ago