a rectangular field with a area of 8000m2 is enclosed by 400m of fencing. determine dimensions to nearest tenth of a metre

Answers

Answer 1

Answer: $field:x\ *\ y\n\n \left\{\begin{array}{ccc}x\cdot y=8000\n2x+2y=400&/:2\end{array}\right\n\left\{\begin{array}{ccc}x\cdot y=8000\nx+y=200&\to x=200-y\end{array}\right\n\nsubstitute\ to\ x\cdot y=8000\n\n(200-y)\cdot y=8000\n\n-y^2+200y-8000=0\n\n\Delta=b^2-4ac;\ \Delta=200^2-4\cdot(-1)\cdot(-8000)=40000-32000=8000\n\ny_1=(-b-\sqrt\Delta)/(2a);\ y_2=(-b+\sqrt\Delta)/(2a)$

$\sqrt\Delta=√(8000)=√(1600\cdot5)=40\sqrt5\n\ny_1=(-200-40\sqrt5)/(2\cdot(-1))=(-200-40\sqrt5)/(-2)=100+20\sqrt5\approx144.7\ (m)\n\ny_2=(-200+40\sqrt5)/(2\cdot(-1))=(-200+40\sqrt5)/(-2)=100-20\sqrt5\approx55.3\ (m)\n\nx_1\approx200-144.7=55.3\ (m)\n\nx_2\approx200-55.3=144.7\ (m)\n\nAnswer:Dimension of the field is:55.3m\ *\ 144.7m$

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2/3(3x-15y)+(9y-11x)

Answers

$(2)/(3)(3x-15y)+(9-11x)=\n\n2x-10y+9-11x=\n\n-9x-10y+9\n\nAnswer\ is\ -9x-10y+9$

Please help.Whats thr volume of a right pyramid whose base is a square with a side 6m long and whose altitude is equal to the base side?

Answers

Answer: $72\text{ cubic meters}$

Step-by-step explanation:

Given: The base of the right pyramid is square with side = 6 m

Since, the altitude (h) is equals to the base , thus h=6m.

We know that the volume of the square pyramid is given by :_

$\text{Volume}=(1)/(3)a^2h$ , where a is the side of the square.

Then, the volume of the given right pyramid is given by :_

$\text{Volume}=(1)/(3)(6)^2(6)\n\n\Rightarrow\ \text{Volume}=72\text{ cubic meters}$

V=(1/3)(area of the base)(altitude)

V=(1/3)(6²)(6)= 72 m³

Combine like terms. 9 + 3x – 9x + 16a. 18x + 3x + 16
b. 19x
c. 25 – 6x
d. 3x + 16

Answers

9 + 3x - 9x + 16
Like terms are terms that have the same variable and powers.

9 and 16 are like terms. They don't have any other variables and can easily be solved.

9 + 16 = 25

3x and -9x are like term. They both have the same variable and powers, x. The coefficients, 3 an d-9, don't have to match as long as the variable and powers are the same.

3x - 9x = -6x

9 + 3x - 9x + 16 ⇒ 25 - 6x Choice C.

3x and -9x are like term. They both have the same variable and powers, x. The coefficients, 3 an d-9, don't have to match as long as the variable and powers are the same.

3x - 9x = -6x

9 + 3x - 9x + 16 ⇒ 25 - 6x Choice C.

The formula for density is given by p=m/v where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml7.7
7.7278
7.73
0.1