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2 years ago

If 35% of a natural area is to be developed, leaving 500 acres untouched, how many acres are to be developed?

2 answers:

8 0

Given that the 35% of area has been developed, the percentage of land that has not been developed is:
100-35
=65%
hence the acres of land that are to be developed will be:
35/65*500
=269.23 acres
the answer is 269.23

harkovskaia [24]2 years ago

5 0

Answer:

Area to be developed = 269.23 acres

Step-by-step explanation:

Let there is A acres natural area to be developed.

If 35% of A acres is developed then untouched area will be (100 - 35 = 65%)

Now it has been given in the question that 65% of A (untouched area) = 500 acres

$A.\frac{65}{100}=500$

$A=\frac{500}{0.65}=769.23$

So area of the natural field = 769.23 acres

Now 35% of the natural area which is to be developed = A×35%

$=769.23.\frac{35}{100}=(769.23)(.35)=269.23$

Area of the natural area to be developed is 269.23 acres

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Find a polynomial function of degree 3 such that f(10)=17 and the zeros of f are 0, 5 and 8

fomenos

Step-by-step explanation:

Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.

We know that f(10) = 17.

=> A(10)(10 - 5)(10 - 8) = 17

=> A(10)(5)(2) = 17

=> 100A = 17, A = 0.17.

Hence the answer is f(x) = 0.17x(x - 5)(x - 8).

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1 year ago

A band director uses a coordinate plane to plan as how for a football game. During a show, the drummers will march along the lin

LenaWriter [7]

Answer:

The equation in slope-intercept form for the path of the trumpet players is $y=\frac{x}{5}+\frac{12}{5}$ .

Step-by-step explanation:

Consider the provided information.

The drummers will march along the line y=-5x-8.

The trumpets players will march along a perpendicular line that passes through (-2,2).

The slope of line y=-5x-8 is: m₁ = -5.

The slope of perpendicular lines are: $m_1\times m_2=-1$

$-5\times m_2=-1$

$m_2=\frac{1}{5}$

Hence, the slope of the line should be 1/5.

The line passes through (-2,2).

Now use point slope form to find the equation of line.

$y-y_1=m(x-x_1)$

Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.

$y-2=\frac{1}{5}(x+2)$

$y-2=\frac{x}{5}+\frac{2}{5}$

$y=\frac{x}{5}+\frac{2}{5}+2$

$y=\frac{x}{5}+\frac{12}{5}$

Hence, the equation in slope-intercept form for the path of the trumpet players is $y=\frac{x}{5}+\frac{12}{5}$ .

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1 year ago

A line contains the points (82, −96) and (87, −86).

Alik [6]

Answer:

<h2>The answer is 2</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(82, −96) and (87, −86)

We have

$m = \frac{ - 86 - - 96}{87 - 82} = \frac{ - 86 + 96}{5} = \frac{10}{5} = 2 \\$

We have the final answer as

Hope this helps you

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2 years ago

The coordinates of parallelogram PVWZ are P(0, 0), V(-p, q), and W(-p - r, q). Find the coordinates of Z without using any new v

Drupady [299]

For the answer to the question above asking to f<span>ind the coordinates of Z without using any new variables.
</span>

Vector WZ equals vector VP, which is (p, -q)
So Z is (-p - r + p, q - q) which is (-r, 0)
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2 years ago

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frutty [35]

T<span>he area of a figure is the measure of the extent of a two dimensional figure which is usually measured as the square units of the dimensions of the figure.

For example, given a figure with dimensions, say k, the area of the figure is given by $k^2$ .
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<span>Given that o<span>ne similar figure has an area that is nine times the area of another.

Since the two figures are similar, it means that there areas will be proportional as their dimensions will be proportional.

Let the dimensions of the smaller figure be k and the larger figure is p times the smaller figure. Then the area of the smaller figure is $k^2$ and the area of the larger figure is $(pk)^2$ .

Now, given that the area of the larger figure is nine times the area of the smaller figure, this means that:
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</span>
Therefore, the larger figure must have dimensions that are 3 times the dimensions of the smaller figure.</span>

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1 year ago

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