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2 years ago

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 36 feet. There will

Mathematics

1 answer:

mart [117]2 years ago

3 0

Answer:

The fencing would cost a total of $961.33 rounded to the nearest hundredth

Step-by-step explanation:

Circumference: 2πr (r = 18 or 1/2 diameter)

2 × 3.14 × 18 = 113.097336

113.097336 × $8.50 = $961.327356, which rounds up to $961.33

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kakasveta [241]

Answer:

ok so first amanda crossed then 10 meteters after bailey then anoth 10 meters cecilia so

10+10=20

20 meters

Hope This Helps!!!

4 0

2 years ago

find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis

antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

$x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0$

Which means that the roots are

$x=0\ \lor\ x=1\ \lor\ x=-2$

Next, we can expand the function definition:

$y = x(x-1)(x+2) = x^3 + x^2 - 2x$

In this form, it is much easier to compute the derivative:

$y' = 3x^2+2x-2$

If we evaluate the derivative in the points of interest, we have

$y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3$

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

$y-y_0=m(x-x_0)$

is what we need. The three lines are:

$y-0=6(x+2) \iff y = 6x+12$ This is the tangent at x = -2

$y-0=-2(x-0) \iff y = -2x$ This is the tangent at x = 0

$y-0=3(x-1) \iff y = 3x-3$ This is the tangent at x = 1

7 0

2 years ago

For every part produced by the factory there are 5 ounces of scrap aluminum that can be recycled. There are 16 ounces in 1 Pound

Alborosie

6,400 parts are needed to make 1 ton of scrap metal

5 0

1 year ago

Write an equation for the line in slope-intercept form.

atroni [7]

Answer:

y=3x+5

Step-by-step explanation:

Slope is rise/run. To find it, you first see how many units it goes up, followed by how many units it goes to the right. If you look at the point (-1, 2), it rises 3 tiles, and runs 1 tile until it hits the next whole number. Because your little formula is rise/run, it would be 3/1, or 3. And to get your y-intercept, it's just when it intersects the y-axis, which is at 5. So, your equation would be y=3x+5

3 0

2 years ago

Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in

pentagon [3]

Compound inequality combines multiple single inequalities.

The solution and interpretation of the inequality is:

$x > 50$ and $x < 150$ . Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.