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3 years ago

I’ll give brainliest

Mathematics

1 answer:

Hoochie [10]3 years ago

7 0

Answer:

Step-by-step explanation:

P of red or green = (40 red+ 10 green)/ (40 red +50 yellow+10 green)

= 50/ 100= 1/2

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Find the dimensions of the rectangular corral producing the greatest enclosed area given 320 feet of fencing. (Assume that the l

jenyasd209 [6]

Answer:

The dimensions of the rectangular corral producing the greatest enclosed area is a square of 80 ft x 80 ft

Step-by-step explanation:

Let

x -----> the length of the rectangular corral in feet

y -----> the width of the rectangular corral in feet

we know that

The area of the rectangular corral is equal to

$A=xy$ -----> equation A

The perimeter of the rectangular corral is equal to

$P=2(x+y)$

$P=320\ ft$

$320=2(x+y)$

Simplify

$160=(x+y)$

$y=160-x$ -----> equation B

substitute equation B in equation A

$A=x(160-x)$

$A=-x^2+160x$

This is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the length for the maximum area

The y-coordinate of the vertex represent the maximum area

Convert the quadratic equation in vertex form

$A=-x^2+160x$

Factor -1

$A=-(x^2-160x)$

Complete the square

$A=-(x^2-160x+80^2)+80^2$

$A=-(x^2-160x+80^2)+6,400$

Rewrite as perfect squares

$A=-(x-80)^2+6,400$

The vertex is the point (80,6,400)

$x=80\ ft$

The maximum area is 6,400 ft^2

<em>Find the value of y</em>

$y=160-x$ ----> $y=160-80=80\ ft$

therefore

The dimensions of the rectangular corral producing the greatest enclosed area is a square of 80 ft x 80 ft

4 0

2 years ago

X^2 - x -12 < 0

Semenov [28]

C) is the correct answer

5 0

3 years ago

Does someone know tha answer??

e-lub [12.9K]

Answer:

either 5 or 6 months

Step-by-step explanation:

Tom M Jerry

500 1 125

475 2 175

450 3 225

425 4 275

400 5 325

375 6 375

3 0

2 years ago

What is the polynomial function of lowest degree with rational real coefficients, and roots -3 and square root of 6?

telo118 [61]

9514 1404 393

Answer:

f(x) = x³ +3x² -6x -18

Step-by-step explanation:

In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...

f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)

f(x) = x³ +3x² -6x -18

4 0

2 years ago

Maggie drew triangle and then triangle . Triangle is congruent to triangle only if ∠ is equal to what value?

Phantasy [73]

Answer:

Angle ABE = 58

Step-by-step explanation:

This would fulfill the AAA theorem, or 3 angles needing to be congruent. We got 58 by subtracting 89 and 62 from 180, then multiplying that answer by 2 (because it occupies both triangles).

7 0

2 years ago