Ask question

Ask question

All categories

Natasha_Volkova [10]

3 years ago

12

The fence along the length of a ranch measures 4,450.5 meters and the fence along the width of a ranch measures 2,890 meters.

1 answer:

stiv31 [10]3 years ago

4 0

Given:
Length = 4,450.5 meters
Width = 2,890 meters

1 kilometer = 1,000 meters

Length: 4,450.5 meters * 1km/1,000 meters = 4,450.5 km/1,000 = 4.4505km

Width: 2,890 meters * 1km/1,000 meters = 2,890 km/1,000 = 2.89 km

4.4505 km - 2.89 km = 1.5605 km

The length of the fence is 1.5605 km longer than the width of the fence.

You might be interested in

Find the HCF of 96 and 108

White raven [17]

Step-by-step explanation:

it may help you to understand.

5 0

3 years ago

Read 2 more answers

F(x) = 3x^3 - 2x^2 - 11x + 10; (x + 2)<br><br> I need to factor and find the zeros.

Ratling [72]

Answer:

$\textsf{Factored function}: \quad f(x)=(x+2)(3x-5)(x-1)$

$\textsf{Zeros}: \quad x=-2, \quad x=\dfrac{5}{3},\quad x=1$

Step-by-step explanation:

<u>Given function</u>:

$f(x)=3x^3-2x^2-11x+10$

If (x + 2) is a factor then:

$\implies f(x)=(x+2)(ax^2+bx+c)$

Expand:

$\implies f(x)=ax^3+bx^2+cx+2ax^2+2bx+2c$

$\implies f(x)=ax^3+2ax^2+bx^2+2bx+cx+2c$

$\implies f(x)=ax^3+(2a+b)x^2+(2b+c)x+2c$

To find <em>a</em>, compare the coefficients of x³:

$\implies a=3$

To find <em>b</em>, substitute the found value of <em>a</em> into the coefficient for x² and compare:

$\implies 2a+b=-2$

$\implies 2(3)+b=-2$

$\implies b=-8$

To find <em>c</em>, compare the constants:

$\implies 2c=10$

$\implies c=5$

Therefore:

$\implies f(x)=(x+2)(3x^2-8x+5)$

Now factor (3x²-8x+5):

$\implies 3x^2-3x-5x+5$

$\implies 3x(x-1)-5(x-1)$

$\implies (3x-5)(x-1)$

Therefore the factored function is:

$\implies f(x)=(x+2)(3x-5)(x-1)$

<u>Zero Product Property</u>

$\boxed{\text{If \; $a \cdot b = 0$ \; then either \; $a = 0$ \;or \;$b = 0$ (or both)}.}$

To find the zeros, set each factor equal to zero and solve for x:

$\implies x+2=0 \implies x=-2$

$\implies 3x-5=0 \implies x=\dfrac{5}{3}$

$\implies x-1=0 \implies x=1$

Therefore, the zeros of the function are:

$x=-2, \quad x=\dfrac{5}{3},\quad x=1$

3 0

1 year ago

Two young sumo wrestlers decided to go on a special diet to gain weight rapidly. They each gained weight at a constant rate.

KatRina [158]

Gskwkwbsnakqcaahbdnakabsbzhz

8 0

3 years ago

If a table and a bench is $1000 combined. The cost of the table is three times the cost of the bench. What is the cost of the be

attashe74 [19]

1,000= 3x+x. 1,000=4x. 250=x. 1,000= 3(250) +250. 1,000=750+250. The bench costs $250.

5 0

3 years ago

(GEOMETRY), please help meee

Dmitry [639]

14. Trick question, ignore the side.

Call the angle b.

34 + b + b = 180

2b = 146

b = 73

choice b

15. That's intersecting chords so the product of the segment lengths are equal:

5(22)=10 x

x = 5(22)/10 = 11

choice a

16. Intersecting tangent and secant;

$x^2 = 5(19)$

$x = \sqrt{95} \approx 9.75$

Choice a

5 0

3 years ago