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3 years ago

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A rectangular field will be fenced on all four sides. Fencing for the north and south sides costs $5 per foot and fencing for th

e other two sides costs $12 per foot. What is the maximum area that can be enclosed for $4800?

1 answer:

Vesnalui [34]3 years ago

4 0

The answer is "141.17647058823529411764705882353", hope this helps! Please Mark me the brainliest! ☺

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what is an equivalent fraction to 3/8 ? Find a common denominator for the pair of fractions. Then, write equivalent fractions

Ann [662]

Answer:

6 1/6

Step-by-step explanation:

A fraction that is equivalent to 3/8 is 6 1/6

5 0

3 years ago

A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole

Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

$\sin\theta=\dfrac{h}{H}$

h is perpendicular and H is hypotenuse

So,

$\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}$

Now using Pythagoras theoerm,

$b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft$

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0

3 years ago

Please help! Find the equation of the line (graph provided in attached picture) Use exact numbers. y =_ x+_ ( _ represent blanks

Dennis_Churaev [7]

Answer:

$y = \frac{3}{4}x - 2$

Step-by-step explanation:

Equation of a line is given as $y = mx + b$

Where,

m = slope of the line = $\frac{y_2 - y_1}{x_2 - x_1}$

b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.

Let's find m and b to derive the equation for the line.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Use the coordinate pair of any two points on the line. Let's use the following,

$(0, -2) = (x_1, y_1)$ => on the line, when x = 0, y = -2

$(4, 1) = (x_2, y_2)$ => on the line, when x = 4, y = 1

Plug in the values and solve for m

$m = \frac{1 - (-2)}{4 - 0}$

$m = \frac{1 + 2}{4}$

$m = \frac{3}{4}$

b = -2 (the line intercepts the y-axis at this point)

Our equation would be =>

$y = mx + b$

$y = \frac{3}{4}x + (-2)$

$y = \frac{3}{4}x - 2$

5 0

3 years ago

When a number x is multiplied by 4, the result is 2/5. What is t he value of x

PIT_PIT [208]

The equation:

$x\cdot4=\dfrac{2}{5}\ \ \ \ |\text{divide both sides by 4}\\\\x=\dfrac{2}{5}:4\\\\x=\dfrac{2}{5}\cdot\dfrac{1}{4}\\\\x=\dfrac{1}{5}\cdot\dfrac{1}{2}\\\\\boxed{x=\dfrac{1}{10}}$

5 0

3 years ago

Please help me with number 9! (Math)

Andrej [43]

Hi

I belive you add the top side (4) plus the bottom side (9.5) witch would equal 13.5 times the hieght (3) equals 40.5 divided by 2 equals 20.25. the area is 20.25ft squared

another way to do it
4+9.5= 13.5
13.5×3= 40.5
40.5÷2= 20.25ft

8 0

3 years ago