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2 years ago

What is the area of a rectangular holding pond with length 8/15 mile and width 1/6 mile?

Mathematics

2 answers:

SSSSS [86.1K]2 years ago

4 0

as you already know, the area of a rectangle is just length*width, so is just the product of those two.

$\bf \cfrac{8}{15}\times \cfrac{1}{6}\implies \cfrac{8}{6}\times \cfrac{1}{15}\implies \cfrac{4}{3}\times \cfrac{1}{15}\implies \cfrac{4}{45}$

astraxan [27]2 years ago

3 0

Answer:

Area of rectangular holding pond is:

0.088 mile²

Step-by-step explanation:

We have to find the area of a rectangular holding pond with length 8/15 mile and width 1/6 mile

We know that area of rectangle= Length × width

So, Area of a rectangular holding pond = $\dfrac{8}{15}\times \dfrac{1}{6}$

= 0.088 mile²

Hence, Area of rectangular holding pond is:

0.088 mile²

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The polygons are similar. but they are not necessarily drawn to scale. Find the value of x

Ne4ueva [31]

Answer:

x=9

Step-by-step explanation:

Since the polygons are similar, the ratios of their respective sides are equal.

32/24=(x-1)/6

x-1=8

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2 years ago

to angie's ladder was 22 feet tall above the ground lying against the wall of her house.the base of the ladder was 5 feet tall.w

Talja [164]

Answer:

Step-by-step explanation:

Okay, so attached is a diagram of the triangle we are solving. Because buildings are almost always perpendicular (90 degrees) to the ground, it is a right triangle.

You can now use the pythagorean theorem with the sides to fill in the other side:

a^2+ b^2= c^2

5^2 + b^2= 22^2

25+b^2=484

b^2= 459

b=21.42

Okay, so for slope you need 2 points- think of the wall as your y axis, and the ground as your x axis. The ladder is the line.

Your first point is (-5,0) because the bottom of the ladder is touching the ground (no y movement) and the bottom of the ladder is 5 feet from the base of the wall and ground (origin).

The second point is going to be (0, 21.42) because that is the height of the wall where the ladder is touching (x is at origin). The 21.42 is positive, because you can't have negative height.

Okay so far? :)

(-5,0) and (0, 21.42)

(x1, y1) and (x2, y2)

slope= (y2-y1)/(x2-x1)

slope= (21.42-0)/ (0-(-5)) ---- becomes positive

slope= 4.284

(Note: slope could also be negative if you put the ladder on the other side of the wall- 5 would become positive... google "positive vs negative slopes" for more info)

Hopefully that answers your question!