All categories

3 years ago

a rain gutter is 24 feet long, 4 inches in height, 3 inches at base and 6 inches at top. how many gallons of water will it hold?

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

3 0

Answer:1.8701

Step-by-step explanation:

Area (A) of trapezium as marked is = $\frac{1}{2}$ $\left ( sum\ of\ parallel\ sides\right )\times height$

A= $\frac{1}{2}$ $\left ( 3+6\right )\times 4$

A=18 $in^2$

Now for Volume we have to multiply by length because area is same across the length.

volume(v)= $A\times length$

Volume(v)= $18\times 24$

Volume(v)=432 $in^3$

Volume(v)=1.8701 gallon

You might be interested in

Brainliest for help! Sketch a graph of the function y =sin(x) + 2

diamong [38]

Answer:

The parent sine graph $y=sin(x)$ has a range of -1 ≤ y ≤ 1

It crosses the x-axis x = 0° ± 180°n

The maximum points occur when x = 90° ± 360°n and y = 1

The minimum points occur when x = 270° ± 360°n and y = -1

The sketch the graph of function $y=sin(x)+2$ we simply move the graph of $y=sin(x)$ up 2 units.

So this means it will have a range of 1 ≤ y ≤ 3

It no longer crosses the x-axis.

The maximum points occur when x = 90° ± 360°n and y = 3

The minimum points occur when x = 270° ± 360°n and y = 1

Attached diagram

The parent function $y=sin(x)$ is shown in grey (dashed line)

The function $y=sin(x)+2$ is shown in red.

4 0

2 years ago

Simplify each expression

katrin2010 [14]

Answer:

${x}^{ \frac{1}{2} } \times {x}^{ \frac{2}{3} }$

${x}^{ \frac{3 + 4}{6} }$

${x}^{ \frac{7}{6} }$

6 0

3 years ago

Rewrite the equation in Ax+By=C form. Use integers A, B, and C. y+5=5(x-3)

Kaylis [27]

$y+5=5(x-3)\\ y+5=5x-15\\ 5x-y=20$

4 0

4 years ago

Read 2 more answers

Express 11011 in base two

WITCHER [35]

Answer:

Step-by-step explanation:

Hello,

11011 in base 2 is

1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 in base 10

which is 16 +8+2+1=27

Do not hesitate if you have any question

8 0

3 years ago

The volume of a metal cylindrical rod is 126 cubic meters. The radius is 6 m. What is the height of the rod in millimeters?

Dahasolnce [82]

Answer:

1.11 mm

Step-by-step explanation:

The height of a cylinder can be found using the formula: h=V/(πr^2)

This formula was found by taking the formula for the volume of a cylinder and solving for h, or height. Knowing that V is 126 and the radius is 6, we can plug in our known variables in order to solve for h.

8 0

3 years ago

Read 2 more answers