All categories

3 years ago

Five expressions that are equivalent to 20x + 18

Mathematics

1 answer:

jonny [76]3 years ago

7 0

1) 10x + 9

2) 40x + 36

3) 60x + 54

4) 80x + 72

5) 100x + 90

You might be interested in

Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

4 years ago

If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the m

zaharov [31]

12,5,13 are Pythagorean triplets..

so, missing side will be 12 inches

hope it helps

Hyp^2 = Base^2 + perpendicular^2

4 0

3 years ago

Read 2 more answers

Please Help Me ASAP I Need <br> This For My grade

mel-nik [20]

Answer:

$\huge slope \: of \: the \: graph = \tan( \alpha ) = \frac{perpendicular}{base} = \frac{(value\:of\: y-axis)}{(value\:of\:x-axis)} = \frac{1}{ - 1} = - 1$

<h2>-1 is the right answer.</h2>

5 0

3 years ago

45^2 ÷ 78 = ????????

elena55 [62]

$\frac{(45)^2}{78}$

To solve the problem find the value of (45)^2 at first

$(45)^2=2025$ $\frac{2025}{78}=25\text{ R75}$

The answer is 25 with the remainder 75

$25\frac{75}{78}$

You can simplify the fraction to be 25/26

$25\frac{25}{26}$

3 0

1 year ago

What is the area of the following trapezoid

nignag [31]

Answer:

d. 130

Step-by-step explanation:

3 0

3 years ago