All categories

2 years ago

What is an inequality

Mathematics

1 answer:

agasfer [191]2 years ago

3 0

Inequalities are number sentences that compare two numbers. sometimes we use variables when writing inequality’s.

You might be interested in

What is the length of the major axis of the conic section shown below?

sveticcg [70]

$\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1$

The equation of a elipse:

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$

The length of the major axis is equal 2a if a > b or 2b if b > a.

We have

$a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b$

therefore the length of the major axis is equal 2 · 7 = 14.

7 0

3 years ago

Find the volume of the cylinder if the height is 3 mm and the diameter is 40 mm. Leave the answer in terms of it.

KiRa [710]

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Step-by-step explanation:

Height of cylinder = 3mm

Diameter of cylinder = 40mm

Volume of cylinder = ?

The formula used to find Volume of cylinder is:

$Volume = \pi r^2h$

Putting values in the formula:

Since we need radius,

radius = diameter/2

radius = 40/2

radius = 20 mm

So,

$Volume = \pi r^2h\\Volume = 3.14*(20)^2*3\\Volume = 3.14*400*3\\Volume= 3769.91 or \,\,\,Volume\approx 3770\,\,cubic\,\,millimeters$

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

#learnwithBrainly

6 0

3 years ago

Is angle 2 in the diagram and angle of elevation or an angle of depression

Brrunno [24]

Answer:

Angle of elevation

Step-by-step explanation:

An angle measured from the horizontal upwards is an angle of elevation.

An angle measured from the horizontal downwards is an angle of depression.

∠ 2 is a measure from the horizontal upwards thus angle of elevation.

Note that ∠ 3 is an angle of depression

4 0

3 years ago

Please solve and please make sure your correct

Mazyrski [523]

Answer:

(a) The ones that are equivalent to the given fraction are: $\frac{2}{-9}$ and $-\frac{2}{9}$

(b) The one that is equivalent to the given fraction is: $\frac{-8}{-5}$

3 0

2 years ago

g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and

scoray [572]

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

$Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where $\overline{x}$ = Sample mean , $\mu$ = population mean, $\sigma$ = population standard deviation, n= sample size.

As per given , n=10

$\mu$ = $29,056

$\sigma$ = $3,339

$\overline{x}$ = $31,650

Then,

$z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46$

Hence, the z-score = 2.46

4 0

2 years ago