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3 years ago

Can you help me answer this MATHS question: 4-x<9

Mathematics

2 answers:

shutvik [7]3 years ago

8 0

Answer:

5<x

Step-by-step explanation:

4-x<9 =9-4<x

When -x crosses the 'less than' sign it becomes a positive

aleksley [76]3 years ago

3 0

Answer:

Step-by-step explanation:

4-x<9

-x < 5

x < -5

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A garden has an area of 32 square feet what is the smallest possible perimeter

stepan [7]

Answer:

24 feet

Step-by-step explanation:

factors that produce an area of 32:

1x32 Would give a perimeter of 66

2x16 Would give a perimeter of 36

4x8 Would give a perimeter of 24

6 0

3 years ago

Find the volume of the cylinder using the given formula

insens350 [35]

Answer:

B. 1469.52 cubic units

Step-by-step explanation:

6 squared is 36, 36 x 13 is 46s, 468 x 3.14(pie) is 1469.52

3 0

3 years ago

The angle of depression from the basketball hoop to Clairs eyes is 9.2degrees. The vertical distance from the ground to Claires

Norma-Jean [14]

X - difference between the height of the basketball hoop and the vertical distance from the ground to Clair´s eyes.
Using T O A:
tan (9.2°) = x / 22 ft
x = tan (9.2°) · 22 ft
x = 0.162 · 22 ft
x = 3.564 ft
The height of the basketball hoop is:
h = 5.6 + 3.564 = 9.164 feet

8 0

3 years ago

Read 2 more answers

2x^3-16x^2-40x=0 factor

ExtremeBDS [4]

The given expression is

$2x^3-16x^2-40x=0$

We extract the common factor 2x.

$\begin{gathered} 2x(x^2-8x-20)=0 \\ 2x=0\rightarrow x=0 \\ x^2-8x-20=0 \end{gathered}$

The first solution is 0.

Now, we solve the quadratic expression. We have to find two numbers whose product 20 and whose difference is 8. Those numbers are 10 and 2.

$x^2-8x-20=(x-10)(x+2)$ <h2>Hence, the given expressions expressed, as factors, is</h2> $2x^3-16x^2-40x=x(x-10)(x+2)$

3 0

1 year ago

Classify the number 5.923076923076

Temka [501]

Option C

5.923076923076 is real and rational number

<em><u>Solution:</u></em>

Given number is 5.923076923076

We have to classify the number

Let us first understand about irrational, real, whole, integer and rational numbers

<h3><u><em>Whole numbers: </em></u></h3>

Whole numbers are positive numbers, including zero, without any decimal or fractional parts. Negative numbers are not considered "whole numbers."

But the given number 5.923076923076 has decimal part

So it is not a whole number

<h3><u><em>Real numbers: </em></u></h3>

Positive or negative, large or small, whole numbers or decimal numbers are all Real Numbers. They are called "Real Numbers" because they are not Imaginary Numbers.

The given number 5.923076923076 has decimal part, so it is real number

<h3><u><em>Integers: </em></u></h3>

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043

Every integer can be expressed as a decimal, but most numbers that can be expressed as a decimal are not integers. If all the digits after the decimal point are zeroes, the number is an integer. If there are any non-zero digits after the decimal point, the number is not an integer.

So the given number 5.923076923076 has non zero digits after decimal point

Thus 5.923076923076 is not a integer

<h3><u><em>Irrational number:</em></u></h3>

An irrational number is real number that cannot be expressed as a ratio of two integers.

When an irrational number is expressed in decimal form, it goes on forever without repeating

But the given number 5.923076923076 has repeating digits after decimal point

So it is not a irrational number

<h3><em><u>Rational number:</u></em></h3>

A rational number is a number that can be expressed as a fraction (ratio) in the form $\frac{p}{q}$ where p and q are integers and q is not zero.

When a rational number fraction is divided to form a decimal value, it becomes a terminating or repeating decimal.

But the given number 5.923076923076 has repeating digits after decimal point

5.923076923076 ⇒ $5.923076 \underline{923076}$

So we can clearly observe that 923076 is repeating in decimal point

So the given number is rational number

<em><u>We can conclude that:</u></em>

5.923076923076 is real and rational number. Option C is correct

6 0

3 years ago