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3 years ago

What are rational numbers

1 answer:

6 0

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q

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What’s the length of AZ. If A is between Y and Z, Y A = 22, AZ = 16x, and Y Z = 166

VLD [36.1K]

Answer:

c) 144

Step-by-step explanation:

Since A is between Y and Z,

$YZ = YA + AZ$

$116 = 22 + 16x\\16x = 116 - 22\\16x = 144\\x = 9$

however, the question asks for $the length of AZ$ , not the value of x.

Thus,

$AZ = 16x$

$AZ = 16\\$ × $9$

$AZ = 144$

7 0

2 years ago

How can you solve an equation or inequality in one variable?

zimovet [89]

In order to solve an equation for a variable, we need to isolate that variable on one side of the equation (either left side or right side).

Following are some steps to solve equation/inequality in one variable:

1) Get rid constant number from on side by applying reverse operation of addition or subtraction.

2) Get rid variable terms from other side by applying reverse operation of addition or subtraction.

3) Combine like terms on both sides.

4) Get rid any coefficent ( a number in front of a variable) by dividing from both sides.

5) Finally you get a variable on one side and solution on other side.

4 0

3 years ago

Which of the following are vertical asymptotes of the function y = 2cot(3x) + 4? Check all that apply. A.x = pi/3 B.x = +/- pi/2

Kisachek [45]

Vertical asymptotes occur when the denominator of a rational is 0, whilst not zeroing out the numerator, making the rational, undefined, in this case

$\bf y=2cot(3x)+4\implies y=2\cdot \cfrac{cos(3x)}{sin(3x)}+4\impliedby \textit{if \underline{sin(3x)} turns to 0}\\\\
-------------------------------\\\\
\textit{let's check}
\\\\\\
A)\qquad \cfrac{cos(3x)}{sin\left( 3\frac{\pi }{3} \right)}\implies \cfrac{cos(3x)}{sin\left( \pi \right)}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined$

$\bf B)\qquad \cfrac{cos(3x)}{sin\left( 3\frac{\pm\pi }{2} \right)}\implies\cfrac{cos(3x)}{sin\left( \frac{\pm3\pi }{2} \right)}\implies \cfrac{cos(3x)}{\pm 1}\implies \pm cos(3x)
\\\\\\
C)\qquad \cfrac{cos(3x)}{sin\left( 3(2\pi )\right)}\implies \cfrac{cos(3x)}{sin(6\pi )}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined
\\\\\\
D)\qquad \cfrac{cos(3x)}{sin(3(0))}\implies \cfrac{cos(3x)}{sin(0)}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined$

6 0

3 years ago

Read 2 more answers

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, s

aivan3 [116]

Answer: The answer is 314.28 cm² (approx.).

Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.

We need to find the area 'A' of the circular cross-section of the pipe.

Given, diameter of the circular section is

$\textup{d}=20~\textup{cm}.$

So, the radius of the circular cross-section will be

$\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.$

Therefore, cross-sectional area of the pipe is

$\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.$

Thus, the answer is 314.28 cm² (approx.).

4 0

4 years ago

Are all rhombuses parallelograms?

ss7ja [257]

Answer:

Yes

Step-by-step explanation:

All rhombuses are parallelograms, but not all parallelograms are rhombuses. All squares are rhombuses, but not all rhombuses are squares. The opposite interior angles of rhombuses are congruent. Diagonals of a rhombus always bisect each other at right angles.

8 0

4 years ago

What are rational numbers​

What are rational numbers