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3 years ago

How is a rational number that is not an integer different from a rational number that is an integer?

Mathematics

1 answer:

wolverine [178]3 years ago

6 0

A rational number that is not a integer can be a demical and a rational that is a integer can not be a demical and also can be a whole number and it's opposite.

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In a right triangle, CosA=0.352 and SinA=0.936 What is the approximate value of tanA?

mr_godi [17]

$\tan A=\frac{\sin A}{\cos A}$

Proof: $\sin\div\cos=\frac{o}h\div\frac{a}h=\frac{o}h\times\frac{h}a=\frac{oh}{ha}=\frac{o}a=\tan$

$\cos A=0.352,\ \sin A=0.936$

$\tan A=\frac{0.936}{0.352}$

$\boxed{\tan A=2.65\overline{90}}$ <em>(round as needed)</em>

6 0

3 years ago

Read 2 more answers

Please help me with these. These are so hard.<br><br>

LuckyWell [14K]

$\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{a^6+b^6}\implies a^{2\cdot 3}+b^{2\cdot 3}\implies (a^2)^3+(b^2)^3 \\[2em] [a^2+b^2] [(a^2)^2-a^2b^2+(b^2)^2]\implies \boxed{(a^2+b^2)(a^4-a^2b^2+b^4)}$

about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

4 0

3 years ago

If AB=48 and BC=22, then AC=?

alexandr1967 [171]

If A, B and C are collinear, then

1) if B is between A and C:

AC = AB + BC

AC = 48 + 22 = 70

2) if C is between A and B:

AB = AC + BC

48 = AC + 22 |-22

AC = 26

3) if A is between B and C:

BC = AB + AC

22 = 48 + AC |-48

AC = - 26 < 0 FALSE

Answer:

if B is between A and C, then AC = 70

if C is between A and B, then AC = 26

4 0

3 years ago

Read 2 more answers

PLZ HELP

maria [59]

Answer:

Step-by-step explanation:

Following changes will be there when the figure is transformed by the given rules.

1). Rule for transformation has been given as,

(x, y) → (x, -y)

Reflection across x axis.

2). (x, y) → (-x, -y)

Rotation of 180° about the origin.

3). (x, y) → (x - 4, y)

Shifted 4 units left horizontally.

4). (x, y) → (x, y + 3)

Shifted vertically up by 3 units

5). (x, y) → (x - 1, y + 4)

Shifted 1 units left horizontally and 4 units up vertically.

6). (x, y) → (4x, 4y)

Dilated by 4 units.

5 0

3 years ago

The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x

scoray [572]

Answer:

Step-by-step explanation:

6s^2=s^3

divide by s^2 on both sides to get 6=s. There is your answer

4 0

3 years ago