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3 years ago

If the square of a number is less than 1, does it follow that the number must be less than 1

Mathematics

1 answer:

sergeinik [125]3 years ago

6 0

I think so, because the square of a number ABOVE 1 cannot be less than one.

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Select all the correct expressions in the table which expressions are equivalent to the given complex number 45+2i

aksik [14]

Answer:

its gonna be the second one down on the left!! i can give an explanation if ur having trouble

Step-by-step explanation:

6 0

3 years ago

What is the common factor of each term in the expression 2b + 5b?”

stellarik [79]

The common factor is b since they both share it.
Hope this helps

7 0

3 years ago

NEED HELP ASAP!!!!!!!!!!!

zhenek [66]

The equation $x=tan^{-1}(\frac{12}{5})$ can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

$sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}$
$cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}$
$tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}$

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ $sin(x)=\frac{BC}{AB}$

∴ $sin(x)=\frac{12}{13}$

∴ $x=sin^{-1}(\frac{12}{13})$

∵ $cos(x)=\frac{AC}{AB}$

∴ $cos(x)=\frac{5}{13}$

∴ $x=cos^{-1}(\frac{5}{13})$

∵ $tan(x)=\frac{BC}{AC}$

∴ $tan(x)=\frac{12}{5}$

∴ $x=tan^{-1}(\frac{12}{5})$

The equation $x=tan^{-1}(\frac{12}{5})$ can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

30 pts + BRAINLIEST

ivanzaharov [21]

Answer:

Number of permutations = 5040

Step-by-step explanation:

We are given the word 'INNOVATIVE', that has total 10 letters.

Now, we are asked to form words using exactly 4 letters at a time i.e. out of 10 letters we are using 4.

Therefore, the number of permutations that can be formed using 4 letters are = P(10,4)

i.e. $10_{P_{4} }$

= $\frac{10!}{(10-4)!}$

= $\frac{10!}{6!}$

= $\frac{10*9*8*7*6!}{6!}$

= 10*9*8*7

= 5040

8 0

3 years ago

Read 2 more answers

For a concert, there are $50 reserved seat tickets and $35 general admission tickets. there are 2000 reserved seats available, a

nevsk [136]

The number of seats sold cannot be negative, so you have

... x ≥ 0, y ≥ 0

The limits on numbers of seats must be observed, so you have

... y ≤ 2000

... x + y ≤ 3000

And the revenue constraint must be met:

... 35x + 50y ≥ 90,000

Together, these inequalties are ...

{x ≥ 0, y ≥ 0, y ≤ 2000, x + y ≤ 3000, 35x + 50y ≥ 90,000}

3 0

3 years ago