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3 years ago

28. If x is an integer such that 200 < 3x3 < 400, find x.

Mathematics

1 answer:

Troyanec [42]3 years ago

6 0

Answer:

28. x = 5

29. x = 8

30. No solution.

Step-by-step explanation:

28. Given that 200 < 3x³ < 400

⇒ 66.67 < x³ < 133.33

⇒ 4.07 < x < 5.1

As x is an integer, so, x = 5 (Answer)

29. Given that 350 < 7x² < 450

⇒ 50 < x² < 64.28

⇒ 7.07 < x < 8.01 {As x is a positive integer}

So, x = 8 (Answer)

30. Given that x + 2 < 5717 < x + 3

⇒ x < 5715 and x > 5714

As x is integer, so there is no solution for this problem. (Answer)

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nlexa [21]

Answer:

The measurement of AB is 16.25 units.

Step-by-step explanation:

In right triangle ABC, ∠C is a right angle, m∠A = 52° , AC = 10.01, and AB = c.

We need to find the measurement of AB.

∠C is a right angle, it means AB is hypotenuse.

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

$\cos A=\dfrac{AC}{AB}$

$\cos (52^\circ)=\dfrac{10.01}{c}$

$0.616=\dfrac{10.01}{c}$

$c=\dfrac{10.01}{0.616}$

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3 years ago

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Bumek [7]

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<h3><u>-2x^2(x - 3) is what we're left with, and is the fully factored form.</u></h3>

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3 years ago

Suppose S and T are mutually exclusive events. Find P(S or T) if P(S) = 8/9 and P(T) = 1/10.

blsea [12.9K]

Answer:

$\textbf{$P(S \cap T) = \frac{89}{90}$ }\\$

Step-by-step explanation:

$\textup{Mutually events are events that cannot occur at the same time.}\\\textup{When you toss a coin you get only $head$ or only $tail$ but never both.}\\ \textup{In mathematical terms $P(A) \cup P(B) = 0$, where $A$ and $B$ are mutually exclusive events. }\\\textup{We know the formula:}\\$$ P(A \cup B) = P(A) + P(B) - P(A \cup B) $$\\\textup{When $A$ and $B$ are mutually exclusive, it will simply be:}\\$$ P(A \cup B) = P(A) + P(B) $$\\\textup{Now given:}\\ $P(S) = 8/9$ , $P(T) = 1/10$\\$

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3 years ago

64 + {40 ÷(4 - 7 + 8)} - 10 solve this clearly

slega [8]

Answer:

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Step-by-step explanation:

<u>Step 1: Define expression</u>

64 + [40 ÷ (4 - 7 + 8)] - 10

<u>Step 2: Evaluate</u>

Brackets - Parenthesis - Subtract: 64 + [40 ÷ (-3 + 8)] - 10
Brackets - Parenthesis - Add: 64 + [40 ÷ 5] - 10
Brackets - Divide: 64 + 8 - 10
Add: 72 - 10
Subtract: 62

And we have our final answer!

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3 years ago

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vivado [14]

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On the given interval, ...
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3 years ago