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3 years ago

9

The seventh grade boys at colonial Christian school removed 1/3 of the 558 chairs in the auditorium how many chairs did they rem

ove from the auditorium

1 answer:

vekshin13 years ago

3 0

$558 * 1/3 = 186$
186 chairs

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Need answer with step I will give ve you 35 points.After 12 years Kishor will be 3 times as old as he was 4 years ago . Find the

tatyana61 [14]

Answer:

<u>12 years</u>

Step-by-step explanation:

Let Kishor's present age be denoted by x.

According to the question :

He will 3 times as old as he was 4 years ago after 12 years

Therefore, the equation is :

x + 12 = 3(x - 4)

Solving :

x + 12 = 3x - 12
3x - x = 12 + 12
2x = 24
x = <u>12 years</u>

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Hence, Kishor's present age is <u>12 years</u>.

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saul85 [17]

Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

30 m

Step-by-step explanation:

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3 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

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2 years ago

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xenn [34]

Answer:

Step-by-step explanation:

sin 30+tan²(60)+sec²(45)

=1/2+ (√3)^2+(√2)²

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=5.5

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2 years ago