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3 years ago

In a class, half of students had gone to watch magic show. Twice the square root of

Mathematics

1 answer:

love history [14]3 years ago

3 0

Answer:

The total number of students is 36.

Step-by-step explanation:

You would get this answer because twice the square root of 6. 6x6 is 36. Hope this helps :)

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Find the exact value of cos(sin^-1(-5/13))

son4ous [18]

bearing in mind that the hypotenuse is never negative, since it's just a distance unit, so if an angle has a sine ratio of -(5/13) the negative must be the numerator, namely -5/13.

$\bf cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{then we can say that}~\hfill }{sin^{-1}\left( -\cfrac{5}{13} \right)\implies \theta }\qquad \qquad \stackrel{\textit{therefore then}~\hfill }{sin(\theta )=\cfrac{\stackrel{opposite}{-5}}{\stackrel{hypotenuse}{13}}}\impliedby \textit{let's find the \underline{adjacent}}$

$\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{13^2-(-5)^2}=a\implies \pm\sqrt{144}=a\implies \pm 12=a \\\\[-0.35em] ~\dotfill\\\\ cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right]\implies cos(\theta )=\cfrac{\stackrel{adjacent}{\pm 12}}{13}$

le's bear in mind that the sine is negative on both the III and IV Quadrants, so both angles are feasible for this sine and therefore, for the III Quadrant we'd have a negative cosine, and for the IV Quadrant we'd have a positive cosine.

8 0

3 years ago

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

ZanzabumX [31]

Answer:

shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.

Step-by-step explanation:

Given: The quadratic equation

We have to show the correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.

The standard form of quadratic equation is then the solution of quadratic equation using quadratic formula is given as

Consider the given quadratic equation

Comparing with general quadratic equation, we have

a = -3 , b = -2 , c = 6

Substitute in quadratic formula, we get,

Simplify, we have,

Thus, and x_{2}=\frac{2-\sqrt{76} }{-6}

Simplify, we get,

Thus, shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.

3 0

3 years ago

Tom has 12 reports to file. If each report takes an average of 45 minutes to file, how long will it take him to file 75% of them

Jobisdone [24]

Alright, lets get started.

One report takes to file an average of = 45 minutes

Means 12 reports takes to file time = 12 * 45 = 540 minutes

12 reports filing total time = 540 minutes

We are asked to find time to file 75 % of them.

Which means 75 % of 540

= 540 * 75/100

= 540 * 0.75

= 405 minutes

We could convert it into hrs dividing with 60.

405 / 60 = 6.75 hrs

Means it will take 6.75 hrs to file 75% of them: Answer

Hope it will help :)

8 0

3 years ago

Points that do not lie in the same plane are called________points

rodikova [14]

Answer:

non - collinear points

Step-by-step explanation:

points that dont lie on the same line

3 0

3 years ago

What is the volume of a rectangular prism with length 13 cm, height 7 cm, and width 5 cm? 455 cm³ 455 cm 455 cm²

Rama09 [41]

Answer:

$455 cm^3$

Step-by-step explanation:

A three dimensional configuration with its face shaped of rectangle is called a Cuboid. So, the prism is in the shape of a cuboid.

The volume of a cuboid = Length *Breadth*Height

$=13cm*5cm*7cm\\=455cm^3$

The volume of the cuboid shaped prism is $455 cm^3$

7 0

3 years ago