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Mathematics

1 answer:

marysya [2.9K]3 years ago

6 0

Answer:

the first ones is the first one :)

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I don’t understand, help please ?!

GREYUIT [131]

I think you multiply or add

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3 years ago

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Find the x-values that are solutions of the equation 5cot^2x-15=0

julia-pushkina [17]

First solve for the trig function 'cot'
$cot^2 x = \frac{15}{5} = 3$

Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

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3 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch radius A = sq. in.

katovenus [111]

$\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=length~of\\
\qquad a~side\\
-------\\
s=6
\end{cases}\implies A=\cfrac{6^2\sqrt{3}}{4}\implies A=\cfrac{36\sqrt{3}}{4}
\\\\\\
A=9\sqrt{3}$

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3 years ago

10090 7 Each railroad car in a train set is 6 inches in length. The railroad track is 5 feet long. How many railroad cars can it

Orlov [11]

Step-by-step explanation:
Given,
Length of railroad car = 6 inches
The length of railroad track = 5 feet
We will convert this length into inches.
1 feet = 12 inches
5 feet = 12*5 = 60 inches
Let,
x be the number of cars.
Number of cars * Length of each car = Length of track

Dividing both sides by 6

10 cars can fit on railroad track.

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3 years ago

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Why is 2 × 3/4 less than 2

Stella [2.4K]

Answer:

becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2

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3 years ago

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