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kodGreya [7K]
3 years ago
15

Cos x + square root 3 = -cos x

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

\cos x + \sqrt{3} = -\cos x\\2\cos x = -\sqrt{3}\\\cos x =-\frac{\sqrt{3}}{2}\\x=\frac{\pi}{6}

(the other solutions can be obtained by adding 2pi as many times as you want)

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Derivative of y=(3x+5)^3​
UkoKoshka [18]

\\ \sf\longmapsto \dfrac{dy}{dt}

\\ \sf\longmapsto \dfrac{d}{dt}(3x+5)^3

\\ \sf\longmapsto \{3(3x+5)\}^2

\\ \sf\longmapsto (9x+15)^2

\\ \sf\longmapsto 9x^2+2(9x)(15)+(15)^2

\\ \sf\longmapsto 81x^2+270x+225

6 0
2 years ago
Read 2 more answers
Find the diagonal of a television screen 30 inches wide by 35 inches tall.
marin [14]

Answer:

46.1 in

Step-by-step explanation:

Given data

Width= 30in

Height= 35in

To find the diagonal, we have to use the Pythagoras theorem

z^2= x^2+y^2

z^2= 30^2+ 35^2

z^2= 900+1225

z^2= 2125

z= √2125

z= 46.09

Hence the diagonal of the TV is 46.1 in

4 0
3 years ago
A bookstore had 90 copies of a magazine. Yesterday, it sold 1/6 of them. Today, it sold 1/5 of what remained. How many copies do
MA_775_DIABLO [31]

Answer:

60 copies

Step-by-step explanation:

first you take 1/6th of the original 90 copies which is 15 and subtract that from the 90, you are left with 75 copies which is how many they had left at the end of yesterday. then you take 1/5th of the 75 copies that are left which is also 15 and you subtract that from 75 and you get 60. that's why at the end of today there are 60 copies left.

6 0
3 years ago
All prisms are Platonic solids.<br> A. True<br> B. False
dem82 [27]

Answer: False.

Step-by-step explanation: A Platonic solid is a convex polyhedron that is a regular polygon.

5 0
3 years ago
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20PTS Question On Pic Thx
harina [27]

Answer:

  (a)  $3800

  (b)  (a) -- April to May

Step-by-step explanation:

<h3>(a)</h3>

The least amount is found at the lowest point on the graph. That point is in May. It is on the line between 3700 and 3900, so the amount is $3800.

The least donation amount is a month is $3800.

__

<h3>(b)</h3>

The greatest month-to-month decrease is found where the line on the graph has the steepest negative slope. There are two segments with negative slope:

  • April - May (decrease of $500)
  • June - July (decrease of $100)

The decrease from April to May is by far the largest of these two decreases.

The greatest decrease occurred April to May.

6 0
2 years ago
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