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Nataly [62]
3 years ago
10

Q-The general solution of inequality cos 2 x≤- sin x is

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I

Step-by-step explanation:

1−2sin2  x≤−sin x    ⇒    (2sin x+1)(sin x−1)≥0

sin x≤−1/2    or    sin x≥1

−5π/6+2nπ≤x≤−π/6+2nπ    or    , n ϵ I x=(4n+1)π/2, n ϵ I⇒    -5π6+2nπ≤x≤-π6+2nπ    or    , n ϵ I x=4n+1π2, n ϵ I     (as sin x = 1 is valid only)

In general⇒    In general    x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I

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Can someone help me and show how to write the perimeter equation to find x.
disa [49]

Answer:

a) 10x + 8 = 21

b) x = 1.3

Step-by-step explanation:

The line of symmetry is a vertical line that passes through point C.

That makes sides BC and CD congruent, and sides AB and ED congruent.

perimeter = AB + BC + CD + DE + EA

perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8

perimeter = 21

a) Equation:

10x + 8 = 21

b)

10x + 8 = 21

10x = 13

x = 1.3

7 0
3 years ago
A tree with a height of 4 ft casts a shadow 15ft long on the ground how tall is another tree that cast a shadow which is 20ft lo
wariber [46]

Height of another tree that cast a shadow which is 20ft long is 5 feet approximately

<h3><u>Solution:</u></h3>

Given that tree with a height of 4 ft casts a shadow 15ft long on the ground

Another tree that cast a shadow which is 20ft long

<em><u>To find: height of another tree</u></em>

We can solve this by setting up a ratio comparing the height of the tree to the height of the another tree and shadow of the tree to the shadow of the another tree

\frac{\text {height of tree}}{\text {length of shadow}}

Let us assume,

Height of tree = H_t = 4 feet

Length of shadow of tree = L_t = 15 feet

Height of another tree = H_a

Length of shadow of another tree = L_a = 20 feet

Set up a proportion comparing the height of each object to the length of the shadow,

\frac{\text {height of tree}}{\text {length of shadow of tree}}=\frac{\text { height of another tree }}{\text { length of shadow of another tree }}

\frac{H_{t}}{L_{t}}=\frac{H_{a}}{L_{a}}

Substituting the values we get,

\frac{4}{15} = \frac{H_a}{20}\\\\H_a = \frac{4}{15} \times 20\\\\H_a = 5.33

So the height of another tree is 5 feet approximately

8 0
3 years ago
If f(x)=3x-2 and g(x)=2x+1,find (f-g)(x) <br><br> A. x - 3<br> B. 5x - 3<br> C. 3 - x<br> D. 5x - 1
Nady [450]

Answer:

A

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x - 2 - (2x + 1)

= 3x - 2 - 2x - 1 ← collect like terms

= x - 3 → A

6 0
3 years ago
Read 2 more answers
Solve: 2.5k+47.4=81.9
belka [17]

Answer:

k=13.8

Step-by-step explanation:

Given function:

  • 2.5k+47.4=81.9
  • to find k..

<u><em>Subtract final and middle value:</em></u>

  • 81.9-47.4= 34.5

<em><u>Divide by 2.5:</u></em>

  • 34.5*2.5=13.8

Therefore, k=13.8..

8 0
3 years ago
Heeeeeeeeeeeeeeeeeeeeeeeeelp
zlopas [31]

Answer:

C &A

Step-by-step explanation:

Just by analyzing the problem you can match up the answers

Solve the problem in your head and the closest answer to that is the answer

5 0
3 years ago
Read 2 more answers
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