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Alex777 [14]
2 years ago
10

A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than the length of the lar

ger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is
meters and the total length of the carpet is
meters.
Mathematics
1 answer:
vampirchik [111]2 years ago
4 0

Answer:

y-step expl

Step-by-step explanation:

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Hi please help me thanksss<br>pls provide workings too thanks :)​
anygoal [31]

Step-by-step explanation:

Search for questions & chapters

Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

Bookmark

Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

verified

Verified by Toppr

We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

4 0
2 years ago
What is -15x=0 solution
cricket20 [7]
Here is the method for solving that equation:

Step #1:  Write the equation:

             -15x = 0

Step #2:  Divide each side of the equation by -15 :

                 <u>x = 0</u>
3 0
3 years ago
Morgan, Dakota and Taylor showed their work solving the equation 7x+5x+1=73. Identify the student with the invalid first step an
antoniya [11.8K]

Answer:

Step-by-step explanation:

Given the equation solved by Morgan, Dakota and Taylor expressed as 7x+5x+1=73, to get the value of x, the valid steps are as shown;

7x+5x+1=73

take the sum of 7x and 5x

12x+ 1 = 73

subtract 1 from both sides

12x+1-1 = 73-1

12x = 72

Divide both sides by 12

12x/12 = 72/12

x = 6

Based on the calculation above, the students with invalid first step is Dakota.

<em>Dakota added 5x with 1 to get 6x which is an invalid step because 1 is not attached to a variable x. A function cannot be added to a constant hence making his first step invalid.</em>

8 0
3 years ago
Read 2 more answers
A new park was designed to contain two circular gardens. Garden A has a diameter of 50 meters and Garden B has a diameter of 70
rjkz [21]

Answer:

about 78.539 meters. smallest diameter = 50. plug that into the equation C = πd

Step-by-step explanation:

8 0
2 years ago
Algebraic Reasoning ! Plz help!
AlexFokin [52]

Answer:cant see the bottom, post again with full pic

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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