[tex] \sqrt{3} \sin(x) - \cos(x) = \sqrt{2} ( < 0 \leqslant x \leqslant 360[/tex]
solve it​

Answer:

49

Step-by-step explanation:

Let the three numbers be a1, a2, a3

Let the number to be added to form a geometric progression = x

a1 = 1 + x ; a2 = 11 + x ; a3 = 23 + x

For a geometric progression :

a2 = a1 * r

a2 = (1+x)r

11+x = (1+x)r - - (1)

r = (11+x) / (1+x) ---(1)

a3 = a2 * r

a3 = (11+x)r

23+x = (11+x)r - - -

r = (23+x) / (11+x) - - (2)

Equate (1) and (2)

(11+x) / (1+x) = (23+x) / (11+x)

(11+x) * (11+x) = (23+x) * (1+x)

121 + 22x + x² = 23 + 24x + x²

121 + 22x + x² - x² - 24x - 23 = 0

98 - 2x = 0

-2x = - 98

x = 98 / 2

x = 49

Answer:

64

Step-by-step explanation:

Hope this helps! :)

Answer:

64 is correct hope it helped have a good day mate

Answer:

Wendy needs to run 3 laps to run 3 miles.

Hope this helps. :)

Answer:

∠ 4 = 117°

Step-by-step explanation:

∠ 1 and ∠ 4 are alternate angles and supplementary, sum to 180°, then

∠ 4 = 180° - 63° = 117°

Answer: The answer is 117

Step-by-step explanation: I just took the Quiz hehe lol

Answer:

x = 5

Explanation:

Subtracting 2 from both sides of the equation

17 − 2 = 3x +2 − 2

15=3x

Dividing both sides by 3

15/3 = 3x/3

5 = x

Answer:

x=5

Step-by-step explanation:

Answer:

Vertical Angles

Step-by-step explanation:

They are vertical angles because they are directly across from each other

Answer:

Step-by-step explanation:

1/2(4x - 16) = 14

2x - 8 = 14             {add 8 to both sides}

 2x = 22               {divide both sides by 2}

   x = 11

Answer:

Step-by-step explanation:

Answer:

700.4mL is the answer

Step-by-step explanation:

Answer:

0.5 < x < 15.5

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 15.5

Answer:

You would need to sell 28 bracelets.

Step-by-step explanation:

28 x $3.50 = $85.48

27 bracelets is too little, 27 x $3.50 = $82.35

So it's 28

Answer:

What is it?

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

3x - 5 = 16

3x = 16 + 5

3x = 21

x = 21/3

x = 7

Answer:

14

Step-by-step explanation:

[tex]147 \times 4 \div 42 = 14[/tex]

It would take 14 days  to build a similar house with 42 workers

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  the number of days required to build is inversely proportional to with the number of workers.

One house was built in 147 days by 4 workers.

So,

147 x 4 = 588

Now the days to build a similar house with 42 workers

588/ 42 = 14

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Answer:

2x+11=25

7

Step-by-step explanation:

I think of a number (x) and double it (multiply it by 2) and then add 11

put this all together and get

2x+11=25

Solve for x

2x=14

x=7

Answer:

2x+11=25

Step-by-step explanation:

x=7

Answer: The climbers overall change in elevation was -60 meters

Hope this helps. Let me know if you need anything else.

Answer: 500%

Step-by-step explanation:

125 / 25 = 5 = 500%

We can check this answer by doing 5×25 = 125 so our answer is correct.

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

892.4

May Nilbin Be With You

Answer:

9+20t

Step-by-step explanation:

Look at the terms and see which has t and which is a number when you see like terms, add them or subtract them together to get like terms.

Answer:

2097152 is the answer to your question

Answer:

2,097,152

Step-by-step explanation:

8 to the 5th power is 32,768 and 2 to the 2nd is 64

We multiply those two numbers, and we get 2,097,152

Hope this is right, and helps! Please mark Brainliest!!

cap

Step-by-step explanation: gxetuciv

Answer:

47 2/9

hope this help :)

Answer:

47 2/9

Step-by-step explanation:

( 14 + 25 + 7) + ( 4/9 + 1/6 + 11/18)

46 + 11/9

46 + 1 2/9

47 2/9

Answer:

66.66666% increase (6 goes on forever, can be rounded to 66.67%)

Step-by-step explanation:

The change is 125 - 75 = 50, so it increased by 50/75 = 2/3 = 0.666666... = 66.6666%

Answer:

Step-by-step explanation:

They are testing whether you remember the basic 30,60,90 degree triangle side relationship. The ratio of sides for this triangle are 1 opposite the 30 degree angle, square root of three opposite the 60 degree angle and a hypotenuse of 2 opposite the 90 degree angle.

x/2=2/1

x=4/1=4

bottom answer choice

x/4=3^(1/2)/1

x=4(3^(1/2))

third answer choice

Answer:

X is equal to 5

Step-by-step explanation:

The tangents of a circle is always equal, which means 2x + 7 = 5x - 8. After you solve this equation, you will get that X = 5.

Answer:

vvhfdefg

is c60