what is the approximate value of x?

Answer:

See below.

Step-by-step explanation:

We have:

[tex]\frac{\sqrt3}{\sin(\theta)}=2[/tex]

And we want to find two different angles between 0 and 180 that satisfy this equation.

First, let's get our sine out of the denominator. Notice that this is the same as:

[tex]\frac{\sqrt3}{\sin(\theta)}=\frac{2}{1}[/tex]

Cross-multiply:

[tex]2\sin(\theta)=\sqrt{3}[/tex]

Divide both sides by 2:

[tex]\sin(\theta)=\frac{\sqrt{3}}{2}[/tex]

Here you go! I'll have the answer for you if you scroll down, so check it when you're ready!

#2 is correct. However, double check #3. The answer's down there too... :)

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Answer for 1)

We have:

[tex]\sin(\theta)=\sqrt{3}/2[/tex]

So, at what points between 0 and 180 does sine equal √3/2?

If we refer to the unit circle, we can see that this happens twice: at 60.

Thus, the second time it occurs will be at 180-60 or 120.

So:

[tex]\theta=60\textdegree\text{ or } 120\textdegree[/tex]

Answer for 3)

So you are correct for the first three. So:

[tex]\sin(54)=t[/tex]

However, sine stays positive. So, our angle must be between 0 and 180.

So, instead of 180+54, it should be 180-54, giving us:

[tex]\sin(54)=\sin(126)=t[/tex]

Answer:

19.

Step-by-step explanation:

Answer:

The required number  = 19

Step-by-step explanation:

307 - 3 = 304

330 - 7 = 323

Find GCF of 304 & 323

304 =  2* 2 *2 * 2 * 19

323 = 17 *19

HCF = 19

The required number  = 19

When you divide 307 by  19, you will get an remainder 3

When you divide 330 by  19, you will get an remainder 7

Answer:

(10, -3)

Step-by-step explanation:

When translating left or right, the x intercept will be altered. When translating up or down, the y intercept will be altered.

Answer:

the bottom left one error is on step 3

Step-by-step explanation:

Answer:

poines

Step-by-step explanation:

Answer:

The anwser is 10

Step-by-step explanation:

a negitive times a negitive equals a positive

Answer:

10

Step-by-step explanation:

I hope this helps!

Answer:

all values of x makes the equation true

Step-by-step explanation:

-5(-8x-8)-4 = 5(5+8x)+11

40x + 40 - 4 = 25 + 40x + 11

40x + 36 = 40x + 36

all values of x makes the equation true

Answer:

Cost = $45.65 - $0.25L

after 42 losses:

45.65 - 0.25(42) = $35.15

Answer:

n+11=15

  -11 -11

n=4

Step-by-step explanation:

subtract 11 from both sides

Answer:

-11 -11

n=4

Step-by-step explanation:

subtract on both sides

-11

you get left with n=4

Answer:

19

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

3.8

Step-by-step explanation:

True, if you use the vertical line test there is never two points on the same vertical line.

Answer:

h=A/b

Step-by-step explanation:

Think of putting number in the place of the letter, for example

A is 4

b is 2

h is 2

4=2 x 2        then plug the numbers in the right spot

2=4/2           then see what can be rearranged or what is left to make the              

                     equation true

Answer:

318.33...

Step-by-step explanation:

[48(60)-15]/9

[2880-15]/9

2865/9

318.33

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

955/3

Decimal Form:

318.¯3(repeating)

Mixed Number Form:

318 1/3

Hope this helps :)

Answer:

what?

Step-by-step explanation:

3 wait no 2 yeah wait s#!t it's 5 ahh actually I'm not to sure sorry

Have a nice day

Answer: x=64°

Step-by-step explanation:

According to the diagram, the two intersecting lines are perpendicular. That means each part is 90°. Since the left side is labelled to be 180°, we know that the sum of the right side is also 180°.

26+x+90=180            [combine like terms]

116+x=180                  [subtract both sides by 116]      

x=64°

Now, we know that x=64°.

On the other hand, we can see that 26+x=90. We can also use that to solve for x.

26+x=90                    [subtract both sides by 26]

x=64°

Answer:

1. linear pair

2.  Substitution Property of Equality

3. Subtraction Property of Equality

4.  <1  ≅ <3

Step-by-step explanation:

1. linear pair

A linear pair is a pair of angles that  that are adjacent and add to 180 degrees

linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary.

2.  Substitution Property of Equality

<1 + <2 = 180  and <2+ <3 = 180

<1 + <2 = <2 + <3

3. Subtraction Property of Equality

<1 + <2  - <2= <2 - <2+ <3

<1 = <3

4.  <1  ≅ <3

Answer:

the answer is y= -4

Step-by-step explanation:

in this you basically just isolate the variable which means that you get rid off all the numbers that are applied to the varible by preforming the opposite opperation. In this case if you subtract 2 from both sides, the 2 on the left gets cancelled out and the -2 on the right turns into -4, so your equation would look like y=-4

Answer:

m (Slope) = 3

Step-by-step explanation:

Slope formula:

m = (y2 - y1) / (x2 - x1)

= (24 - 3) / (9 -2)

= 21 / 7

=3

Answer:

b = (4/6) - a/2

Step-by-step explanation:

6b + 3a = 4

6b = 4 - 3a

b. = (4 - 3a)/6

b. = (4/6) - a/2

The value of b is (4 - 3a)/6, or the equation in terms of a is (4 - 3a)/6 after making the subject as b.

It is defined as the combination of constants and variables with mathematical operators.

In the provided expression, variable and constant are there

It is given that:

The equation in a and b, where a and b are the variables:

3a + 6b = 4

Here the indicated variable is b.

To find the value of b in terms of a make the subject as b:

Subtract 3a on both the sides in the equation 3a + 6b = 4:

The equation becomes:

3a + 6b -3a = 4 - 3a

6b = 4 - 3a

Divide by 6 on both sides:

The equation becomes:

6b/6 = (4 - 3a)/6

b = (4 - 3a)/6

Thus, the value of b is (4 - 3a)/6, or the equation in terms of a is (4 - 3a)/6 after making the subject as b.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

1. The radius is 90 ft.

2. 31.4 cm.

Step-by-step explanation:

1. The way to find the radius with just the diameter, is to divide by two.

2. When finding circumference, you need to multiply the diameter by 3.14 (pi), making it 10 x 3.14.

Answer:

The radius is 90

Step-by-step explanation:

the line in the middle of the circle is the diameter so in order to find the radius you need to find half of the diameter. Half of the diameter (180) is 90 90 the radius is 90.

Answer:

12:30, 9:15

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3/8 = 0.375

0.375(24) = 9

Answer:

9

Step-by-step explanation:

3/8=.375

.375×24=9 blueberry

Answer:

A 26 feet below

Step-by-step explanation:

3,000 - 988 + 748 - 885 + 1,099 = 2,974

Answer:

$65.33

Step-by-step explanation:

Answer:

$65

Step-by-step explanation:

9/10 = 58.50/x

9/10 = 58.50/65

Step-by-step explanation:

5(-7)-2(-7+3)^2

=-35 - 2(-4)^2

=-35 - 2x16

=-35 - 32

=-67

Am i right? :o

Answer:  

your answer should be 2 and 1/4ths

Step-by-step explanation

2 and 1/4ths bc 5 is more than 4 and there is already a whole so there for there are going to be 2 wholes then there are still parts left over and its out of 4 and there is only one left over so there for it would be 1/4ths.

Answer:

1. Slope: -0.75x or -3/4x

Y-intercept: 7

Equation: -0.75x+7 or -3/4x-7

Remember -0.75 and -3/4 are the same!

2. Equation: 0.5x-3 or 1/2x-3

I used slope intercept form to solve. (y2-y1 over x2-x1) If you need more help comment below or send me a link!

Answer: (1) -3/4   (2) 7     (3) y = (-3/4)x + 7     (4) 1/2

Step-by-step explanation:

1) COUNT the number of spaces from one point to the other point.

   from (0, 7) to (4, 4) is: down 3 and right 4   →   m = -3/4

2) the y-intercept is where the line crosses the y-axis (when x = 0).

   The line crosses the y-axis at (0, 7)    →   b = 7    

3) Slope-Intercept form is y = mx + b

   m = -3/4  and b = 7     →      y = (-3/4)x + 7

4)  COUNT the number of spaces from one point to the other point.

 from (-2, -4) to (2, -2) is: up 2 and right 4   →   m = 2/4  = 1/2 when simplified