Given that f ( x ) = 3 x − 2 and g ( x ) = 2 x , evaluate f ( g ( − 1 ) )

Answer:

66.4°

Step-by-step explanation:

To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.

Given that: ∠X = 90° (right angle), XY = 6 cm, YZ = 15 cm. Hence:

[tex]\frac{sin(Z)}{XY}=\frac{sin(X)}{YZ}\\\\Substituting:\\\\\frac{sin(Z)}{6} =\frac{sin(90)}{15} \\\\sin(Z)=\frac{sin(90)*6}{15}\\\\sin(Z)=0.4\\\\Z=sin^{-1}(0.4)\\\\Z=23.6^o[/tex]

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

90 + ∠Y + 23.6 = 180

113.6 + ∠Y = 180

∠Y = 180 - 113.6

∠Y = 66.4°

∠Y = ∠XYZ = 66.4°

Answer:

do u need to isolate the variables?

Step-by-step explanation:

Answer:

yes

Step-by-step explanation: yes

Answer:

3.30

Step-by-step explanation:

Answer:

$28

Step-by-step explanation:

Answer:

x = 34

Step-by-step explanation:

∠ PSR and ∠ TSU are vertical angles and congruent, then

∠ PSR = 4x, thus ∠ PSQ = x

The exterior angle of a triangle is equal to the 2 opposite interior angles.

∠ SQR is an exterior angle of Δ PQS , thus

x + x = 68

2x = 68 ( divide both sides by 2 )

x = 34

Answer:

X = 34°

Step-by-step explanation:

In order to solve this question we will need to know the following, when two lines intersect the opposite angles at that point are equal to each other, that the sum of all angles of a triangle is 180 degrees, and that the angle of a straight line is equal to 180 degrees.

Frist we will have to notice that ∠TSU is equal to ∠PSR, because they are opposite to each other (If you would like to understand this more you can research on a topic call "vertical angels"). Now it is important to understand the following.

∠PSR  = ∠PSQ + QSR

Since ∠PSR = ∠TSU = 4x, ∠QSR = 3x ⇒

⇒ ∠PSR  = ∠PSQ + QSR

   4x = ∠PSQ + 3x

   4x - 3x = ∠PSQ

   x = ∠PSQ

Now, since the sum of all angles in a triangle is equal to 180 we can now say the following:

∠QPS + ∠PSQ + ∠PQS = 180°

In order to find out what PQS is equal to we need to use our knowledge about the angel of a strait line (the angel of a strait line is equal to 180°).

So now we can say the following:

180° = ∠PQS + SQR

∠PQS = 180° - ∠SQR

Since we know that ∠SQR = 68° ⇒

⇒∠PQS = 180° - ∠SQR

  ∠PQS = 180° - 68°

  ∠PQS = 112°

Since ∠QPS = x, PSQ = x, and ∠PQS = 112° ⇒

⇒ ∠QPS + ∠PSQ + ∠PQS = 180°

   x + x + 112° = 180°

  2x = 180° - 112°

  2x = 68°

  x = 34°

Answer:

D: slinky spring

Step-by-step explanation:

Answer:

I am going to say 6 , please let me know if I am wrong :)

Answer:

angle one is 62 degrees

Step-by-step explanation:

3x+2+5x+18=180

x=20

5*20+18=118

180-118=62

Answer:

xy9

Step-by-step explanation:

Answer:

x=-31/4

Step-by-step explanation:

Cross multiply and bring 3 to the opposite side.

3(3x+8) =5x-7

9x+24=5x-7

Bring all the x to one side and the numbers to the other

9x-5x=-7-24

4x=-31

x=-31/4

Answer:

ian just wasted the last bit of coffee.

Step-by-step explanation:

Answer:

where's the question

Step-by-step explanation:

Answer: I believe the answer is b.

Answer:

I'm pretty sure it's true.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

So the formula for slope is y = mx + b

Here is what it looks like so far: y = -5x + 3

In that equation, -5 is m (slope)

and 3 is b (y-intercept)

So the answer is C

Answer:

1000

512 is ans ...............

Step-by-step explanation:

1/sin10-√3/cos10

= (cos10 - √3sin10)/cos10sin10

multiplying 1/2 in denominator and numerator

= {(cos10/2) - (√3sin10/2)}/(cos10sin10/2)

= (cos60cos10 - sin60sin10)/(cos10sin10/2)

= cos(60 + 10)/(cos10sin10/2)

= cos70/(cos10sin10/2)

= 2cos70/cos10sin10

multiplying 2 on numerator and denominator

= 4cos70/2sin10cos10

=4cos70/sin20

=4cos70/cos70

= 4  proved

Answer: 8.64

Step-by-step explanation:

3.6 * 4.8 = 17.28

17.82/2 = 8.64

Answer:

A. 8.64 ft²

Step-by-step explanation:

The equation for the area of a triangle is A = 1/2bh

b is base and in this case 4.8

h is height and in this case 3.6

A = 1/2 (3.6)(4.8)

A = 8.64

Hope this helped :)

Answer:

C the 3 one is the answer

Step-by-step explanation:

The given equations are :

y = x + 3 .....(1)

y = 2x – 5 ......(2)

The table for equation (1) is :

x = 0, 1, 2, 8

y = 3, 4, 5, 11

The table for equation (2) is :

x = 0, 1 , 2, 8

y = -5, -3, -1, 11

From the graph we can see that,

The x-value is = 8

The y-value = 11

The solution is = (8,11).

The x-value is = 8, the y-value = 11 and the solution is = (8,11)

The equations are given as:

y = x + 3

y = 2x - 5

Next, we plot the graph of the equations

From the graph of the equations, we have:

(x,y) = (8, 11)

Hence, the x-value is = 8 and the y-value = 11

So, the solution is = (8,11)

Read more about graphed equations at:

https://brainly.com/question/14323743

9514 1404 393

Answer:

  a little more than 27

Step-by-step explanation:

Estimates are generally made by approximating the numbers using 1 or 2 significant digits. The idea is to do as much mental arithmetic as possible, not involving a calculator. Here, the estimate can be based on rounding the values like this:

  √9.7 +3.88 × 6.21 ≈ √9 +4 × 6 = 3 +24 = 27 . . . estimated expression value

__

Another aspect of estimating is determining the approximate error involved.

We know that √9.7 will be more than √9 = 3, and less than √10 ≈ 3.16*. Its real value may be about 3.1.

3.88 is less than 4 by 0.12, or 3%. 6.21 is greater than 6 by .21, or 3.5%. So, the estimated product of 24 will be on the order of -3% +3.5% = 0.5% too low. Of course 1% of 24 is 0.24, so 1/2% will be about 0.12. Now, we are able to estimate that our estimate is about 0.2 units too low. (The actual value of the expression is an irrational number that rounds to about 27.2093.)

_____

* The value of 3.16 for √10 is not so hard to remember, because it is just slightly more than π ≈ 3.14.

__

Additional comment

Small percentages can usually be added and subtracted without introducing too much additional error. (The smaller the percentages, the less additional error is introduced.) Here, the error in our estimated product can be more accurately determined by computing ...

  (1 -3%)(1 +3.5%) = 1 +0.5% -0.105% = 1 +0.395% . . . . . . (not 1 +0.5%)

That is, our product's actual value is 24.0948, not 24.12.

Answer:

Whats a you love

Step-by-step explanation:

no entiendo

Answer:68600m

Step-by-step explanation:98 meters to cm is 9800 then times it by 7 you get 68600

Answer:

the answer is yes

since there is there sides that's what shows in a triangle

So y=mx+b is still prevalent here even if it's an inequality. Meaning your slope AND y-intercept can help you. Even if it's in ax+by=c you can easily get the y alone into slope-intercept.

y<_3x+5 for example. For one, it is y is less than or equal to 3x+5. So the line shouldn't be dotted. So that leaves us with the two far-right graphs to look at. 5 is our y-intercept in the equation. So look at our graph and see which one has the line passing through 5. They both do. Okay, well we can still use our sign, it shows that y is LESS than 3x+5. So the shaded blue part should be on the right. If it was the other way around it would be the left. So our graph should be the far right for this equation.

Hope this helps... I know it's kind of messy. If you need any more help let me know. But I hope I outlined what to look for.

Answer:

10

Step-by-step explanation:

Rad10 times rad10 equals rad100 which is simplified to 10

Answer:

A: 10

Step-by-step explanation:

√10 × √10

= 10

Answer:  Drawing a blue marble and a yellow marble at the same time from a bag of marbles is the example of dependent events.

Step-by-step explanation: When the cards are replaced, or flipping coins or rolling dice, the outcome of the first event does nor affect the probability of the next event.

Drawing two marbles at the same time is essentially the same as drawing one and Not replacing it and then drawing the second one. The number of marbles left affects the probability.

Answer:

A

Step-by-step explanation:

Answer:

1. lines that never touch

2. lines that cross each other and make a right angle

Step-by-step explanation: