Find approximate solution(s) for the equation in the interval -pi < x < pi . Round to three decimal places. cot x = 2 sec x

Answer:

419, 420, 421

Step-by-step explanation:

Answer:

500, 550, 575

Step-by-step explanation:

Common sense

Answer:

  4 right; 4 up

Step-by-step explanation:

The difference between the two points is ...

  P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)

The translation is 4 units to the right and 4 units up.

Answer:

[tex]x\leq6\text{ or } x>30[/tex]

Step-by-step explanation:

We are given the compound inequality:

[tex]\displaystyle 9x+4\leq 58\text{ or } \frac{1}{6}x-2>3[/tex]

Note that this is an "or" inequality. In other words, we just have to solve each inequality individually and then combine the answers!

1)

We have:

[tex]9x+4\leq58[/tex]

Subtract 4 from both sides:

[tex]9x\leq54[/tex]

Divide both sides by 9:

[tex]x\leq6[/tex]

So, our first solution is all numbers less than or equal to 6.

2)

We have:

[tex]\displaystyle \frac{1}{6}x-2>3[/tex]

Add 2 to both sides:

[tex]\displaystyle \frac{1}{6}x>5[/tex]

To cancel out the fraction, let's multiply both sides by 6. So:

[tex]\displaystyle 6\left(\frac{1}{6}x\right)>6(5)[/tex]

The left side will cancel. Therefore:

[tex]x>30[/tex]

So, our second solution is all numbers greater than 30.

Therefore, our full solution will be:

[tex]x\leq6\text{ or } x>30[/tex]

And we're done!

Answer:

−8x−7y=96 (* 5)

−3x+5y=−25  (* 7)

-40x - 35y = 480

-21x + 35y = -175

=> -61x = 305

x = -305/61

x = -5

-3x + 5y = -25  

-3 * (-5) + 5y = -25

5y = -40

y = -8 =>

x = -5

y = -8

9x+4≤58 or 16x−2>3

9x ≤ 54 or 16x > 5

x ≤ 6 or x > 5/16

Answer:

x=60

Step-by-step explanation:

here DOB and AOC are vertically opposite angles and the values of them are equal. so lets take the two angles as y.

x+DOB is 90(because EOA is 90 and the sum of angles in a straight line is 180), DOB is y and can write a equation as x+y=90

and 30+2x+y = 180 ,

2x+y=150, (180-30)

then two equations can be made.

x+y=90

2x+y=150

simplifying these two simultaneous equations

can get x as 60. and 2x is 120.

The value of x is 60°

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Here, DOB and AOC have equal values and are at vertically opposed angles. Let's use y to represent the two angles.

Since EOA is 90 and the total of the angles in a straight line is 180, x+DOB equals 90 and can be written as x+y=90.

And 30 + 2x + y = 180 ,

⇒ 2x+y = 180-30

⇒ 2x + y = 150,

After which two equations can be created.

⇒ x+y=90

⇒ 2x+y=150

We have the two simultaneous equations made simpler.

We can get x as 60. and 2x as 120.

Thus, the value of x is 60°

Learn more about the complementary angles here:

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Answer:A. 1

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Step-by-step explanation:

[tex]2 \frac{1}{3} = \frac{7}{3} [/tex]

[tex]4 \frac{1}{5} = \frac{21}{5} [/tex]

[tex] \frac{7}{3} \times \frac{21}{5} = \frac{147}{15} = 9 \frac{12}{15} [/tex]

Answer: h= 7/10

Step-by-step explanation:

9(4h - 6 ) = 2(-13 - 2h)       Distribute on both sides

9(4h) + 9(-6) = 2(-13) + 2(-2h)

36h - 54 = -26 - 4h       Add 4h to both sides

+4h                   +4h

40h - 54 = -26      Add 54 to both sides

      +54     +54

40h = 28     Divide both sides by 40

h = 7/10

Answer:

h= 7/10

Step 1: Remove the parentheses

9(4h - 6) = 2( -13 - 2h) = 36h-54= -26 -4h

Step 2: Move the terms

36h-54= -26 -4h = 36h+4= -26 + 54

Step 3: Calculate like terms

36h+4= -26 + 54 = 40h=28

Step 4: Divide both sides

40h=28 = h= 7/10

(In decimal form - h=0.7)

Step-by-step explanation:

Y = M X + C

6 = -2 × -1 + C

6 = 2 + C

6 - 2 = C

4 = C

Answer:

b = 8

Step-by-step explanation:

6 = 2(-1) + b

6 = -2 + b

8 = b

Answer:

f(7)= -48

Step-by-step explanation:

Evaluate f(x)= -3(9+x) for x=7.

Substitute 7 for x in f(x)=-3(9+x), obtaining f(7)= -48

Answer:

c!

Step-by-step explanation:

Answer:

D. -11

Step-by-step explanation:

Imagine 14-3, and that gets you 11, but this is 3-14, so it would be the negative of that number

Answer:

Angle C  ∠C = 160.49°

side b =  0.522  m

side a = 17.34 m

Step-by-step explanation:

Given that;

In a Δ ABC,

∠A = 18.95°

∠B = 0.56°

∠C = ???

side A = ???

side B = ???

side C = 17.83 m

We are to determine the unknown missing sides and the angle.

We know that, the sum of angles in a triangle = 180°

∴

∠A + ∠B + ∠C = 180°

18.95° + 0.56° + ∠C = 180°

∠C = 180° - 18.95° - 0.56°

∠C = 160.49°

Using sine rule to determine the unknown sides. The sine rule can be expressed as:

[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]

To determine side b, we have:

[tex]\mathtt{ \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]

[tex]\mathtt{ \dfrac{sin \ 0.56^0}{b} = \dfrac{sin \ 160.49}{17.83} }[/tex]

[tex]\mathtt{ b (sin \ 160.49) = 17.83 (sin \ 0.56)}[/tex]

[tex]\mathtt{ b = \dfrac{17.83 (sin \ 0.56)}{(sin \ 160.49)}}[/tex]

[tex]\mathtt{ b = \dfrac{17.83 \times 0.0097737}{0.33397}}[/tex]

[tex]\mathtt{ b = \dfrac{0.174265071}{0.33397}}[/tex]

b  = 0.522  m

For side a, we have

[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} }[/tex]

[tex]\mathtt{\dfrac{sin \ 18.95}{a} = \dfrac{sin \ 0.56}{0.522} }[/tex]

[tex]\mathtt{a \times sin \ 0.56 = 0.522 (sin \ 18.95)}[/tex]

[tex]\mathtt{a = \dfrac{0.522 (sin \ 18.95)}{ sin \ 0.56}}[/tex]

[tex]\mathtt{a = \dfrac{0.522\times 0.3247 }{ 0.0097737}}[/tex]

a = 17.34 m

Answer:

1872

Step-by-step explanation:

Plug is 16 for x

f(x)=13(4−x)^2

f(16)=13(4−16)^2

f(16)=13(-12)^2

-12^2=144

f(16)=13(144)

f(16)=1872

Hope this helps! Plz award Brainliest : )

The value of function f(x)= 13(4 - x)² at x= 16 is 1872.

To find the value of f(16), we substitute x = 16 into the expression for f(x) and evaluate it.

f(x) = 13(4 - x)²

Substituting x = 16:

f(16) = 13(4 - 16)²

Now, let's calculate:

f(16) = 13(-12)²

      = 13(144)

      = 1872

Therefore, the value of f(16) is 1872.

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Answer:

14, 15, 16

Step-by-step explanation:

45-2 The difference in integers, that way they're all the same number

43/3=14

14, 15, 16

Answer:

Each student ranks the other three in strict order of preference.

Step-by-step explanation:

When  4 different students from different background and personality lives together, there seems to be a room for the problems and stability between them. When the problem of stability arises, it would be as a result of the other 3 students ranking each other in strict order of preference regarding to their relationship and association.

Answer:

Step-by-step explanation:

Initial number of cards = c

Sold

Remaining

1/5 of r = 7

Initial number:

Answer:

Step-by-step explanation:

Donot give these stuff. Write it on a piece of paper thwn only send it. Im one of the brainlie's Assistant like i help people and teach them to do this or do that.

Answer:

Part a)  45 degrees

Part b)   The image looks the same as the original, the vertices rotate around point M in three steps of 45 degrees each (see attached image)

Step-by-step explanation:

Part a)

Notice that since this is a regular figure with 8 sides, in order to find the angle subtended by each, we divide 360 degrees into 8 parts, and that gives us a measure of : 360 / 8 = 45 degrees

So each angle measures 45 degrees, and also the requested angle AMB

m AMB = 45 degrees.

Part b)

Notice that a rotation of 135 degrees is equivalent to 3 rotations of 45 degrees, since  45 x 3 = 135

Then as we rotate the image around the center M in 3 chunks of 45 degrees, we are going to end up in a figure that looks exactly like the original one, but the only thing is that we see the names of the vertex in different positions. Vertex A goes now to where vertex F was. Vertex B goes to where vertex G was, etc.  Please see attached imagewhere the new vertex are denoted in red.

Answer:

its yes

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

We have the graph of f(x).

In order to find f(0), we simply need to find the y-coordinate of the coordinate when x is 0.  

From the graph, we can see that there is a point at (0,1).

In other words, when x is 0, f(x) is 1.

Therefore:

[tex]f(0)=1[/tex]

Answer:

[tex]f=278[/tex]

Step-by-step explanation:

[tex]f-81=197[/tex]

Add 81 to both sides:

[tex]f-81+81=197+81[/tex]

[tex]f=278[/tex]

Answer:

C

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

g(11)= 11-2=9

f(9)= 9²-54+3= 30

Answer:

3x - 10

Step-by-step explanation:

first set up the like variables next to each other

-4x + 7x - 7 - 3

Then, combine like variables

-4x + 7x = 3x

-7 - 3 = -10

The answer is:

3x - 10

Answer: 3x - 10

Step-by-step explanation:

To simplify you need to combine all like terms, and the only terms here are x terms and number ones, so you would combine those to have

3x - 10

7x - 4x

-7 -3

Answer:

c

Step-by-step explanation:

the square root of 106 is 10.

29

Slope: 3/2 (the coefficient of x)

Y-Intercept: (0,3) (substituting x = 0 into the equation)

Ans: Yellow

Slope of the line [tex]Y=\frac{3}{2} x+3[/tex] is [tex]\frac{3}{2}[/tex] and the y intercept is [tex](0,3)[/tex].

We have equation of the line is[tex]Y=\frac{3}{2} x+3[/tex]

As the standard form of the equation is [tex]y=mx+b[/tex] where m is the slope.

Now, here [tex]m=\frac{3}{2}[/tex]

So slope of the line is [tex]\frac{3}{2}[/tex]

Now, for y intercept put x=0, we get

[tex]y=\frac{3}{2}0+3\\y=3[/tex]

So y intercept is (0,3).

Learn more:https://brainly.com/question/14008948

Answer:

[tex]\huge\boxed{ \text{(A)}\ \ \frac{1}{10}, -\frac{1}{10}}[/tex]

Step-by-step explanation:

We can simplify this expression down so that we have x isolated on one side of the equation.

So we can take the square root of both sides.

[tex]x = \sqrt{\frac{1}{100}}[/tex]

The square root of [tex]\frac{1}{100}[/tex] will be the number that, when multiplied by itself, will get us [tex]\frac{1}{100}[/tex].

In order to find the square root of a fraction, the numerator squared must correct and the denominator squared must be correct.

[tex]1^2 = 1[/tex]

[tex]10^2 = 100[/tex]

This means that we have the values 1 and 10. Therefore one of our fractions is [tex]\frac{1}{10}[/tex].

HOWEVER: A negative number squared is a positive. So this also works:

[tex]-1^2 = 1\\\\-10^2=10[/tex]

So we have [tex]-\frac{1}{10}[/tex] along with  [tex]\frac{1}{10}[/tex].

Hope this helped!

Answer:

d = 4

Step-by-step explanation:

24 - 5d = d

24 = 6d

24 / 6 = 4

d = 4

Hope this helps :)

Answer:

444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444

Step-by-step explanation:

Answer:

$0.65

Step-by-step explanation:

The cereal ($3.68) + the milk ($3.53) + the bread ($2.14) costs a total of $9.35.  If Samantha gave the clerk $10.00, she'd receive 65 cents back.

$10.00 - ($3.68 + $3.53 + $2.14) = $0.65

Answer:

Total distance = 536 m

Total displacement = 24 m

Step-by-step explanation:

Distance and Displacement

A moving object constantly travels for some distance at defined periods of time. The total moved distance is the sum of each individual distance the object traveled. It can be written as:

dtotal=d1+d2+d3+...+dn

This sum is obtained independently of the direction the object moves.

The displacement only takes into consideration the initial and final points of the path defined by the object in its moving. The displacement, unlike distance, is a vectorial magnitude and can be even zero if the object starts and ends the movement at the same point.

For the question at hand, it's not known if the requirement is about the distance or the displacement, so we will compute both.

To compute the distance, we just add all the distances:

dtotal= 218 m + 72 m + 62 m + 184 m = 536 m

To compute the displacement, we must establish a positive direction as desired. Let's choose the east as the positive direction. Any movement eastward is considered positive and any movement westward is negative. We mentioned the displacement is a vector, but since we only have movement in the x-axis, we can only manage the signs. Thus, the total displacement is:

xtotal = 218 m - 72 m + 62 m -- 184 m = 24 m

Since the result is positive, the jogger stopped 24 meters eastward form the original point.

Answer:

40

Step-by-step explanation:

123 / 3 = 41, which will inevitably be at the center of the three numbers, so we have 40, 41 and 42

Answer:

96.5606

Step-by-step explanation:

I hope this helps :)