Barnes and Noble had a $1.00 annual dividend during 2008. If you owned 500 shares
of Barnes and Noble, how much did you receive on a quarterly dividend check?

Given:

[tex]\sin^{-1}\left(\dfrac{5}{8}\right)=A[/tex]

To find:

The correct equivalent equation.

Solution:

We have,

[tex]\sin^{-1}\left(\dfrac{5}{8}\right)=A[/tex]

Taking sin on both sides, we get

[tex]\sin \sin^{-1}\left(\dfrac{5}{8}\right)=\sin A[/tex]

[tex]\dfrac{5}{8}=\sin A[/tex]                      [tex][\because \sin (\sin^{-1}\theta )=\theta][/tex]

Interchanging the sides, we get

[tex]\sin A=\dfrac{5}{8}[/tex]

Therefore, the correct option is 4.

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm

Answer:

[tex]Volume=56\frac{1}{4}[/tex] cubic feet

Step-by-step explanation:

Given

[tex]L =3\frac{3}{8}ft[/tex] --- Length

[tex]W =13\frac{1}{3}ft[/tex] --- Width

[tex]H =3\frac{3}{4}[/tex] --- Tank

[tex]Water\ level = \frac{2}{3}[/tex]

Required

Space not covered with water

If the water level is:

[tex]Water\ level = \frac{2}{3}[/tex]

Then the empty space is:

[tex]Empty = 1 - Water\ level[/tex] --- Complement rule

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

Take LCM

[tex]Empty = \frac{3-2}{3}[/tex]

[tex]Empty = \frac{1}{3}[/tex]

So, the volume of the empty space is:

[tex]Volume=L*W*H*Empty[/tex]

[tex]Volume=3\frac{3}{8} *13\frac{1}{3}*3\frac{3}{4}*\frac{1}{3}[/tex]

Express fraction as improper fraction

[tex]Volume=\frac{27}{8} *\frac{40}{3}*\frac{15}{4}*\frac{1}{3}[/tex]

Simplify

[tex]Volume=\frac{9}{8} *\frac{40}{3}*\frac{15}{4}[/tex]

Simplify

[tex]Volume=\frac{3}{8} *\frac{40}{1}*\frac{15}{4}[/tex]

Simplify

[tex]Volume=\frac{3}{1} *\frac{5}{1}*\frac{15}{4}[/tex]

[tex]Volume=\frac{3*5*15}{4}[/tex]

[tex]Volume=\frac{225}{4}[/tex]

[tex]Volume=56\frac{1}{4}[/tex]

Answer:

i think 11y

Step-by-step explanation:

Answer:

a=8/2

a=4

Step-by-step explanation:

Answer:

[tex]a = 4[/tex]

Step-by-step explanation:

[tex](2a) = 8[/tex]

[tex]a = \frac{8}{2} [/tex]

[tex]a = 4[/tex]

Answer:

Solution given:

In right angled triangle

ABC.

with respect to <C=40°

opposite side=AB

adjacent=BC=DE=30ft

now

relationship between opposite side and adjacent

is given by tan angle

tan 40°=oppo/adjacent

tan40°=AB/30

AB=tan40*30

AB=25.2

Now

height of flagpole =AB+BE=25.2+5=30.2ft

option 4th is a required answer

Answer:

that something very disgusting to even say wdf

Step-by-step explanation:

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, scaled copy to original

scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

5

Step-by-step explanation:

The mean is the average so add up all values of the data points and divide by the amount of data points.

Answer:

11

Step-by-step explanation:

add all the x's to get the total

Answer:

-181

Step-by-step explanation:

According to the arithmetic calculator, it should be this.

Answer:

x=5.657 or because rouded 5.7

Step-by-step explanation:

ill give explaniation if want

Answer:

(I don't understand 36 sorry, but I can help you with 35)

C. 5.7 feet

Step-by-step explanation:

35. This question is asking you to use the pythagorean theorem, this is the formula:

a² + b² = c²

--------

So we know the lengths of a and b,

a² = 16

b² = 16

We add those together:

16 + 16 = 32

-------

The next step is to calculate [tex]\sqrt{32}[/tex]

[tex]\sqrt{32}[/tex] ≈ 5.7

------

Have a good day :)

Answer:

a = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

a = a

b = 8

c = 10

Step 2: Solve for a

Answer:

Disagree

Step-by-step explanation:

The surface area of the given prism consists of the following parts;

1) The area of the top and bottom right triangles, A₁, and A₂, which are given as follows;

A₁ = A₂ =  (1/2) × 5 × 12 = 30

2) The area of the left rectangle, A₃ = 5 × 8 = 40

3) The area of the rear rectangle, A₄ = 13 × 8 = 104

4) The area of the front rectangle, A₅ = 12 × 8 = 96

∴ A = A₁ + A₂ + A₃ + A₄ + A₅

A = 30 + 40 + 104 + 96 + 30 = 300

Jim B 65 + 65 + 104 + 96 + 40 = 370

The surface area of the triangular prism, A = 300 cm²

Jim-Bob's calculation contains two errors

1) 65 + 65 + 104 + 96 + 40 = 370 ≠ 270

2) The area surface area of the triangular prism = 300 cm² not 270 cm²  

and therefore, disagree with his calculation.

Answer:

1/4 is the simplified fraction for 12/48.

From what I can tell from this problem, 130° and y° look to be both on the same 180° horizontal line. To find what y is, you just gotta subtract 130 from 180 and you get 50°. So y° is really, 50°.

Now for the x°. Even though we don't know what the numbers add up to in this diagram, let's assume since all triangles add up to 180° (and quadrilaterals are comprised of two triangles), that all angles of this quadrilateral are supposed to equal 360°. All you have to do is add the 123°, 60°, and 50° together to get 233°, now just subtract 233° from 360°, and your answer is 127°.

By the way my math might be a little off but I hope this helps you understand it. I hope.

Answer:

Hello! answer: b = 5

Step-by-step explanation:

13 × 13 = 169 12 × 12 = 144 169 - 144 = 25 5 × 5 = 25 therefore b = 5 hope that helps!

Answer: 2 ounces

Step-by-step explanation:

Since Juan and Bill share a 12-ounce bucket of clay and Juan used 1/6 of the bucket, the quantity used by Juan will be:

= 1/6 × 12

= 2 ounce bucket of clay.

On the other hand, Bill used 2/3 of the bucket of clay. The quantity used will be:

= 2/3 × 12

= 8 ounce

Therefore, the quantity they both used will be:

= 2 ounce + 8 ounce

= 10 ounces.

The ounces left in the bucket will be:

= 12 ounces - 10 ounces

= 2 ounces

Answer:

Step-by-step explanation:

is product propriety

log AB = log A +log B

1/2 ㏒57 + 1/2 ㏒ 74 = 1/2 ㏒ 57*74 = 1/2 ㏒4,218

and power propriety

log [tex]log _{b} m^{p} = p* log_{b} m[/tex]

1/2 log 4,218 = log 4,218^1/2

Answer:

See the attached image for the graph of the first system.

Step-by-step explanation:

Here's how to graph the first system.

Start with the inequality [tex]-y \le -2x-3[/tex].  You can make this easier to work with by multiplying through by -1.  Remember to switch the inequality sign when multiplying by a negative number.  OK, you get the inequality

[tex]y \ge 2x+3[/tex].

The graph will be a half-plane -- all the points on one side of a line.  The line that is the boundary of the half-plane has an equation:  [tex]y=2x+3[/tex] -- just use an  =  sign instead of the inequality sign.

Graph the line.

The equation of the line is in slope-intercept form:  y = mx + b, so you can tell the y-intercept is 3 and the slope is 2 (think of it as a fraction 2/1).  Graph the line by going to the point (0, 3) -- the y-intercept -- then use the slope 2/1 interpreted as "rise over run" to go up 2 units and right 1 unit, arriving at the point (1, 5).  Draw the line through those points, (0, 3) and (1, 5).

Now you have to decide which side of the line the inequality [tex]y \ge 2x+3[/tex] is describing. To do this, pick a point which is not on the line, plug its coordinates into the inequality; if the result is true, shade the side of the line the point you picked is on (if false, shade the other side!)

An easy point to pick in this case is the origin, (0, 0).  Put zeros in for x and y in the inequality, and you'll get the statement [tex]0 \ge 2(0)+3 \, \Rightarrow \, 0 \ge 3[/tex].  That's false, so shade the side of the line not containing the origin.  In the image below, the shading is in purple.

All right, now for the other inequality, [tex]x+2\le 0[/tex].  Subtract 2 from both sides and the inequality becomes [tex]x \le -2[/tex].  This, too, graphs as a half-plane whose boundary line has equation [tex]x=-2[/tex].  Graph the line.  A line with an equation that has  x  in it but not  y is a vertical line with all its x-coordinates equal to the number on the right side of the equation.  This line is vertical and goes through points such as (-2, 0).

Pick a point not on the line (the origin works again).  Put the coordinates into the inequality to get [tex]0\le -2[/tex] which is false.  Shade the side of the vertical line which does not contain the origin.  In the image below, the shading is in black.

Finally,  YAY!  \o/ ,  the solutions to the system are all the points in the plane that got shaded twice.  In the image, they are the cross-hatched points above the purple line and to left of the black line.

Note: If you get a system with three inequalities, you'll be graphing three half-planes and looking for points that got shaded three times!

Note: One of your questions has the inequalities [tex]x \ge 0[/tex] and [tex]y \ge 0[/tex] in it.  These two inequalities say that the x and y coordinates are both positive or zero, confining your attention to Quadrant I in the upper-right part of a graph, above the x-axis and to the right of the y-axis.

Answer:

D.

Step-by-step explanation:

Circumference of a circle is also referred to as the perimeter bordering the circle.

Thus, it is given as:

C = 2πr

C is circumference

r = half of the diameter of the circle = r

This formula used in finding the circumference of a circle is C = 2πr

Answer:

B)

Step-by-step explanation:

to get the converse, interchange the hypothesis and conclusion

in this case the hypothesis is "if it is snowing" and the conclusion is "then it is my birthday"

Converse would then be "If it is my birthday, then it is snowing"

Answer:

A

Step-by-step explanation:

hope this helps

-SadAlpha-

Answer: 18

Step-by-step explanation:

I just found the number in between  

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{4(32)}[/tex]

= [tex]\sqrt{128}[/tex]

= [tex]\sqrt{64(2)}[/tex]

= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]

= 8[tex]\sqrt{2}[/tex]

Answer:

[tex]n = -3[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-5-2n=8n+25

-5-25=8n+2n

-30=10n

-30/10=n

-3=n

Step-by-step explanation:

therefore n=-3

Hope this helps u!!

Answer:

x = 16

y = 20

Step-by-step explanation:

the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.

since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²

; 9² + 12² = c²

; 225 = c²

;√225 = c

; 15 = c

since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',

; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]

; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx

36.86 = x

now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.

; 90 - 36.86 = 53.13

[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]

; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20

y = 20

again, since we have 2 sides of a right angled triangle we use a² + b² = c²

we arrange this formula since we have the hypotenuse

; 20² - 12² = 256

; √256 = x

; 16  = x

Hi there!  

»»————-　★　————-««

I believe your answer is:  

D) {(1, 2), (2,4), (−1, 2), (0,3)}

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Option A's answer is incorrect, as the domain value of '5' repeats.

{(5, 0), (0, 1), (5, 2), (4,4)}  

⸻⸻⸻⸻

Option B is not a function due to the repeating '-4' value.

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

⸻⸻⸻⸻

The '3' in option C's given relation repeats.

{(3, 2), (2,1), (−1, 2), (3,3)}

⸻⸻⸻⸻

Option D is the correct answer, as there are no domain values that repeat.  

{(1, 2), (2,4), (−1, 2), (0,3)}

Therefore, option D is a function.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The table represents a linear equation, y = - 2x - 2.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From, The given table the list of ordered pairs are,

(1, - 4), (2, -6), (3, - 8), (4, - 10), and (5, - 12).

By observing the ordered pairs and patterns we can form an equation,

y = - 2x - 2.

If we put the values of 'x' the equation will satisfy the values of 'y'.

learn more about graphs here :

https://brainly.com/question/2288321

#SPJ7