Find the solution for the following equation: 3x = 45

Answer:

Part I: 2πr*X/360

Part II: 2.5 radians

Part III: 143.24°

Step-by-step explanation:

Part II: and Part III: 2π(6)*x/360 = 15, x = 143.24°

143/360 = x/2π, x = 2.5 radians

Answer:

Step-by-step explanation:

[tex]v=\dfrac st\quad\implies\quad t=\dfrac sv[/tex]

s = 2 km

t - time of run

v - speed of running

Batman:

v = 3km/min

[tex]t = \dfrac{2\,min}{3\,\frac{km}{min}}=2\,km\cdot\dfrac{min}{3\,km}=\dfrac23\,min = \dfrac23\cdot 60\,s=40\, s[/tex]

The Bionic Woman:

v = 5 km/min

[tex]t = \dfrac{2\,min}{5\,\frac{km}{min}}=2\,km\cdot\dfrac{min}{5\,km}=\dfrac25\,min = \dfrac25\cdot 60\,s=24\, s[/tex]

time from Batman's start: 24 s + 12 s = 36 s

40 - 36 = 4

Answer:

Step-by-step explanation:

[tex]m = 7\\(8,9)=(x_1 , y_1)\\\\y-y_1=m(x-x_1)\\\\y - 9=7(x -8)\\y-9=7x-56\\\\Collect\:like\:terms\\\\y = 7x-56+9\\\\y = 7x-47[/tex]

Answer:

One tshirt is $4

Step-by-step explanation:

28/7= 4

Answer:

$4.

Step-by-step explanation:

If 7 shirts equals 28 in total then just do 28/7 = 4.

4x7 = 28.

Answer: -41

Step-by-step explanation:

Answer:

41 degrees below 0 is -41

Let x be the no.of square feet for landscaping

Company A

Monthly consulting fee = $250

Cost of landscaping of 1 sq.feet = $10

Cost of landscaping of x sq.feet = $10x

So, Total charge by company A = 250+10x  ---1

Company B

Monthly consulting fee = $90

Cost of landscaping of 1 sq.feet = $12

Cost of landscaping of x sq.feet = $12x

So, Total charge by company B = 90+12x   ---2

Now we are supposed to find  how many square feet of landscaping will the two companies charge the same amount

So, Equate 1 and 2

[tex]250+10x=90+12x\\160=2x\\80=x[/tex]

So, the two companies charge the same amount for 80 sq.feet

Total charge by company A for 80 sq.feet = 250+10(80)= $1050

Total charge by company B for 80 sq.feet = 90+12(90)=$1170

Answer:

Hey there!

Expand (2+i)(3-i). You should get 7+i

Expand (7+i)(1+2i). You should get 5+15i

Expand (5+15i)(1-i). You should get 20+10i

Expand (20+10i)(3+i). You should get 50+50i as your final answer.

Let me know if this helps :)

Answer:

The answer is below

Step-by-step explanation:

The question is not correct, the correct question is:

The regional manager of a chain of department stores created the following stem-and-leaf plot showing the number of pairs of boots at each of the stores:

I 0 I

I 1 I 7 8

I 2 I 0 5 8

I 3 I 4 4 7 8

I 4 I 0

I 5 I

I 6 I

How many department stores have more than 60 pairs of boots

Answer:

The stem and leaf plot is a table which is used to represent a value with the first and other digit as the stem while the last digit is the leaf.

From the table attached, the first column is the stem and the remaining column are the leafs. Therefore from the table, below are the pairs of boots in different stores:

17, 18, 20, 25, 28, 34, 34, 37, 38 and 40.

All the store have fewer than 60 boots. This means that the number of stores with more than 60 pairs of boots is 0

Answer: 8 liters  can.

Step-by-step explanation:

First we need to find the volume of the cart tank . Since it is in the shape of a rectangular prism we have to multiply the length by the width by the height to find the volume.

V= 40 * 25 * 8  

V =  8000  

Which means that the volume is 8000 cubic centimeters.  

Now convert 8000 cubic centimeters to liter.

It gives us a hint that 1 liter is equal to 1000 cm^3

So to convert 8000 cubic centimeters to liters we will have to divide it by 1000.

8000/1000 = 8 liters.

Answer:

3.3

Step-by-step explanation:

7-7=0

-3+-7=-10

10 divided by 3 is 3.3

i got something different

Answer:

19 inches

Step-by-step explanation:

Area of a square = s^2

s^2 = 361

s = 19

First multiply the numbers inside the radicals together.

So √3 · √15 is √45.

So we have 2√45.

Note that the 2 can't be multiplied by anything since

√15 has nothing outside of the radical.

So we have 2√45.

Now, break down your square root.

√45 breaks down as 9 · 5 and 9 breaks down as 3 · 3.

Since we have a pair of 3's, a 3 comes outside of the radical

multiplying by the 2 that was previously outside to get 6.

The 5 doesn't pair up so it stays inside.

So our final answer is 6√5.

Answer:

C) [tex]6\sqrt{5}[/tex]

Arithmetic without explanation:

[tex]2\sqrt{3}* \sqrt{15}\\ = 2\sqrt{3}* \sqrt{3*5} \\ = 2\sqrt{3^2} *\sqrt{5} \\ = 2 * 3\sqrt{5} \\= 6\sqrt{5}[/tex]

Example of radical multiplication:

Take [tex]y\sqrt{x} * a\sqrt{b}[/tex]  as an example:

1. Multiple the numbers inside the roots

      [tex]\sqrt{x} * \sqrt{b} = \sqrt{x*b} = \sqrt{xb}[/tex]  

2. Multiple the numbers outside the roots

       [tex]y*a = ya[/tex]

3. Combine them and simplify

      [tex]ya\sqrt{xb}[/tex]

Step-by-step explanation:

We are given the expression [tex]2\sqrt{3}*\sqrt{15}[/tex]

 1. Identify the roots and multiply them

         The roots are [tex]\sqrt{3}[/tex]  and [tex]\sqrt{15}[/tex]

           [tex]\sqrt{3} *\sqrt{15} \\= \sqrt{45}[/tex]

  2. Multiply the numbers outside the root

         For [tex]2\sqrt{3}[/tex] it is [tex]2[/tex] and for [tex]\sqrt{15}[/tex] it is [tex]1[/tex]

          [tex]2*1 = 2[/tex]

  3. Combine and simplify

    Combine:

              [tex]2* \sqrt{45}\\= 2\sqrt{45}[/tex]

   Simplify:

           *Note: [tex]\sqrt{n^2} = n[/tex]

        1. Find the Prime factorization of 45

                   [tex]45 = 3^2 * 5[/tex]

        2. Simplify the Root

                  [tex]2\sqrt{45} \\ = 2\sqrt{3^2 * 5} \\= 2\sqrt{3^2} * \sqrt{5} \\= 2 * 3\sqrt{5}\\ =6\sqrt{5}[/tex]

We end up with [tex]6\sqrt{5}[/tex]

Answer/Step-by-step explanation:

3.a. length of AC.

Hypotenuse = AC

Opposite side to 60° = 7

Therefore, [tex] sin(60) = \frac{7}{AC} [/tex]

[tex] AC*sin(60) = \frac{7}{AC}*AC [/tex]

[tex] AC*sin(60) = 7 [/tex]

[tex] AC = \frac{7}{sin(60)} [/tex]

[tex] AC = 8.1 [/tex] (to nearest tenth)

b. Length of BC

Hypotenuse = BC

Opposite side to 50° = 7

Therefore, [tex] sin(50) = \frac{7}{BC} [/tex]

[tex] BC*sin(50) = \frac{7}{BC}*AC [/tex]

[tex] BC*sin(50) = 7 [/tex]

[tex] BC = \frac{7}{sin(50)} [/tex]

[tex] BC = 9.1 [/tex] (to nearest tenth)

c. Length of AB

Use the law of sines to find AB

[tex] \frac{BC}{sin(A)} = \frac{AB}{sin(C}} [/tex]

m<C = 180 - (60 + 50) (sum of angles in a triangle) = 70°

m<A = 60°

BC = 9.1

AB = ?

[tex] \frac{9.1}{sin(60)} = \frac{AB}{sin(70)} [/tex]

Cross multiply

[tex] 9.1*sin(70) = AB*sin(60) [/tex]

Divide both sides by sin(60)

[tex]\frac{9.1*sin(70)}{sin(60)} = \frac{AB*sin(60)}{sin(60)}[/tex]

[tex]\frac{9.1*sin(70)}{sin(60)} = AB[/tex]

[tex] 9.9 = AB [/tex] (nearest tenth)

[tex] AB = 9.9 [/tex]

Answer:The answer is OD 10.125

Step-by-step explanation:

Add all the lengths of the fish (6+8+9+10+11+12+12+13) = 81

Divide by 8

81/8

=10.125

Answer: yes

Step-by-step explanation:

adding 50 40 30 20 10 and 0 gets you 150 so 2nd place gets 40

Answer:

The probability is 23/30, .77, or 77 percent.

Step-by-step explanation:

Add up all the non cherry options, then put them over the total, 30. You would get 23/30, or .7666666666..., which is also known as about 77 percent. So the probability is 23/30, .77, or 77 percent.

Answer:

The correct option is;

C) Translation 8 units to the right

Step-by-step explanation:

The function h(x) = 12·x⁸ + 49 is an even function

However a translation 8 units to the right would yield the following function;

h(x) = 12 × (x+ 8)⁸ + 49 = 12x⁸ + 768x⁷ + 21504x⁶ + 344064x⁵ + 3440640x⁴ + 22020096x³ + 88080384x² + 201326592x + 201326641

For h(1) = 516560701

Also h(-x) = 12 × (-x+ 8)⁸ + 49 = 12x⁸ - 768x⁷ + 21504x⁶ - 344064x⁵ + 3440640x⁴ - 22020096x³ + 88080384x² - 201326592x + 201326641

For h(-1) = 69177661

Therefore h(x) ≠ h(-x) after the translation 8 units to the right and the function is neither even nor odd.

Answer:The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.

Step-by-step explanation:

Answer:

the answer would be 0 because 0+5=5

Answer:

$94.05

Step-by-step explanation:

Original price of jeans=$95

Discount=10%

New price=(100% - 10%) of $95

=90% × 95

=90/100 × 95

=0.9 × 95

=$85.5

Sales tax of 10%

10% of the new price

=10/100 × 85.5

=0.1 × 85.5

=$8.55

Sales tax =$8.55

Total amount paid for the jeans= sales tax + new tax

=$8.55 + $85.5

=$94.05

Answer:

4√x

Step-by-step explanation:

4√x

Answer: the answer is -1.

the inverse operation of subtraction is addition so you would add 2 on both sides. now you have -4 + 2= -2. now the opposite of multiplication is division. so -2 divided by 2 is -1. hope this helps. Brainliest please!

Answer:

−1=t

Step-by-step explanation:

−4=2t−2

Simplify

First, add the same terms to both of the sides of this equation.

−4=2t−2

−4 + 2 =2t - 2 + 2

Secondly, simplify.

add the numbers

−4 + 2 =2t - 2 + 2

-2 = 2t - 2 + 2

Then,

-2 = 2t - 2+2

-2 = 2t

v

It's simplified to -2 = 2t

Thirdly, Divide both sides of the equation by the same term.

−2=2t

2  over −2

​ =  

2  over 2t

Simplify

(divide the numbers)

2  over −2

​ =  

2  over 2t

which also equals to

(simplify fraction)

−1 =   2  over 2t

-1 = t

​

​

Answer:

Step-by-step explanation:

P(1, -2) ;Q(4,3)

Let R(x1,y1)

Midpoint=[tex](\frac{x_{1}+x_{2}}{2},\frac{y_1+y_2}{2})\\[/tex] = (4,3)

[tex](\frac{1+x_1}{2},\frac{-2+y_1}{2})=(4,3)\\[/tex]

Compare x coordinates and y coordinates

[tex]\frac{1+x_1}{2}=4 ; \frac{-2+y_2}{2}=3[/tex]

1+x1 = 4*2   ; -2+y2 = 3*2

1+x1 = 8       ;  -2 +y2 = 6

   x1= 8-1     ;        y2 = 6+2

    x1 = 7     ;         y2 = 8

R(7 , 8)

Answer: fluorescence

Step-by-step explanation:

Answer:

fluorescence

Step-by-step explanation:

Step-by-step explanation:

3n-2=2n

-2=2n-3n

-2=-n

-2=-n

divide by - to get 2

Answer:

(b)

Step-by-step explanation:

This is the answer of your questions if right give 5 star!!! and Mark as brainliesr

Answer:

wat???

Step-by-step explanation:

Answer:

Hope this will help you :)

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

First we simplify:

-5x - 5 > 7x + 31

-12x > 36

x < -3.

We reverse the sign because we divided by a negative number on both sides.

That should be easy to graph.