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To covert a fraction to it's simplest form we need to divide their numerator and denominator with the same number .

= 16/40

= 16 ÷ 4 / 40 ÷ 4

= 4/10

= 4 ÷ 2 / 10 ÷ 2

= 2/5

Since both the numerator and denominator dont have a common factor , we can say that they are in their simplest form .

Therefore , the fraction 16/40 = 2/5

Answer:

1/2 (Please read explanation to educate yourself)

Step-by-step explanation:

csc = hyp/opp

sin is the inverse of csc --> sin = opp/hyp

so for csc you have csc(0) = 2/1 and since sin is the inverse then sin(0) = 1/2

Very basic trigonometry and it is the fundamentals of every higher math so learn it well.

Answer:

[tex]a) 8y = 32.\\b)14-2y = 6.[/tex]

[tex]the \: right \: expression \: for \\ 3 \: is \: less \: than \: y \: is \: less \: than \: 7 \: is \\ 3 < y < 7. \\ then \\ y \: can \: be \: any \: value \: form \: (4 \: to \: 6). \\ so \: if \: y = 4. \\ then \\ 8y = 8 \times 4= 32. \\ and \\ 14 - 2y = 14 - 2 \times 4 = 6.[/tex]

The maximum and minimum value of the expressions are -

1 - 8y              Max [1] = 48              Min [1] = 32

2 - 14 - 2y           Max [2] = 6                  Min [2] = 2

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is that 3 is less than y is less then 7.

We can write the inequality -

3 < y < 7

Expression 1 : 8y

Maximum value of the expression = Max [1] = 48

Minimum value of the expression = Min [1] = 32

Expression 1 : 14 - 2y

Maximum value of the expression = Max [2] = 14 - 2 x 4 = 14 - 8 = 6

Minimum value of the expression = Min [2] = 14 - 2 x 6 = 14 - 12 = 2

Therefore, the maximum and minimum value of the expressions are -

1 - 8y              Max [1] = 48              Min [1] = 32

2 - 14 - 2y           Max [2] = 6                  Min [2] = 2

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Answer:

The y-axis stays the same

Step-by-step explanation:

:)

Answer:

- 2

Step-by-step explanation:

Step 1:

[tex]\frac{n^{10} }{n^{12} }[/tex] = [tex](n^{x})^{1}[/tex]           Equation

Step 2:

[tex]n^{10 - 12}[/tex] = [tex](n^{x}) ^{1}[/tex]        Subtract the exponents

Step 3:

[tex]n^{-2}[/tex] = [tex](n^{x})^{1}[/tex]             Subtract

Answer:

x = - 2

Hope This Helps :)

Answer:

a) root77

b) 2 root77 / ~17.55 cm^2

Step-by-step explanation:

a) by using Pythagorean Theroem,

a^2 + b^2 = c^2

2^2 + b^2 = 9^2

4 + b^2 = 81

81 - 4 = b^2

77 = b^2

root77 = b

b) 1/2bh is the quation for area thus,

area = 1/2 ( 4 ) ( root77)

area = 2 root77

or area = ~17.55 cm^2

h = [tex]\sqrt{77}[/tex]

A =[tex]2\sqrt{77}[/tex]

Rules for solving this problem:

Isosceles triangle rules

Because of isosceles being made up of two right triangles; using the pythagorean theorem we can deduce that

Area of a triangle

Step 1 - Find the height

[tex]h =\sqrt{9^2 - ((1/2)AC)^2} = \sqrt{9^2 - ((1/2)~4)^2} = \sqrt{9^2 - 2^2} = \sqrt{81-4} = \sqrt {77}[/tex]

Step 2 - Find the area

[tex]A = \frac{1}{2}bh = (\frac{1}{2})(4)(\sqrt{77}) = 2 \sqrt{77}[/tex]

Hope this helps,

  - J.M.Jamon

        Pennsylvania State University

        Full-time B.S.CE. undergrad student

Answer:

1. X= 1/3 z -1

2. X= 1/3z + -2/3

Step-by-step explanation:

z=3x+3

Step 1: Flip the equation.

3x+3=z

Step 2: Add -3 to both sides.

3x+3+−3=z+−3

3x=z−3

Step 3: Divide both sides by 3.

3x/3 = z-3/3

Step 1: Flip the equation.

3r+2=z

Step 2: Add -2 to both sides.

3r+2+−2=z+−2

3r=z−2

Step 3: Divide both sides by 3.

3r/ 3 = z-2/3

Answer: 3.66666667

Step-by-step explanation:

Answer:

25 miles on week 7

Step-by-step explanation:

6 - x > 9

hope this helps! :):):):)

Step-by-step explanation:

Solving a triangle means finding all unknown sides and angles.

For example, in #9, the third angle is 180° − 81° − 59° = 40°.

Using law of sines, the other two sides are:

a / sin 59° = 15 / sin 40°

a = 20.0

b / sin 81° = 15 / sin 40°

b = 23.0

Answer:

30039283 d

Step-by-step explanation:

i will  help in a bit

Answer:

I think 10 km.

Please mark as brainliest.

Answer: 10 kilometers

10 kilometers is about 38,500 feet. This is the average altitude an average commercial plane should fly. The answer to this question is D, 10 kilometers.

Hope this helps!

Answer:

(x,y)= (4,1)

Step-by-step explanation:

(4x+2+x^2-1)(-4)=(x^2+4x+1)(-4)=(-4)^2+4(-4)+1

=16-16+1

=1

Answer:

y = 3x + 2

Step-by-step explanation:

First you need to change the way the equation is said into a easier form:

y = 3x - 5

Since the line is parallel, you can use the same slope of 3:

y = 3x + b

Now you plug in the coordinates into the equation and solve for b:

-7 = 3 ( -3) + b

-7 = - 9 + b

-7 + 9 = b

2 = b

Now plig this into the equation and you have the answer

y = 3x + 2

Answer:

x=-3

Step-by-step explanation:

I hope this help.

Answer:

x= -1/8

Step-by-step explanation:

try using symbolab

Answer:

You need to subtract 5/6

Step-by-step explanation:

35/6 - 5 = 5/6

So; 35/6 - 5/6 = 5

Answer:

15 is the diameter and 7.5 is the radius

Step-by-step explanation:

The radius is the half of the diameter hehe boi

Answer

1.20+0.80d ≥ 4.00 is the equation. If you are trying to solve for the minimum of donuts she needs to buy so it is over $4.00, then it is 4

Step-by-step explanation:

So in the problem we know she already has bought one bottle of orange juice and needs to buy a certain amount of donuts but we know they are each 0.80 so that will become 0.80d. The 1.20 + 0.80d have to be greater than or equal to 4.00 so she can pay with the debit card and that is why we put the ≥ symbol.

Answer:

.80 × 4 =$3.20

orange juice is $1.20

d =.80×4 +1.20

d=$4.40

Answer:

Step-by-step explanation:

a

Answer:

700 calories

Step-by-step explanation:

I hope this helps!

Answer:

y=2/3x - 6

Step-by-step explanation:

use the formula y=mx+b. the m of this equation is equal to the slope and you know that the slope is 2/3. the b of the equation is equal to the y-intercept so, to find b you simply look at the points given. the points are written in (x,y) form so if -14 is x, -6 must be y. remember to KEEP CHANGE CHANGE your signs so that plus sign becomes negative 6. Hope this helps!

Answer:

t = 1.5 s and s(t) = 36 feet

Step-by-step explanation:

The height reached by an object as a function of time t is given by :

[tex]s(t)= -16t^2+48t[/tex] ...(1)

t is in seconds

To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]

It will take 1.5 seconds to reach its maximum height.

Put t = 1.5 s in equation (1), such that,

[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]

The maximum height reached by the object is 36 feet.

Answer:

Step-by-step explanation:

1) x + 65 = 90

           x = 90 -65

           x = 25

2) x + 51 = 180    {Linear Pair}

         x = 180 - 51

         x = 129

3)  y = 107    {Vertically opposite angles are equal}

    x + 107 = 180   {linear pair}

             x = 180 - 107

             x = 73

z = x    {Vertically opposite angles are equal}

z = 73

4) If sum of two angles is 180,, then they are called supplementary.

one angle = 13

It's supplement = 180 - 13

                         = 167

5)  If sum of two angles is 90, then they are called complementary.

one angle = 38

It's complement = 90 - 38

                         = 52

6) ∠1 + ∠2 = 180

5x + 9 + 3x +11 = 180  {Combine like terms}

 8x + 20  = 180

            8x = 180 -20

            8x = 160

              x= 160/8

x = 20

∠1 = 5x + 9

   = 5*20 +9

   = 100+9

    = 109

∠2 = 3x +11

    = 3*20 +11

   = 60 +11

   = 71

7) Vertically opposite angles are equal

            ∠2 = ∠2 1

  20x - 14  = 17x + 1

20x - 17x -14 = 1

         3x - 14 = 1

               3x =1 +14

              3x = 15

                x = 15/3

               x = 5

∠2 = 20x - 14

     = 20*5 - 14

    = 100 - 14

   =  86

8) ∠K + ∠L = 90

3x +3 + 10x - 4 = 90   {Combine like terms}

            13x  -1 = 90

                 13x = 90 + 1    

                     x = 91/13

                     x = 7

∠K = 3x + 3

    = 3*7 + 3

    = 21 +3

    = 24

∠L =  10x - 4

    = 10*7 -4

    = 70 - 4

    =   66