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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

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:

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:

700 calories

Step-by-step explanation:

I hope this helps!

Answer:

30039283 d

Step-by-step explanation:

i will  help in a bit

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

Answer:

(x,y)= (4,1)

Step-by-step explanation:

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

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:

x=-3

Step-by-step explanation:

I hope this help.

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:

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= -1/8

Step-by-step explanation:

try using symbolab

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!

6 - x > 9

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

Answer: 3.66666667

Step-by-step explanation:

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

To solve more questions on Evaluating experience, visit the link below-

https://brainly.com/question/11903485

#SPJ2

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:

The y-axis stays the same

Step-by-step explanation:

:)

Answer:

25 miles on week 7

Step-by-step explanation:

Answer:

You need to subtract 5/6

Step-by-step explanation:

35/6 - 5 = 5/6

So; 35/6 - 5/6 = 5

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

=16-16+1

=1

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:

Step-by-step explanation:

a

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