Korey and lan are arguing about how to find the perimeter of a rectangle. Korey says you should add the length and the width and then multiply the sum by 2. Ian says you should double both length and width and then add them together who is correct

[tex]\huge \underline\frak \red{Answer}[/tex]

Given thing are

cos Θ = 2/3

we know that Cos Θ = Adjacent Side / Hypotenuse, so we get

Adjacent Side = 2

Hypotenuse = 3

Hypotenuse : BC = 3

Adjacent Side : AB = 2 (Adjacent to ∠ Θ)

Opposite Side : AC = ? (Opposite to ∠ Θ)

To find the Opposite Side - AC , we use Pythagoras theorem ((Hypotenuse)2 = (Leg 1)² + (Leg 2)²)

AC = √ BC² - AB²

AC = √ 32 - 22

AC = √ 9 - 4

AC = √5

Now we will try to simplify square root of 5. As no pairs can be made the final value will be

__

AC = √ 5

So Sin, Cos and Tan will be as follows -

Sin Θ = Opposite Side / Hypotenuse

__

Sin Θ = √5/3

Tan Θ = Opposite Side / Adjacent Side

__

Tan Θ = √5/2

Cos Θ = Adjacent Side / Hypotenuse

Cos Θ = 2/3

Step-by-step explanation:

The second part fir y

Explained in pic

Answer:

(−2, −3)

Step-by-step explanation:

Let's solve your system by substitution.

x−9y=25;6x−5y=3

Step: Solvex−9y=25for x:

x−9y=25

x−9y+9y=25+9y(Add 9y to both sides)

x=9y+25

Step: Substitute9y+25forxin6x−5y=3:

6x−5y=3

6(9y+25)−5y=3

49y+150=3(Simplify both sides of the equation)

49y+150+−150=3+−150(Add -150 to both sides)

49y=−147

49y

49

=

−147

49

(Divide both sides by 49)

y=−3

Step: Substitute−3foryinx=9y+25:

x=9y+25

x=(9)(−3)+25

x=−2(Simplify both sides of the equation)

Therefore answer:

x=−2 and y=−3 which is (-2, -3)

Hope it helps!

Answer:

Step-by-step explanation:

Let's set up the variables as nickel=n and penny=p, for how many coins he has of each type. What we know is that Calvin had $8.80 total and that he has twice as many nickels as pennies. So, one equation for his total money and another for how many separate coins: 8.80 = 0.01p + 0.05n 2p=n

Answer:

= 3/14 × 10/7

= 15/14

hope it helps!

Answer:

= 3/14 × 10/7

= 15/14

Step-by-step explanation:

branliest pls

No, it is not. If you plug 4 into the equation in the place of x, you get 13=2(4)+4

13=8+4

13=12

It equals 12, not 13.

Answer:

No

Step-by-step explanation:

Because If You Do 2 x 4 you get 8 and 8 + 4 = 12 and not 13 so the answer is 4.5 because 4.5 x 2 = 9 and 9 + 4 = 13

Answer:

m= 12

Step-by-step explanation:

[tex]\frac{3m+4}{8} = 5[/tex]

First multiply both sides by 8 to cancel out the 8 on the left side

[tex]3m + 4 = 80[/tex]

Isolate the m so subtract 4 from both sides.

[tex]3m = 36[/tex]

Divide both sides by 3.

[tex]m = 12\\[/tex]

Answer:

F(x)= (x-5)(x+3)

Step-by-step explanation:

we have two roots/ X-intercepts meaning we can assume that it is a quadratic function

Answer:

8.61%

Step-by-step explanation:

5.6/65*100

6x + ( 3x - 9) = 90°( being complementary angles )

6x+3x -9 = 90°

9x = 90° + 9

x = 99 / 9

x = 11

Answer:

x=17

Step-by-step explanation:

1) 4x +7 = 5(x-4)      Congruent angles

2) 4x + 7 = 5x -10    Distributive Property

3) Simplify

4x + 7 = 5x - 10
-4x        -4x
  7 = x - 10
+10       +10

x = 17

Answer:

18480 ft

Step-by-step explanation:

Note that 1 mile = 5280 feet. We can use this information to set up a unit converter:

[tex]3.5mi(\frac{5280ft}{1mi})[/tex]

Miles cancels out on the bottom giving us...

[tex]3.5*5280ft=18480ft[/tex]

Answer:

65.8 mph

Step-by-step explanation:

What I did was I divided 205.296 by 3.12 and I got 65.8.

Answer:

5

Step-by-step explanation:

Well, there's a formula: to find the measure of any section, you should multiple every section to its ending after the crossing, and then make a proportion.

So, 9(n+7) = 18(n+1)

9n+63 = 18n+18

-9n+45=0

-9n=-45

n=-45/-9

n=5

Answer:

12* y-4

Step-by-step explanation:

The first is twelve. then the asterisk is next. y is for the "number" Lastly, subtract 4.

Answer:

45

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

The equation for circumference is:

[tex]C=2\pi r[/tex]

In this case, the radius and the circumference are directly proportional meaning that if the radius increases by 50%, the circumference will also increase by 50%.

Let's use some examples to prove this:

Radius : 2

Increase by 50% : 2*50%=2*(50/100)=2(1/2)=1 --> 1+2 = 3

[tex]C=2\pi r=2\pi 3=6\rightarrow 50 \ percent\ increase\ from\ 4\\C=2\pi r=2\pi 2=4[/tex]

Radius : 4

Increase by 50% : 4*50%=4*(50/100)=4(1/2)=2 --> 2+4 = 6

[tex]C=2\pi r=2\pi 6=12\pi\rightarrow50\ percent\ increase\ from\ 8\\C=2\pi r=2\pi 4=8\pi[/tex]

In both cases, when we increased the radius by 50%, the circumference also increased by 50%, proving our previous statement correct.

Therefore, when the radius of a circle is increased by 50%, the circumference will also increase by 50%

Answer:

5p(2p-3)(p+7)=0

10p-15 p +7 =0

10p+p=0+15-7

11p =8

11p=8

p=8/11

Answer:

p=0, p=1.5, p=-7

Step-by-step explanation:

Assuming we need the equation to equal zero we do this.

5p(2p-3)(p+7)

5p = 0        (2p-3) = 0       (p+7)= 0  Separate each part

5(0) = 0      2(1.5)-3 = 0.   (-7)+7 = 0  Replace P so the outcome is 0

  p=0,             p=1.5,           p=-7      Solution

Answer:

B

Step-by-step explanation

i just did it

Answer:

(B) 30 and 60 degrees

Step-by-step explanation:

The price of the given menu items can be used to find the price of Egg &

Mash to be £2.1.

Response:

The price for Egg & Mash is £2.1

Let x represent the cost of Egg, let y represent the cost of Chips, let

z, represent the cost of Sausages, and a the cost of Mash we have the

following system of linear equations;

x + y = 3...(1)

z + y = 3.6...(2)

z + a = 2.7...(3)

x + a = Required

Solution:

Subtracting equation (1) from (2) gives;

z + y - (x + y) = 3.6 - 3 = 0.6

z - x = 0.6

Therefore;

z is £0.6 more expensive than x

x = z - 0.6

By plugging in the value of x = z - 0.6, gives;

x + a = z - 0.6 + a = z + a - 0.6

z + a = 2.7, which gives;

x + a = z + a - 0.6 = 2.7 - 0.6 = 2.1

Learn more about system of simultaneous equation here:

https://brainly.com/question/1346297

Answer:

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]

[tex]\large\underline{\textsf{What are Equations?}}[/tex]

[tex]\textsf{Equations are statements that determine 2 or more expressions are equal.}[/tex]

[tex]\underline{\textsf{This means that;}}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} \ is \ equal \ to \ \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}[/tex]

[tex]\large\underline{\textsf{What are Proportions?}}[/tex]

[tex]\textsf{Proportions are comparisons to the size, and how large/small a value is.}[/tex]

[tex]\large\underline{\textsf{What is the Cross Multiplying?}}[/tex]

[tex]\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}[/tex]

[tex]\textsf{known value by another known value, then divide the product by last known}[/tex]

[tex]\textsf{number. This sounds like a lot, but I'll give an example.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

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

[tex]\textsf{We are asked to find x in the given proportion. We should use the cross}[/tex]

[tex]\textsf{multiplication method. Note that we should multiply the known values that are}[/tex]

[tex]\textsf{on opposite sides, and leave the known value with x as its opposite value alone}[/tex]

[tex]\textsf{until we have our product.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}[/tex]

[tex]\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow \frac{6}{1} = x[/tex]

[tex]\textsf{We'll divide by the last remaining known value, 1, then that should be the value}[/tex]

[tex]\textsf{of x.}[/tex]

[tex]\tt x = 6[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Use the Cross Multiplication Method.}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} = \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\tt 8 \frac{1}{3} \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}[/tex]

[tex]\textsf{values together.}[/tex]

[tex]\tt \frac{ \small\boxed{\tt 8 \frac{1}{3}} }{x} = \frac{2 \frac{1}{3} }{\small\boxed{\tt 8.1}} \rightarrow 67.5.[/tex]

[tex]\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt \frac{1}{3} .[/tex]

[tex]\tt x = \frac{67.5}{2 \frac{1}{3} }[/tex]

[tex]\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}[/tex]

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

Answer:

Step-by-step explanation:

2x - 3x(3+2) = 10

Distribute the -3x to the numbers inside the parenthesis:

2x - 9x -6 = 10

Simplify:

-7x = 16

Isolated the x:

x = 16/-7

Answer:

sample space

Step-by-step explanation:

8 divided by 5.2

that’s all it takes

Answer:

0.65

Step-by-step explanation:

Since we have given that

Cost of 8 pencils = 5.20

We need to find the cost of 1 pencil.

For this we'll use the unitary method,

5.20 divided by 8 = 0.65

Answer:

r = 2

Step-by-step explanation:

Slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Substitute the known values for their respective variables and solve for the missing coordinate, r.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\ -\frac{1}{2}=\frac{6-r}{-12-(-4)}\\\\-\frac{1}{2}=\frac{6-r}{-8}\\\\ -8(-\frac{1}{2})=(\frac{6-r}{-8})-8\\\\ 4=6-r\\\\4-6=6-r-6\\\\-2=-r\\\\\frac{-2}{-1}=\frac{-r}{-1}\\\\ 2=r[/tex]