Your friend claims the measure of an exterior angle will always be greater than the sum of the nonadjacent interior angles measures. Is your friend correct> Explain your reasonings. ​

Answer: The answer above is correct.

0

1

sin

3

3

Step-by-step explanation: Got it right on assignment from edge.

Using trigonometric identities, the solution to the equation[tex]cos(\frac{\pi }{2} -x) = \frac{\sqrt{3} }{2}[/tex] for all possible values of x on the interval [0, 2π].

Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.

[tex]cos(\frac{\pi }{2} - x) = \frac{\sqrt{3} }{2} \\\\cos(x) cos(\frac{\pi }{2}) + sin(x) sin(\frac{\pi }{2}) = \frac{\sqrt{3} }{2} \\\\cos(x) (0)+sin(x)(1) = \frac{\sqrt{3} }{2} \\\\sin(x) = \frac{\sqrt{3} }{2}\\\\x = \frac{\pi }{3} , \frac{2\pi }{3}[/tex]

Learn more about trigonometric identities here

https://brainly.com/question/14746686

#SPJ3

Answer:

-10,-8,-4,-3,-1,0,1,2

Step-by-step explanation:

i did it

Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.

Step-by-step explanation:7=7x-9

Answer:

Personally I always do the smallest variable in order to make it easier

Step-by-step explanation:

in this case i would add 3x to both sides because it's (-3x) smallest out of the two. so then the equation would be 7 = 7x - 9

from there you would add 9 to both sides and get 16 = 7x

then x = 2.29 (it's rounded up from 2.285...)

Answer:

546 mL of water

Step-by-step explanation:

To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.

Let the amount of water is 6x and that of lemon juice is x.

ATQ,

6x+x = 637

7x = 637

x = 91

Amount of lemon juice = 91 mL

Amount of water = 6x = 6(91) = 546 mL

So, 546 mL of water she should add to make 637 mL of lemonade.

Answer:

1. 2 ≤ n ≤ 4

2. 4 * 20

3. T < 80

4. (2 * 4) + (4 * 3)

5. 16 ≤ P ≤ 32

Note: The quantities described are as follows:

1) the allowable number of players on a team  

2) the number of points,  , Han's team earns in one round if every player earns a perfect score  

3) the number of points,  , Han's team earns in one round if no players earn a perfect score  

4) the number of players,  , in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each

5) the possible number of players in a game with eight teams

Step-by-step explanation:

1. Let the number of players be n

Since each team can have between 2 and 4 players

n ≥ 2 or 2 ≤ n, and n ≤ 2

Therefore, the allowable number of players on a team   is given by 2 ≤ n ≤ 4

2) There are four players in Han's team and a perfect score is 20

Therefore, the number of points Han's team earns in one round if every player earns a perfect score   is given by 4 * 20

3) There are four players in Han's team

Total score if each player in Han's team earns a perfect score is 4 * 20 = 80

Let the total score of Han's team be T

Therefore, the number of points, Han's team earns in one round if no players earn a perfect score   is given by T < 80

4) If two team have 4 players, it is given by 2 * 4

If the rest four teams have 3 players each, it is given by 4 * 3

Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each  is given by (2 * 4) + (4 * 3)

5) Let the possible number of players in a game with be P

Maximum number of players in eight teams = 4 * 8 = 32

Minimum number of players in eight teams = 2 * 8 = 16

P ≤ 32 and P ≥ 16 or 16 ≤P

Therefore, the possible number of players in a game with eight teams  is given by 16 ≤ P ≤ 32

Answer:

[tex]y=(x-3)^2-6[/tex]

Step-by-step explanation:

[tex]y=x^2-6x+3[/tex]

This is written in the standard form of a quadratic function:

[tex]y=ax^2+bx+c[/tex]

where:

You need to convert this to vertex form:

[tex]y=a(x-h)^2+k[/tex]

where:

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

[tex]x=-\frac{b}{2a}[/tex]

Using your original equation, identify the a, b, and c terms:

[tex]a=1\\\\b=-6\\\\c=3[/tex]

Insert the known values into the equation:

[tex]x=-\frac{(-6)}{2(1)}[/tex]

Simplify. Two negatives make a positive:

[tex]x=\frac{6}{2} =3[/tex]

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

[tex]y=3^2-6(3)+3[/tex]

Simplify using PEMDAS:

[tex]y=9-18+3\\\\y=-9+3\\\\y=-6[/tex]

The value of y is -6 (3,-6). Insert these values into the vertex form:

[tex](3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)[/tex]

Insert the value of a and simplify:

[tex]y=(x-3)^2-6[/tex]

:Done

Given :

To avoid a service​ fee, your checking account balance must be at least ​$400 at the end of each month.

Your current balance is ​$432.993.

You use your debit card to spend ​$119.86.

To Find :

What possible amounts can you deposit into your account by the end of the month to avoid paying the service​ fee.

Solution :

Amount left in the account :

A = $432.993 - ​$119.86

A = $313.133

Let, amount added is x.

So,

A + x ≥ 400

x + 313.133 ≥ 400

x ≥ 400 - 313.133

x ≥ 86.867

Therefore, possible amount needed is greater than or equal to $86.867 .

Hence, this is the required solution.

Answer:

1

Step-by-step explanation:

Given table:

     x      -1    1   3   5

     y      -2   0   2  4

Unknown:

Slope of the line  = ?

Solution:

Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;

  Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]  

 let us take;

x₁ = -1        x₂ = 3

y₁ = -2        y₂ = 2

Insert the parameters and solve;

   Slope = [tex]\frac{2 - (-2)}{3- (-1)}[/tex]   = [tex]\frac{4}{4}[/tex]   = 1

The slope of the line is 1

Answer:

Mallory can buy 16 notebooks

Step-by-step explanation:

You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks

Answer:

she can buy 9 pencils

Step-by-step explanation:

Answer:

a) [tex]C(n) = 450+0.60n[/tex] where [tex]n<=3000[/tex]

b) [tex]R(n) = 1.80n[/tex] where [tex]n<=3000[/tex]

c) [tex]P(n) = - 450 +1.20n[/tex]

Step-by-step explanation:

Sale price of chocolates = $1.80 per chocolate

Fixed cost for the Chocolate Shoppe per week = $450

Cost to produce one chocolate = $0.60

Cost to produce [tex]n[/tex] chocolates = $0.60[tex]\times n[/tex]

a) Cost function to represent the total cost for the production of [tex]n[/tex] chocolates :

[tex]C(n) = 450+0.60n[/tex] where [tex]n<=3000[/tex]

b) Revenue function to represent the revenue from the sale of [tex]n[/tex] chocolates:

[tex]R(n) = 1.80n[/tex] where [tex]n<=3000[/tex]

c) Profit function to represent Charlie's profit from selling [tex]n[/tex] chocolates:

Profit is nothing but revenue minus sales.

[tex]P(n) = R(n) - C(n) \\P(n) = 1.80n - 450 -0.60n\\P(n) = - 450 +1.20n[/tex]

Answer:

ong

Step-by-step explanation:

Answer:

Rachel is a idiot

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

1200*3.5*2/100

=84

Answer:

$84

Step-by-step explanation:

You can also do 1,200x 0.035 x2 which equals $84.

Answer: D

Step-by-step explanation:

If you would like me to explain just ask.

30.16 = 17.56 + (-5x)  You need to get the -5x by itself so subtract 17.56 from 17.56 and subtract it from 30.16.

12.60 = -5x You need to get the x by itself now so divide -5 by -5 and 12.60 by -5.

then you get...

-2.52 = x

Answer:

512

Step-by-step explanation:

The sequence is doing the number times 2, so 4 times 2 equals 8,

8 x 2 = 16, ect

If you do this enough, you will get 512 as the 8th term.

Answer:

512 because

32x2=64

64x2=128

128x2=256

256x2= 512

Step-by-step explanation:

please give me brainlist

What is the value of the 8th term of the sequence 4, 8, 16, 32, ...? this is where I get 32 from

Answer:

b=15

Step-by-step explanation:

2/3b=10

3×2/3b=10×3

2b=30

÷2. ÷2

b=15

Answer:

40 years

Step-by-step explanation:

Hulian and Thomas together is 65 years

let us suppose hulian is X

now, so Thomas is x+15

so x+x+15=65

so 2x = 65-15

2x=50

x=25

Hulian is 25

and Thomas is 25+15=40

Answer:

Thomas's age: 40

Step-by-step explanation:

We have:

Thomas's age - Huilan's age = 15 (1)

Thomas's age + Huilan's age = 65 (2)

Add 1 and 2 we have :

2T = 65+15

<=>2T = 80

[tex]<=>T=\frac{80}{2} =40[/tex]

So Thomas's age is 40.

P/s: T is Thomas's age

Answer:

2. A) 37 B)160 C) 110

The tens digit is 10,20,30,40,50,60,70,80,90. Two away to the left of a decimal point.

3. A)730 B) 675 C)1930

The hundreds digit is three from the left of a decimal point.

4. A) 0.40 B)74.60 C)15.20

The tenth is one away to the right of the decimal.

5. A)1.210 B) 3.430 C)0.350

The hundreth is two away to the right of the decimal point.

Explanation:

If it is above 5 you bring the digit before it up by one, if it is under 5 you bring the digit that is under 5 to zero.

Answer:

The x-intercept of the graph tells you that as the "number of movie tickets" increase, the less balance Jeremiah has on his bank account.

Step-by-step explanation:

Behavior: The graph is in a downwards linear slope.

Look at the correlation between the x and y axis.

As x increases, y decreases

Step-by-step explanation:

( 0,-4) that the answer

Answer: 5.3

Step-by-step explanation: To solve this question, all you need to do is add the numbers together. 1.6+3.7=5.3

Answer:

the answer is5.3

Step-by-step explanation:

3.7+1.6=5.3

Answer:

Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.

Step-by-step explanation:

Transformations

The figure RSTU has been transformed in such a way that it mapped onto the figure R'S'T'U'.

There has been a translation and a reflection. Since the figure and its reflection are above the x-axis, one can guess the reflection is over the y-axis.

Let's reflect point T'(-3,4) over the y-axis. It maps to (3,4). The horizontal distance from this point to the original point T(5,6) is 2 and the vertical distance is 2. Thus, under this assumption, the transformations could be: translate 2 units down, 2 units left, and reflect across the y-axis.

Testing the rest of the points we get the same result, thus the transformations are:

Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.

Answer:

Slope of line A is 1/3

Equation of Line B is y = 2x + 4

Answer:

f(g(3)) = 3

Step-by-step explanation:

We are told to solve for f(g(3)). This is also saying f of g of 3.

To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).

g(x) = 3(3) - 4

Solve.

= 9 - 4

g(x) = 5

Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).

f(5) = 2(5) - 7

Solve.

= 10 - 7

f(5) = 3.

f(g(3)) = 3

#teamtrees #WAP (Water And Plant)

Answer:

Slope is -1/4

Step-by-step explanation:

Goes down 1 and over 4 so -1/4

Answer:

Second step: 2/2 does not give you 2.

It would be 2x + 1 - 4 = 3x - 3

Since he mess up on the second step, the following steps are also messed up

Answer:

b or d

Step-by-step explanation:

Answer:20 men

Step-by-step explanation: