Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what is the measure of the third angle?

Answer:

((4x-6)^3)/(2(x+1))

Answer:

[tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]

Step-by-step explanation:

the difference of 4 times x and 6                         4x - 6

the cube of the difference of 4 times x and 6   [tex](4x - 6)^3[/tex]

the sum of x and 1                                                  x + 1  

2 times the sum of x and 1                                 2(x + 1)

the cube of the difference of 4 times x and 6      

divided by 2 times the sum of x and 1            [tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]

Therefore, the verbal description "the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1" translates to the expression below.

                                                   [tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]

Answer:

x = 9

Step-by-step explanation:

2 - x= -7

Subtract 2 from each side

2- 2 - x= -7-2

-x = -9

Multiply by -1 on each side

x = 9

Answer:

y=(-1/3) x - 3

Step-by-step explanation:

A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3.  Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6).  Distribute the -1/3 and get y+5= -1/3 x+ 2.  Subtract 5 from both sides and get y=-1/3 x - 3

Answer:

Step-by-step explanation:

The graph of a function and its inverse will always reflect through the line

y = x.

This is because a function has a specific set of coordiates, (x, y). That function's inverse has a set of coordinates that flips the x and y coordinates. For example, if a function has a set of coordinates (0, 1), (2, 3), (4, 5) then its inverse will have the coordinates (1, 0), (3, 2), (5, 4). If you plot the function's points and then the inverse's points in the same plane (meaning on the same graph) and connect the dots, you will see that the function and its inverse are reflections of each other through y = x. Below is an example of this. The dotted purplish line is the line y = x.

Answer:

I will answer this in English.

a) here you written 208 = (2^6)*3, while in the table you can see 5 times the number 2 and 2 times the number 3, this means that:

208 = 2^5*3^2

then we would have:

√208 = √(2^5*3^2) = 3*2*√2 = 6*√2

b) This time is correct that:

1568 = 2^5*7^2

but the simplification in the square root is not correct. (√(2^5) is not equal to 2^2)

as √(2^5*7^2) = √(2*2^4*7^2) = 2^2*7*√2 = 4*7*√2 = 28*√2

Answer:

Step-by-step explanation:

Answer:

1. Triangular prism

2. Trapezoidal prism

3. Pentagonal prism

4. Hexagonal prism

Answer:

its a

Step-by-step explanation:

Answer:

[tex]802[/tex]

Step-by-step explanation:

[tex]18^3=5832[/tex]

[tex]19^3=6859[/tex]

[tex]2018+2019+2020=6057[/tex]

[tex]6859-6057=802[/tex]

Check.

[tex]6057+802=6859[/tex]

[tex]\sqrt[3]{6859} =19[/tex]

Answer:

2019.

Step-by-step explanation:

Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.

x(x + 1)(x + 2)

= x(x^2 + 3x + 2)

= x^3 + 3x^2 + 2x ................(A)  

Now the perfect cube of x + 1 is:

(x + 1)^3 = x^3 + 3x^2 + 3x + 1

If we add x + 1 to (A) we get this expression so the answer is x + 1

= 2019.

Answer:

5^3*5^-7 = 1/5^4 b. is true = 625

5^3*5^-7 = 5^-4 c. is true = 625

Step-by-step explanation:

b. Left hand side

Simplify the following:

5^3/5^7

Combine powers. 5^3/5^7 = 5^(3 - 7):

5^(3 - 7)

3 - 7 = -4:

5^(-4)

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

Answer: 1/625

Right hand side:

Simplify the following:

1/5^4

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

Answer: 1/625

_____________________________

c. Left hand side (see above)

Right hand side:

Simplify the following:

5^(-4)

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

Answer: 1/625

Answer:

The answers are B and C. The other person is wrong.

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17

Answer:

The similarities are

1) Two triangles are similar when they meet either the (Angle Angle) AA, (Side Side Side) SSS or (Side Angle Side) SAS criteria

2) When two triangles meet either of the above similarity criteria they automatically meet the other similarity criteria

3) The ratio of their equivalent sides are equal such that when ΔABC is similar to ΔDCE we have;

AB/DC = AC/DE = BC/CE

The observed differences are

1) Triangles that meet the SAS and SSS Similarity Theorem criteria can be said to be congruent, that is they have both the same side sizes and angle sizes while triangles that meet only the AA Similarity Postulate criteria may or may not be congruent

2) The number of possible triangles formed by the SAS or SSS Similarity Theorem criteria is only one while the number of possible triangles formed by the AA Similarity Postulate criteria is infinite

3) A triangle that meets either the SAS or SSS Similarity Theorem criteria also meets the AA Similarity Postulate criteria

4) A triangle that meets either the AA Similarity Postulate criteria does not necessarily meet the AA Similarity Postulate criteria.

Step-by-step explanation:

The similarity postulates are;

The Angle Angle Similarity Postulate also known as AA

The Side Side Side Similarity Theorem also known as SSS

The Side Angle Side Similarity Theorem also known as SAS

Answer: See below

Step-by-step explanation:

When you see that something is to the power of a negative number, it is another way of saying 1 over.

[tex](2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}[/tex]

Answer:

A = P * a / 2

A = 81.25

Step-by-step explanation:

We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:

A = P * a / 2

In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:

P = 10 * 3.25

P = 32.5 meters

We replace:

A = 32.5 * 5/2

A = 81.25

Which means that for that regular decagon, the area is 81.25 square meters.

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

5.29

Step-by-step explanation:

Answer:3x^2-5x+2=0

Step-by-step explanation:

Format of a quadratic equation= ax^2 +bx+c

Let x=1 and 2/3

When x=1

x-1=0.......(1)

When x=2/3

x-2/3=0.........(2)

Compare the equations

(x-1)(x-2/3)=0

x^2-2/3x-x+2/3=0

x^2-5/3x+2/3=0

Multiply all terms by 3

3x^2-5x+2=0

Answer:

8. The y-intercept represents the 14 inches of snow 0 hours after midnight.

9. The slope indicates that the snow level increases 2 inches for every hour that passes after midnight.

10. 30 inches

Step-by-step explanation:

8. given in the text

9. given in the text

10.

[tex]y=2x+14[/tex]

[tex]y=2(8)+14[/tex]

[tex]y=30[/tex]

Answer:

Step-by-step explanation:

1. Ice Cubes

2. Dice

3. Sugar Cubes

5. Old Iron Lockers

6. Gift Box

7. Cube Building Blocks

Answer:

SSS

Step-by-step explanation:

ST = YA, SY = TA Given

AS = SA Reflexive property

ΔSTA ≅ ΔAYS SSS

Answer:

18 1/2

Step-by-step explanation:

1/2z = 9 1/4

1/2z = 37/4

z = 74/4 (Multiplied on both sides by 2 to get of the 1/2)

z = 18 1/2

Answer:

x= 1

Step-by-step explanation:

5x - 12 = x - 8

Subtract x from each side

5x -12 -x = x-8-x

4x -12 = -8

Add 12 to each side

4x-12+12 = -8+12

4x = 4

Divide each side by 4

4x/4 = 4/4

x = 1

Answer:

(x+3)(x-3)

Step-by-step explanation:

It is a difference of squares so it is sqrt of x^2 gives x and sqrt of 9 gives +3, -3.  So we get (x+3)(x-3).

Answer:

To solve this question, we just need to observe the given graph.

Each little square is equivalent to 0.5 units, so there are 5 students who fot more than 8. Specifically, 1 got 8 points and 4 students got 10.

There are 33 pupils in total, remember that each little square is equivalent to 0.5 units.

The assumption was that the majority of pupils scored less than 8.

Answer:

50+2x+y

Step-by-step explanation:

50 dollars plus 2dollars , x representing how many umbrellas are being rented, and y representing how many chairs are rented

Answer:18

Step-by-step explanation:because it was in the same column

Answer:

Its actually 24 because 4 times 6 is 24 and 12 times 2 is 24

Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.

Answer:

Below.

Step-by-step explanation:

Reading off the graph:

y-intercept  = (0, 2.5)

x-intercept = (3.5, 0)

Answer:

1) x =4/3 = 1  1/3

2) y = 10/3 = 3  1/3

3) y = 8

Step-by-step explanation:

y = x + 2/3

1) 2 = x+ 2/3

x = 2 - 2/3 =-6/3 -2/3

x = 4/3 = 1 1/3

2) 8/3 + 2/3 = y

y = 10/3 = 3 1/3

3) 22/3 +2/3 =y

y = 24/3 = 8

Answer:

y=z+2/3

y=2 => z=2-2/3= 4/3

z=8/3 => y= 8/3+2/3= 10/3

z=22/3 => y=22/3+2/3= 24/3= 8

Question

Which expression is equivalent to [tex]\frac{4mn}{m^{-2}n^6}[/tex]. Assuming [tex]m \neq 0; n\neq 0[/tex]

Answer:

[tex]\frac{4m^3}{n^5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4mn}{m^{-2}n^6}[/tex]

Required:

Simplify

To simplify this, we start by splitting each individual function

[tex]\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}[/tex]

From laws of indices

[tex]\frac{a^x}{a^y} = a^{x-y}[/tex]

SO, the above expression can also be expressed the same way

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}[/tex]

From laws of indices,

[tex]a^{-x} = \frac{1}{a^x}[/tex]

So,

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}[/tex]

Hence, [tex]\frac{4mn}{m^{-2}n^6}[/tex] is equivalent to [tex]\frac{4m^3}{n^5}[/tex]

Answer:

A

Step-by-step explanation:EDGE (not sure if im right let me know)