:,))) what is the volume of the pyramid?

Answer:

[tex]\dfrac{\pi}{10}[/tex].

Step-by-step explanation:

All coterminal angles of an angle [tex]\theta[/tex] are defined as

[tex]\theta +2n\pi[/tex] or [tex]\theta + n360^{\circ}[/tex]

where, n is an integer.

The given angle is

[tex]\theta=-\dfrac{19\pi}{10}[/tex]

So, all coterminal angles of an angle [tex]\theta[/tex] are

[tex]-\dfrac{19\pi}{10}+2n\pi[/tex]

For n=1,

[tex]\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi[/tex]

[tex]\Rightarrow -\dfrac{19\pi}{10}+2\pi[/tex]

[tex]\Rightarrow \dfrac{-19\pi+20\pi}{10}[/tex]

[tex]\Rightarrow \dfrac{1\pi}{10}[/tex]

Since,  [tex]\dfrac{\pi}{10}[/tex]  between 0 and 2π, therefore,  the required coterminal angle is [tex]\dfrac{\pi}{10}[/tex].

Answer:

251.2 m

Step-by-step explanation:

Circumference = 2 x π x r

C = 2 x 3.14 x 40

C = 251.2

Circumference of a circle

The path or the boundary that encircles any shape is defined by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's outline is. The circle's perimeter is measured in this way. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it.

We take radius of the circle and pi to calculate the circumference of circle.

The formula of circumference of circle is 2πr.

R is radius of the circle and π is mathemetical constant which value approx 3.14

In the question it is given that the diameter of a wheel is 80m. So, radius is half of diameter, 40m.

So, the circumference = 2πr

                                     = 2 × 3.14 × 40 = 251.2m

Rider has to travel 251.2m to cover one complete rotation.

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Answer:

31

Step-by-step explanation:

Each pizza had 24 slices so 2 pizzas had 24+24 or 24x2 = 48  slices

If only 17 remains, 48-17 = 31 slices got eaten

Answer:

31 eaten

Step-by-step explanation:

She started with 2 pizzas with 24 slices each

2*24 = 48

17 slices were left

48 - 17 = 31

That means 31 were eaten

Answer:

2y + 18x = 2x(x + 9) ⇒ Graph II

3(y - 4) = 9x - 12-6 ⇒ Graph I

Step-by-step explanation:

Graph II is the only non-linear function since, correctly, it is written that it is not straight, i.e. it has a varying gradient/rate of change.

Answer:

Graph 2 is a curved graph and matches x^2 measured data.

Step-by-step explanation:

Answer: R={-6,-5,-1}

Step-by-step explanation:

If D= -2

substitute x for -2

f(x)= -2-4=-6

then do that for the rest

Answer:

A  -6 divided by (-3)

Step-by-step explanation:

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The expression which model the given statement is

" negative six is divided by negative 3"

The mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between is called expression.

According to the given question.

An arrow goes from 0 to -3. And then -3 to -6.

This shows that from 0 to -6 the line in divided into two parts. And each part is 3 units.

Therefore, the expression which model the given statement is

" negative six is divided by negative 3"

or [tex]\frac{-6}{-3}[/tex] which is equals to 2.

Hence, the required expression is -6/-3.

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Answer:

k = 3

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on both sides.

(2x - 1)(kx + 1) ← expand using FOIL

= 2kx² + 2x - kx - 1

Compare the coefficients of the x² term on both sides

2k = 6 ( divide both sides by 2 )

k = 3

Answer:

k= 6x-3/2x-1

Step-by-step explanation:

Answer:

D. (-3, 2)

Step-by-step explanation:

The original point is (3, -2)

The rule for reflecting across the x-axis is (x, y) -> (x, -y)

(3, -2) -> (3, 2)

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

(3, 2) -> (-3, 2)

We want to find the image of the point (3, -2) after two reflections.

The correct option is D: (-3, 2)

Now let's see how to solve this.

The first thing we need to do is describe the two reflections.

For a general point (x, y), a reflection across the x-axis will give the point (x, -y).

And a reflection across the y-axis will give the point (-x, y).

So, if we start with the point (3, -2).

Then we reflect this across the x-axis, it gives the point: (3, -(-2)) = (3, 2)

Now we have a reflection across the y-axis, it gives the point (-3, 2)

So the image of the point after the two reflections is (-3, 2), meaning that the correct option is D.

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Answer:

Look at the picture.

Step-by-step explanation:

Always remember to isolate than divide/multiply

Answer:

10 x^4 - 8x^5

Explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order. Ex. ax^2+ax+c

Then you would simplify

−2 x−5(x^2x^2)−2x4(x^2x^3)

Simplify each term

= 10 x^4 - 8x^5

Answer: Joe has initial amount of $12 ( when he played no game).

Step-by-step explanation:

Given: Joe took $12 to the arcade. Each game cost $.50 to play.

This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]

Here,

Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.

Since y-intercept gives the initial value of the function when x=0.

To find y-intercept , we out x=0 in funtion , we get

[tex]y=-0.50(0)+12=12[/tex]

So , y-intercept of this function is at y=12.

Meaning of the y-intercept in the terms of this problem :

Joe has initial amount of $12 ( when he played no game).

Answer:

y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.

Step-by-step explanation:

Note : The given equation is not correct.

It is given that Joe took $12 to the arcade and each game cost $0.50 to play.

This situation can be modeled with the equation

[tex]y=0.50x+12[/tex]

where, y is total cost of playing x games.

We need to find y-intercept.

Substitute x=0 in the above equation to find the y-intercept of the equation.

[tex]y=0.50(0)+12[/tex]

[tex]y=0+12[/tex]

[tex]y=12[/tex]

So, the y-intercept is 12.

Here y-intercept represents the total cost if the number of games is zero.

It means y-intercept shows the fixed cost of arcade, i.e., 12.

Answer:

10/19

Step-by-step explanation:

count how many is under 7.63

Answer:

It should be 24 cm^2

Step-by-step explanation:

there are 3 shape. 2 rectangles and a triangle

to find the area for the rectangle is length x width

to find the area of a triangle its 1/2 x base x height

the small rectangle

4*1.5=6

the bigger rectangle

3*4=12

the triangle

1/2*4*3

1/2*12=6

Add them all up and you get 24

Answer:

(X+1)^2+(y-2)^2=49

Step-by-step explanation:

Standard Equation of a circle: [tex](x-h)^{2} +(y-v)^{2}[/tex]=[tex]r^{2}[/tex]

Center: (-1,2)

Radius: 7

Equation would be: [tex](x+1)^2+(y-2)^2=49[/tex]

Answer:

27

Step-by-step explanation:

(9)to the 2 power is 81

81/3=27

Answer:  27

(n)^2/3      if n=9

Step-by-step explanation:

first, you do 9*9=81

secound, you put 81/3

third, then you divide 81/3=27

the answer is 27

Answer:

[tex]62[/tex]

Step-by-step explanation:

[tex]2x^2+15x-1[/tex]

[tex]2(3)^2+15(3)-1[/tex]

[tex]2(9)+15(3)-1[/tex]

[tex]18+45-1[/tex]

[tex]=62[/tex]

[tex]answer \\ = 62 \\ solution \\ x = 3 \\ 2 {x}^{2} + 15x - 1 \\ = 2 {(3)}^{2} + 15 \times 3 - 1 \\ = 2 \times 9 + 45 - 1 \\ = 18 + 45 - 1 \\ = 63 - 1 \\ = 62 \\ hope \: it \: helps[/tex]

Step-by-step explanation:

Let's plug the values in.

(18 * 1³ - 10²)² / 10 + 3 * 2 = (18 - 100)² / 16 = 6724 / 16 = 420.25.

Answer:

1 hour

Step-by-step explanation:

mph means miles per hour so in 1 mile it would be 1 hour

Answer:

D : This is because there are 8 outcomes and 2 events.

It cannot be C as C does not show true event outcomes on each H or T event.

Step-by-step explanation:

Tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin:

The coin has two faces: head and tail

possibility set = {H, T}

Number of total possible outcomes = 2

In a pyramid that has four sides labeled 1 through 4:

possibility set = {1, 2, 3, 4]

So a number of possible outcomes = 4

If the tossing a coin and rolling a fair number of pyramid

So the number of possible outcomes = 2×4 = 8

Thus, tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.

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Answer:

Step-by-step explanation:

[tex]\frac{8x}{7}=8[/tex]

Multiply both sides by 7

[tex]7*\frac{8x}{7}=8*7\\\\8x=8*7\\[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{8*7}{8}\\[/tex]

x = 7

Answer:

-The value of [tex]x[/tex]:

[tex]x = 7[/tex]

Step-by-step explanation:

-Solve for the value of [tex]x[/tex]:

[tex]\frac{8x}{7} = 8[/tex]

-Multiply both sides by the denominator, which is [tex]7[/tex]:

[tex]7\cdot \frac{8x}{7} = 8 \cdot 7[/tex]

[tex]8x = 56[/tex]

-Divide both sides by 8:

[tex]\frac{8x}{8} = \frac{56}{8}[/tex]

[tex]x = 7[/tex]

So, the value of [tex]x[/tex], would be [tex]x = 7[/tex].

Answer:

let’s find the area of the circle first.

The formula to find the area of the circle is 3.14 x r^2

3.14 x 0.5^2 = 0.785 cm^2

Lets find the area of the triangle.

the formula to find the area of the triangle is 1/2 x base x height

The height is found if you subtract the square of 5 from the square of 4.

5^2 - 4^2 = 9

the square root of 9 is 3.

1/2 x 8 x 3 = 12 cm^2

lets find the area of the rectangle

length x width

8 x 4.5 = 36 cm^2

then subtract the area of the circle from the area of the rectangle and then add the area of the triangle

36 - 0.785 + 12 = 47.215 (round it off to 47)

Answer:

C bc I believe u made a spelling error if not, D

Step-by-step explanation:

closer to 1 = more likeliness

If an event is likely to occur, the probability that the event will occur is between 3/4 and 1.

Probability determines how likely it is that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

If the probability lies between 0 and 1/5, it is likely that the event would not occur. If the probability lies between 1/5 and 1, it is likely that the event would occur.

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Answer:

0

Step-by-step explanation:

you open bracket you get 3w+6=6+3w you collect like terms

you get 3w-3w=6-6

answer o=o which is 0

Answer: -1.3125

Step-by-step explanation:

(-1/4 - 1/2) = -0.75

-0.75/[tex]\frac{4}{7}[/tex] = -1.3125

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)

From Rule 2:  Peter is across from Harvey.

Since Seat 5 is across from Seat 1

From Rule 7: Peter is next to Lia.

Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.

By Rule 5: Lia is next to Kenny, therefore:

From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.

Seat 7 is across from Seat 3, therefore:

Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)

Therefore, we have:

Seat 1: Peter

Seat 2: Lia

Seat 3: Kenny

Seat 4: Jennie

Seat 5: Harvey

Seat 6: Joyce

Seat 7: Rick

Since Mark has the remaining seat, Mark is on Seat 8.

Answer:

16 as 2 x 4 x 2 = 16

Step-by-step explanation:

just like on a dice we have 2 dice and 36 outcomes we multiply 6 x 6 to find it answers 36.

With Jason's outcomes he has 2 x 4 x 2 = 16

Answer:

16

Step-by-step explanation:

2 pants * 4 shirts * 2 shoes = 16

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