The cost (c) for g number of gelato ice cream is shown in the table. Complete the table and graph the proportional relationship between the number of gelatos purchased and the total cost.

g c
2 8
5
6
8

Given:

The radius of the circle X is XY.

Coordinates of X are (0,3) and coordinates of Y are (-3,-1).

To find:

The area of the circle.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).

[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]

[tex]XY=\sqrt{(-3)^2+(-4)^2}[/tex]

[tex]XY=\sqrt{9+16}[/tex]

[tex]XY=\sqrt{25}[/tex]

[tex]XY=5[/tex]

The radius of the circle is 5 units.

The area of the circle is:

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get

[tex]A=(3.14)(5)^2[/tex]

[tex]A=(3.14)(25)[/tex]

[tex]A=78.5[/tex]

Therefore, the area of the circle is 78.5 square units.

Answer:

first option

Step-by-step explanation:

y = 1/4x - 5/4

this line has a slope of 1/4 and a y-intercept of -5/4

Answer:

-0.9

Step-by-step explanation:

-0.9 × 100 = -90

answer : -90 = -100+x → x = 10

explanation : to solve for x, you are simplifying both sides of the equation, then isolating the variable.

step 1 : move the variable to the left-hand side and change its sign.

ex : -90-x = -100

step 2 : move the constant to the right-hand side and change its sign.

ex : -x = -100+90

step 3 : calculate the sum

ex : -x = -10

step 4 : change the signs on both sides of the equation

ex : x = 10

solution : x=10

hope this helps !

- audrey ♡

Answer:

(-3‚1) lies in second quadrant.

Answer:

I think it is 336.

Step-by-step explanation:

7 x 8 x 6 (Though my process could be wrong, I hope I'm correct)

Answer:

After those four plays, the Raptors gained 37 yards from the first play.

Step-by-step explanation:

Since the Raptors football team was losing when they got control of the ball at midfield in the last minute of a game, and they lost 25 yards on the first play they ran, but then they gained 5 yards on the second play, while on the third play, the Raptors gained 27 yards, and on the fourth play, they gained 30 yards, to determine what was the position of the ball relative to its starting point after those four plays the following calculation must be performed:

0 - 25 + 5 + 27 + 30 = X

-25 + 5 + 27 + 30 = X

-20 + 27 + 30 = X

7 + 30 = X

37 = X

Therefore, after those four plays, the Raptors gained 37 yards from the first play.

Answer:

p=20

6p=120

Step-by-step explanation:

Answer:

A: 6p = 120

Solution:

6 / p = 120 / 6

p = 20

dont forget to five-star and heart! ;)

Answer:

1. One solution

2. Infinitely many solutions

3. No solution.

Answer: [tex]\dfrac{5}{324}[/tex]

Step-by-step explanation:

Given

Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]

So, the probability that the car does not have transmission is

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]

Answer:

The volume of the prism is not equal to the volume of the cylinder.

Step-by-step explanation:

I took the test and it was right

If the base area of a triangular prism and a right cylinder are congruent then the volume of both can not be the same.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The cross-sectional areas of a triangular prism and a right cylinder are congruent.

The triangular prism has a height of 10 units, and the right cylinder has a height of 7 units.

The volume of the triangular prism will be

[tex]\rm Triangular \ prism \ volume = \dfrac{1}{2} \times a \times b \times 10\\\\\rm Triangular \ prism \ volume = 5ab[/tex]

Where a is the height of the triangle and b is the base of the triangle.

The volume of the right cylinder will be

[tex]\rm Right \ cylinder \ volume = \pi \times r^2 \times 7\\\\\rm Right \ cylinder \ volume = 22\ r^2[/tex]

Where r is the radius of the base circle.

If the base area of a triangular prism and a right cylinder are congruent then the volume of both can not be the same.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer:

3x - (15 x 3) = 90

or

3x - 45 = 90

Explanation:

there are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45

Therefore the first part is 3x - 45

We also know that in the end we have 90 left.

So our final equation is:

3x - 45 = 90

Answer:

[tex]\frac{a}{25}[/tex] That is the answer if you're finding the exact form...

Step-by-step explanation:

Simplify the expression

Answer:

angle EGF = 100°

Step-by-step explanation:

here's your solution

==> angle DGE = angle AGB. [ vertical angle]

==> angle DGE = 30°

==> angle ( FGE + EGD + DGC) = 180° [ linear pair]

==> 2x + 30° + 50° = 180°

==> 2x = 180° - 80°

==> x = 100°/2

==> x = 50°

==> 2x = 100°

[tex]\huge\mathfrak\red{hope \: it \: helps...}[/tex]

Answer:

x = 17

Step-by-step explanation:

(17+1) 2 - 36 = 0

If you don't think this is right, you may clarify it by plugging it in and multiplying :) thank you for your time <3

Answer:

x=17

Step-by-step explanation:

Answer:

0.5 seconds

Step-by-step explanation:

Equation: h(t) = -5t²+5t=10

Where h(t) is in meter, t is in seconds.

The driver will reach maximum height when d[h(t)]/d(t) = 0

From the equation,

d[h(t)]/d(t) = -10t+5

Therefore,

-10t+5 = 0

Solve for t

-10t = -5

10t = 5

t = 5/10

t = 0.5 seconds.

Hence the height will be maximum in 0.5 seconds.

Answer:

915 in²

Step-by-step explanation:

The area of the rectangle :

Length = 32 inches

Width = 25 - (10+10) = 25 - 20 = 5 inches

Area of rectangle = Length * width

Area = 32 * 5 = 160 in²

Area of triangle :

Base = 25 inches

Height = (46 - 32) inches = 14 inches

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 25 * 14 = 175 in²

Total area = (160 + 175)in² = 335 in²

Total area of cardboard :

50 inches * 25 inches = 1250 in²

Amount of cardboard not used :

(1250 - 335) in² = 915 in²

Answer:

A=4  

B=8  

C=6  

D=10  

SA=208    

Surface area=bh+(s1+s2+s3)H  

=6×8+(4+6+10)(8)  

=208

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

69.5

Step-by-step explanation:

Okay first, line them up from least to greatest. Luckily, you have already dont that. now start removimg numbers on each side to get the median.

61, 61, 62, 64, 66, 69, 70, 72, 73, 74, 78, 78

61, 62, 64, 66, 69, 70, 72, 73, 74, 78,

62, 64, 66, 69, 70, 72, 73, 74,

, 66, 69, 70, 72,

now you

Answer:

Step-by-step explanation:

Answer:

The x-intercepts of this quadratic function would be (-1, 0) and (4, 0).

Step-by-step explanation:

The x-intercepts of a function are where the graph of the function hits the x-axis on a coordinate plane, meaning the y-coordinate of an x-intercept would always be 0. In this quadratic function's graph, the parabola crosses the x-intercept at two points: (-1, 0) and (4, 0). So that would be the correct answer.

Answer:

As a fraction 1/1000 and as a decimal 0.001

Answer:

Kindly check explanation

Step-by-step explanation:

A.)

Differentiating based on the shape of the box and whisker plot.

The first plot, named shrella depicts a skewed distribution, (negative skew) highlighted by the long whisker (tail) to the left with the median also shifting towatds to the right of the box away from the box center. This could mean that the time difference between the coins aren't even and older coins seem to exhibit a larger time gap than newer coins.

The second plot however. VENITA, depicts a distribution which could be described as normal, as the whiskers are aodt of equal length and the median centered in the middle of the box. This could mean that Venita's coins are evenly spread out based time.

B.)

As for the overall spread, Shrella's plot covers a wider range, hence (larger spread) than Venita's plot. Thanks to the long whiskers in Shrella's plot.

For the spread within the boxes, Venita's plot has a larger within box spread than Shrella. With Venita's plot has a wider box tham Shrella's box plot.

C)

The appropriate measure of centre to be used is the median which is denoted by the vertical line in between the box. Shrella's plot has a median value of about 68 while Venita's has a median value of 60. The median value are still s bit close or similar.

Answer:

(5,7   6,2   4,8   1,3) and (7,1  5,3   4,8   6,2)

Answer: 5,7 6,2 4,8 1,3 7,1 5,3 4,8 6,2

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as a table or chart that shows the required data is not given.

To answer this, I will make use of the following frequency table

[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]

From the above table.

[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]

[tex]3\ miles \to 5\ students[/tex]

So:

[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]

[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]

From the above table.

[tex]1\ miles \to 10\ students[/tex]

[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]

So:

[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]

[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]

The difference (d) is then calculated by subtracting the number of students in both categories

[tex]d = 15\ students - 10\ students[/tex]

[tex]d = 5\ students[/tex]

Answer:

x ≈ 11.89

Step-by-step explanation:

Using the cosine rule

x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )

    = 16 + 81 - 72cos128°

     = 97 - (- 44.33 )

      = 141.33 ( take the square root of both sides )

x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )

Step-by-step explanation:

12*4 - 2*2

48 - 4

44 ft of carpet.