A point located at (6, -4) is reflected over the x-axis. What are the coordinates of the image?

(6, 4)
(-6, -4)
(-6, 4)
(-4, 6)

The time 8:30 can be written in two other ways using words: eight thirty and half past eight.

The time 8:30 can be written in two other ways using words as follows:

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The time 8:30 can be written in words as 'Half past eight' and 'Thirty minutes past eight'. These phrases show the same time but express it in different ways.

The time 8:30 can be written in two other ways using words. One way is to say 'Half past eight'. Another way is 'Thirty minutes past eight'. These phrases encapsulate the same time but offer variation in how the time can be expressed verbally or in writing.

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A dinner plate having a diameter of 7 in approximately is given.

The distance around a circle is called the circumference.It is the perimeter of the circle.

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.

Circumference is a special case of perimeter.

Circumference =[tex] \pi .d [/tex]

Given dinner plate has a diameter of 7 in.

Substituting d=7in we have:

Circumference = [tex] \pi (7)=3.14 (7)=21.98 in [/tex]

The volume of the cone changes by a factor of 27

How does the volume of the cone change

From the question, we have the following parameters that can be used in our computation:

Volume of a cone

The volume of a cone is calculated using

[tex]V = \frac13\pi r^2h[/tex]

When the radius and height are both tripled, we have

R = 3r

H = 3h

So, the new volume is

[tex]V_2 = \frac13\pi R^2H[/tex]

Substitute the known values into the equation

[tex]V_2 = \frac13\pi (3r)^2 * 3h[/tex]

Evaluate

[tex]V_2 = \frac13\pi 9r^2 * 3h[/tex]

So, we have

[tex]V_2 = \frac13\pi r^2h * 27[/tex]

Recall that

[tex]V = \frac13\pi r^2h[/tex]

So, we have

[tex]V_2 = 27V[/tex]

This means that the volume of the cone changes by a factor of 27

Question

How does the volume of a cone change if its radius and height are both tripled? A. 3 B. 9 C. 27 D. 81

Answer:

Classroom C

Step-by-step explanation:

all you do is add it then divide it by 5 and boom

Final answer:

By setting up equations based on the given information about the garden and the sidewalk around it, and then solving for the width, we find that the width of the garden is 5 feet, and its length is 10 feet.

Explanation:

Let's denote the width of the garden as w feet. Therefore, the length of the garden can be represented as w + 5 feet, since it is mentioned that the length is 5 feet longer than its width. Surrounding the garden, there is a 2-foot-wide sidewalk which affects the overall dimensions of the combined area (garden plus sidewalk). The width and length of this entire area would thus be w + 4 and w + 9 respectively, adding 2 feet on each side for the sidewalk.

To find the area of just the sidewalk, which is given as 76 square feet, we first calculate the area of the entire (garden plus sidewalk) rectangle, and then subtract the area of the garden. The equation for the area of the entire rectangle is (w + 4)(w + 9), and for the garden alone, it's w(w + 5). The difference between these areas gives us the area of the sidewalk:

(w + 4)(w + 9) - w(w + 5) = 76

Expanding and simplifying this equation gives us a quadratic equation to solve for w. Simplifying further:

w^2 + 13w + 36 - w^2 - 5w = 76

8w + 36 = 76

8w = 40

w = 5

Therefore, the width of the garden is 5 feet and the length is 10 feet (5 + 5).

A fraction is a way to describe a part of a whole. The correct option is B.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

Given that the number that is equivalent to 43/12 can be found as shown below.

43/12

= 3 ⁷/₁₂

= 3 + 7/12

= 3 + 0.58333333

= 3.58333333

[tex]= 3.58\overline3[/tex]

Hence, the correct option is B.

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You can use the given circumference of 132 feet to find the radius using the formula C=2πr. Once the radius is found to be approximately 21 feet, use the formula for the area of a circle, being A=πr², to calculate an area of approximately 1386 square feet.

To find the area of a circle when you know the circumference, you can use the formula for the circumference of a circle, which is C = 2πr (C is the circumference and r is the radius). From the circumference, we can find the radius.

Let's rearrange the formula for r: r = C / 2π .  Plugging in the given value, r = 132 / 2π approximately equals 21 feet.

Next, we use the area of a circle formula A = πr² and plug in the radius to calculate the area. Here, A = π * (21)^2 that gives us an area of approximately 1386 square feet.

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Vertical angles are formed when two lines intersect. The measure of the ∠1 when ∠1 and ​ ∠2 ​ are vertical angles is 63°.

Vertical angles are a pair of angles formed when two lines intersect each other, these angles are always opposite to each other and measure the same.

We know about the vertical angles, therefore, if the pair of angles ∠1 and ​ ∠2 ​ are vertical angles, then the measure of the two angles is equal.

Now, as it is given that the measure of the ∠2 ​is 63° and ∠1 and ​ ∠2, therefore,

∠1 =​ ∠2 = 63°

Hence, the measure of the ∠1 when ∠1 and ​ ∠2 ​ are vertical angles is 63°.

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Since, a bicyclist was traveling from the village to the railroad station with a speed of 15 mph and he was coming back to the village with a speed of 10 mph.

Let the time taken in traveling from village to the railroad station be 't' hours

Distance is calculated by the formula:

[tex] d= s \times t [/tex]

So, the distance traveled from village to the railroad station is:

[tex] d=15 \times t [/tex]

Since, the time taken in traveling from railroad station to the village is 1 hour more = 't+1' hours

So, the distance traveled from railroad station to the village is:

[tex] d=10 \times (t+1) [/tex]

Therefore, distance traveled from village to railroad station is equals to the distance traveled from railroad station to the village.

So, [tex] 15 \times t=10(t+1) [/tex]

[tex] 15t=10t+10 [/tex]

[tex] 5t=10 [/tex]

So, t=2

Therefore, distance from village to railroad station = [tex] 15 \times t [/tex]

= [tex] 15 \times 2 [/tex]

= 30 miles.

Therefore, the distance from village to railroad station is 30 miles.

The distance from the village to the railroad station is 30 miles

Speed is the ratio of distance to time taken. It is given by:

Speed = distance/time

Let d represent the distance from the village to the rail station.

When Going at a speed of 15mph, let us assume he spent a hour, hence:

15 = d/a

d = 15a

When coming at a speed of 10mph, let us assume he spent b hour, hence:

10 = d/b

d = 10b

Therefore:

15a = 10b

But it took 1 more hour for the bicyclist to get back to the village, hence b = a + 1, hence:

15a = 10(a + 1)

15a = 10a + 10

5a = 10

a = 2 hours

d = 15a = 15(2) = 30 miles

Therefore, the distance from the village to the railroad station is 30 miles

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Answer:

The shape of the points in the scatter plot resemble an increasing exponential equation.

Step-by-step explanation:

As you can tell it increases because it is going up on the graph.

The flat surfaces of a 3D shape are called faces.

The faces serve as the two-dimensional polygonal areas that define the boundaries of a 3D object. In geometry, for instance, a cube is a common 3D shape that has six faces, each of which is a square. Each face is bordered by edges, which are the straight lines where two faces meet, and the corners of the faces are known as vertices (or vertex in singular form).

Examining various 3D shapes, such as the tetrahedron, which has four triangular faces, and the octahedron with its eight triangular faces, provides a clearer understanding of how faces constitute the polyhedron's shape.