How is 21\30 bigger then 2\3

Answers

Answer 1

Answer: To see how 2/3 is larger than 21/30, it helps to put them in terms of the same denominator. To do this, we can multiply 2/3 by 10/10, which gives us 20/30.

Now it is easy to see that 21/30 is indeed larger than 2/3, which is equal to 20/30.

Answer 2

Answer: 3x10=30
2x10=20, so 21 over 30 is a little bigger

Also

When you divide 21/30 you get 0.7 and when you divide 2/3 then you 0.66667 which shows that 21/30 is greater than 2/3

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Need help pleeeeeeeeeeeeeeease

A tree of 14mheight is broken by the wind so that it's top touches the ground. Find the length of broken part of the tree.

Answers

Answer:

7 m

Step-by-step explanation:

As the question is given, the tree is broken from the middle and the length of the broken part is:

14 m /2 = 7 m

So it is 7 m

Final answer:

To find the length of the broken part of the tree, use the concept of similar triangles and set up an equation. Solve the equation to find the length of the broken part.

Explanation:

To find the length of the broken part of the tree, we can use the concept of similar triangles. The height of the tree is 14m, and when it's broken, the top touches the ground, forming a right triangle with the remaining part of the tree. Let's call the length of the broken part x. Using the properties of similar triangles, we can set up the following equation:

14m / x = (14m - x) / x

Simplifying the equation, we get:

14m^2 - x^2 = 14m * x

Now, let's solve for x:

14m * x = 14m^2 - x^2

x^2 + 14m * x - 14m^2 = 0

This is a quadratic equation that can be factored:

(x - 14m)(x + m) = 0

So, x = 14m or x = -m. Since we are dealing with length, we can ignore the negative solution. Therefore, the length of the broken part of the tree is 14m.

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You are driving home on a weekend from school at 55 mi/h for 110 miles. it then starts to snow and you slow to 35 mi/h. you arrive home after driving 4 hours and 15 minutes. how far is your hometown from school

Answers

The distance between hometown and school is 188.75 miles.

Given that, the person drive 110 miles at 55 miles/hour.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula $S = (d)/(t)$ , where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Due to snow, speed is slow down to 35 miles/hour.

Let x miles be travelled with 35 miles/hour.

Total time taken to travel is 4 hours and 15 minutes.

Here, $T_1=(110)/(55)$ and $T_2=(x)/(35)$

Now, $T=T_1+T_2$

$(110)/(55)+(x)/(35)=4(15)/(60)$

$((110*7+x*11))/(385)=4(1)/(4)$

$((770+11x))/(385)=(17)/(4)$

$4(770+11x)=385*17$

$3080+44x=6545$

$44x=6545-3080$

$44x=3465$

$x=78.75$ miles

Total distance = 110+78.75

= 188.75 miles

Therefore, the distance between hometown and school is 188.75 miles.

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Final answer:

The total distance from school to the student's hometown is calculated as the sum of distances covered at different speeds. The student spends 2 hours at 55 mi/h, covering 110 miles, and then 2.25 hours at 35 mi/h, covering 78.75 miles, making up a total of 188.75 miles.

Explanation:

The question pertains to the concepts of distance, speed and time in mathematics. In this scenario, the student drives at a speed of 55 mi/h for 110 miles and then slows down due to snowfall and drives at 35 mi/h. From this information, we can calculate the time spent at each speed.

Firstly, since Speed = Distance / Time, we can rearrange to find Time = Distance / Speed. For the first stretch of the journey, the time is 110 miles / 55 mi/h = 2 hours.

It is given that the total journey takes 4 hours and 15 minutes which is equivalent to 4.25 hours. So, the time spent driving at 35 mi/h is 4.25 hours (total trip time) - 2 hours (first stretch) = 2.25 hours.

The distance covered when it was snowing can be found by multiplying this time by the slower speed: 35 mi/h * 2.25 h = 78.75 miles.

Therefore, the total distance from school to the student's hometown is the sum of the distance traveled at each speed: 110 miles (at 55 mi/h) + 78.75 miles (at 35 mi/h) = 188.75 miles.

Learn more about Distance calculations here:

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What is the volume of this sphere?Use 3.14 for pi and round to the nearest hundredth when necessary.

113.04 cm³

678.24 cm³

904.32 cm³

7234.56 cm³

Answers

Answer:

The volume of the sphere is $904.32\ cm^(3)$

Step-by-step explanation:

we know that

The volume of the sphere is equal to

$V=(4)/(3)\pi r^(3)$

In this problem we have

$D=12\ cm$ -----> given problem

Find the radius

$r=12/2=6\ cm$ ----> the radius is half the diameter

substitute

$V=(4)/(3)(3.14)(6^(3))=904.32\ cm^(3)$

PLEASE HELP ME PLASE HURRRY

Answers

Answer:

In summary:

- Axis of symmetry: Not determinable from the given information.

- X-intercepts: (-1, 0) and (1.5, 0).

- Y-intercept: Not determinable from the given information.

- Vertex: (-1, 4).

- Interval of decrease: (-∞, -1) and (1.5, ∞).

Step-by-step explanation:

To identify the axis of symmetry, x-intercepts, y-intercept, and vertex of a graph, we need to analyze the given information and graph:

1. Axis of symmetry: The axis of symmetry is a vertical line that divides the graph into two symmetric halves. It is represented by the equation x = h, where h is the x-coordinate of the vertex. Based on the given information, we don't have the equation of the graph or the value of h, so we cannot determine the axis of symmetry.

2. X-intercepts: X-intercepts are the points where the graph intersects the x-axis. These points have a y-coordinate of 0. From the given information, we have the x-intercepts as follows:

- First x-intercept: (-1, 0)

- Second x-intercept: (1.5, 0)

3. Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It has an x-coordinate of 0. From the given information, we don't have the y-intercept, so we cannot determine its value.

4. Vertex: The vertex is the highest or lowest point on the graph. It has an x-coordinate and a y-coordinate. From the given information, we have the vertex as follows:

- Vertex: (-1, 4)

Now, let's determine the interval in which the function is decreasing. To do this, we need to analyze the graph and observe where the graph is sloping downwards or decreasing. From the given information, we can see that the graph is decreasing in the interval (-∞, -1) and in the interval (1.5, ∞). These intervals represent the regions on the x-axis where the function is decreasing.

4/3v =12

Simplify your answer as much as possible.

Answers

$\frac { 4 }{ 3 } v=12\n \n \frac { 3 }{ 4 } \cdot \frac { 4 }{ 3 } v=\frac { 3 }{ 4 } \cdot 12\n \n v=\frac { 36 }{ 4 } \n \n v=9$

4/3v = 12
3/4 × 4/3v = 12 × 3/4
v = 9

Write an equation to represent this line in point slope and slope intercept form....need help please..thanks.

Answers

We can use rise over run to determine the slope is 5/8. Using this slope and the point (5,2) we can write the equation: y-2 = 5/8 (x-5)

Decimal form of 5/8 is .625 , so it could be written y-2 = .625*(x-5)

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