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givi [52]
2 years ago
15

For the figure below the base area and the height has been provided. find the VOLUME

Mathematics
1 answer:
Inga [223]2 years ago
4 0

Answer:

Step-by-step explanation:

To find the volume of this solid, multiply the base area by the height:

V = (25 cm²)(4 cm) = 100 cm³

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PLEASE HELP ME !I NEED IT
Shalnov [3]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Which explanation can be used to derive the formula for the circumference of a circle?
Gelneren [198K]

Answer: The answer is the first explanation.


Step-by-step explanation:  We are given five different options and we are to select which explanation is correct to derive the formula for a circumference of a circle.

Let 'C' be the circumference and 'd' be the diameter of a circle. Now, we will write the ratio of the circumference to the diameter as

\dfrac{\textup{C}}{\textup{d}}.

Also, we know that

\dfrac{\textup{C}}{\textup{d}}=\pi.

And diameter of a circle is twice the radius, so

d=2r.

Therefore,

\dfrac{\textup{C}}{2\textup{r}}=\pi\\\\\Rightarrow \textup{C}=2\pi \textup{r}.

This is the formula for the circumference of a circle. Since this explanation matches exactly with the first option, so the correct option is

(a). Find the relationship between the circumference and the diameter by dividing the length of the circumference and length of the diameter. Use this quotient to set up an equation to showing the ratio of the circumference over the diameter equals to π . Then rearrange the equation to solve for the circumference. Substitute 2 times the radius for the diameter.


8 0
3 years ago
Help please <br><br>number 4, 5, 6, and 7​
FinnZ [79.3K]

Step-by-step explanation:

4. So, total time traveled is calculated by adding travel times in both directions.

From Detroit to Chicago, Charlie flew 300 miles at 150 miles per hour speed. That means that he traveled:

t1 = s / v1

t1 = 300 miles / 150 miles per hour

t1 = 2 hours

Now, let's do the same for the opposite direction. Since it's the same distance, he again flew 300 miles, but the speed this time was 100 miles per hour:

t2 = s / v2

t2 = 300 miles / 100 miles per hour

t2 = 3 hours

So, total time he traveled was t1 + t2 = 2 hours + 3 hours = 5 hours.

For the trip distance we need to add distances in both directions. We already said that the distance is the same, so the total trip distance is 300 miles + 300 miles = 600 miles.

Displacement shows how far are the ending and the starting point. Since Charlie started from Detroit, flew to Chicago, and then came back to Detroit, his ending point is the same as the starting, so the displacement is 0.

We can calculate average speed by dividing total distance with the total travel time. We already found that the total trip distance was 600 miles, and the total travel time was 5 hours. That means that:

v(average) = s(total) / t (total)

v(average) = 600 miles / 5 hours

v (average) = 120 miles per hour

As for the average velocity, we calculate it by dividing displacement by total travel time. Since the displacement was 0, average velocity will also be 0.

5. From the left graph we see that the object went from 0 to 2 meters (it moved 2 meters) in 1 second. That means that its speed was:

v1 = s1 / t1

v1 = 2 meters / 1 second

v1 = 2m/s

From there, it went from 2 to 4 meters (it moved 2 meters) in the next 4 seconds. That means that its speed, during that interval, was:

v2 = s2 / t2

v2 = 2 meters / 4 seconds

v2 = 0.5 m/s

So, our graph will show, for the first second, velocity of 2m/s, and for the next four seconds, the velocity of 0.5 m/s.

6. Again, when calculating speed, we use the equation:

v = s / t

In this case, the distance (s) is 325 miles and the time (t) is 5 hours. So, the speed will be:

v = 325 miles / 5 hours

v = 65 mph

7. Now, we have the same distance (s) of 325 miles ant the speed (v) of 70 mph. We want know how long will the drive take:

t = s / v

t = 325 miles / 70 mph

t = 4.64 hours.

6 0
3 years ago
What is the equation of a line passing through (-3,7) and having a slope of -1/5?
g100num [7]
We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.

We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b

To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.

7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
b = 6 2/5

So, the y-intercept will be at 6 2/5.
4 0
3 years ago
Madison read 1/2 of a book in the morning, and she read some more at night. By the end of the day she still had 2/5 of the book
chubhunter [2.5K]

Answer: 1/10

Step-by-step explanation:

At the end of the day, she still had 2/5 of the book to read. Which meant that she had read 3/5 of the book. Since she read 1/2 of the book in the day, we would read 3/5 - 1/2 = 6/10 - 5/10 = 1/10 of the book at night.

3 0
3 years ago
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