Determine the value of the expression given below. 121 / 2÷(−1 3/8)

8TH GRADE GEOMETRY:100 POINTS+BRAINLIEST: Please answer the question and explain how you did it. Also, please tell me what a "ra

tatyana61 [14]

Answer:

Option B 1 : 3

Step-by-step explanation:

Volume formulas & definitions:

To solve this problem, we must remember the formulas for volume of each shape:

$V_{cylinder}=\pi r^2h\\V_{cone}=\frac{1}{3} \pi r^2 h$ where r represents the radius of the circular part of the shape, and h represents the height of the shape (the plural of height is "heights", and the plural of radius is "radii")

So, when the question states that the shapes "have congruent heights and radii" it means that the height of both objects is the same, and the radius of both objects is the same.

Ratios

To find the ratio of the volume of the cone to the volume of the cylinder, we must setup the ratio. Ratios can be setup as a fraction where the first quantity is the numerator (top of fraction), and the second quantity is the denominator (bottom of the fraction):

$\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3} \pi r^2 h} {\pi r^2 h}$

Since the pi, the "r", and the "h" are the same in both the numerator and denominator (and since there is only multiplication & division in the fraction) these common factors can cancel, and reduce the fraction to the following:

$\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3}} {1}$

Any number divided by 1 doesn't change, so one-third divided by 1 is still one-third.

$\dfrac{V_{cone}}{V_{cylinder}}=\frac{1}{3}$

Other representations of ratios

Lastly, we must remember that a ratio an also be written with a colon symbol, where the numerator is written first, and the denominator is written second.

So, the ratio of the volume of the cone to the volume of the cylinder is:

1 : 3

7 0

2 years ago

Read 2 more answers

How can you show that a generalization is likely correct

gtnhenbr [62]

You can't prove that generalization is likely correct. It is told that generalization is never correct and some has told that generalization is sometimes correct, so I guess that would depend on your thoughts, opinions.
hope this helped!!
~Melany~ ;)

5 0

4 years ago

Please help I need it done right now

Lina20 [59]

Use the way that kids use i.e trial and error method .

Solution:-

The set given by

$\\ \rm\longmapsto \left\{32+n,\dfrac{n}{8},\sqrt{n+225}\right\}$

Lets understand

See the first term any natural value will make it natural .

Come to 2nd one.

n should be a multiple of 8 to make it whole.

Come to third one

n should be a number which makes the sum a perfect square by which we get a natural no.We have to solve it w.r.t to 2nd one

Lets think

Nearest squares to 225 are 196 and 289

We can't take 196 as we have to take a positive one other wise it will come in terms of i.

Take 289

$\\ \rm\longmapsto n+225=289$

$\\ \rm\longmapsto n=289-225=64$

Its divisible by 8 .

Rewrite the set

$\\ \rm\longmapsto \left\{64+32,\dfrac{64}{8},\sqrt{225+64}\right\}$

$\\ \rm\longmapsto \left\{96,8,\sqrt{289}\right\}$

$\\ \rm\longmapsto \left\{96,8,17\right\}$

Hence n=64

8 0

3 years ago

In one year the perseid metor shower had a metor appear every 1/5 5 minutes on average That same year the Leonid metor shower ha

olga55 [171]

In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?

Answer:

325,452 meteors

Step-by-step explanation:

We all know that :

We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes

SO, the total number of minutes in a year is :

365 × 24 × 60 = 525600 minutes

For Perseid meteor:

$1 + \frac{1}{5} \\ \\ = 1 + 0.2 \\ \\ = 1.2$

So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :

1 meteor - 1.2 minutes.

x meteor - 525600 minutes.

1.2x = 525600

$x = \frac{525600}{1.2}$

x = 438000

∴ 438,000 meteors fell during the Perseid shower.

For Leonid meteor shower:

$4 + \frac{2}{3} = 4.67$

So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

$4.67x = 525600$

$x = \frac{525600}{4.67}$

x = 112548

112,548 meteors fell during the Leonid Shower.

Finally , the numbers of more meteors that fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

5 0

4 years ago

If sally rolls a ball 8 yards in 6 seconds, how many miles per hour is that?

photoshop1234 [79]

Answer:

15

Step-by-step explanation:

4 0

3 years ago

Determine the value of the expression given below.​​​ 121 / 2÷(−1 3/8)

Determine the value of the expression given below. 121 / 2÷(−1 3/8)