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2 years ago

A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3.645 grams. What is the density of this cube?

Mathematics

1 answer:

ehidna [41]2 years ago

8 0

Answer:

$density = \frac{mass}{volume}$

mass = 3.645 g

volume = 9×9×9

= 729 cm³

density = 3.645/729

= 0.005 gcm^-3

Step-by-step explanation:

the volume is 729 cm³ cause the given height is 9cm and it is a cube. cube has equal sides so their lengths are the same.

volume = length × height × width

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Jackson’s age was 2/fifth of the age he will be 20 years from now seven years ago. How old is Jackson now?

Margaret [11]

Let's say Jackson's age now is x.

In 20 years, (so 20+x), Jackson seven years ago will be 2/5ths of that age.

So 2/5(20+x)=x-7

Then you solve the equation
8+2/5x=x-7
15=3/5x
x=25
Jackson is 25 years old.

Let's check our answer! In 20 years, Jackson will be 45. 7 years ago, he was 18. 2/5 of 45 is 18. Our answer is correct!

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3 years ago

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A gift box is a rectangular prism. The box measure 8 inches by 10 inches by 3 inches. What is it’s surface area?

MakcuM [25]

Answer:

the answer is 80 i think

Step-by-step explanation:

bc dependng on 2lw+2lh+2hw, formula 8 and 10 would be length and width

Lets say

8=width

10=lenght

3in=height

u would do

2 x l x w + 2 x l h + 2 x h x w=

2 x 10 x 8 + 2 x 10 x 3 + 3 x 8=

160 + 60 + 48+=

268 is the sa

pls brainliest and more points :0

8 0

3 years ago

Find the volume of the cone.

8_murik_8 [283]

Answer:

$V=471\ \text{units}^3$

Step-by-step explanation:

Given that,

Radius of the cone, r = 5 units

Height of the cone, h = 6 units

We need to find the volume of the cone. The formula for the volume of the cone is given by :

$V=\pi r^2 h$

Substitute all the values,

$V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3$

So, the volume of the cone is $471\ \text{units}^3$ .

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2 years ago

A concert hall has 12 seats in the first row, 14 seats in the second row, 16 seats in the third row, and so on. If the pattern c

Marrrta [24]

Given:

The number of seats in the first row is <em>a</em>₁ = 12.

The series of the increasing number of seats is 12, 14, 16......

The objective is to find the total number of seats in the first 12 rows.

Explanation:

The difference between the number of seats in each row can be calculated by the difference between the successive terms of the series.

$\begin{gathered} d=14-12=2 \\ d=16-14=2 \end{gathered}$

The number of rows to be calculated is <em>n</em> = 12.

To find the number of seats:

The number of seats presents in the first 12 rows can be calculated as,

$S_n=\frac{n}{2}\lbrack2a_1+(n-1)d\rbrack$

On plugging the obtained values in the above equation,

$\begin{gathered} S_{12}=\frac{12}{2}\lbrack2(12)+(12-1)2\rbrack \\ =6\lbrack24+11(2)\rbrack \\ =6(46) \\ =276 \end{gathered}$

Hence, the total number of seats in the first 12 rows is 276.

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11 months ago

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castortr0y [4]

Answer:

graph like this:

Step-by-step explanation:

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