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3 years ago

What is the volume of this rectangular prism?2/5cm2/5cm2/5cm___cm3

Mathematics

1 answer:

torisob [31]3 years ago

3 0

Answer:

8/125cm3

Step-by-step explanation:

A=lxwxh

A=2/5 x 2/5 x 2/5

A=8/125cm

I hope this helps <3

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PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

5 0

4 years ago

Which statement is NOT a step used when constructing an inscribed hexagon?

den301095 [7]

Answer:

Swing two arcs above and below the radius.

Step-by-step explanation:

We want to determine which statement is NOT a step used when constructing an inscribed hexagon?

1. Swing two arcs above and below the radius. False

2. Draw a radius of the circle using a straightedge. True

3. Place the compass on the point where the circle and radius intersect. True

4. Swing an arc the length of the radius from the point on the circle. True

The first choice is the correct answer.

3 0

3 years ago

List down all the values of k<br>if; - 4≤ k ≤ 1

vekshin1

Answer:

All the values of k are -4, -3, -2, -1, 0 , 1

Step-by-step explanation:

Given;

- 4≤ k ≤ 1

The range of value of k is between -4 and 1.

These values are listed as follows;

k = -4, -3, -2, -1, 0 , 1

Therefore, all the values of k are -4, -3, -2, -1, 0 , 1

6 0

3 years ago

Explain why should record a 1 in the tens column when you regroup in an addition problem

daser333 [38]

Well you only do that when you are in the ones place and you have to regroup a 1in the tens place if you go past 19 then you are going to have to regroup a 2

8 0

4 years ago

136mm into cm and mm

Alex Ar [27]

Step-by-step explanation:

13.6 is the answer because 1cm is 10 cm

4 0

2 years ago

Read 2 more answers

What is the volume of this rectangular prism?2/5cm2/5cm2/5cm___cm3​

What is the volume of this rectangular prism?2/5cm2/5cm2/5cm___cm3