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3 years ago

What is the length of a diagonal of a cube with a side length of 3 cm?

Mathematics

1 answer:

hodyreva [135]3 years ago

4 0

The answer to that question is 27 cm

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The circumference of the inner circle is 66 ft. The distance between the inner circle and the outer circle is 44 ft. By how many

Ray Of Light [21]

Answer:

276 4/7 ft

Step-by-step explanation:

Let r1 represent the radius of the inner circle. Then its circumference in feet is ...

C = 2πr

66 = 2π(r1)

If the radius of the outer circle is (r1 +44), then its circumference is ...

C = 2π(r1 +44) = 2π(r1) +2π(44)

C = 66 +88π

Then the difference in the circumferences is ...

(66 +88π) - (66) = 88π

Using the given value of π, the difference in circumferences is ...

(88 ft)(22/7) = 1936/7 ft = 276 4/7 ft

6 0

3 years ago

The figure below is composed of two right angles. what is the area of the figure in square inches?

Akimi4 [234]

Answer:

Step-by-step explanation:

16 square inches. when u do multiply you just get it so yeah

8 0

3 years ago

Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) Write out the first 5 terms of this sequence,

creativ13 [48]

Answer:

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by $a_0=0$ $a_n=a_{n-1}+3n-1$

To find : Write out the first 5 terms of this sequence ?

Solution :

$a_n=a_{n-1}+3n-1$ and $a_0=0$

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

$a_1=a_{1-1}+3(1)-1$

$a_1=a_{0}+3-1$

$a_1=0+2$

$a_1=2$

For n=2,

$a_2=a_{2-1}+3(2)-1$

$a_2=a_{1}+6-1$

$a_2=2+5$

$a_2=7$

For n=3,

$a_3=a_{3-1}+3(3)-1$

$a_3=a_{2}+9-1$

$a_3=7+8$

$a_3=15$

For n=4,

$a_4=a_{4-1}+3(4)-1$

$a_4=a_{3}+12-1$

$a_4=15+11$

$a_4=26$

For n=5,

$a_5=a_{5-1}+3(5)-1$

$a_5=a_{4}+15-1$

$a_5=26+14$

$a_5=40$

The first 5 terms of the sequence is 2,7,15,26,40.

5 0

3 years ago

Find the length of each arc<br> r=13 ft x=90 degrees

VladimirAG [237]

Answer:

$13\pi/2$

Step-by-step explanation:

The formula of the circumference of a circle is $2\pi r$ .

The length of an arch can be found by using the ratio of circumference to the arc.

First, find the circumference of the circle:

$2\pi *13=26\pi$

Then you find the ratio:

The length of the arc is 90/360, which is 1/4, of the circumference.

Finally, find the length of the arc:

$26\pi*1/4=(13/2)\pi$ or $13\pi/2$

I hope this helps :)

6 0

3 years ago

Point G lies between points F and H on FH.

dlinn [17]

Answer: x=3 ==> 1st option

Step-by-step explanation:

FH=FG+GH

18=4x+2x

6x=18

x=3 ==> 1st option

8 0

2 years ago