The answer to the question is 1.03
Answer:
162.06
Step-by-step explanation:
sorry i'm not the best an explaining but i'm confident in my answer.
the first thing to do is get rid of the ² in x²+y²=24, we do this by √24 which ≅4.90 (i rounded to the hundreth place)
then we have this
x-y=6
x+y=4.90
I am using the elmination method. To do that you need to get two letters to have the same coefficient (in 4x 4 is the coefficient) with oposite signs (one possitive one negitive)
In our equation here we see that the same coefficient is 0, and there is oposite signs for y. Therefore we can add the two equations and get
2x=10.9 (the y cancels out)
now we have a simple equation and all that is left is to solve it
10.9/2=5.45
x=5.45
Now we need to find y we do that by pluging the x value into one of the equations I choose the first one becasue its easiest.
(5.45)-y=6
y= - .55
now that we have both x and y plug them into the final equation (5.45)³-(-.55)³= 161.89-(-.17) =162.06
Therefore x³-y³≅162.06!
(if you have any questions or would like to debate the answer please let me know!)
Answer:
The volume of the rectangular pyramid is 80cm³
Step-by-step explanation:
To calculate the volume of a rectangular pyramid we have to use the following formula:
v = volume
w = width = 8 cm
l = length = 6 cm
h = height = 5 cm
v = (w * l * h) / 3
we replace the values that we know
v = (8cm * 6cm * 5 cm) / 3
v = 80cm³
The volume of the rectangular pyramid is 80cm³
Answer:

<h3><em>Topic </em><em>-</em><em> </em><em>Arithmetic</em><em> </em><em>Progression </em><em>(</em><em> </em><em>AP </em><em>)</em></h3>
- Given - <u>a </u><u>general </u><u>term </u><u>for </u><u>a </u><u>sequence.</u>
- To find - <u>the </u><u>1</u><u>5</u><u>0</u><u>t</u><u>h</u><u> </u><u>term </u><u>of </u><u>the </u><u>given </u><u>sequence</u>
so let's start ~
General term ,
= 3n + 10
let's consider certain values of n to get some information with us which will help us solve the problem further !
let's first consider , n = 1 ! then ,

now , let's consider n = 2

then , let's consider n = 3

hence ,
now we've with us an AP which is as follows -

from this Arithmetic Progression ,
we can know that
a = first term = 13
d = common difference = 16 - 13 = 19 - 16 = <u>3</u>
now ,

hope helpful :D
2^10=1024 since there are two choices for each of the 10 questions