First Question:
Number of trapezoids - 6
Perimeter - 72
3 + 3 + 3 + 6 = <u>15</u>
3 + 3 + 3 + 3 + 6 + 6 = <u>24</u>
3 + 3 + 6 + 3 + 3 + 6 + 3 + 6 = <u>33</u>
15 + 24 + 33 = <u>72</u>
Second Question:
Number of cubes - 6
Surface area - 24 (probably 480 since it said <em>area</em>)
first cube - 6 ones
second cube - 8 ones
Third cube - 10 ones
you could do 6 + 8 + 10 = 24 or add up all the ones (1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1) and you will still get 24
(It said <em>area</em>, and area means to multiply so maybe its 6 x 8 x 10 = 480 and not 6 + 8 + 10)
Anyways have a good day/night :) I might be wrong, but I hope I helped at least a little
Answer:
Step-by-step explanation:
731² - 631² is the difference of squares.
731² - 631² = (731+631)(731-631) = 1362×100
therefore, 731² - 631² is divisible by 100
number of student attend the college are 3150
Step-by-step explanation:
the student teacher ratio is 35:2
let, there are 2x teachers
according to the problem,
2x = 180
or, x = 180/2
= 90
so number of students = 35 X 90 = 3150
Answer:
10
Step-by-step explanation:
To find the value of n we can write:
(n + n + 3 + n + 4 + n + 5 + n + 6 + n + 8 + n + 10 + n + 12 + n + 15) / 9 = 11
(9n + 63) / 9 = 11
9n + 63 = 99
9n = 36
n = 4
The median is n + 6 which is 4 + 6 = 10.
Answer:
Step-by-step explanation:
Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).
The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.
We identify the coefficients for the like terms, it comes
a = -2 and 16a = -32 (which is equivalent). So, we can write in 
.
The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.
And we can write in 
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
