Answer:
Step-by-step explanation:
m<ABC=90 because of Angle inscribed in Semicircle Theorem
Answer:
<h2>864 cm²</h2>
Step-by-step explanation:
The formula of a volume of a cube:
<em>s</em> - <em>edge</em>
We have
Substitute:
![s^3=1728\to s=\sqrt[3]{1728}\\\\s=12\ cm[/texbecause[tex]12^3=1728](https://tex.z-dn.net/?f=s%5E3%3D1728%5Cto%20s%3D%5Csqrt%5B3%5D%7B1728%7D%5C%5C%5C%5Cs%3D12%5C%20cm%5B%2Ftex%3C%2Fp%3E%3Cp%3Ebecause%3C%2Fp%3E%3Cp%3E%5Btex%5D12%5E3%3D1728)
The formula of a surface area of a cube:
(6 square faces of a cube)
Substitute:
Answer:
c = 49/4
Step-by-step explanation:
The given expression is x^2 - 7x + c
This trinomial must be a perfect square.
Therefore, c must be a prefect square number.
So b^2 - 4ac = 0. That is discriminant must be equal to zero.
In the given expression a =1 and b = -7
Now plug in these values in the discriminant formula.
(-7)^2 - 4*1*c = 0
49 -4c = 0
4c = 49
c = 49/4
x^2 - 7x + 49/4 = (x - 7/2)^2
which is perfect square trinomial.
Thank you.
Answer:
hope it helps..
Step-by-step explanation:
1- Indicate on the x-axis the boundaries defined by the intervals on each piece of the domain.
2- For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece.
Answer:
Emily has 20 students and Santiago has 18 students in home rooms
Step-by-step explanation:
to figure out the number in Emily's class we need to answer this question - '15 is 75% of what number'?
we can use:
is/of = %/100
is = 15
of = 'n'
75% = 75/100 or 3/4
15/n = 3/4
cross-multiply to get:
3n = 60
n = 20
So there are 20 students in Emily's home room
Now we find the number of students in Santiago's home room:
the question is - '12 is 2/3 of what number'?
we can write this equation:
12 = 2/3n
multiply each side by 3/2 to get:
36/2 = n
18 = n
18 students in Santiago's home room
