Hello from MrBillDoesMath!
Answer:
Choice A, 1/4
Discussion:
Consider the perfect square
(x + a)^2 = x^2 + (2a)x + a^2
The constant term (a^2) equals 1/2 the coefficient of x (i.e. 2a), squared.
Let's apply this idea to x^2 + x
x^2 + x = => as 2 * 1/2 = 1
x^2 + ( 2 * 1/2)x =
( x^2 + (2* 1/2)x + ( 1/2) ^2 ) - (1/2) ^2 =
as constant term to add is 1/2 coefficient of x (that is, 1/2) and
(1/2)^2 - (1/2)^2 = 0
(x + 1/2) ^ 2 - (1/2)^2
In other words add the constant (1/2)^2 = 1/4, which is Choice A.
Thank you,
MrB
Answer:
54.1° (1 dp)
Step-by-step explanation:
Let the center point of the rectangle PQRS = M
Calculate the length of the line SM using Pythagoras' Theorem:
a² + b² = c²
(11/2)² + (7/2)² = SM²
42.5 = SM²
SM = √42.5 cm
The height of the pyramid is 9 cm, therefore, MT = 9
Now we have a right angled triangle with base SM and height MT and hypotenuse ST
We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM
tan TSM = MT/SM = 9/√42.5
TSM = arctan (9/√42.5) = 54.082088°
So the angle between the line ST and the plane PQRS = 54.1° (1 dp)
Answer:
20 -5(3t)
Step-by-step explanation:
t = time
I believe it’s b- it might not be correct I believe
Answer:
(p = 8 and r = 
are given for confusions. We don't need it.)
