Answer:
Step-by-step explanation:
<u>Equations</u>
We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:
Rearranging
Factoring:
There are two solutions:
The second case requires us to find the value of x such that
Rearranging
This second-degree equation has no real roots. We'll offer the imaginary (complex) solutions:
Answer:
Opposite angles are right angles.
Step-by-step explanation:
There are no right angles in a parallelogram.
Answer:
see attached
Step-by-step explanation:
Here's your worksheet with the blanks filled.
__
Of course, you know these log relations:
log(a^b) = b·log(a) . . . . . power property
log(a/b) = log(a) -log(b) . . . . . quotient property
log(x) = log(y) ⇔ x = y . . . . . . . . . equality property
The z-score is given by:
z=(x-μ)/σ
but
x-μ=52
thus
z=52/√84681
z=0.1787
Thus:
P(X≤52)=0.9633
Answer: 12√2 cm
<u>Step-by-step explanation:</u>
Cube 1: V = 6³ = 216
Cube 2: V = 8³ = 512
Cube 3: <u>V = 10³ = 1000</u>
New Cube: V = 1728
1728 = s³
12 = s
So, each side of the new cube is 12 cm.
Use Pythagorean Theorem to find the length of the diagonal:
12² + 12² = diagonal²
144 + 144 = diagonal²
288 = diagonal²
√288 = diagonal
12√2 = diagonal
