Answer:
2 Real Roots
Step-by-step explanation:
The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.
If D>0 there are two real roots, D=0 one real root and D<0 no real roots.
D = b^2+4ac
D = 10^2+4(-4)(-8)
D = 100+32*4
D = 100+128
D = 228
since 228>0
There are 2 real roots
The value of t that makes the factor e^(.032t) have the value of 2 can be found using logarithms.
2 = e^(0.032t)
ln(2) = ln(e^(0.032t)) = 0.032t
t = ln(2)/0.032 ≈ 21.66
It would take 21.66 years for the cost to double.
Answer:
169.23m
Step-by-step explanation:.
Let's calculate the base of the cliff. Using SOH CAH TOA identity
Height (opposite) = 142n
Angle of depression = 40°
Required
Base of the cliff
Tan theta = opposite/adjacent
Tan 40 = 142/x
x = 142/tan40
x = 142/0.8391
x = 169.23m
Hence the base of the cliff is 169.23m long
The answer is 118 cm³
The volume of tetrahedron (V), where a is its altitude, can be expressed as:


≈ 118 cm³
Answer:
see the attachment
Step-by-step explanation:
If the "transformed" figure looks exactly like the original, but is in a different place, it has been translated (trn).
If the transformed figure has the appearance you would see if you looked at the original in a mirror, it has been reflected (ref). All of these figures have been reflected left-right, so the transformation is not difficult to see.
If the transformed figure is one you would get if you stuck a pin in the original and turned the page 90° to the left (CCW), then it has been rotated (rot). All of these figures have the same 90° ccw rotation, so the transformation is not difficult to see.
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<em>Comment on the question</em>
Matching figures with translated/rotated/reflected versions of themselves is a common problem type on intelligence tests.