9514 1404 393
Answer:
2
Step-by-step explanation:
I find it convenient to remember that a logarithm is an exponent.
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log₂(8) +log₃(1/3) = log₂(2³) +log₃(3⁻¹)
= 3 -1 = 2
The value of the expression is 2.
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Some calculators can compute this for you directly.
Answer:
9.2 ft
Step-by-step explanation:
The length of the ladder is 15 ft
The ladder makes an angle of 52° with the ground
The distance (x) from the base of the house to the foot of the ladder is given by;
= cos 52°
x = 15 × cos 52° = 9.23492213 ft
Which equals to 9.2 ft (rounded off to tenth of a foot)
Answer:
C) $3557.75
Step-by-step explanation:
First...
Use the equation SI = PRT/100 or (simple intrust is equal to principle*rate*time divided by 100).
(53500*13.3*0.5)/100
Next...
Mutiply
355775/100
Finally...
Divide
355775/100 = 3557.75
So the answer is...
$3557.75
Answer:
11. MN = 4 m
12. LK = 8 m
Step-by-step explanation:
11. Apply pythagorean theorem to find MN:
MN = √(5² - 3²) = √(25 - 9) = √16
MN = 4 m
12. Recall: The ratio of the corresponding side lengths of any two given similar triangles are equal.
MN corresponds to LK
MO corresponds to KO
Therefore:
LK/MN = KO/MO
LK/4 = 10/5
LK/4 = 2
Multiply both sides by 4
LK = 2*4
LK = 8 m
Angle Z = Angle Q
Angle P = Angle Y
NQ = XZ
YZ = PQ
Angle X = Angle N
PN = YX
