Answer: 48
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Explanation:
The keyword "of" means multiply
150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form
Putting those two facts together lead to...
150% of 32 = 1.5*32 = 48
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Another approach:
x% = x/100
150% = 150/100 = 1.5
150% of 32 = 1.5*32 = 48
The last step is identical as before, but the conversion of 150% is slightly different this time.
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Yet another approach:
100% of anything is itself
So 100% of 32 is 32
The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48
9514 1404 393
Answer:
4096∠0°
Step-by-step explanation:
The polar form of the base value is 2∠120°. Then the 12-th power is ...
(2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish
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I prefer the simpler notation r∠θ, rather than ...
r(cos(θ) +i·sin(θ)) or r·cis(θ) or r·e^(iθ)
You might not see this notation very often in areas outside of electrical engineering.
Answer:
Scammed
Step-by-step explanation:scammed
Answer:
The expression b/(a +b) does not exist when a = -b or b = -a
Step-by-step explanation:
The expression b/(a + b) does not exist if the denominator a + b = 0.
So, a = - b or b = -a.
So, the expression b/(a + b) does not exist when a = -b or b = -a.
When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.
When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.
So the expression b/(a +b) does not exist when a = -b or b = -a
Answer:
The right statement is sin(J) = cos(L) ⇒ answer D
Step-by-step explanation:
* Lets describe the figure
- LKJ is a right triangle, where K is a right angle
∵ m∠K = 90°
∵ LJ is opposite to angle K
∴ LJ is the hypotenuse
∵ LJ = 219
∵ KJ = 178
- By using Pythagoras Theorem
∵ (LJ)² = (LK)² + (KJ)²
∴ (219)² = (LK)² + (178)² ⇒ subtract (178)² from both sides
∴ (LK)² = (219)² - (178)²
∴ (LK)² = 16277
∴ LK = √16277 = 127.58
* Lets revise how to find the trigonometry function
# sin Ф = opposite/hypotenuse
# cos Ф = adjacent/hypotenuse
# tan Ф = opposite/adjacent
∵ LK is the opposite side to angle J
∵ LJ is the hypotenuse
∵ sin(J) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ sin(J) = 127.58/219 = 0.583
∵ LK is the adjacent side to angle L
∵ LJ is the hypotenuse
∵ cos(L) = LK/LJ
∵ LK = 127.58 , LJ = 219
∴ cos(L) = 127.58/219 = 0.583
∴ sin(J) = cos(L)
* The right statement is sin(J) = cos(L)
