Answer:
m^2
Step-by-step explanation:
You only need the surface area, which means you will not use cubed (^3). But the surface area is two dimensions (length and width). SO you must use m^2.
Answer:
(c) 0
Step-by-step explanation:
Each of the terms in the expression represents a different transformation of a different trig function. Expressing those as the same trig function can make it easier to find the sum.
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We can start with the identity ...
cos(x) = sin(x +π/2)
Substituting the argument of the cosine function in the given expression, we have ...
cos(π/2 -θ) = sin((π/2 -θ) +π/2) = sin(π -θ) = -sin(θ -π)
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The first term, sin(π +θ), is a left-shift of the sine function by 1/2 cycle, so can be written ...
sin(π +θ) = -sin(θ)
The second term is the opposite of a right-shift of the sine function by 1/2 cycle, so can be written ...
cos(π/2 -θ) = -sin(θ -π) = sin(θ)
Then the sum of terms is ...
sin(π +θ) +cos(π/2 -θ) = -sin(θ) +sin(θ) = 0
The sum of the two terms is identically zero.
The law of cosines is used for this purpose. It tells you
c² = a² + b² - 2ab×cos(C)
Solving for the angle C gives
C = arccos((a² + b² - c²)/(2ab))
C = arccos(( 17² + 15² - 19²)/(2×17×15))
C = arccos(153/510)
C ≈ 72.5424°
The measure of the angle opposite the longest side is about 73°.
Answer:
4,020
Step-by-step explanation:
mean = average
- Ideally, in order for us to have a 3,700 pound average, each of the four trucks would be 3,700 pounds. Added up, we would have a total of: 14,800 pounds (3,700×4)
- Let's see how much pounds we already have:
- 3,250 + 3,890 + 3,640 = 10,780
Now we need to find how much pounds we are missing: 14,800 - 10,780 =
<h2>4,020
for the fourth truck</h2>
- Let's check: 3,250 + 3,890 + 3,640 + 4,020 = 14,800
- 14,800/4 = 3,700 pounds
<h3>Good job! I hope this helps</h3>
