Evaluate the numerical expression 3+4x6
2 answers:
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Answer:
1.
2.
a)
35 cm = 0.35 meters
11 dm = 1.1 meters
15 mm = 0.015 meters
b)
Volume = 0.005775 cubic meters
Mass = 15.5925 kilograms
Step-by-step explanation:
1.
We know
Density = Mass/Volume
Given
Mass = 90 kg
Volume = 0.075 cubic meters
The SI unit for density is kilograms per cubic meters. Our dimensions are just that, so we just need to plug in the numbers into the formula and get our answer. Shown below:
Density =
The Density of asphalt block =
2.
a)
We need to express 35cm, 11dm, and 15mm in meters
We know
100 cm = 1 meters, so
35 cm = 35/100 = 0.35 meters
We know 1 dm = 0.1 meters, so
11 dm * 0.1 = 1.1 meters
We know, 1mm = 0.001 meters, so
15 mm * 0.001 = 0.015 meters
b)
Volume of the Slab is length * width * height, in meters, that would be:
Volume = 0.35 * 1.1 * 0.015 = 0.005775 cubic meters
THe mass would be found by the formula:
Density = Mass/Volume
2700 = Mass/0.005775
Mass = 0.005775 * 2700 = 15.5925 kilograms
Answer: (a) IV (b) positive (c) (d) C (e)
<u>Step-by-step explanation:</u>
a) -
=
, which is located in Quadrant IV <em>per the Unit Circle. </em>
b) sec is . Cos is the x-coordinate. The x-coordinate inQuadrant IV is positive.
c) the reference angle is the angle from to 2π =
d) since the angle is below the x-axis and the reference angle is, then the angle is equal to
)
e) sec = ⇒ sec
=
=
=
=
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Answer: (a) (b) (0, -1) (c) A (d) -1
<u>Step-by-step explanation:</u>
a) -
=
-
=
b) is on the Unit Circle at (0, -1)
c) sin = which equals
on the Unit Circle.
d) sin is the y-coordinate. sin = -1