2(3C + 2d) = I don’t understand
2 answers:
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Answer:
Hypotenuse = 14.1421 inches (rounded off to four decimal values)
Step-by-step explanation:
The legs of an isosceles triangle both measure 10 inches
Since the triangle is a right triangle,
We apply the Pythagorean Theorem to find the height of the hypotenuse
a² + b² = c²
a = 10 inches, b = 10 inches and (c) is the hypotenuse whose value we don't know.
So; 10² + 10² = c²
c² = 100 + 100
c² = 200
c = = 14.1421356237 inches
The hypotenuse is 14.1421 inches (answer rounded off to four decimal values)
Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
Answer:
see below
Step-by-step explanation:
The conversion factor in the box is the product ...
_____
The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.
Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).
To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.
When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.