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Paladinen [302]

3 years ago

10

Planes Q and R are parallel. Explain how you know lines a and b are skew.

2 answers:

IrinaVladis [17]3 years ago

7 0

By definition, skew lines are a pair of lines that are not parallel but do not intersect each other either. Hence, the conclusion would be, the lines are non-coplanar. An example would two random lines drawn in the x and y axes in a cartesian plane, respectively.

mars1129 [50]3 years ago

5 0

Sample Response:

Skew lines are noncoplanar and do not intersect. Line a lies in plane Q and line b lies in plane R, so the lines are not coplanar. No other plane can be drawn through the lines, so they are not parallel. So, a and b are skew.

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Beth left school driving toward the lake one hour before tim. tim drove in the opposite direction going 6 mph slower than beth f

m_a_m_a [10]

Beth's speed was 60 mph.

<h3>What is speed?</h3>

The speed (commonly referred to as v) of an object in everyday use and kinematics is the magnitude of the change in its position over time or the magnitude of the change in its position per unit of time; it is thus a scalar quantity.
The distance traveled by an object in a time interval is divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero.
Velocity is not the same as speed.

To find what was Beth's speed:

Beth's data:

time = 2 hrs; rate = r mph; distance = r×t = 2r miles

Tim's data:

time = 1 hr; rate = r-6 mph; distance = r-6 miles

Equation:

distance + distance = 174 miles

So,

2r + r - 6 = 174
3r - 6 = 174
3r = 180
r = 60 mph (Beth's rate)
r-6 = 54 mph (Tims's rate)

Therefore, Beth's speed was 60 mph.

Know more about speed here:

brainly.com/question/4931057

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3 0

1 year ago

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

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Vaselesa [24]

Answer: 29 1/4

Step-by-step explanation:

Multiply and simplify to 29 1/4

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