Find the volume v of the described solid s. the base of s is a circular disk with radius 5r. parallel cross-sections perpendicul
1 answer:
(parallel cross-sections: "parallel" is a mistake)
The solid with circular bases, and square cross-sections perpendicular to the bases is a cylinder, whose height is equal to the diameter of a base circle.
Check the picture attached.
The radius is 5r, so the height=diameter=10r
Volume(cone)=S(base)*height=
(units cube)
Answer:
The solid with circular bases, and square cross-sections perpendicular to the bases is a cylinder, whose height is equal to the diameter of a base circle.
Check the picture attached.
The radius is 5r, so the height=diameter=10r
Volume(cone)=S(base)*height=
Answer:
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Answer:
4 possible outcomes
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
In this problem
<em>The probability of choose a blue card is </em>
substitute
<em>The probability of choose a green card is </em>
substitute
<em>The probability of choose a red card is </em>
substitute
<em>The probability of choose a yellow card is </em>
substitute
The sum of the probabilities of the 4 possible outcomes is equal to
----> represent the 100%
A diagram of parallelogram MNOP is attached below
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>