Answer:
a} The image is congruent to the pre-image.
c} The image could be moved left or right.
d} The image could be moved up or down.
Step-by-step explanation:
i took the test
Answer:
the probability is 0.1143
Step-by-step explanation:
here are the details from the question you asked
number of people = 6
nuber of weapons = 6
number of rooms = 9
after narrowing it down to
3 people,3 weapons, and 6 rooms
= ⁶C₃ * ⁶C₃ *⁹C₆ / ²¹C₁₂
= 20 * 20 * 84 / 293930
= 33600/293930
= 0.1143
<u>The probability of making a random guess of the person who is guilty, weapon and location from this choices that have been narrowed down and the guess being correct is 0.1143</u>
We can solve this problem by stating that the summation
of momentums must be zero. That is, the momentum at one end of the pivot must
be equal to the momentum at the other end.
Momentum 1 = Momentum 2
Since Momentum is the product of Force and Distance, and
with this rule created, we can say that:
F1 * d1 = F2 * d2
Where,
F1 = 60 lbs
d1 = 2 inches from the pivot
F2 = unknown X
d2 = 3 inches from the pivot
Substituting to the equation to find for F2:
60 lbs * 2 inches = F2 * 3 inches
F2 = 40 lbs
<span>Therefore 40 lbs of upward force must be pushed to open
the valve.</span>
<span>Answer: B</span>
S5=10 means the 5th number is 10.
So the arithmetic sequence is s1, s2,s3, s4, 10
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
