The cat will take 0.8 seconds to catch up with the mouse
Step-by-step explanation:
Given:
The distance between the cat and the mouse = 4 feet
cat's speed = 17 feet per second.
mouse's speed = 12 feet per second
To Find:
how long will it take the cat to catch up with the mouse = ?
Solution:
We know that
distance = speed x time
Rewriting the equation for time we get
time =
now we know that distance is 4 feet
and the speed is 17 -12 = 5 feet per second
Thus the time is
= 
= 0.8 seconds
Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°
104. 54+50. 6 times 9 equals 54. Ten times 5 equals 50.
Easy
so remember
4 aces in a deck
probability =(desired outcomes)/(total possible)
total possible=52
4/52=1st card
then since he picked 1 out the total possible is and assuming he drwe an ace 3/51
so the answer is 4/52 times 3/51=1/221
Answer:
Monday is a weekday, with which there would be 8 volunteers.
In turn, Saturday is a weekend day, with which there would be 5 volunteers.
2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.
Step-by-step explanation:
Given that there are 8 volunteers during the weekday and only 5 volunteers on the weekend, to determine how many volunteers do you have on Monday and Saturday the following logical reasoning must be carried out:
Monday is a weekday, with which there would be 8 volunteers.
In turn, Saturday is a weekend day, with which there would be 5 volunteers.
In turn, if you have 10 people who need help from the volunteers on Monday, to determine how many will not get helped if the ratio of volunteers to the person needing help is 1: 1 the following logical reasoning must be carried out:
10: 8
1: 1
10 - 8 = 2
Thus, 2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.
