Answer:
145
Step-by-step explanation:
six can go into eight once with a remainder of two, next you bring down the seven and you will get twenty seven, six can go into twenty seven four times six by four is 24,27 take away 24 is 3 then you bring down the one, six can go into 31 five times, six by five is 30, 31 take away 30 is one
Answer:
Distance between A and B is 5400 meters
Step-by-step explanation:
Consider "D" the letter to identify distance between A and B
Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:
Recall that distance equals the speed times the time:
distance= speed * time
First encounter:
100 * t = D - 80 * t
180 * t = D Equation (1)
Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .
Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:
100 *(t+6) = D - 75 * (t+6)
100 t + 600 = D - 75 t - 450
175 T + 150 = D Equation (2)
Now, let's equal equation (1) to equation (2), since D should be the same:
180 t = 175 t + 150
5 t = 150
t = 30
Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:
From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters
Answer:
#1: 5
#2: 
Step-by-step explanation:
Inverse of Pythagorean Theorem: c²-b²=a²
c² b² a²
13²- 12² = 25
= 5
Pythagorean Theorem: a²+b²=c²
a² b² c²
2² + 6² = 40
c =
Answer: z=x+2
Step-by-step explanation:
Answer:
The area of a circle is given by the formula
area=πr2
we have the value of π=3.14 , and the radius is taken from the diameter of the window (bottom edge), using the relation:
r=diameter
2r=362
r=18
By substituting these values to the formula of a circle, we now have:
area= (3.14 ) (18) 2
area=1017.36
But since the window is a semicircle, the area will have to be divided in half, therefore,
area of a semicircle =1017.362
area of a semicircle = 508.68
Thus the window's area is equal to 508.68 sq in.
