Answer:
s = 2t₁ + t₂
3 possible combinations:
t₁ = 0 min , t₂ = 8 min
t₁ = 1 min , t₂ = 6 min
t₁ = 2 min , t₂ = 4 min
Step-by-step explanation:
The distance covered by a body in uniform motion is given by the following equation:
s = vt
where,
s = distance
v = speed
t = time
For running:
s = s₁
t = t₁
v = 2 miles/min
Therefore,
s₁ = 2t₁
For walking:
s = s₂
t = t₂
v = 1 miles/min
Therefore,
s₂ = t₂
And the total distance will be:
s = s₁ + s₂
<u>s = 2t₁ + t₂</u>
where,
s = total distance covered in miles
t₁ = running time in min
t₂ = walking time in min
Now, the total distance is given as 8 miles:
8 = 2t₁ + t₂
So, the 3 possible combinations of time to satisfy this equation can be:
<u>t₁ = 0 min , t₂ = 8 min</u>
<u>t₁ = 1 min , t₂ = 6 min</u>
<u>t₁ = 2 min , t₂ = 4 min</u>
Answer:
114
Step-by-step explanation:
The external angle measure is equal to the half of difference between the larger intercepted arc (5x-12) and the smaller intercepted arc (3x)
32 = (5x-12 -3x)/2
combine like terms in parenthesis and multiply both sides by 2
32·2 = 2x-12
multiply 32·2 = 64, and add 12 to both sides
64 + 12 = 2x
add 64+12 = 76, and divide both sides by 2 to isolate x
76/2 = x
38 = x
The measure of arc AB is 3x.
Substitute x for 38
Measure of arc AB = 3x = 3·38 = 114
Answer:
go ask your teacher
Step-by-step explanation:
Answer:
1 and 8 are parallel
5 and 14 are not parallel
2 and 3 are paralell
Step-by-step explanation:
Answer:
The scale of the drawing is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of an house on a scale drawing in square inches
y ---> the actual area of the house in square feet
we have
substitute
simplify
square root both sides
therefore
The scale of the drawing is
