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Answer:
Step-by-step explanation:
For example,
<u>Solution: Finding a unit rate</u>
If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.
150÷20=7.5
So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:
7.5 minutes mile × 6 miles = 45 minutes
Thus it will take her 45 minutes to run 6 miles at this pace.
If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.
If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
<span> i think its -x+5/6x^2-x-12 but i might be wrong.....</span>
Answer:
397
Step-by-step explanation:
write an equation:
x = logan
y = marcus
z = janet
x = 2y
z = 1/3y+8
y = 243
x = 2 * 243
x = 486
z = 1/3 * 243 + 8
z = 89
logan = 486 contacts
marcus = 243 contacts
janet = 89 contacts
486-89 = 387
logan has 397 more
In the figure assume that the circle are mutually tangent and that the circle with centre at A has radius 1. The lines AB and AC are tangent to the circle with centre O at B and C respectively. If the area of the shaded region is π/4, the radius of the circle centered
Let, ∠CAB=θ
Then, area of sector,
360
θ
π(1)
2
=
4
π
θ=90
∘
Now, the line joining the centre of the circle bisects the angle formed between two tangets, hence, ∠CAO=45
∘
Now, In △AOC
∠ACO=90
∘
(Angle between the tangent and the radius)
sin45=
AO
OC
2
1
=
r+1
r
r+1=r
2
r=
2
−1
1
(Rationalizing)
r=
2
+1
Step-by-step explanation:
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