Answer:
distance = 994.75 miles
Step-by-step explanation:
given data
City A = 36°6′ = 36° + 
= 36.1° = 36.1° × 
= 0.6297 rad
City B = 21°42′ = 21° + 
= 21.7° = 21.7° × = 0.3785 rad
multiply by π/180 to convert the degree to radian
radius of Earth = 3960 miles
to find out
distance between City A and City B
solution
we first get here central angle between A and B city is
central angle between A and B city = 0.6297 rad - 0.3785 rad
and
now by arc length so we get distance
distance = 3960 miles × (0.6297 rad - 0.3785 rad )
distance = 994.75 miles
Ok, so here, we need to use the slope formula which is:
(y2 - y1)/(x2-x1)
y2 = 9
y1 = 5
x2 = x
x1 = 10
So:
(9-5)/(x-10) = -2
Now, we just solve for x,
9-5 = -2(x-10)
4 = -2x+20
2x = 16
x = 8
Answer:
C) y=x^2+x-6
Step-by-step explanation:
Looking at the first picture, the equation is way too high, thus A is incorrect
Looking at the second picture, the equation is also too high, thus B is incorrect
Looking at the third picture, the equation is at the graph, thus C is correct
Looking at the fourth picture, the equation is more at the right than at the left thus the equation is incorrect
Hope this helps!
Answer:
48 students.
Step-by-step explanation:
25% of total students = 12
suppose,
total students= x
so,
25% of x=12
(25/100)*x=12
25*x=(12*100)
x=1200/25
x=48
therefore,
x= total students= 48.
Answer:
369.7 mL of medication
Step-by-step explanation:
How many mL of medication are needed to last 10 days if the dose of medication is 2.5 tsp TID (three times a day)?
From the above question,
The dosage of the medication =
2.5 tsp 3 times a day
= 2.5 × 3 = 7.5 tsp per day.
Since
1 day = 7.5 tsp
10 days = x tsp
Cross Multiply
x = 10 × 7.5 tsp
x = 75 tsp of medication for 10 days.
Step 2
It is important to note that:
1 tsp = 4.929 mL
75 tsp = x mL
Cross Multiply
x = 75 × 4.929 mL
x = 369.669 mL of medication
Approximately = 369.7 mL of medication
