Answer:
The answer is 1.4 miles ⇒ answer (d)
Step-by-step explanation:
* Let the balloon is at the vertex A, and the soccer fields
at vertex B and the football field at vertex C
∴ m∠B = 20° 15' = 20.25°
∴ m∠C = 62° 30' = 62.5°
∴ m∠A = 180 - 20.25 - 62.5 = 97.25°
∵ BC = 4 miles
* By using the sin Rule:
∵ AC/sin(B) = BC/sin(A)
∴ AC = (BC)(sinB)/sin(A)
∴ AC = [4 × sin(20.25)] ÷ sin(97.25) = 1.395 ≅ 1.4 miles
∴ The distance from the balloon to the football filed = 1.4 miles
Answer:
x = 3
y = -3
Step-by-step explanation:
We have two equations and are asked to solve for x and y.
y = -3x + 6
3y = -2x - 3
Substitute the y in the first equation in the second equation :
3(-3x + 6) = -2x - 3
Distribute :
-9x + 18 = -2x - 3
Solve for x by isolating it :
Subtract 18 from both sides :
-9x = -2x - 21
Add 2x to both sides :
-7x = -21
Divide -7 from both sides :
x = 3
Replace x in the first equation :
y = -3(3) + 6
y = -9 + 6
-9 + 6
y = -3
Answer:
12 days
Step-by-step explanation:
Set up an equation with y = mx + b, where m is the rate and b is the y-intercept (starting value)
Let x represent how many days it takes and y represent how many pages he read:
445 = 24x + 157
Solve for x:
288 = 24x
12 = x
So, it will take him 12 days to finish the book
How the help does a duck drive? It might be 24 if you do 72/3= 24
Answer:
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Step-by-step explanation:
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