Steve will have to buy "6.25" bags of apples if he wants to give one apple to each student.
Explanation:
75 divided by 12 = 6.25
X - 14 = 52
move - 14 for + 14
x = 52 + 14
x = 66
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°
What we are looking for:
Toby's Angle = ?
The distance x = ?
We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.
Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°
Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
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x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m
∴The distance, x, between two landmarks is 69.31m
Answer:
120 miles
Step-by-step explanation:
we know that
The speed is equal to the distance divided by the time
Let
s------> the speed in mph
d-----> the distance in miles
t -----> the time in hours
s=d/t
solve for the distance
d=s*t
<em>It will take Adam four hours to drive to Disney Park</em>
s=x mph
t=4 h
substitute
d=4x -----> equation A
<em>It will take Adam 2.5 times less time if driving 45 mph faster</em>
so
s=(x+45) mph
t=4/2.5=1.6 h
substitute
d=1.6(x+45) -----> equation B
equate equation A and equation B
4x=1.6(x+45)
Solve for x
4x=1.6x+72
4x-1.6x=72
2.4x=72
x=30 mph
Find the distance d
d=4x -----> d=4(30)=120 miles
March 15 - March 31 = 17 days
April = 30days
May = 31 days
June = 30 days
July = 31 days
August = 31 days
Sept 1 - Sept 15 = 15 days
total = 185 days
