Answer:
150 miles
distance travelled on the third day = 150 miles
Step-by-step explanation:
Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;
For the first day
distance = 300 miles
time = 6 hours
Speed = distance/time
Speed = 300/6 = 50 mph
on the third day;
time = 3 hours
Speed = speed on first day = 50 mph
distance = speed × time
distance = 50 mph × 3 hours
distance = 150 miles
distance travelled on the third day = 150 miles
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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Question a:
Mass = Density × Volume
Density = Mass/Volume
Volume of the tree trunk (the shape of Cylinder) = Area of circular base × height
Volume = [πr²] × h
Volume = [π × 0.25²] × 20
Volume = 3.93 m³
Density = 380 kg/m³
Mass = Density × Volume
Mass = 380 × 3.93
Mass = 1493.4 kg
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Question b)
The growth ring = 4 millimeters = 4÷1000 = 0.004
New diameter = 0.5 + 0.004 = 0.5004
New height = 20 + 0.2 = 20.2
New volume = [πr²] × h
New volume = [π × 0.2502²] × 20.2
New volume = 3.97 m³
Mm is the unit used to measure film size. It stands for millimeter.
The standard film size is 35 mm. The standard frame size of a still camera film was 24 x 36 mm.
mm is the smallest unit to measure length of an object. It is followed by cm then in and so on.
1 cm = 10 mm
1 in = 2.54 cm
1 in = 25.4 mm
Answer:
r <= 12.6
Step-by-step explanation:
Let's calculate the rate at which he descends:
r = (46.7 - 15.2)/212 = 0.15 feet/minute
