What’re the choices you have
(3 * 15) / 4 = 45/4 = 11....remainder 1....each grandkid gets 11 cards...equaling 44 cards....leaving 1 left for Mr. Dawson
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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Answer: the depth of the trench is 3685 ft
Step-by-step explanation:
The hole is approximately 347 yards wide. This means that the diameter of the hole is 347 yards.
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder or hole.
h represents the height or depth of the cylinder or hole.
π is a constant whose value is 3.14
From the information given,
Volume = 348289500 ft³
Radius = diameter/2 = 347/2 = 173.5 ft
Therefore,
348289500 = 3.14 × 173.5² × h
348289500 = 94521.065h
h = 348289500/94521.065
h = 3685 feet
