Need some math help. I tried but I’ve already done over fifty questions. Thanks!
1 answer:
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Answer:
Area of the given kite = 84 square inches.
Step-by-step explanation:
Properties of the diagonals of a kite,
1). Diagonals are perpendicular to each other.
2). Longer diagonal bisects the smaller one.
Therefore, Length of smaller diagonal BD = 2×6 = 12"
In right ΔAEB,
m∠ABE = m∠EAB = 45°
Therefore, in isosceles triangle AEB,
AE = BE = 6"
Now the length of longer diagonal AC = AE + EC
AC = 6" + 8"
= 14"
Area of the given kite ABCD =
=
=
= 84 square inches
Answer:
32901 gallons
Step-by-step explanation:
First, we find the volume of the cylindrical water tank when it is full.
The volume of a cylinder is given as:
V =
where r = radius and h = height of the cylinder
The diameter of the tank is 20 feet, hence, its radius is 10 feet.
Volume, V, is therefore:
V =
This is the volume of the tank, when it is full.
When it is 70% full, the volume will be:
1 cubic foot () is 7.48 gallons.
Therefore, the volume of the 70% full tank in gallons will be:
4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons
The tank contains 32901 gallons of water.