Let 2 × 2 × 2 = n. Which choice also equals n?
1 answer:
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The area of each triangular face is 40 square feet
<em><u>Solution:</u></em>
Given that,
Square pyramid has a base area of 64 square feet
The pyramid’s total surface area is 224 square feet
The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base
<em><u>Therefore, total surface area of square pyramid is given as,</u></em>
Total surface area = base area + 4(Area of traingular face)
Let "x" be the area of each traingular face
Thus area of each triangular face is 40 square feet
Answer:
The two airplanes are about 330miles apart.
Step-by-step explanation:
The diagram interpreting the question has been attached to this response.
As shown in the diagram,
i. the airplanes leave at point C.
ii. at 2.00pm the first and second airplanes are at points A and B respectively, where they are 312miles and 487miles away from the starting point C in directions due north and N42E from the point C.
iii. the points A, B and C form a triangle with sides a, b and c.
To solve for the value of c which is the distance between the two planes at 2.00pm, the cosine rule is used.
c² = a² + b² - 2abcosC --------------(i)
where;
b = 312miles
a = 487miles
C = 42°
Substitute these values into equation (i) and solve as follows;
c² = (487)² + (312)² - 2(312)(487)cos(42)
c² = (237169) + (97344) - 303888cos(42)
c² = (237169) + (97344) - 303888(0.7431)
c² = 334513 - 225819.1728
c² = 108693.8272
<em>Take the square root of both sides</em>
√c² = √108693.8272
c = 329.69
c ≅ 330miles
Therefore, the two airplanes are far apart by 330miles
