A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #4 # and #1 # and the pyramid's height is #7 #. If one of the base's corners has an angle of #(5pi)/6#, what is the pyramid's surface area?
Total Surface Area of Pyramid
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To find the surface area of the pyramid, we first need to calculate the area of the base and then find the area of each triangular face.

Area of the Base (Parallelogram): The area of a parallelogram can be calculated using the formula: [ \text{Area} = \text{base} \times \text{height} ] Given the base sides of lengths 4 and 1, and the height is 7, we can use the longer side (4) as the base and the height (7) as the height of the parallelogram.

Area of Triangular Faces: Since the peak is directly above the center of the base, the pyramid can be divided into four congruent triangular faces. The area of a triangle can be calculated using the formula: [ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ] The base of each triangle is one of the sides of the parallelogram (4 or 1), and the height is the height of the pyramid (7).

Total Surface Area: Once we have the areas of the base and each triangular face, we can find the total surface area by adding them together.
With these calculations, we find the surface area of the pyramid.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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