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Anna [14]
3 years ago
6

Bill is building a model of a square pyramid for a class project. The side length of the square base is 10 inches and the slant

height of the pyramid is 15 inches. What is the surface area of the model pyramid?
Mathematics
2 answers:
Zolol [24]3 years ago
6 0
The surface area for the square pyramid is A= 416.23
k0ka [10]3 years ago
5 0

Answer:

400in.^2 < gradpoint

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Evaluate the expression when C=1/2 and D=1/12<br> 3(1/4+C²)+2D<br> Please hurry!
Mkey [24]
Answer is 1 1/12
3(1/4 + 1/2^2)+ (2x1/12)
3/4+1/4+2/12 (you get to this part by distributing 3 throughout the parentheses)
9/12+3/12+2/12= 1 1/12 hope this helps
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Which statement is true concerning the vertex and the axis of symmetry of g(x)=5x2−10x?
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Answer:    The vertex is at (1, –5) and the axis of symmetry is y = 1.

Step-by-step explanation:  graph, learning the formula, stating the equation of the axis of symmetry when we know the parabola's equation Explore how the graph and equation relate to the axis of symmetry , by using our interactive program below .

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3 years ago
Kim sold a house for $250,000 and made a 2% commission. How much money did Kim make from commission for selling the house?
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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.​
Leni [432]

Answer:

To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;

3·4ⁿ is divisible by 3 and 51 is divisible by 3

Where we have;

S_{(n)} =  3·4ⁿ + 51

S_{(n+1)} = 3·4ⁿ⁺¹ + 51

S_{(n+1)} - S_{(n)} = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ

S_{(n+1)} - S_{(n)} = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ

∴ S_{(n+1)} - S_{(n)} is divisible by 9

Given that we have for S₀ =  3×4⁰ + 51 = 63 = 9×7

∴ S₀ is divisible by 9

Since  S_{(n+1)} - S_{(n)} is divisible by 9, we have;

S_{(0+1)} - S_{(0)} =  S_{(1)} - S_{(0)} is divisible by 9

Therefore S_{(1)} is divisible by 9 and S_{(n)}  is divisible by 9 for all positive integers n

Step-by-step explanation:

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