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Alchen [17]
2 years ago
12

Find the surface area of this triangular prism:

Mathematics
2 answers:
Naddika [18.5K]2 years ago
5 0

144 cm^2

Bottom 32 + slant 40 + 2 sides 24 each + back 24
artcher [175]2 years ago
5 0
6cmx8cm=48cm
48cm/2=24cm
24x4cm=96cm
Answer=96 cm
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Slope = \frac{-8-(-6)}{2-(-3)} = \frac{-8+6}{2+3} =\frac{-2}{5}

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A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time
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The height at time of 12.1 seconds is approximately 729.2562 feet

Step-by-step explanation:

The general form of the quadratic regression equation is y = A + Bx + Cx²

The quadratic regression formula is given as follows;

B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}

C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}

A = \bar y - B \bar x - C \bar {x^2}

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S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)

S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})

S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2

S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})

Solving using an online quadratic regression calculator, gives;

A = 2.5643259

B = 246.6374865

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Substituting gives;

y = 2.5643259 + 246.6374865·x -15.41986006·x²

When time, x = 12.1, we have;

y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet

The height at time of 12.1 seconds ≈ 729.2562 feet.

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