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Vladimir79 [104]
3 years ago
12

Find the slope of the line that passes through (24,-5) and (87, 64).

Mathematics
1 answer:
Eva8 [605]3 years ago
5 0

Answer:

Distance

80.7527089328897

Midpoint

(81.5,24)

Slope

7.27272727272727

x intercept

78.20

y intercept

−568.73

Step-by-step explanation:

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The total surface area consists of the base area and the surface area (the area of all lateral faces). The base is a hexagon with side a=3 cm.

A_{hexagon}=6A_{triangle}=6\cdot \dfrac{1}{2} \cdot \dfrac{a^2\sqrt{3}}{4} =\dfrac{3}{4} \cdot 3^2\cdot \sqrt{3}=\dfrac{27\sqrt{3}}{4} sq. cm.

Each lateral face is an isosceles triangle with height h=12 cm and base a=3 cm. The area of one such lateral triangle is

A_{lateral}=\dfrac{1}{2}\cdot h\cdot a= \dfrac{1}{2}\cdot 12\cdot 3=18 sq. cm.

Then the total surface area is:

A_{total}= \dfrac{27\sqrt{3}}{4} +6\cdot 18=\dfrac{27\sqrt{3}}{4} +108=11.7+108=119.7 sq. cm.

Answer: 119.7 sq. cm.

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