Question

10, 11, and 12 please

10) A section of roller coaster track has the dimensions shown in the diagram. Find the grade of the 10) track, which is the slope written as a percent 10.73 meters 29 meters A) 10.73% B) 37% C) 3% D)42% Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth. 7 cm 11 cm B) 8.485 cm C) 10.677 cm D) 18 cm A) 13.038 cm 12) 12) 11 cm 13 cm C) 6.928 cm D) 12 cm B) 24 cm A) 48 cm

Answer 1

10

$Grade =\ \frac{Rise}{Run}*100$

$Grade =\ \frac{10.73m}{29m}*100=37\%$

ANSWER: Option B)37%

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11

In a right Triangle side opposite to right angle is hypotenuse

To find hypotenuse ,$H=\sqrt{b^{2}+h^{2}}$

$H=\sqrt{(7cm)^{2}+(11cm)^{2}}$

$H=13.038cm$

ANSWER :Option A)13.038cm

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12

What we have is a right triangle

so by Pythagoras theorem

$H^{2}=b^{2}+h^{2}$

$(13cm)^{2}=b^{2}+(11cm)^{2}$

$169=b^{2}+121$

$48=b^{2}$

$b=6.928cm$

ANSWER :Option C)6.928 cm

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