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Elanso [62]
3 years ago
11

The shortest distance from a point to a straight line is

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0

The shortest distance from a point to a straight line is the measurement of the line segment which connects the point to the straight line. This line segment should be perpendicular to the line and is thus called the perpendicular distance. 

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3 years ago
Help 15 points!!!!!!!!!!!!!!!!!!!!!
Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{7}{8} , then

∠ A = tan^{-1} (\frac{7}{8} ) ≈ 41° ( to the nearest degree )

The sum of the angles in the triangle = 180° , then

∠ B + 41° + 90° = 180°

∠ B + 131° = 180° ( subtract 131° from both sides )

∠ B = 49°

Using Pythagoras' identity in the right triangle

AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )

AB = \sqrt{113} ≈ 10.6 ( to the nearest tenth )

3 0
3 years ago
Two cars start from the same point driving in opposite directions. Both cars drive 6miles. One car stops, the other car makes a
dimaraw [331]

Answer:

  • <u>14.4 mile</u>²

Explanation:

1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.

2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.

Hence, you must use Pythagoras to find that distance.

3. Pythagoras

  • hypotenuse² = leg₁² + leg₂²

  • hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²

  • hypotenuse=\sqrt{208mile^2}=14.4mile^2, which is rounded to the neartest tenth of a mile.
8 0
3 years ago
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several
jonny [76]

A) A ratio system

B) The 4 lb peanuts and the 1 lb mixture because the 4lb added to the 1lb of mixture give the correct percentages.

4 0
3 years ago
Quick question
ZanzabumX [31]

Answer:

Yuh

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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