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White raven [17]
3 years ago
5

Answer the given question and show workings.

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
8 0

Answer:

  • 1

Step-by-step explanation:

<h3>Given</h3>
  • sin θ = 3/5
  • cos α = 3/5
  • Both angles are acute
<h3>Solution</h3>

Since both sin θ and cos α have same value of 3/5 and both angles are in the I quadrant, the angles θ and α are complementary.

<u>It means: </u>

  • θ + α = 90°
  • sin (θ + α) = sin 90° = 1
Minchanka [31]3 years ago
6 0

Answer:

alpha=cos^-1(0.6)

alpha=53°

sin(37+53)

=1

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Answer:

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Step-by-step explanation:

The intersection of both a solid figure and a plane is called a cross section

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Answer:

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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.
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3 years ago
Duane is making cookies. The recipe calls for two times as many cups of sugar as butter, two times as many cups of oats as sugar
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Answer:

6.0

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: (2.0+(2.0+2.0)) = 6.0

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