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matrenka [14]
3 years ago
5

Find the whole. 85% of ___ is 17.

Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

20

Step-by-step explanation:

85% of x = 17

\frac{85}{100}*x = 17\\\\ x = 17*\frac{100}{85}\\\\x = \frac{100}{5}\\\\x = 20

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What is the height of a prism with a volume of 18/35 cubic units and a base area of 2/5 square units?
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The formula for volume is

... V = Bh . . . . . where B is the area of the base, and h is the height

You have

... 18/35 = 2/5·h

... 18/35·5/2 = h = 9/7

The height is 9/7 units.

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Angelica says the tangent is the ratio of the length of the leg opposite angle A ∠ A over the length of the leg adjacent to angl
Tpy6a [65]

Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.

Cos A = 4/5; Sin A = 3/5

<h3>What is the Trigonometry Ratios?</h3>

The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:

  • Sine ratio, sin ∅ = opp/hyp
  • Cosine ratio, cos ∅ = adj/hyp
  • Tangent ratio, tan ∅ = opp/adj.

<h3>What is the Pythagroean Theorem?</h3>

If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.

1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:

If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:

tan A = 9/12 = 3/4.

Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.

2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.

3. Find AC using the Pythagorean theorem:

AB = √(3² + 4²)

AB = 5 units.

Cos A = adj/hyp = AC/AB

Cos A = 4/5

Sin A = opp/hyp = BC/AB

Sin A = 3/5

Learn more about the trigonometry ratios on:

brainly.com/question/10417664

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