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Masteriza [31]
3 years ago
8

Does anyone knows how to solve this question??

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
8 0

Answer:

24

Step-by-step explanation:

cos(x) is just a trigonometric function. To find it on a right triangle, you take the "adjacent" side, which should be the side next to the angle x, and divide it by the hypotenuse.

In this case, the adjacent side is 12. We don't know the hypotenuse, but we can figure it out using the Pythagorean Theorem: \sqrt{9^{2}+12^{2}} = \sqrt{225} = 15. So, the hypotenuse is 15.

Thus, cos(x) = 12/15 = 4/5. We want 30 * cos(x), so we get: 30 * (4/5) = 24, and that is our answer.

Ilya [14]3 years ago
7 0

Answer:

24

Step-by-step explanation:

From the mnemonic SOHCAHTOA you would know that cos x = adjacent/hypotenuse.

Adjacent side is given as 12, but we must calculate the hypotenuse.

For that we use Pythagoras.

hypotenuse = √(9²+12²) = 15

Now you can calculate

30×cos(x) = 30×12/15 = 24

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faust18 [17]
Speed = distance / time
30 = d / 2.5
30 * 2.5 = d
75 = d

40 = d / 1.875
40 * 1.875 = d
75 = d

50 = d / 1.5
50 * 1.5 = d
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60 = d / 1.25
60 * 1.25 = d
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24 = 75 / time
time = 75/24
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3 years ago
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(46 2/3) / (1/3) =
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Step-by-step explanation:

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2 years ago
The vertices of a triangle are (-1,3) (6,3) and (-1,-4)
Travka [436]

Answer:

24.5 unit²

Step-by-step explanation:

Area of ∆

= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |

= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |

= ½ | -7 - 42 |

= ½ | - 49 |

= ½ (49)

= 24.5 unit²

<u>Method 2:</u>

Let the vertices are A, B and C. Using distance formula:

AB = √(-1-6)² + (3-3)² = 7

BC = √(-6-1)² + (-4-3)² = 7√2

AC = √(-1-(-1))² + (4-(-3))² = 7

Semi-perimeter = (7+7+7√2)/2

= (14+7√2)/2

Using herons formula:

Area = √s(s - a)(s - b)(s - c)

here,

s = semi-perimeter = (14 + 7√2)/2

s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2

s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2

s - c = (14+7√2)/2 - 7 = (7 + √2)/2

Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²

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Answer:

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Step-by-step explanation:

just is.

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