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Mariulka [41]
2 years ago
10

Triangle TUV has sides that measure 12, 8, and 6. Triangle XYZ has sides that measure

Mathematics
1 answer:
avanturin [10]2 years ago
8 0
Maybe try A
Answer Is a
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Joshua decided he did not want to study for the test so he randomly chose answers to a 5 question test. If each question had 4 a
Veronika [31]

Answer:

there is a 0.0009765625 in 1 chance that he got 100%.

Step-by-step explanation:

possibility of getting a question right: 1/4

# of questions: 5

(1/4)^5 is 0.0009765625

5 0
3 years ago
In each diagram, abc is a straight line. Find the unknown angles.
aleksandr82 [10.1K]

Answer:

The value of ∠b = 180°

Step-by-step explanation:

Given that;

ABC is a straight line

Another angle is 137°

Find:

The value of ∠a

The value of ∠b

Computation:

We know that, ABC is a straight line

So,

137 + The value of ∠a = 180

The value of ∠a = 180 - 137

The value of ∠a = 43°

The value of ∠b = 360 - 137 - The value of ∠a

The value of ∠b = 360 - 137 - 43

The value of ∠b = 180°

6 0
3 years ago
Explain how you got 43+58+62+57+42=262
aev [14]

Answer:

If you take All of them and add them then you get 262 I dont really understand what your trying to say

6 0
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

3 0
2 years ago
Read 2 more answers
Select all the correct answers.
Vlad1618 [11]

Answer:

  • The measure of reference angle is 30^{\circ}.
  • \cos \theta=\frac{\sqrt{3}}{2}

Step-by-step explanation:

Converting \theta to degrees,

\theta=\left(\frac{11\pi}{6} \right) \left(\frac{180}{\pi} \right)=330^{\circ}

This means \theta lies in Quadrant 4, and thus its reference angle is 360^{\circ}-330^{\circ}=\boxed{30^{\circ}}

Since \theta lies in the fourth quadrant, \sin \theta and \tan \theta are negative.

Since \theta lies in the fourth quadrant, \cos \theta is positive, and is equal to \cos (30^{\circ})=\boxed{\frac{\sqrt{3}}{2}}

3 0
1 year ago
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