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hodyreva [135]
2 years ago
6

Consider the 30°-60° right triangle shown whose hypotenuse is equal to one. Clearly this triangle is half of an equilateral tria

ngle. Please help me. Thank you! (╹◡╹)

Mathematics
1 answer:
Bad White [126]2 years ago
3 0

Answer:

Step-by-step explanation:

Given triangle ABC is a right triangle.

m∠ACB = 60°

m∠CAB = 30°

m(AC) = 1 unit

A). Shorter side of the given triangle = Side BC

By applying cosine rule,

cos(∠C) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(60°) = \frac{BC}{AC}

BC = \frac{1}{2}(AC)

BC = \frac{1}{2}

Length of the shorter side = 0.5 units

B). Longer side of the given triangle = side AB

By applying Pythagoras theorem in the given triangle,

AC² = AB² + BC²

1² = AB² + (\frac{1}{2})^2

1 = AB² + \frac{1}{4}

AB = \sqrt{1-\frac{1}{4}}

AB = \sqrt{\frac{3}{4}}

AB = \frac{\sqrt{3} }{2}

Length of the longer side = \frac{\sqrt{3}}{2}

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If the temperature in degrees Celsius , of a particular place from January to December was given as 9,11,12,12,13,14,14,14,16,15
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The sum of 5 consecutive integers is 505 what is the third number in the sequence
saw5 [17]
5 consecutive integers : x, x + 1, x + 2, x + 3, x + 4

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3 0
3 years ago
The time until failure of an electronic device has an exponential distribution with mean 15 months. If a random sample of five s
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Answer:

The probability that the first failure occurs among the five devices is given by

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3 years ago
The equation y=2(x-1)^2-5y=2(x−1)
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Answer:

(b) It is symmetrical about x = 1

Step-by-step explanation:

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y = 2(x - 1)^2 - 5

See attachment for options

Required

True statement about the graph

First, we check the line of symmetric

y = 2(x - 1)^2 - 5

Expand

y = 2(x^2 - 2x + 1) - 5

Open bracket

y = 2x^2 - 4x + 2 - 5

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A quadratic equation y = ax^2 + bx + c has the following line of symmetry

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8 0
3 years ago
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