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katrin [286]
3 years ago
13

Using the triangle theorem solve this triangle.​

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

OK THIS IS A BIGGY....c = 8

Step-by-step explanation:

First, find b.

using the pythagorean theorem, a² + b² = c²

to find b using an angle, do b = √(c² - a²)

then, b = a * tan(β)

(β is the angle 30°)

So, b = 6.928

Then, plug it into the pythagorean theorem

4² + 6.928² = c²

16 + 47.997184 = c²

63.997184 = c²

√63.997184 = √c

c = 7.99982399806

Rounded is 8 :)

Hope this helps! Please mark as brainliest :)

ratelena [41]3 years ago
6 0

Answer:

b = 4\sqrt{3} , c = 8

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{4}{c} = \frac{1}{2} ( cross- multiply )

c = 8

Using Pythagoras' identity in the right triangle

b² + 4² = 8²

b² + 16 = 64 ( subtract 16 from both sides )

b² = 48 ( take the square root of both sides )

b = \sqrt{48} = \sqrt{16(3)} = 4\sqrt{3}

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Calculate the slope of the formed line using the following points: (-10.5) (0, -10).
grandymaker [24]
The correct answer
-3/2
Explanation
You do (-10 - 5) / (0 - -10) or (x1 - y1) / (x2 - y2)
6 0
3 years ago
What is the y-intercept for the graph of this line? 3x - 5y = 6 - 6
photoshop1234 [79]

The right side of the equation is 6-6 which equals 0.

So the equation could be written as 3x-5y = 0

Since the right side of the equation is zero both the x and y intercepts are (0,0)

4 0
4 years ago
Read 2 more answers
Alyssa said that 6/8 and 9/12 are not equivalent because there's no whole number you can multiply both parts of 6/8 by to get 9/
luda_lava [24]
No. 6/8=9/12
by multiplying the denominators you get the common denominator of 72
then multiply each numerator by the number of the opposite denominator
8x12=96
6x12=72
9x8=72
Therefore, 72/96=72/96
                   (6/8   = 9/12)
5 0
3 years ago
Read 2 more answers
In the 01 July 2016, Samsung Ltd acquired the machine A by $1,502,000. Estimated useful life is 10 years, estimated residual val
Alja [10]

a) Samsung Ltd will record these Journal Entries from July 2016 to June 30, 2021, using the straight-line and revaluation methods of depreciation:

July 1, 2016 Debit Equipment $1,502,000

Credit Cash $1,502,000

  • To record the purchase of the machine A.

June 30, 2017 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

  • To record the depreciation expense for the first year.

June 30, 2018 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

  • To record the depreciation expense for the second year.

June 30, 2019 Debit Accumulated Depreciation $300,000

Credit Revaluation Reserve $300,000

  • To close the accumulated depreciation to Revaluation Reserve.

June 30, 2019 Debit Revaluation Reserve $198,000

Credit Revaluation Surplus $198,000

  • To record the Revaluation Surplus.

June 30, 2020 Debit Revaluation Expense $400,000

Credit Revaluation Reserve $400,000

  • To record the revaluation loss.

June 30, 2021 Debit Revaluation Reserve $500,000

Credit Revaluation Surplus $500,000

  • To record the revaluation surplus.

Data and Calculations:

Cost of machine on July 1, 2016 = $1,502,000

Estimated Residual Value = $2,000

Depreciable amount = $1,500,000

Estimated useful life = 10 years

Based on the straight-line method the depreciation expense for each year = $150,000 ($1,500,000/10).

Value of Machine at:

June 30, 2019 - $1,400,000

June 30, 2020 = $1,000,000

June 30, 2021 = $1,500,000

Learn more: brainly.com/question/19908089

6 0
3 years ago
What is the inequality in the picture?
Paul [167]

Answer:

The answer is y > 1/2x + 2

Step-by-step explanation:

To find the inequality of the graph:

Analyze line to noticed is dotted which means the sign can be greater than or less than. Then analyze the shaded part it is to the left meaning the sign used is >.  We notice the y-intercept is 2 and the slope is 1/2. Create the equation to get y > 1/2x + 2. Hopefully this was very helpful! :)

8 0
3 years ago
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