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-BARSIC- [3]
3 years ago
5

Which of these trends represents an inverse variation?

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0

I think it is the first one could be wrong tho

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HELP PLEASE!!
seropon [69]

Answer:

BD = <u>1</u> unit

AD = <u>1</u> unit

AB = <u>1.6</u> units

AC = <u>1.6</u> units

Step-by-step explanation:

In the picture attached, the triangle ABC is shown.

Given that triangle ABC is isosceles, then ∠B = ∠C

∠A + ∠B + ∠C = 180°

36° + 2∠B = 180°

∠B = (180° - 36°)/2

∠B = ∠C  = 72°

From Law of Sines:

sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB

(Remember that BC is 1 unit long)

AB = AC = sin(72°)/sin(36°) = 1.6

In triangle ABD, ∠B = 72°/2 = 36°, then:

∠A + ∠B + ∠D = 180°

36° + 36° + ∠D = 180°

∠D =  180° - 36° - 36° = 108°

From Law of Sines:

sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB

(now ∠A = ∠B)

BD = AD = sin(∠A)*AB/sin(∠D)

BD = AD = sin(36°)*1.6/sin(108°) = 1

3 0
3 years ago
Select the correct answer from each drop-down menu.
photoshop1234 [79]

1. quotient

2.remainder

3. a factor

4. 5

Step-by-step explanation:

i just took the test

4 0
3 years ago
9. Find the Highest Common Factor of
netineya [11]
C. 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60

1,000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

Now we find the common numbers. One doesn’t count as when multiplied later on, it will not change anything.

60: 2, 4, 5, 10, 20

1,000: 2, 4, 5, 10, 20

The highest common factor is 20 because it’s, well, the highest number.

D. Do the same thing for D.

24: 1, 2, 3, 4, 6, 8, 12, 24

880: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

20 and 880: 2, 4, 8

8 is the Highest Common Factor.

E. Do the same thing with E.

90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

1,000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

90 and 1000: 2, 5, 10

10 is the Highest Common Factor.

3 0
3 years ago
Read 2 more answers
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x^2 + __x =__
Ymorist [56]

Answer:

x² -6x = -13

Step-by-step explanation:

Divide the equation by 8, the current value of "a".

... (8x² -48x)/8 = -104/8

... x² -6x = -13

8 0
3 years ago
Read 2 more answers
BRAINLIEST!!!
Sonbull [250]

Answer:

\sqrt{37}

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = \frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = \frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }

   = \frac{|36-2+3|}{\sqrt{36+1} }

   = \frac{|37|}{\sqrt{37} }

   = \frac{37}{\sqrt{37} } × \frac{\sqrt{37} }{\sqrt{37} }

   = \frac{37\sqrt{37} }{37} ← cancel 37 on numerator/ denominator

   = \sqrt{37}

7 0
3 years ago
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