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kati45 [8]
3 years ago
10

If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answ

er to the nearest hundredth. triangles ABC and ADC in which angle C is a right angle, point D is on segment BC between points B and C, the measure of angle ABD is x degrees, and the measure of angle ADC is y degrees 0.74 units 1.17 units 1.64 units 2.14 units
Mathematics
1 answer:
brilliants [131]3 years ago
4 0

Answer:

  1.17 units

Step-by-step explanation:

From the definition of the sine of an angle, you know ...

  sin(45°) = AC/AB = 4/AB   ⇒   AB = 4/sin(45°) ≈ 5.6569

  sin(63°) = AC/AD = 4/AD   ⇒   AD = 4/sin(63°) ≈ 4.4893

Then the difference AB-AD is ...

  AB -AD = 5.6569 -4.4893 = 1.1676

  AB -AD ≈ 1.17 units

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A volleyball uniform costs $15 for the shirt, $12 for shorts, and $8 for socks. Which expression applies the distributive proper
bixtya [17]

Answer:

I think it would be 350$

Step-by-step explanation:

ok so you have to buy 10 shirts so you need to set up your problem which would be 10(12+8+15)

Then you would have to actually distribute which would give you 120+80+150

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7 0
3 years ago
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Find the direct variation equation
joja [24]

Answers:

  • The direct variation equation is y = 5x
  • If x = 4, then y = 20

=================================================

Explanation:

Let's say that the letter k replaces the green box

We have the equation y = kx

Plug in (x,y) = (7,35) to get the equation 35 = k*7

Dividing both sides by 7 leads to k = 5

Therefore, the direct variation equation is y = 5x

We can check this by plugging in x = 7

y = 5x

y = 5*7

y = 35

So x = 7 leads to y = 35 as expected.

-------------

Do the same for x = 4

y = 5x

y = 5*4

y = 20 when x = 4

Side note: direct variation equations always go through the origin.

6 0
2 years ago
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What is the answer to r/10+4=5
Oxana [17]

Answer:

r=10

Step-by-step explanation:

Take 4 away from 5 to isolate your variable. Now you have r/10= 1. figure out the unknown value by placing ten on top which is the same as 1.

4 0
3 years ago
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2.50c+6a=6344.50 <br> Find each variable
Ksju [112]

Answer:

c=2.4a+2537.8

a=-2.5/6c+1057.4

Step-by-step explanation:

solve for c:

2.50c+6a=6344.50

          -6a         -6a

2.50c=-6a+6344.50

/2.50       /2.50      /2.50

c=2.4a+2537.8

solve for a:

2.50c+6a=6344.50

-2.5c                -2.5c

6a=-2.5c+6344.50

/6       /6       /6

a=-2.5/6c+1057.4

6 0
3 years ago
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