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Free_Kalibri [48]
3 years ago
10

Hw 43 special right triangles

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

Answer:


Step-by-step explanation:

Use the fact that sin 30 =0.5 and cos 30 = sqrt 3/2

we have answers as

8. u=16 and v = 8\sqrt{3}

9) y=5 and x=5\sqrt{3}

10) tan 30 =\frac{1}{\sqrt{3} }

So y=4\sqrt{3}

x=8\sqrt{3}


11) a=22 and b=11

12) b=1.5 and a=1.5\sqrt{3}

13) y=20\sqrt{3}

and x=10



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Points S, L, and P on this grid represent the locations of the school, the library, and the park, respectively.
agasfer [191]

Using the distance formula, the distance from:

School to Library (SL) = 5 units.

Library to Park (LP) = 10 units.

<h3>What is the Distance Formula?</h3>

To calculate the distance between two points on a coordinate plane, the distance formula used is: d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}.

Given the coordinates of each location as:

  • School, S = (0, 4)
  • Library, L = (4, 1)
  • Park, P = (-4, -5)

Distance from School to Library (SL):

SL = √[(4−0)² + (1−4)²]

SL = √[(4)² + (−3)²]

SL = √25

SL = 5 units

Distance from Library to Park (LP):

LP = √[(4−(−4))² + (1−(−5))²]

LP = √[(8)² + (6)²]

LP = √100

LP = 10 units

Learn more about the distance formula on:

brainly.com/question/661229

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7 0
1 year ago
What is the value of 3 minus (negative 2)?
earnstyle [38]

Answer:

5

Step-by-step explanation:

3-(-2) will become positive 5. so number line will go towards positive 5.

5 0
2 years ago
Suzy is starting a babysitting buisness. She spent $ 36 to make signs to advertise. She charges and intial fee of $ 6 and then $
timofeeve [1]

Answer:

3h - 30 > 0

h > 10

Step-by-step explanation:

To make a profit, subtract $36 in cost from the income coming in.

She charges $6 and then $3 per hour or 3h. Her income coming in is 6 + 3h.

Subtract 36 from it to find the profit.

3h + 6 - 36

3h - 30

To make a profit, she needs to make more than $0 or > 0.

3h - 30 > 0

Solve using inverse operations.

3h - 30 > 0

3h > 30

h > 10

3 0
3 years ago
Sketch the graph of y+2=1/2(x-3)
valentina_108 [34]

Answer:

Step-by-step explanation:

y= 1/2x + −7/2

5 0
2 years ago
I need this for my notes so i can know what to do. What is the length of AC? And Length of AB?
andre [41]

Answer:

AC 5

AB = 3

Step-by-step explanation:

AC = distance between the points

C-A = 3 - -2 = 3+2 = 5

The distance is 5

AB = distance between the points

B-A = 1 - -2 = 1+2 = 3

The distance is 3

8 0
3 years ago
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