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Tanya [424]
3 years ago
9

Assume the triangle has given measurements. solve for the remaining sides and angles.

Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0

Answer:

Step-by-step explanation:

You can  calculate the length of side a using the Cosine Rule:

a^2 = 32.6^2 + 41.4^2 - 2.32.6.42.4 cos pi/6

a^2 = 456.01

a = √456.01

a = 21.35

By the Sine Rule:

32.6 / sin B = 21.35 / sin pi/6

sin B =  (32.6 * sin pi/6) / 21.35

sin B = 0.76347

B = 0.869 radians.

C = pi - pi/6 - 0.869 = 1.749 radians.

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F) One number is 78 more than
vladimir2022 [97]

Answer:

The larger number = 116

Step-by-step explanation:

Let the smaller number = x

Given that one number is 78 more than  another, so

The larger number = x+78

Given that if we add 12 to the  smaller number, the result is 50, so

x+12=50

subtract 12 from both sides

x+12-12=50-12

Simplify

x=38

Therefore,

  • The smaller number = 38
  • The larger number = x+78 = 38+78 = 116

Thus, the larger number = 116

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3 years ago
What is the scale factor from triangle PRQ to triangle SUT
Alex

Answer:

Scale factor is 1.5

Step-by-step explanation:

ST = PR

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3 years ago
Simplify y 2 + 4y - 16y + 3y 2.
algol13
First, add or subtract all variables
y2 + 4y - 16y + 3y = -7y
-7y + 2 is your answer 
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3 years ago
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Marta is making a flag with the given dimensions. The perimeter of the flag is 100 inches. How much material, in square inches,
Jobisdone [24]

She would need 360 square inches of fabric, we know this by using the heron's formula P =100, S = 50

A = (50(50-41)(50-41)(50-18))^.5

A = (50(9^2)(32))^.5

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A = 9(1600)^.5

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360*0.15 per piece equals $54


Answers:


360, 54

6 0
3 years ago
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The cost of a pair of pants was reduced from $50 to $40. By what percent did the cost of the pair of pants decrease? 2% 10% 20%
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Answer:

C. 20%

Step-by-step explanation:

50*2=100

40*2=80

100-80=20

5 0
3 years ago
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