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mina [271]
3 years ago
11

1. Given the triangle below, what is the value of sin 8 ? 12 6 ก 65

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer:

(2/5)√5

Step-by-step explanation:

from the sine rule (see attached for reference), we can construct the following relationship

12/sinθ  = (6√5) / sin 90°

recall that sin 90° = 1, hence our equation becomes:

12/sinθ  = (6√5) / 1

12/sinθ  = (6√5)   (rearranging)

12 ÷ (6√5)  = sin θ

sin θ = 12 / (6√5)

sin θ = 2 / √5   (moving radical to numerator by multiplying by √5/√5)

= 2 / √5     x     √5/√5

= 2√5 / 5

= (2/5)√5

lara [203]3 years ago
6 0

Answer:

2

Step-by-step explanation:

bc

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What is the image of (-3,4)
UkoKoshka [18]

Answer:

(2, 3)

Step-by-step explanation:

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4 0
3 years ago
A. Renard let’s t= the number of taffy bags and c= the number of Carmel bags. Help him write two equations to represent the info
vlabodo [156]

Answer:

  • 20 taffy bags and 15 caramel candy bags

Step-by-step explanation:

<u>Given:</u>

  • t = the number of taffy bags
  • c = the number of caramel bags
  • Number of taffy's are 5 more than caramel bags
  • Taffy bags weigh 8 ounces and caramel bags weigh 16 ounces
  • Total weight is 400 ounces

<u>Equations:</u>

  • t = c + 5             (the difference in number of bags)
  • 8t + 16c = 400  (the weight of the bags)

<u>Simplify the second equation by dividing all terms by 8:</u>

  • t + 2c = 50

<u>Substitute t and solve for c:</u>

  • c + 5 + 2c = 50
  • 3c = 50 - 5
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  • c = 45/3
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<u>Find the value of t:</u>

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<u>Answer:</u>

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7 0
3 years ago
Lee sells electronics. He earns a 5% commission on each sale he makes.
NISA [10]

Answer:

a) c = (5/100)*d

b) c = 0.05*d

c) The ratio between what Lee recieves and what he sold.

d) d = 2000

Step-by-step explanation:

Since Lee earns 5% in commission for each sale then:

a) c = (5/100)*d

b) c = 0.05*d

c) In this context the constant of proportionality means the ratio of the value Lee sold that he'll earn as a comission.

d) Since he wants to earn $100, then c = 100 and we solve for d

c = 0.05*d

100 = 0.05*d

0.05*d = 100

d = 100/0.05 = $2000

He needs to sell $2000.

3 0
3 years ago
What is the solution to the following inequality?
tamaranim1 [39]

\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Inequalities.

so we get as,

(w+6)/2 < 5

so we get as,

w+6 < 10

=> w < 10-6

=> w < 4

so the answer is,

w < 4

4 0
2 years ago
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