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nasty-shy [4]
2 years ago
7

Solve the inequality -2(5x + 1) > 48

Mathematics
2 answers:
guapka [62]2 years ago
8 0

Answer:

Step-by-step explanation:

-2(5x + 1) > 48

-2(6x) > 48

12x > 48

Dimas [21]2 years ago
8 0

Answer:

x<-5

Step-by-step explanation:

-10x-2>48

-10x-2+2>48+2

-10x>50

-10x/-10 > 59/-10

= x<-5

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<u>Identities used:</u>

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  • <em>1/sinθ = cosecθ</em>
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  • <em>cosθ/sinθ = cotθ</em>
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<h3>Question 1 </h3>
  • (1 - sinθ)/(1 + sinθ) =        
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<u>Square root of it is:</u>

  • (1 - sinθ)/ cosθ =
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<h3>Question 2 </h3>

<u>The first part without root:</u>

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In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.
dem82 [27]

Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Step-by-step explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

∴ s² = t² + r² - 2 × t × r × cos∠S

∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

∴ s² = 16.81 + 50.41 - 41.1677568

∴ s² = 26.0522432

→ Take √ for both sides

∴ s = 5.10413981

→ Round it to the nearest tenth

∴ s = 5.1 inches

∴ The length of s is 5.1 inches to the nearest tenth of an inch

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