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pickupchik [31]
2 years ago
10

Please help find them 1 AB2 BC​

Mathematics
1 answer:
spin [16.1K]2 years ago
6 0

Answer:

AB ≈ 15.7 cm, BC ≈ 18.7 cm

Step-by-step explanation:

(1)

Using the Cosine rule in Δ ABD

AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )

       = 153.76 + 272.25 - (409.2 cos64° )

       = 426.01 - 179.38

       = 246.63 ( take the square root of both sides )

AB = \sqrt{246.63} ≈ 15.7 cm ( to 1 dec. place )

(2)

Calculate ∠ BCD in Δ BCD

∠ BCD = 180° - (53 +  95)° ← angle sum in triangle

∠ BCD = 180° - 148° = 32°

Using the Sine rule in Δ BCD

\frac{BC}{sin53} = \frac{BD}{sin32} = \frac{12.4}{sin32} ( cross- multiply )

BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )

BC = \frac{12.4sin53}{sin32} ≈ 18.7 cm ( to 1 dec. place )

         

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Step-by-step explanation:

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The total number of stickers :

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<h3>Further explanation </h3>

There are several properties in integer multiplication operations

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Multiplication between integers will produce integers too

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a x b = b x a

  • 3. associative property

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* substraction

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We can use facts to solve multiplication problems

for example :

6 x 7 = (5 x 7) + ( 1 x 7) = 42

we can break facts with 6 into  5s and 1s facts from multiplication above

julia puts her stickers into arrays in an album

From picture (attached) we can find the total number of stickers on each page with 1s,2s,3s and 5s facts

  • Page 1 : 4 x 7 = (2 x 7) + ( 2 x 7) = 14 + 14 = 28
  • Page 2 : 4 x 6 = (1 x 6) + (3 x 6) = 6 + 18 = 24
  • Page 3 : 8 x 9 = ( 3 x 9) + (5 x 9) = 27 + 45 = 72
  • Page 4 : 8 x 6 = (3 x 6) + (5 x 6) = 18 + 30 = 48

<h3>Learn more</h3>

the multiplicative identity property

brainly.com/question/4238982

Keywords : stickers, arrays, album, page, Julia

#LearnWithBrainly

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3 years ago
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