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3 years ago

Help with trigonometry

Mathematics

1 answer:

diamong [38]3 years ago

4 0

Answer:

cos ∠CBD = - 4√41 / 41

Step-by-step explanation:

AB = 4 ΔABC = (4 x AC) / 2 = 10

AC = 5

BC = √5² + 4² = √41

cos ∠CBD = cos (180° - ∠CBA) = cos 180° cos ∠CBA + sin 180° sin ∠CBA

(cos 180° = - 1 sin 180° = 0 cos ∠CBA = 4 / √41 )

cos ∠CBD = (-1) x cos ∠CBA = - 4 / √41 = - 4√41 / 41

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Greta is trying to determine the portion of green candies in various bags of green and yellow candies. Using the information bel

IrinaK [193]

Answer: a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

Step-by-step explanation:

Since we have given that

There are green and yellow candies in each bag.

Bag A: Two thirds of the candies are yellow. What portion of the candies is green?

Part of yellow candies in bag A = $\dfrac{2}{3}$

Part of green candies in bag A would be

$1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}$

Bag B: 29 % of the candies are yellow. What portion of the candies is green?

Percentage of candies are yellow = 29%

Portion of candies are green is given by

$1-\dfrac{29}{100}\\\\=1-0.29\\\\=0.71\\\\=\dfrac{71}{100}$

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?

Portion of yellow candies = $\dfrac{4}{9}$

Portion of green candies would be

$1-\dfrac{4}{9}\\\\=\dfrac{9-4}{9}\\\\=\dfrac{5}{9}$

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6 0

3 years ago

The functio p(x)= x(x-5)(x-2)(x+3) has four zeros. What is the smallest zero.

loris [4]

Answer:

x = 5 or x = 2 or x = 0 or x = -3 thus 0 is the smallest root

Step-by-step explanation:

Solve for x:

x (x - 5) (x - 2) (x + 3) = 0

Split into four equations:

x - 5 = 0 or x - 2 = 0 or x = 0 or x + 3 = 0

Add 5 to both sides:

x = 5 or x - 2 = 0 or x = 0 or x + 3 = 0

Add 2 to both sides:

x = 5 or x = 2 or x = 0 or x + 3 = 0

Subtract 3 from both sides:

Answer: x = 5 or x = 2 or x = 0 or x = -3

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3 years ago

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Mademuasel [1]

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36: 1,2,3,4,6,6,9,12,18,36

60: 1,2,3,4,5,6,10,12,15,20,30,60

45: 1,3,5,9,15,45

96: 1,2,3,4,6,8,12,16,24,32,48,96

hope it helps!

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3 years ago

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Help with trigonometry​

Help with trigonometry