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Flura [38]
3 years ago
15

Find sin D sin E cos D and cos E

Mathematics
1 answer:
Andrew [12]3 years ago
5 0

9514 1404 393

Answer:

  sin(D) = cos(E) = (√3)/2

  cos(D) = sin(E) = 1/2

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

For this diagram, this means ...

  sin(D) = cos(E) = (13√3)/26 = (√3)/2

  cos(D) = sin(E) = 13/26 = 1/2

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Suppose the linear regression line y = 3.27x + 1.52 predicts the weight of a large dog, in pounds, x weeks after it is born. Abo
andreyandreev [35.5K]

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y=21.14

Step-by-step explanation:

x=6 because after 6 weeks

y= 3.27(6)+ 1.52

y=19.62 + 1.52

y=21.14

4 0
4 years ago
If Johnny hits 51 baseballs that are thrown to him and he has 73 pitches thrown
stellarik [79]

Answer:

0.699 (=69.9%)

Step-by-step explanation:

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6 0
3 years ago
(English to algebra) twice K results in three times the sum of k plus one
babymother [125]

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8 0
4 years ago
A box contains 3 coins. One coin has 2 heads and the other two are fair. A coin is chosen at random from the box and flipped. If
Blababa [14]

Answer: Our required probability is \dfrac{1}{2}

Step-by-step explanation:

Since we have given that

Number of coins = 3

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Number of fair coins = 2

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So, Probability of getting head from fair coin = \dfrac{1}{2}

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Using "Bayes theorem" we will find the probability that it is the two headed coin is given by

\dfrac{\dfrac{1}{3}\times 1}{\dfrac{1}{3}\times \dfrac{1}{2}+\dfrac{1}{3}\times \dfrac{1}{2}+\dfrac{1}{3}\times 1}\\\\=\dfrac{\dfrac{1}{3}}{\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{3}}\\\\=\dfrac{\dfrac{1}{3}}{\dfrac{2}{3}}\\\\=\dfrac{1}{2}

Hence, our required probability is \dfrac{1}{2}

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5 0
3 years ago
One hundred twenty feet of fencing encloses a rectangular garden on three sides. One side of the garden is the side of a barn an
andre [41]

Answer: The garden has dimensions 30 ft wide X 60 ft long

Step-by-step explanation:

Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.

L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.

We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.  

5 0
3 years ago
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