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gulaghasi [49]
3 years ago
8

Louie is trying to find a rectangular canvas for his art project. Its height must measure 18 inches and form a 48° angle with th

e diagonal at the top of the canvas. What is the length of the diagonal of the canvas? Round your answer to the nearest inch.
Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Answer:

27 inches

Step-by-step explanation:

To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

cos(48) = height / diagonal

0.6691 = 18 / diagonal

diagonal = 18 / 0.6691 = 26.9 inches

Rounding to the nearest inch, the diagonal of the canvas measures 27 inches

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On a numbered cube what is the probability that you will roll an odd number twice in a row
Dafna1 [17]

Answer:

The probability of rolling a specific number twice in a row is indeed 1/36

Step-by-step explanation:

because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6)

7 0
3 years ago
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goldfiish [28.3K]
Setup is
y = k/x
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3 years ago
7.1 A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails,
Tcecarenko [31]

Answer:

1.875

Step-by-step explanation:

To find the expected winnings, we need to find the probability of all cases possible, multiply each case by the value of the case, and sum all these products.

In the die, we have 6 possible values, each one with a probability of 1/6, and the value of each output is half the value in the die, so we have:

E_1 = \frac{1}{6}\frac{1}{2}  + \frac{1}{6}\frac{2}{2} +\frac{1}{6}\frac{3}{2} +\frac{1}{6}\frac{4}{2} +\frac{1}{6}\frac{5}{2} +\frac{1}{6}\frac{6}{2}

E_1 = \frac{1}{12}(1+2+3+4+5+6)

E_1 = \frac{21}{12} = \frac{7}{4}

Now, analyzing the coin, we have heads or tails, each one with 1/2 probability. The value of the heads is 2 wins, and the value of the tails is the expected value of the die we calculated above, so we have:

E_2 = \frac{1}{2}2  + \frac{1}{2}E_1

E_2 = 1  + \frac{1}{2}\frac{7}{4}

E_2 = 1  + \frac{7}{8}

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3 0
3 years ago
Need help with this problem
lesantik [10]
2sinxcosx is equal to sin(2x)


therefore,

= sin(2x)/cos(2x)
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4 0
3 years ago
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If sin 115° ≈ 0.91 and cos 115° = -0.42, then sin -115° =
EastWind [94]

Answer:

sin -115° = -0.91

Step-by-step explanation:

Point A is (cos 115°, sin 115°). Since cos 115° = -0.42 and sin 115° ≈ 0.91, it means that the coordinates at point A is (-0.42, 0.91).

As for point B which was revolved around -115°,

the coordinates will be similar to point A but you just have to change the negative.

B(cos -115°, sin -115°) = B(0.42, -0.91)

3 0
3 years ago
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