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3 years ago

(Right angle Trigonometry) Please help me solve and explain!

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

31.3

Step-by-step explanation:

Reference angle given = 56.1°

Hypotenuse = 56.1

Adjacent side = x = ?

We would apply CAH, which is:

Cos 56.1° = Adj/Hyp

Cos 56.1° = x/56.1

56.1 × Cos 56.1° = x

31.2895006 = x

x = 31.3 (approximated to the nearest tenth)

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Assume that 13% of people are left-handed. If we select 10 people at random, answer the following questions:

Anastasy [175]

Answer:

0.099, 0.969,0.87,8.3.1.063

Step-by-step explanation:

Let X be the left handed people in the sample of 10 people selected.

X is binomial with n=10 and p = 0.13

a) the probability that there are exactly 3 lefties in the group

= $P(x=3) = 10C3 (0.13)^3 (0.87)^7\\= 0.09945\\=0.099$

b) the probability that there are at least 3 lefties in the group

= $P(X\geq 3) =0.9687\\=0.969$

Now Y number of right handers is binomial with n =10 and p = 0.87

c) the expected number of right-handers in the group.

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d) the standard deviation of the number of right-handers in the group

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5 0

3 years ago

What Value of X satisfies this equation?

Salsk061 [2.6K]

Answer:

x=0

Step-by-step explanation:

4 ( 2.5) ^x = 4

Divide each side by 4

4/4 ( 2.5) ^x = 4/4

( 2.5) ^x = 1

Take the log of each side

log ( 2.5) ^x = log (1)

x log ( 2.5) = log 1

x log (2.5) = 0

Divide each side by log (2.5)

x = 0

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3 years ago

More math and its my last question

vaieri [72.5K]

We know that ∠1 equals ∠3, from that we can find x:

$10x = 100 \\ x = 10$

The sum of ∠1 and ∠2 must equal 180°:

$10x + 10y + 20 = 180$

Since we already know x, we can solve for y:

$10 \times 10 + 10y + 20 = 180 \\ 10y + 120 = 180 \\ 10y = 60 \\ y = 6$

Result: x=10, y=6

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3 years ago

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Diano4ka-milaya [45]

Answer:

c your welcome

Step-by-step explanation:

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3 years ago

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3 years ago