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3 years ago

TWO QUESTIONS. SINES AND COSINES. SERIOUS HELP ONLY. WILL REPORT IF NEEDED.

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

5 0

The answers per item are shown below:
1. Solving for x, we use Laws of Sines such as
38/sinX=22/sin35°
sinX=(38/22)*sin35
X=82.19°
The answer for item 1 is x equal to 82.19°.
2. Solving for d, we still apply Laws of Sines such as
d/sin70°=42/sin41°
d=42sin70°/sin41°
d=60.16 ft.
The answer for item 2 is d equal to 60.16 feet.

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A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting i

KonstantinChe [14]

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

7 0

3 years ago

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago

Please please please help me!

mafiozo [28]

T(x, y) = (x - 5, y - 6) since you are trying to translate back to the original point and therefor should do the reverse set of translations

5 0

3 years ago

Use the right triangle shown to answer the question.

Burka [1]

Answer:45

Step-by-step explanation:

8 0

3 years ago

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WILL MARK BRAINLIEST what is the standard deviation for the normal distribution shown at the right?

MrRissso [65]

Answer: 916. Because if you do 856+60=916.

Step-by-step explanation: The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. Formula: and natural statistics x and x2. The dual expectation parameters for normal distribution are η1 = μ and η2 = μ2 + σ2.

8 0

3 years ago