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2 years ago

Find X. Round to the nearest tenth.

Mathematics

1 answer:

lina2011 [118]2 years ago

8 0

Answer:

21.4 degrees =x

Step-by-step explanation:

We can use the law of sines to solve this problem

sin A Sin B

------------ = ----------

a b

where A is the angle and a is the opposite side

sin 42 Sin x

------------ = ----------

22 12

Using cross products

12 sin 42 = 22 sin x

Divide by 22

12/22 sin 42 = 22/22 sin x

12/22 sin 42 = sin x

Take the arcsin of each side

arcsin (12/22 sin 42) = arcsin( sin x)

arcsin (12/22 sin 42) = x

21.40637223=x

Rounding to the nearest tenth

21.4 degrees =x

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The point (5,6) is the solution to which of the following systems of equations

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Answer:

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Step-by-step explanation:

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3 years ago

A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a r

padilas [110]

Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,

33.7625 9.7125 30.525

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Using chi^2 = Sum[(O - E)^2/E],

chi^2 = 4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a = 3

b = 2

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chi^2(critical) = 5.991464547

Also, the p value is

P = 0.106331579

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6 0

3 years ago

Solve for x in the equation x^2-10x+25=35.

KatRina [158]

So, this is too vague but I'll solve for both quadratic formula and find the discriminant.

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Finding the discriminant: 141

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3 years ago

Read 2 more answers

Parker Middle School's chior needs to raise $480 for an upcoming trip they will take. At their first fundraising project, they r

harkovskaia [24]

The money does the choir still need to raise is $180.

Step-by-step explanation:

The money needed to be raised by the choir for an upcoming trip = $480.

It is given that, the money needed was raised in two fundraising projects.

During the first fundraising project :

The choir raised 25% of the money needed for the trip.

⇒ 25% of 480

⇒ (25/100) × 480

⇒ (1/4) × 480

⇒ 120

Therefore, the first fundraising project raised $120.

During the second fundraising project :

The choir raised 3/8 of the money needed for the trip.

⇒ 3/8 of 480

⇒ (3/8) × 480

⇒ 3 × 60

⇒ 180

Therefore, the second fundraising project raised $180.

To find the money does the choir still need to raise :

You need to find the remaining amount from the 480 after raising money from the two fund raising projects.

For that, find out how much you raised from those fund raising projects and subtract it from the 480.

Money needed = Total money required for the trip - Raised money

⇒ 480 - (120+180)

⇒ 480 - 300

⇒ 180 dollars.

The money does the choir still need to raise is $180.

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3 years ago

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MrRa [10]

Answer:

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Step-by-step explanation:

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2 years ago