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3 years ago

Enter the distance between the two buoy's rounded to the nearest foot.

Mathematics

1 answer:

Crazy boy [7]3 years ago

5 0

Answer:

483 feet.

Step-by-step explanation:

Observe the triangle that is given to use. Next you want to find your adjacent, opposite, and hypotenuse of angle A. AB would be considered your adjacent because it is between angle A and your 90 degree angle, your opposite would be CB because it is directly across from angle A and AC is your hypotenuse because it is directly across your right angle.

Now with your given angle you want to use SOH CAH TOA to figure out what to use for this. You are given the length of AB, which is your adjacent. You want to also find the hypotenuse therefore you would use the CAH (Cosine, Adjacent, Hypotenuse).

You would want to then see this as cos(21.3)= $\frac{450}{x}$ with x being your hypotenuse. Now you want to get x by itself so you would then set this up as 450/cos(21.3)=x. Put this in your calculator and it would equate to 482.992 which is rounded off to 483 feet.

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The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the su

Wewaii [24]

Answer: 0.0667117 * $10^{6}$ miles

Step-by-step explanation: The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the sun is approximately 0.9863 degrees per day. If we assume the orbit of the Earth is completely circular, what is the linear speed in miles per hour?

Step-by-step explanation: First, a day has 24 hours. Knowing how far the earth travels in day we can say:

0,9863 degrees/day = 0,9863 degrees/(24 hours)

0,9863 degrees/day = 0.0411 degrees/hours

Also, we know the orbit completely circular, so the total distance on, degrees, is 360°. Also this distance can be know with the formula:

Total Circuference = 360° = 2*pi* R

Because Radius is variable for any circle. It is say that:

360° = 2*pi radians

WIth this relation, we can know how many radians are 0.0411 degrees

360/0.0411 = (2*pi)/x

x = (2*pi*0.0411)/(360)

X = 0.00071733032

X is how much the Earth travels per hour in Radians.

Multiplying per Radius:

Earth distance traveled per hour = 0.0667117 * $10^{6}$ miles

8 0

3 years ago

Simplify the expression 2(x-6)+2(8)

jolli1 [7]

Answer:

2x+4

Step-by-step explanation:

Distribute:

=(2)(x)+(2)(−6)+(2)(8)

=2x+−12+16

Combine Like Terms:

=2x+−12+16

=(2x)+(−12+16)

=2x+4

8 0

3 years ago

Estimation is best defined as: a. both a process of inferring the values of unknown samples statistics from those of known popul

Ghella [55]

Answer:

Option D is the correct answer - Estimation is best defined as a process of inferring the values of unknown samples statistics from those of known population parameters

Step-by-step explanation:

Estimation involves the usage of the value of a statistic derived from a sample to estimate the value of a corresponding population parameter.

The sample provides information that can be extended, through several formal or informal processes, to determine a range most suitable to describe the missing information.

An estimate that turns out to be incorrect would either be termed as over-estimation or under-estimation. If the estimate exceeds the actual result, it is termed as an over-estimation, and as an under-estimation, if the estimate came short of the actual result.

Thus, option D is correct.

8 0

3 years ago

If arc AB = 130°, calculate the m angle ABC circle O with chord AB and tangent BC; the measure of angle ABC is x

suter [353]

The measure of angle ABC would be 66 degrees

4 0

3 years ago

Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \under

saw5 [17]

Answer:

$\[x^2 + 22x + 121\]$