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

Mathematics

1 answer:

Crazy boy [7]2 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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2 years ago

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zloy xaker [14]

Answer:

$1)\ \ 4h^2-13h+6\\2)\ \ 7x^3y^2-x^2y+1\\3)\ \ -7n+2\\4)\ \ -8m+4$

Step-by-step explanation:

Simplify the expression by combining like terms. Remember, like terms have the same variable part, to simplify these terms, one performs operations between the coefficients. Please note that a variable with an exponent is not the same as a variable without the exponent. A term with no variable part is referred to as a constant, constants are like terms.

$2h^2-7h+2h^2-h+6+4h-9h$

$(2h^2+2h^2)+(-7h-h+4h-9h)+(6)$

$4h^2-13h+6$

Use a very similar method to solve this problem as used in the first. Please note that all of the rules mentioned in the first problem also apply to this problem; for that matter, the rules mentioned in the first problem generally apply to any pre-algebra problem.

$8x^3y^2-7x^2y+8x-4-x^3y^2+2x^2y+4x^2y-8x+5$

$(8x^3y^2-x^3y^2)+(-7x^2y+2x^2y+4x^2y)+(8x-8x)+(-4+5)$

$7x^3y^2-x^2y+1$

Use the same rules as applied in the first problem. Also, keep the distributive property in mind. In simple terms, the distributive property states the following ( $a(b+c)=(a)(b)+(a)(c)=ab+ac$ ). Also note, a term raised to an exponent is equal to the term times itself the number of times the exponent indicates. In the event that the term raised to an exponent is a constant, one can simplify it. Apply these properties here,