If the tangent of an angle of a right angled triangle is 0.8 , then it's longest side is

Mathematics

1 answer:

Blababa [14]4 years ago

8 0

Step-by-step explanation:

Assume non-hypotenuse sides are 4 and 5, so tan =4/5=0.8 . Then hypotenuse is sqrt(16+25) = sqrt(41) So sides are 4,5,sqrt (41).

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Determine if x-6 is a zero and find the quotiant and the remainder

sergiy2304 [10]

Answer:

○ A. No, x = -6 is not a zero of the polynomial.

The quotient is x - 29, and the remainder is 234.

Step-by-step explanation:

[x - 3][x - 20] >> Factored Form

Obviously, this is not a zero. Now, to get the remainder, we have to plug in the vertical line of x = -6 into its conjugate, meaning an expression with opposite signs, which is x + 6. This is the expression we divide the dividend by, so you will have this:

\frac{{x}^{2} - 23x - 60}{x + 6}

Since the divisor is in the form of x - c, using Synthetic Division, we get this:

x - 29 + \frac{234}{x + 6}

You see? You have x - 29 in the quotient, and you have 234 as the numerator remainder.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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The length of one leg of a right triangle is 24 feet and the length of the hypotenuse is 40 ft what is the length of the other l

Rama09 [41]

To solve for the other leg, you need to use Pythagorean theory.

The theory states that C^2 = A^2 + B^2

In your case, you have to solve for B.
C = 40 (hypotenuse) A = 24 (leg 1)

The formula rewritten for B is $b= \sqrt{c^{2}-a^{2} }$

Now, you can solve.

$b= \sqrt{c^{2}-a^{2} }

b= \sqrt{40^{2}-24^2 }

b = \sqrt{1600 - 576}

b = \sqrt{1024}

b = 32$

Therefore, B = 32.

So the second leg is 32 feet.

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4 years ago

My teacher made me do work that i dont understand!

Vlada [557]

To compute the GCF of two number, you need their prime factorization.

Then, you "build" the GCF by only considering the primes appearing in both factorization, with the smaller exponent possible.

So, to compute the GCF between 6 and 9, you first consider their factorization:

$6 = 2 \times 3$