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2 years ago

Choices: 14.63 26.96 36.95 61.51 Correct answers show work!

Mathematics

1 answer:

myrzilka [38]2 years ago

6 0

Tan(angle) = opposite leg / adjacent leg.

Tan(64) = x /30

x = 30 * tan(64)

x = 61.51

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Mark all true statements. Group of answer choices

laiz [17]

Answer:

True

False

Step-by-step explanation:

a) The first statement is the basis for Euclid's algorithm to compute the gcd of two nonnegative integers a,b. You can prove this as follows.

Let G=gcd(a,b). Since r=a-bq and G divides a and G divides b, then G divides r. Now, G divides a and G divides r, hence G divides gcd(b,r).

On the other hand, since a=bq+r, and gcd(b,r) divides b and r, then gcd(b,r) divides a. Therefore gcd(b,r) divides a and b, which implies that gcd(b,r) divides G.

x divides y and y divides x implies that |x|=|y|. The GCD's are nonnegative, therefore G=gcd(b,r).

b) It is false. In general, to test for primality of N, you have to check that all primes smaller than N do not divide N. In this case, we have to check for 2,3,5,7,11,13,17,19,23,...

101 is prime, but this may be false in general. For example, consider N=13*11=143. N is not prime, and n is not divisible by 2,3,5, or 7.

5 0

3 years ago

Write the expression in exponential form. <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B10%7D%20" id="TexFormula1" title="

adoni [48]

<h3>Answer: 10^(1/2)</h3>

When we use an exponent of 1/2, it is the same as a square root. The more general rule is

$\sqrt{x} = x^{1/2}$

In this case, we plug in x = 10.

The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because

$\sqrt[3]{x} = x^{1/3}$

Many calculators don't have a button labeled $\sqrt[3]{}$ but they have the button $x^y$ to allow fractional exponents.

3 0

3 years ago

Someone please convert this equation to slope intercept form: 2x - 3y = 6?

IgorLugansk [536]

Slope y-intercept form is: y=mx+b

All you have to do is rearrange the equation:

2x-3y=6
2x=6+3y
2x-6=3y

now divide both sides by 3
(2x/3)-(6/3)=(3y/3)

and it becomes
$y= \frac{2}{3}x-2$ x

Bonus: you can plug in any two values for x and y and you can see both equation gives the same answer!

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3 years ago

Polygon P'Q'R'S'T' shown on the grid below is an image of polygon PQRST after dilation with a scale factor of 3, keeping the ori

Allushta [10]

Answer:

D is the answer

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3 years ago

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Plz hurry<br> Which graph best represents the equation 5x + y = 4?

il63 [147K]

Answer: