All categories

3 years ago

Which of the following choices shows the complete factorization of 50?

Mathematics

2 answers:

finlep [7]3 years ago

7 0

Answer:

prime factorization = 2

Elan Coil [88]3 years ago

3 0

Answer: 50 is a composite number. 50 = 1 x 50, 2 x 25, or 5 x 10. Factors of 50: 1, 2, 5, 10, 25, 50. Prime factorization: 50 = 2 x 5 x 5, which can also be written 2 x 5

Step-by-step explanation:

You might be interested in

Find the x-values that are solutions of the equation 5cot^2x-15=0

julia-pushkina [17]

First solve for the trig function 'cot'
$cot^2 x = \frac{15}{5} = 3$

Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

3 0

3 years ago

What is −13+2z=−56 Thanks

Zinaida [17]

<h3>Original Equation:</h3>

$-\frac{1}{3}+2z=-\frac{5}{6}$

<h3>Steps:</h3>

<em>*To solve for a variable, isolate the desired variable onto one side.</em>

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

$-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}$

Now that we have common denominators, add both sides by 2/6:

$2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}$

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that <u>dividing by a number is the same as multiplying by it's reciprocal.</u> To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a <em>whole number</em> this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

$\frac{1}{2}\times 2z= -\frac{1}{2}\times \frac{1}{2}\\\\z=-\frac{1}{4}$

<h3>Final Answer:</h3>

<u>Your final answer is z = -1/4.</u>

7 0

3 years ago

There are four triangles and 16 squares what is the simplest was ratio of triangles to squares

Elis [28]

1:4 would be the best ratio

5 0

3 years ago

18 3/8f = -29 4/7 please help

KatRina [158]

Answer:

f=-552 /343 or 5=1 and 209/343

Step-by-step explanation:

4 0

3 years ago

Verify the identity<br><br>

Oxana [17]

Answer:

see below

Step-by-step explanation:

sin x 1

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

sec^2 x - tan ^2 x csc x

Sec = 1/cos and tan = sin/cos

sin x 1

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

1/ cos ^2 x -sin^2/cos ^2 x csc x

Factor the denominator

sin x 1

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

(1-sin^2 x)/ cos ^2 x csc x

We know that 1 - sin^2 x = cos ^2

sin x 1

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

(cos^2 x)/ cos ^2 x csc x

sin x 1

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

1 csc x

Multiply the top and bottom of the left hand side by 1/ sin x

sin x * 1/ sin x 1

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

1 * 1 sin x csc x

1 1

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

1 sin x csc x

We know that 1/sin x = csc

1 1

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

csc (x) csc x

3 0

3 years ago