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d^2  = 3520     take the square root of both sides

d = sqrt (3520)  ≈  59.33

M=232,792,560 = 2^4×3^2×5×7×11×13×17×19.

It has 12 prime factors. 8 of them are distinct. 

It has a total of 960 divisors!.

Answer: 8

1 1/2 

LCM of numbers 1-20: 232,792,560 

https://www.integers.co/questions-answers/what-is-the-total-number-of-factors-of-the-number-232792560.html

title problem solved, thanks

Here I just finished answering it:

\(\sec(t) = -\frac{13}{3} \\~\\ \cos(t)=-\frac{3}{13}\)

Here is a drawing of that:

By the definition of tangent:

\(\tan (t)=\frac{y}{-3/13}\)

Solve for y with the pythagorean theorem.

\(y^2+(-\frac{3}{13})^2=1 \\~\\ y^2=1-\frac{9}{169} \\~\\ y=\sqrt{\frac{160}{169}} \\~\\ y=\frac{4\sqrt{10}}{13}\)

Now substitute.

\(\tan (t)=\frac{(\frac{4\sqrt{10}}{13})}{-3/13} \\~\\ \tan(t)=(\frac{4\sqrt{10}}{13})*(-\frac{13}{3}) \\~\\ \tan(t)=-\frac{4\sqrt{10}}{3}\)

https://www.algebra.com/algebra/homework/Square-cubic-other-roots/Square-cubic-other-roots.faq.question.304271.html 

http://www.webmath.com/cn_i.html 

Will this help? (Also: 8 sq. root 8 is 22.627416998)

*brain explodes* 

No pictures to go with the problems visible, therefore not enough information

Not enough details on question...?

http://www.tiger-algebra.com/drill/x~6-64/

^ Would this help?

https://www.mathway.com/examples/trigonometry/graphing-trigonometric-functions/amplitude-period-and-phase-shift?id=342 

^ Is this relevant?

I'm using Chrome and had to click the verify thing 

im confuzzld

Lol ty

\(\frac{0.25\text{ gallons}}{3.5 \text{ miles}}=\frac{0.25/3.5\text{ gallons}}{3.5/3.5\text{ miles}} \approx \frac{1/14\text{ gallons}}{1\text{ mile}}\)

It will take 1/14 of a gallon to drive one mile.

Nice answer, Neptune.......and welcome aboard.....!!!!

Thanks!

Would this help? 

"To remember which trig functions are positive in each quadrant, remember this phrase: 

"All Students Take Calculus" 

Write the first letter of each word (A-S-T-C) in Quadrants 1 to 4 (going counter-clockwise). 

S | A 
--+--- 
T | C 

In Quadrant 1, "A" means All functions are positive there. 
In Quadrant 2, "S" means the Sine (and its reciprocal, cosecant) is positive. 
In Quadrant 3, "T" means the Tangent (and its reciprocal, cotagent) is positive. 
In Quadrant 4, "C" means the Cosine (and its reciprocal, secant) is positive. 

And, of course, this diagram indicates where the positive values are. 
(There's a huge plus-sign in the center!) 

Every function will have two places where it is positive. 
Cosine positive (Cos and All) --> C + A 
Sine positive (Sin and All) --> S + A 
Tan positive (Tan and All) --> T + A 

Every function will have two places where it is *negative* 
Cosine negative (not C or A) --> S + T 
Sine negative (not S or A) --> C + T 
Tan negative (not T or A) --> C + S 

Use that and the diagram to figure out your answers: 

S | A 
--+--- 
T | C "

$12.75 / 8 slices = $1.59375 per slice

$2.00 is what percent of $1.59375 ?

\(\frac{$2.00}{$1.59375}=\frac{x}{100} \\~\\ 125.5 \approx x\)

They sell each slice for 125.5 % of the original price. That is a 25.5% profit.

True