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blondinia [14]
3 years ago
12

Find an angle where sine and cosine are equal. find the tangent of that angle

Mathematics
1 answer:
algol133 years ago
6 0

Answer: The angle is 45\° and the tangent is 1

Step-by-step explanation:

The angle \theta at wich the functions sine and cosine are equal is 45\°. Let's prove it:

sin (45\°)=0.7071

cos (45\°)=0.7071

Hence:

sin (45\°)=cos (45\°)

On the other hand, the tangent function is defined as:

tan \theta=\frac{sin \theta}{cos \theta}

Then:

tan (45\°)=\frac{sin (45\°)}{cos (45\°)}

tan (45\°)=\frac{0.7071}{0.7071}

tan (45\°)=1

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The equation which correctly represents this situation is
uranmaximum [27]

Answer:

C) x2 + x = 306

Step-by-step explanation:

x2 + x = 306

x2 + x - 306  = 0

x2  + 18x - 17x + 18 * (-17) = 0

x ( x + 18) - 17 (x +18) =0

(x + 18) (x - 17 ) = 0

x = -18 or 17

5 0
3 years ago
A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square
Step2247 [10]
Your answer should have been 3850 in^2 

1^2/5^2 = 1/25

1/25 = 154/x
1x= 154 (25)
1x/1= 3850/1
x= 3850
8 0
3 years ago
Read 2 more answers
Add and subtract rational numbers without common denominators. Show work! 1. 7/4 - 3/2 - 2/5 = 2. - 5/16 + 3/4 + 1/8 = 3. 3/4 -
alukav5142 [94]
\dfrac{7}{4}  -  \dfrac{3}{2} -  \dfrac{2}{5}

= \dfrac{7 \times 5}{4 \times 5}  -  \dfrac{3 \times 10}{2 \times 10} -  \dfrac{2 \times 4}{5 \times 4}

= \dfrac{35}{20}  -  \dfrac{30}{20} -  \dfrac{8}{20}

= \dfrac{35-30-8}{20}

= \dfrac{3}{20}

---------------------------------------------------------------

-\dfrac{5}{16}  + \dfrac{3}{4} + \dfrac{1}{8}

= -\dfrac{5}{16}  + \dfrac{3 \times 4}{4 \times 4} + \dfrac{1 \times 2}{8 \times 2}

= -\dfrac{5}{16}  + \dfrac{12}{16} + \dfrac{2}{16}

= \dfrac{-5+ 12 + 2}{16}

= \dfrac{9}{16}

---------------------------------------------------------------

\dfrac{3}{4} -  \dfrac{1}{3} - \dfrac{7}{12}

= \dfrac{3 \times 3}{4 \times 3} -  \dfrac{1 \times 4}{3 \times 4} - \dfrac{7}{12}

= \dfrac{9}{12} -  \dfrac{4}{12} - \dfrac{7}{12}

= \dfrac{9 - 4 - 7}{12}

= -\dfrac{2}{12}

= -\dfrac{1}{6}

---------------------------------------------------------------

\dfrac{2}{9}  -  \dfrac{2}{12} -  \dfrac{2}{3}

= \dfrac{2}{9}  -  \dfrac{1}{6} -  \dfrac{2}{3}

= \dfrac{2 \times 2}{9 \times 2}  -  \dfrac{1 \times 3}{6 \times 3} -  \dfrac{2 \times 6}{3 \times 6}

= \dfrac{4}{18}  -  \dfrac{3}{18} -  \dfrac{12}{18}

= \dfrac{4 - 3 - 12}{18}

= - \dfrac{11}{18}
6 0
3 years ago
Dale currently has $599 in his savings account. Prior to getting paid, he had $230 in his savings account. How much was Dale’s p
nlexa [21]
Hi!

So really focus on the fact that he started at $230, and then added an amount of money which we'll call x, which made his total equal $599. 

Take the parts I put in bold, and write the equation.
$230 + x = $599

Now we need to find x. 

Whatever we do to the equation, we do it to both sides. 
Our goal is to isolate x on one side. 

Subtract 230 from both sides. 
$230 - $230 + x = $599 - $230
x = $369

The answer is A. $230 + x = $599 x = $369

Hope this helps! :)
-Peredhel
8 0
3 years ago
Help I’ve been working on this problem for about 2 days and I still don’t get it and please explain and show me how to do the wo
Bond [772]

the boiling point of jet fuel is 329 degrees F. Rounded to the nearest degree, what is the temperature in degrees Celcius? Use the Formula: C = 5/9(F - 32), where C represents degrees celcius, and F represents degrees fahrenheit.

A). 165 degrees C

B). 183 degrees C

C). 201 degrees C

D). 535 degrees C

Solve:

C = 5/9(F - 32)

Simplify both sides:

C = 5/9(329 - 32) = 0

Simplify:

5/9

Equation at end of step 1:

C - (5/9 * 297) = 0

C - 165 = 0

Solve single variable:

C - 165 = 0

Add 165 to both sides:

C = 165

Therefore, Your answer would be, Letter Choice (A), (C = 165 degrees C

Hope that helps!!!!! Have a great day!!!!! : )

4 0
3 years ago
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