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2 years ago

Simplify 1+tan^2 x / tan^2 x a) sin^2 x b) csc^2 x c) sec^2 x d) cos^2 x

Mathematics

1 answer:

rodikova [14]2 years ago

5 0

Answer:

cosec²x is the answer

Step-by-step explanation:

$\frac{1+tan^2x}{tan^2x} \\\\\frac{sec^2x}{tan^2x} \\\\\frac{\frac{1}{cos^2x} }{\frac{sin^2x}{cos^2x} }\\\\\frac{1}{sin^2x}\\\\cosec^2x$

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Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2

disa [49]

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

$x + y = 19\\0.25x + 0.30y = 5.10$

From the first equation we have to:

$x = 19-y$

replacing in the second equation:

$0.25 (19-y) + 0.30y = 5.10\\4.75-0.25y + 0.30y = 5.10\\4.75 + 0.05y = 5.10\\0.05y = 5.10-4.75\\0.05y = 0.35\\y = \frac {0.35} {0.05}\\y = 7$

So, Carl bought 7 Gala apples

On the other hand:

$x = 19-7 = 12$

So, Carl bought 12 Granny Smith apples

Answer:

Carl bought 7 Gala apples and 12 Granny Smith apples

8 0

2 years ago

2/3 divided by 11/15

NNADVOKAT [17]

You need to implement the process of "flip-flop" and multiply which is where you flip the second fraction and multiply.

$\frac{2}{3}$ ÷ $\frac{11}{15}$ ⇒ $\frac{2}{3}$ × $\frac{15}{11}$

Now you multiply across. 2×15=30 and 3×11=33

So now it is $\frac{30}{33}$

-----------------------------------------------------------
To reduce to the lowest terms, find the GCF common factor

The GCF is 3

Divide both the numerator and denominator by 3

$\frac{30}{33}$ ÷ $\frac{3}{3}$ = $\frac{10}{11}$

Answer: $\frac{10}{11}$

7 0

2 years ago

12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential

kondor19780726 [428]

Answer:

18 minutes

Step-by-step explanation:

if you divide 109 by 6, ya get 18.166666-

6 0

2 years ago

I have no idea what this is can someone please help

siniylev [52]

Plug in the number from f(x) with the x value

For example
f(9)=(9)^2-25
81-25
F(9)=56

That’s one answer.

Hope it helps!

4 0

1 year ago

Read 2 more answers

Que transformacion sufrio la grafica de la funcion madre de f (x) = 2x a la 2 -7

Vladimir [108]

Answer:

could you ask in english

Step-by-step explanation:

7 0

2 years ago