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3 years ago

Simplify the expression: - 4t+ - 7t+3–10t

Mathematics

1 answer:

Gekata [30.6K]3 years ago

8 0

Answer:t+3

Step-by-step explanation:

4t+7t+3-10t

11t+3-10t

t+3

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Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

2 years ago

1.01x10^4 decimal notation

marshall27 [118]

$1.01\times10^4=1.01\times10,000=1\underbrace{0100}_{4\to}=10,100$

Answer:

1.01 × 10⁴ - scientific notation

10,100 - decimal notation

4 0

2 years ago

True or False <br> If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?

DIA [1.3K]

Answer:

true

Step-by-step explanation:

5 0

2 years ago

Explain how to model the problem with algebra tiles and then write an algebraic expression that represents the situation.

jeka57 [31]

Step-by-step explanation:

the answer is in the picture

8 0

3 years ago

Read 2 more answers

Help: I am a number between 60 and 100. My ones digit is six less than my tens digit. I am a prime number.

Reptile [31]

Answer:

Let's name the digit:

x- ones digit

y - tens digit

we know that x=y-2.

Now, y can be 6,7,8,9 (the number is between 60 and 100 (so depending on your understanding of "between", 0 is also possible. but then the number would have to have -2 as its ones digit, so in any case, it's not possible).

So the possibilities with x=y-2:

Out of those 64 and 86 are even, so they can't be prime.

75 has 5 in its ones number: it's divisible by 5.

so the correct answer is 97.

Step-by-step explanation:

Hope this helps!

5 0

3 years ago

Read 2 more answers