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3 years ago

Given that

Mathematics

1 answer:

timofeeve [1]3 years ago

6 0

Answer:

Step-by-step explanation:

(sec α - tan α)(sec α + tan α) = sec^2 α - tan^2α

But sec^2 α = 1 + tan^2 α so

sec^2 α - tan^2α = 1 + tan^2 α - tan^2α

= 1

so 1 = (sec α - tan α)(sec α + tan α) = 1/4 * x where x is sec α + tan α

1/4 * x = 1

x = 4.

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Answer:

they have the same area

Step-by-step explanation:

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3 years ago

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3 years ago

Math (will give Brainliest) 1

Zielflug [23.3K]

Answer: Okay! Here is your answer!

Exact form : 41/6

Decimal form : 6.83 (line over the 3)

Mixed number form : 6 5/6

Step-by-step explanation: Substitute the value of the variable into the equation and simplify.

Hope this is what you were looking for and I hope it helps you out! ☺

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3 years ago

If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2

Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

$h(x)=f\circ g(x)$

Here,

$h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}$

We need to find the value of g(x):

$f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3$

Hence, the value of g(x) is x+3.

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3 years ago

Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced

Naddika [18.5K]

Answer:

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Step-by-step explanation:

In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:

5,280 (the number of feet in 1 mile) / 33

5,280/33=160

The posts are 160 feet apart from each other.

HTH :)

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2 years ago