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vaieri [72.5K]
3 years ago
6

Sec squared 55 - tan squared 55

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

<u>Answer: </u>

sec squared 55 – tan squared 55  = 1

<u>Explanation:</u>

Given, sec square 55 – tan squared 55

We know that,

\sec \Theta=\frac{\text {hypotenuse}}{\text {base}}

And,

\tan \theta=\frac{\text { perpendicular }}{\text { base }}

where Ө is the angle

Substituting the values

\left(\frac{\text {hypotenuse}}{\text {base}}\right)^{2}-\left(\frac{\text { perpendicular }}{\text {base}}\right)^{2}

Solving,

\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}

According to Pythagoras theorem,

\text { (hypotenuse) }^{2}-\text { (perpendicular) }^{2}=(\text { base })^{2}

Putting this in the equation;

squared 55 - tan squared 55 =

\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}=\frac{(\text {base})^{2}}{(\text {base}) *(\text {base})}=1

Therefore, sec squared 55 – tan squared 55 = 1

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otez555 [7]
The answer would be p= -2

To check it:
-2(5(-2) - 3) = 26
-2(-10-3) = 26
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26 = 26

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3 years ago
Explain how to use a model to find the quotient. 2 1/2 divided by 2
dedylja [7]
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— 00 o
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5 0
3 years ago
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8 0
3 years ago
A train stops at Atlanta, then at Bayville, and then at Colleyville. The
Nezavi [6.7K]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as what is required of the question is not stated.</em>

<em>However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.</em>

Represent the distance from Atlanta to Colleyville with AC

Represent the distance from Atlanta to Bayville with AB

Represent the distance from Bayville to Colleyville with BC

So, we have that:

AC = 25.5\ miles

AB = 10\frac{2}{3}\ miles

The relationship between AB, AC and BC is:

AC = AB + BC

Make BC the subject of formula:

BC = AC - AB

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Convert fraction to decimal

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<em>Hence, the distance from Bayville to Colleyville is 14.8 miles</em>

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3 years ago
each student desk holds 6 textbooks. if there are 12 desks in a room. How many textbooks can they hold altogether.
kogti [31]

Answer:

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