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KIM [24]
3 years ago
9

If someone could answer this problem and explain how to do it that would be a HUGE help thanks-

Mathematics
2 answers:
nekit [7.7K]3 years ago
6 0
The answer is 19 inches. Hope it helps.
weeeeeb [17]3 years ago
5 0

Answer:

The answer to your question is 19 in²

Step-by-step explanation:

Data

angle = Ф = 25°

hypotenuse = 10 in

Area = ?

Process

1.- Calculate the long and short legs of this triangle using trigonometric functions.

        sin Ф = Opposite side / hypotenuse

-Solve for Opposite side

        Opposite side = hypotenuse x sin Ф

-Substitution

        Opposite side = 10 x sin 25

-Result

        Opposite side = 4.22 in = short leg (height)

        cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

        Adjacent side = hypotenuse x cosФ

-Substitution

        Adjacent side = 10 x cos 25

-Result

        Adjacent side = 9.06 in = long leg = base

2.- Calculate the area

Area = base x height / 2

-Substitution

Area = 9.06 x 4.22 / 2

-Result

Area = 19.12 in² ≈ 19 in²

 

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1 year ago
What is 3/18 written in simplest form explain how you found your answer
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This is confusion please help
oksano4ka [1.4K]

Answer:

c = 5√5

Step-by-step explanation:

When we have a right triangle, there is a property about its measurements that is <em>always</em> true, and its called the "Pythagorean Theorem"

First, let's understand the basic terms we use to describe the sides of a triangle:

we can call one leg "a", the other leg "b" and the slanted side "c"

("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)

the pythagorean theorem:

a² + b² = c²

here, our "a" is 5, our "b" is 10 {and we don't know what c is}

let's try plugging these values into our formula:

a² + b² = c²

5² + 10² = c²

25 + 100 = c²      

125 = c²

now, we know what c² is--but we want to know c,

so we must take the square root of both sides

√125 = √c²

√125 = c

now, while √125 <em>is </em>our answer, we can simplify further!

this is because 125 can be made up of 5 · 25

so, \sqrt{125} = \sqrt{5*25}

and

\sqrt{5*25}=\sqrt{5}*\sqrt{25}

we can take out the square root of 25 (5):

=\sqrt{5}*5

we write this as such: 5\sqrt{5}

so, in simplest radical form, c = 5√5

(√125)

hope this helps!! have a lovely day :)

4 0
2 years ago
Write an inequality for the graph. Then, in words, describe all the values of x that make inequality true.
GarryVolchara [31]
  • The equivalent inequality for the number line is x < 8
  • The equivalent inequality for the number line is x ≥-5

<h3>Inequality functions </h3>

The inequality expression is an expression not separated by an equal sign,

11) The equivalent inequality for the number line is x < 8. This shows that the values of x that make it true must be less than 8.

Note that the sign is less than because the circle is open and moves towards the left of the number line

11) The equivalent inequality for the number line is x ≥-5. This shows that the values of x that make it true must be greater than or equal to 8.

Note that the sign is  greater than or equal to because the circle is closed and moves towards the right of the number line

Learn more on number line here:brainly.com/question/24644930

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2 years ago
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