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4 years ago

10 points and brainliest to correct answer plz

Mathematics

1 answer:

USPshnik [31]4 years ago

4 0

By the pythagorean theorem, we know that (leg1)^2 + (leg2)^2 = hypotenuse^2. to see the proof refer to the following link: http://jwilson.coe.uga.edu/EMT668/EMT668.Student.Folders/HeadAngela/essay1/Pythagorean.html
plugging in what we know we have 16^2 + leg^2 = 20^2 and we find that leg = 12.

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Number 22 plz I need help I'm totally lost

borishaifa [10]

The answer would be $10.31 us dollars

7 0

3 years ago

I need help with angles and the measure of them i have abc a is 65 and b is (3x-10) and c is (2x) find the value of x

Leona [35]

<h3>Answer: x = 25</h3>

Explanation:

The rule is that for any triangle, the three angles always add to 180 degrees

So A+B+C = 180

Replace A with 65, replace B with 3x-10 and replace C with 2x to get this new updated equation: 65 + 3x-10 + 2x = 180

Now let's isolate x

65 + 3x - 10 + 2x = 180

5x + 55 = 180 .................... combine like terms

5x + 55 - 55 = 180 - 55 ..... subtract 55 from both sides

5x = 125

5x/5 = 125/5 ..................... divide both sides by 5

x = 25

We can stop here since your teacher only wants to know the value of x.

-----------

If you're curious how to find the other angles, then replace x with 25 and compute

Angle B = 3x - 10 = 3*25 - 10 = 75 - 10 = 65 degrees

Angle C = 2*x = 2*25 = 50 degrees

Therefore, the three angles of the triangle are A = 65, B = 65, C = 50. As a check, they should add to 180. It turns out they do since A+B+C = 65+65+50 = 130 + 50 = 180. Therefore, the answer is confirmed.

note: since angles A and B are both the same at 65 degrees, this means the triangle is isosceles (the sides opposite the congruent angles are congruent sides). We do not have enough info to actually find the length of any of the three sides.

6 0

4 years ago

Read 2 more answers

An angle, theta, is in standard position and its terminal side passes through the point (2,-1). Find the EXACT value of sin thet

Olenka [21]

Answer:

sinѲ = -1/√5 or -√5/5

Step-by-step explanation:

On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.

On the Cartesian plane we also have x, y where:

x = r cosѲ .......Equation 1

and y = r sinѲ ........Equation 2

r = √x² + y²

In the question we are given points (2,-1)

Where x = 2 , y = -1

We would solve for r by substituting 2 for x and -1 for y

r = √ 2² + -1²

r = √ 4 + 1

r = √5

In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2

y = r sinѲ

Where y = -1 and r = √5

-1 = √5 sinѲ

Divide both sides by √5

sinѲ = -1/√5

We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5

sinѲ = -√5/5

Therefore, sinѲ = -1/√5 of -√5/5

6 0

4 years ago

Find the length of the missing side. The triangle is not drawn to scale.

suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

$a^2+15^2=17^2$