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olga_2 [115]
3 years ago
10

The Pythagorean theorem is a^2+b^2=c^2 Solve for b.

Mathematics
2 answers:
DaniilM [7]3 years ago
7 0

Answer:

B

Step-by-step explanation:

rodikova [14]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

given

a² + b² = c² ( isolate b² by subtracting a² from both sides )

b² = c² - a² ( take the square root of both sides )

\sqrt{b^{2} } = ± \sqrt{c^2-a^2}

b = ± \sqrt{c^2-a^2}

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while visiting a mountain, John approximated the angle of elevation to the top of a hill to be 25 degrees. Alfter walking 350 fe
strojnjashka [21]
There are several ways of going about this problem, but just know that it all boils down to triangles and the rules/laws of triangles.
So we start by making a large right triangle, because the hill is vertical with the horizontal ground, with 25° as the left angle (where John looks up to top), 90° is the right angle (where ground meets hill base). So we see that the top side of the triangle is the hypotenuse, and equals the line of sight from John to hilltop.
Now we've got additional information that if John walks 350ft towards the hill, his angle of elevation increases by 14. So that = 25+14 = 39. How does that possibly help us?? Well now we can make 2 triangles inside of the one we've already made. So that now we have the triangle base split between the left angle of 25° and where he stopped 350ft to the right of that.
Now the supplement of 39 is 141, and the remaining piece of that too left triangle = 180-25-141 = 14. What does that mean? Well now we have a triangle, where we know all 3 angles and 1 side --> we can find another side by the law of sines:
If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of sines states:
a÷sinA = b÷sinB = c÷sinC
We really need the hypotenuse to then find our hill height, so we'll make hypotenuse = side b in attached image. That being so, then its opposite angle (B) = 141. And the top right angle (C) = 14 with its opposite side (c) = 350ft.
Now we only need b÷sinB = c÷sinC
So b/sin141 = 350/sin14 --> b = 350sin141/sin14 = 350×.63/
b = 220.3/.24 = 910.47 ft
Now that's our hypotenuse, so using our original large right triangle, we can use right triangular trig. to solve. Let's make the right side, our hill height, equal to x.
Sin ¥ = opp. side / hypotenuse -->
Sin ¥ = x / hypotenuse
Sin25 = x / 910.5
x = 910.5×sin25 = 910.5×.423
x = 384.8 ft

3 0
3 years ago
7+ (-2)+9+(-5) <br> What is the toatal I need show work due at 11
Tasya [4]

Answer:

megl;r g;rmbr

Step-by-step explanation:

5 0
3 years ago
15+(12+8a) simplify and justify each step
ki77a [65]
1. distribute a 1 to the 12 and 8a
2. you'll get 15+ 12 +8a
3. add the like terms(15 and 12)
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5 0
3 years ago
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In the given figure p=120° and y : z=2 : 3 Find x, y and z​
Sindrei [870]

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 ,   2y = 3z  or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180     Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check:  60 + 72 + 48 = 180

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3 years ago
Please answer correctly !!!! Will mark brainliest !!!!!!
Musya8 [376]

Answer:

h(r) = 6(r+1)+10

Step-by-step explanation:

Just solve for q. Because that's the output. h(r) = q

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3 years ago
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