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Schach [20]
3 years ago
11

Randi had surgery on her knee. Right after the surgery

Mathematics
1 answer:
larisa [96]3 years ago
8 0

Well, we know that she could only bend her knee 30 degrees from the start.

And after six weeks of therapy, she can bend it 108 degrees.

So that means: 108 - 30 = 78 degrees more.

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HELP ME !! AND EXPLAIN HOW YOU GOT IT.
Juli2301 [7.4K]

Answer: G = 50°, I = 50°, H = 80°

Step-by-step explanation:

First and foremos, the sum of three angles of a triangle is 180°

2x + 2x + (4x - 20) = 180°

8x - 20 = 180°

8x = 180° + 20 (adding 20 on both sides)

8x = 200°

x = 200/8

x = 25

The value of the angles can be found by replacing the value of x with 25

2x = 2 x 25 = 50°

Therefore, the angle of two angles are 50°

And the other is (4 x 25) -20 = 80°

4 0
3 years ago
Sin(θ-30) = cos(θ)<br>solve for θ.​
Margaret [11]

Answer:

Step-by-step explanation:

sin(θ+30∘)=cos50∘

⟹cos(90∘−(θ+30∘))=cos50∘

⟹cos(60∘−θ)=cos50∘

⟹cos(π3−θ)=cos5π18

Writing the general solution as follows

π3−θ=2nπ±5π18

⟹θ=π3−(2nπ±5π18)

Method 2: ,

sin(θ+30∘)=cos50∘

⟹sin(θ+30∘)=sin(90∘−50∘)

⟹sin(θ+30∘)=sin40∘

⟹sin(θ+π6)=sin2π9

Writing the general solution as follows

θ+π6=2nπ+2π9

⟹θ=2nπ+2π9−π6

⟹θ=2nπ+π18

or

θ+π6=(2n+1)π−2π9

⟹θ=2nπ+π−2π9−π6

⟹θ=2nπ+11π18

Hint 1: sin(a)=sin(b) iff a−b=2kπ or a+b=(2k+1)π for some k∈Z.

Hint 2: cos(40∘)=sin(50∘).

Hint:

sinθ=cos(90∘−θ)

cos50∘=sin40∘

can you solve for θ using the above?

0

Knowing the relation between sin(θ) and cos(θ) is quite crucial. One of the major relation is that the sine function and cosine function are fairly similar with 90∘ difference so,

Sin(x+90)=cos(x)

We are given x=50, so

x+90=30+θ

θ=110

or

180−140=40

This is θ+30 so,

θ=10∘

6 0
3 years ago
Aiden shaded numbers in the addition table. which statement tells what the shaded numbers show
pav-90 [236]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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