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Serhud [2]
2 years ago
9

Please help asap plz!!

Mathematics
2 answers:
Anuta_ua [19.1K]2 years ago
7 0

Answer:

2x + 4 = 22

or \: 2x = 22 - 4

or \: 2x = 18

or \: x =  \frac{18}{2}

therefor \: x = 9

motikmotik2 years ago
4 0

Answer:

x = 9

Step-by-step explanation:

Since M is the midpoint of AC then

AM = MC , that is

2x + 4 = 22 ( subtract 4 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

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If the area of a circle is 58 square feet, find the circumference
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the figure below shows a circle centre of radius 10 cm the chord PQ=16cm calculate the area of the shaded region​
m_a_m_a [10]

Step-by-step explanation:

OPQ originally forms a sector, the formula for sector is

\frac{x}{360} \pi {r}^{2}

where x is the degrees of rotation between the two radii.

We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that

16 =  \sqrt{10 {}^{2} + 10 {}^{2}   - 2(100) \times  \cos(o) }

This isn't the standard formula, it's for this problem

16 =  \sqrt{200 - 200 \times  \cos(o) }

16 =  \sqrt{200  - 200 \cos(o) }

256 = 200 - 200 \cos(o)

56 =  - 200 \cos(o)

-  \frac{7}{25}  =  \cos(o)

\cos {}^{ - 1} (  - \frac{7}{25} )  =  \cos {}^{ - 1} ( \cos(o) )

106.26 = o

So we found our angle of rotation, which is 106.26

Now, we do the sector formula.

\frac{106.26}{360} (100)\pi

\frac{10626}{360} \pi

is the area of sector.

Now let find the area of triangle, we can use Heron formula,

The area of a triangle is

\sqrt{s(s - a)(s - b)(s - c)}

where s is the semi-perimeter.

To find s, add all the side lengths up, 10,10,16 and divide it by 2.

Which is

\frac{36}{2}  = 18

\sqrt{18(18 - 10)(18 - 10)(18 - 16)}

\sqrt{18(8)(8)(2)}

\sqrt{(36)(64)}

6  \times 8 = 48

So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get

\frac{10626}{360}  - 48

Which is an approximate or

44.73

6 0
2 years ago
Which of the triangles below is not a right triangle?
Nataly [62]

Answer:

B)\ 6ft,8ft,12ft

Step-by-step explanation:

Pythagorean Theorem : In a right triangle, square of hypotenuse is equal to the sum of the squares of the other sides.

(A)\ 3cm,4cm,5cm\\5^2=25\\3^2+4^2=9+16=25\\5^2=3^2+4^2

Hence these sides represent a right triangle.

 

(B)\6ft.8ft,12ft\\12^2=144\\6^2+8^2=36+64=100\\12^2\not=6^2+8^2

Hence this does not represent a right triangle.

(C)\27cm,36cm,45cm\\45^2=2025\\27^2+36^2=729+1296=2025\\45^2=27^2+36^2

This represents a right triangle.

8 0
3 years ago
20 POINTS Please show work!
hoa [83]

Answer:

k=2

Step-by-step explanation:

7(k+8)=70

We move all terms to the left:

7(k+8)-(70)=0

We multiply parentheses

7k+56-70=0

We add all the numbers together, and all the variables

7k-14=0

We move all terms containing k to the left, all other terms to the right

7k=14

k=14/7

k=2

7 0
3 years ago
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