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FrozenT [24]
3 years ago
14

The ratio of red to green marbles in a jar is 3 to

Mathematics
1 answer:
Ilya [14]3 years ago
3 0
30 of the 48 marbles are green and the other 18 are red.
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HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!
tiny-mole [99]

Answer:

x=32°

Step-by-step explanation:

The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).

Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.

\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}

\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}

One can shorten the equation so it only holds the parts that will play a role in solving this equation,

\frac{sin(x)}{10}=\frac{sin(116)}{17}

Now take the cross product in this equation to simplify it further,

\frac{sin(x)}{10}=\frac{sin(116)}{17}

17(sin(x))=10(sin(116))

Inverse operations, solve this equation for (x),

17(sin(x))=10(sin(116))

sin(x)=\frac{10(sin(116))}{17}

x=sin^-^1(\frac{10(sin(116))}{17})

x=31.91782...

x\approx32

4 0
3 years ago
Read 2 more answers
I need help!!! I just need the answer for p and i also need the answer step by step!!
klasskru [66]

Answer:

  x = 18

  m = 21.2

  p = 31.8

Step-by-step explanation:

The ratio of the left-side length to the bottom-side length is the same for both triangles:

  x/11.2 = (x +27)/28

  28x = 11.2(x +27) = 11.2x +302.4 . . . . . multiply by 11.2·28

  16.8x = 302.4 . . . . . . . subtract 11.2x

  x = 18 . . . . . . . . . . . . divide by 16.8

__

The length of m can be found using the Pythagorean theorem. The sum of the squares of the legs is the square of the hypotenuse.

  x^2 +11.2^2 = m^2

  m = √(324 +125.44) = √449.44 = 21.2

__

The length of p can also be found using the Pythagorean theorem. We prefer the proportion ...

  p/27 = m/x

  p = 27(21.2/18) = 31.8

The lengths of the unknown sides in the figure are ...

  x = 18

  m = 21.2

  p = 31.8

8 0
2 years ago
At the beginning of the month, Leona's checking account had $2,344.98 in it. Since then, she has written checks for $525.00, $33
TiliK225 [7]
Should would have $1,642.86 in her account 
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3 years ago
If the area of triangle ABC= 25 square feet, then the area of the rectangle ABCD is:
UkoKoshka [18]
A rectangle has 2 triangle
∴ 25 feet² × 2 = 50 feet²
5 0
4 years ago
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Greatest to least of 2, -1, -2, 0, 1
Wittaler [7]

Answer:

2,1,0,-1,-2

Step-by-step explanation:

4 0
3 years ago
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