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olga_2 [115]
3 years ago
8

The equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

Answer:

B. 12.9cm

Step-by-step explanation:

I presume we are asked to find the length of b

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Find EM.<br> Can anyone help me with this?
Komok [63]

The little red dashes on the segments means they are congruent. EM = MG

Let's plug the expressions from the picture into our equation above.

7x = 8x - 6

Subtract 8x from both sides.

-x = -6

Divide both sides by -1

x = 6

EM = 7x = 7(6) = 42

6 0
3 years ago
Pls help if your kind &lt;3 (picture)
AlladinOne [14]

Answer:

1: x=23.313708 2: B x = -13.2 3: x = 152

All the problems examples at the bottom

Step-by-step explanation:

1: 12x=−3(4−x)

12x=3x−12

Step 1: Divide both sides by 12.

12x12=3x−1212

x=14x−1

Step 2: Solve Square Root.

x=14x−1

x=(14x−1)2(Square both sides)

x=116x2+−12x+1

x−(116x2+−12x+1)=116x2+−12x+1−(116x2+−12x+1)(Subtract 1/16x^2+(-1)/2x+1 from both sides)

−116x2+32x−1=0

x=−b±b2−4ac2a(Use quadratic formula with a=-0.0625, b=1.5, c=-1)

x=−(1.5)±(1.5)2−4(−0.0625)(−1)2(−0.0625)

x=−1.5±2−0.125

x=0.6862915010152388,23.31370849898476

2: 3+2.7x=9.6+3.2x

Step 1: Simplify both sides of the equation.

2.7x+3=3.2x+9.6

Step 2: Subtract 3.2x from both sides.

2.7x+3−3.2x=3.2x+9.6−3.2x

−0.5x+3=9.6

Step 3: Subtract 3 from both sides.

−0.5x+3−3=9.6−3

−0.5x=6.6

Step 4: Divide both sides by -0.5.

−0.5x−0.5=6.6−0.5

x=−13.2

3: 9+34x=78x−10

Step 1: Simplify both sides of the equation.

9+34x=78x−10

9+34x=78x+−10

34x+9=78x−10

Step 2: Subtract 7/8x from both sides.

34x+9−78x=78x−10−78x

−18x+9=−10

Step 3: Subtract 9 from both sides.

−18x+9−9=−10−9

−18x=−19

Step 4: Multiply both sides by 8/(-1).

(8−1)*(−18x)=(8−1)*(−19)

x=152

I really hope this helped you

4 0
3 years ago
An acute angle θ is in a right triangle with sin θ = six sevenths. What is the value of cot θ?
inysia [295]
\sin \theta =\dfrac{6}{7}\\&#10;\cot \theta=\dfrac{x}{6}\\&#10;x^2+6^2=7^2\\&#10;x^2=49-36\\&#10;x^2=13\\&#10;x=\sqrt{13}\\&#10;\boxed{\cot \theta =\dfrac{\sqrt{13}}{6}}
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Mooooooon 83 zd.............
6 0
3 years ago
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Nancy measured the top of her rectangular table.
fgiga [73]
The correct answer is A) the area is 24 ft^2 and the perimeter is 20 feet

To find the perimeter:
2(6)+2(4)=12+8=20
2(L)+2(W)=perimeter
L=length and W=width

To find the area:
L*W=A
6ft*4ft=24ft^2
7 0
4 years ago
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