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Alex777 [14]
3 years ago
10

Advanced Trigonometry, pls help me answer this!​

Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0
<h3>Answer:   14.3 square cm</h3>

======================================================

Explanation:

We have this given info

  • side a = 5
  • side c = 6
  • angle C = 40

Let's apply the law of sines to find angle A

sin(A)/a = sin(C)/c

sin(A)/5 = sin(40)/6

sin(A) = 5*sin(40)/6

sin(A) = 0.535656

A = \sin^{-1}(0.535656) or A = 180-\sin^{-1}(0.535656)

A = 32.388411 or A = 147.611589

There are two possibilities here we need to check.

If you were to try A = 147.611589 along with C = 40, then A+B+C = 180 solves to B = -7.6116 approximately. This isn't valid because the angles cannot be negative. So we rule out the case that A = 147.611589

If we tried A = 32.388411 and C = 40, then we'd get B = 107.611589 which is a valid angle.

------------------

The last step is to use the SAS triangle area formula to get...

area = 0.5*side1*side2*sin(angle)

area = 0.5*a*c*sin(B)

area = 0.5*5*6*sin(107.611589)

area = 14.296942

This rounds to 14.3 when rounding to 3 significant figures.

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Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)2 − 6
Nookie1986 [14]

Answer:

See attached image

Step-by-step explanation:

This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.

The vertex coordinates are therefore: (-2,-6)

The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in  order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.

See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.

3 0
3 years ago
2 people can make 2 bicycles in hours.How many people are needed to make 12 bicycles in 6 hours.​
Sedaia [141]

Answer:

12 people are needed to build 12 bikes in 6 hours

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A model aeroplane costs £3.40. James gets a special deal. When he buys two airplane, he saves 20% of the total price. How much d
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The answer is $1.36 because you have to add $3.40+3.40 because he buys two airplanes. Afterwards you multiply times .20 and get 1.36 because you always have to move 20% two places to the left

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Find the mean and medain which measures of center best repersents the data 80,90,10,75,90,95,99
Karo-lina-s [1.5K]
Im guessing c because that seems to make sence.
7 0
4 years ago
Read 2 more answers
System A
Sonbull [250]

1.  System B from System A by replacing one equation with itself where the same quantity is added to both sides

2. Yes, both system A and system B are equivalent and therefore has the same solution

<h3>How to prove the statements</h3>

System A

x − 4y= 1

5x + 6y= −5

System B

x = 1+4y

5x + 6y= −5

1. System B can be gotten from system A by

from the first equation of A

x − 4y= 1

Make 'x' subject of formula

x = 1 + 4y

This makes it equal to tat of system B

Thus, replacing one equation with itself where the same quantity is added to both sides

2. System A

x = 1 + 4y

5x + 6y= −5

System B

x = 1 + 4y

5x + 6y= −5

From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.

Learn more about linear equations here:

brainly.com/question/4074386

#SPJ1

4 0
2 years ago
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