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xenn [34]
3 years ago
15

Find the value of X,Y and Z

Mathematics
1 answer:
Alex3 years ago
3 0

Answer:

If sin y = sin 35, y≠35, what is the value of y? 2. If cos y = cos z = - cos 35, y≠z≠35, what are the values of y and z? 3. If sin y = sin x and x<90, y≠x, what is the value of y in terms of x? 4. If sin y = sin z = -sin x and x<90, y≠z≠x, what are the values of y and z in terms of x? 5. If cos y = cos x and x<90, y≠x, what are the value of y and z in terms of x? 6. If cos y = cos z = - cos x and x<90, y≠z≠x, what are the values of y and z in terms of x?

Step-by-step explanation:

Because I know

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Fernando will divide 0.24 by 4 to help him solve a math problem. Which model below could represent this math problem
balandron [24]

Answer:

So the model should represent either \frac{6}{100} or\frac{3}{50} (its equivalent and simplified form.

Step-by-step explanation:

1) Originally the question wants to represent this quotient as tiles.

So,\frac{\frac{24}{100}}{4} =\frac{24}{100} *\frac{1}{4} =\frac{6}{100}=

We can still simplify it, but since we're dealing with 100 x 100 squares let's keep it this way

2) So the model should represent either \frac{6}{100} or\frac{3}{50} (its equivalent and simplified form.

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Answer:

\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}

The middle point of the base is placed at point

\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i

The length of the height is the distance between the points 5+9i and 7+3i

\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}

So, the area of the triangle is

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

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