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3 years ago

Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores

Mathematics

1 answer:

vivado [14]3 years ago

5 0

Answer:

The mean

Step-by-step explanation:

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Use a half-angle identity to find the exact value

Tatiana [17]

Given:

$\cos 15^{\circ}$

To find:

The exact value of cos 15°.

Solution:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}$

Using the trigonometric identity: $\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}$

$$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

Let us first solve the fraction in the numerator.

$$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}$

Using fraction rule: $\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}$

$$=\sqrt{\frac {2+\sqrt{3}}{4}}$

Apply radical rule: $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

Using $\sqrt{4} =2$ :

$$=\frac{\sqrt{2+\sqrt{3}}}{2}$

$$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}$

5 0

3 years ago

Find the value of x.

svetoff [14.1K]

Answer:

Step-by-step explanation:

1) Find the interior angle using relations of angles in straight line I.e ( sum of angles in a straight line is 180 ) and we know the sum of all the interior angle of quadrilateral is 360 degree .

2) Solve further for x.

5 0

3 years ago

Find all real zeros of the function.<br> F(x)=-5x(x^2-25)(x-7)

Rudiy27

Answer:

x - intercepts: (-5,0), (5,0), (7,0)

I'm not sure if you would count these, but x and y also have the intercept of (0,0).

8 0

3 years ago

Which of the following is the graph of (x-2)^2 + (y+1)^2 = 9? (Brainly doesn't seem to want to let me put up pictures. Sorry guy

forsale [732]

If you want to cheat, paste the formula in Wolfram Alpha. However, this one is not that difficult. From the fact that x and y are squared you can infer that this is a circle. The 9 reveals that the radius r^2 is 9, so radius is 3.

The (x-2) tells us that the circle is shifted to the right by 2. Likewise, y+1 shifts it down by one. So the center is at (2,-1). If the equation would be x^2 + y^2 = 9, you'd have a circle exactly on the origin.

Hopefully this helps you break down the equation and pick the right picture!

3 0

3 years ago

Shawn picked some vegetables from his garden.he picked 2.234 pounds of corn 2.205 pounds of tomatoes and 2.25 pounds of potatoes

Tatiana [17]

Answer: The correct answer is H.

Step-by-step explanation: The correct order of the weights from largest to smallest is shown in choice H. The correct order is 2.25, 2.234, 2.205.

5 0

3 years ago