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mariarad [96]
2 years ago
10

The solutions for cos^2 x - cos 2x =0, over the domain 0 < x < 2π are

Mathematics
1 answer:
Reika [66]2 years ago
8 0
D because it helps better and explains better and makes most sense
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The original price of an item was $20.00. It was marked up 25%. What is the new selling price?
Gre4nikov [31]

Answer:

$25

Step-by-step explanation:

Multiply $20 by 0.25 (which is 25% as a decimal)

$20 x 0.25 = $5

Add $5 to $20 which makes the answer $25

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3 years ago
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3 years ago
Mary is five times older than Julian. If the<br> sum of their ages is 42, how old is Mary?
Tanya [424]

Answer:

35

Step-by-step explanation:

M=5J

J=M/5

42=6J

42/6=7

Jullian is 7

7x5=35

Mary is 35

35+7=42

4 0
3 years ago
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Determine the most specific name for the figure in the diagram.
Makovka662 [10]
<span>ABCD is a parallelogram. Looking at the quadrilateral ABCD, the first thing to do is to determine if the opposite sides are parallel to each other. So let's check that by looking at the opposite sides. Line segment BA. When you go from point B to point A, you move to the right 1 space, and down 4 spaces. So the slope is -4. Looking at line segment CD, you also move to the right 1 space and down 4 spaces, which also means a slope of -4. So those two sides are parallel. When you compare line segments BC and AD, you'll notice that for both of them, you go to the right 5 spaces and up 2 spaces, so those too are parallel. So we can now saw that the quadrilateral ABCD is a parallelogram. Since ABCD is a parallelogram, we now need to check if it's a rectangle (we know it can't be a square since the sides aren't all the same length). An easy way to test if it's a rectangle is to check of one of the angles is 90 degrees. And if we draw a line from B to D, we can create a triangle ABD. And in a right triangle, due to Pythagora's theorem we know that A^2 + B^2 = C^2 where A is the line segment AB, B is the line segment AD and C is the line segment BD. So let's calculate A^2, B^2, and C^2. A^2: Line segment AB. We can construct a right triangle with A = 1 and B = 4. So C^2 = 1^2 + 4^2 = 1 + 16 = 17. So we have an A^2 value of 17 B^2: Line segment AD. We can construct a right triangle with A = 2 and B = 5. So C^2 = 2^2 + 5^2 = 4 + 25 = 29. So we have an B^2 value of 29 C^2: Line segment BD. We can construct a right triangle with A = 2 and B = 6. So C^2 = 2^2 + 6^2 = 4 + 36 = 40. So we have a C^2 value of 40. Now let's check if the equation A^2 + B^2 = C^2 is correct: 17 + 29 = 40 46 = 40 And since 46 isn't equal to 40, that means that ABCD can not be a rectangle. So it's just a parallelogram.</span>
6 0
3 years ago
Diana sold $150.00 worth of products and earns a commission of 3.5%. How much did she earn in commission?
ioda

Answer:

$5.25

Step-by-step explanation:

Take $150.00 times 3.5% to get $5.25

150(.035) = 5.25

4 0
3 years ago
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