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Alisiya [41]
3 years ago
9

Simplify: 20 sin(2x) cos(2x)

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0
Use the the double angle formula:
sin(2A)=2sin(A)cos(A)

substitute 2x for A, then
20sin(2x)cos(2x)=10(sin(2(2x))cos(2(2x))=10sin(4x)

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Describe and correct the error a student made in finding the midpoint of CD with ​C(​4,5) and ​D(​1,​4).
Andru [333]

Using the given information, the midpoint of CD is (2.5, 4.5)

<h3>Midpoint of a line </h3>

From the question, we are to determine the midpoint of line CD

The midpoint of a line is given by the formula,

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

From the given information, we are to find the midpoint of line CD with coordinates C(​4,5) and ​D(​1,​4)

∴ x₁ = 4

x₂ = 1

y₁ = 5

y₂ = 4

Putting the parameters into the formula for midpoint, we get

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

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(2.5, 4.5)

Hence, the midpoint of CD is (2.5, 4.5)

Learn more on Midpoint of a line here: brainly.com/question/896396

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6 0
2 years ago
What is 3 4/9 as a decimal
goldfiish [28.3K]

Answer: 3.44

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

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Step 2: Add the product you got in Step 1 to the numerator:

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Step 3: Divide the sum from Step 2 by the denominator:

31 ÷ 9 = 3.444444

The answer to 3 4/9 in decimal form is displayed below:

3 4/9 ≈ 3.44

3 0
3 years ago
A driver travels 208 miles in 4 hours. what is the driver's speen,in miles per hour ?
valina [46]

Answer:

52

Step-by-step explanation:

miles per hour so 208, which is miles and 4 which is hours so 208/4 which is 52

4 0
3 years ago
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mrs_skeptik [129]

Answer:

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Step-by-step explanation:

Just took the same test. :)

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3 years ago
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valkas [14]
I think the answer might be B
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