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igomit [66]
3 years ago
5

Simplify the expression by using a double angle formula cos^2 4theta-sin^2 4theta

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
Double angle formula for cos(2x) is
cos(2x)=cos^2(x)-sin^2(x)

Substitute x=4theta, then
cos(8theta)=cos^2(4theta)-sin^2(4theta)
=>
cos^2(4theta)-sin^2(4theta) = cos(8theta)
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Dylan reads 6 books Kylie read double the number of books that Dylan read. how many books did Kylie read.
Anika [276]
Kylie read 12 books.

6 x 2 = 12
8 0
3 years ago
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Someone please help me with this!!!
lakkis [162]

Answer:

Ask your teacher AKA me.

Step-by-step explanation:

I'll see you at school tomorrow.

4 0
3 years ago
A diagonal of a cube measures 15 cm and the length of an edge of the cube is startroot 75 endroot cm. what is the length of the
Veseljchak [2.6K]

A cube is a three-dimensional solid object having six square faces. The measure of the length of the diagonal of the face of the cube is 12.2 cm.

<h3>What is a cube?</h3>

A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron.

Given the length of an edge of the cube is √75 cm, therefore, the length of the diagonal of the face of the cube will be √2 times the length of an edge of the cube. Thus, the measure of the length of the diagonal of the face of the cube is,

Length of the diagonal of the face = √2 × √75 = 12.2 cm

Hence, the measure of the length of the diagonal of the face of the cube is 12.2 cm.

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3 0
1 year ago
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In a purely monopolistic market with a demand curve P = -Q / 10 + 2000, to maximize profit the firm provides the application at
Rudiy27

Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question

answer:

≈ 95 units ( output level )

Step-by-step explanation:

Given data :

P = 2000 - Q/10

TC = 2Q^2 + 10Q + 200 ( assumed value )

<u>The output level where a purely monopolistic market will maximize profit</u>

<u>at MR = MC </u>

P = 2000 - Q/10 ------ ( 1 )

PQ = 2000Q - Q^2 / 10 ( aka TR )

MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5

TC = 2Q^2 + 10Q + 200 ---- ( 2 )

MC = d (TC) / dQ = 4Q + 10

equating MR = MC

2000 - Q/5 = 4Q + 10

2000 - 10 = 4Q + Q/5

1990 = 20Q + Q

∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )

7 0
2 years ago
The weight of tigers follow a normal distribution with a mean of 220 kg and a SD of 30 kg. 1) If we randomly select a tiger, wha
mylen [45]

Answer:

0.89736

Step-by-step explanation:

We solve this question using z score formula

Z score = x - μ/σ

x = raw score

μ = population mean

σ = population standard deviation

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability value from Z-Table:

P(x<258) = 0.89736

Therefore, the probability that his weights is less than 258 kg is 0.89736

6 0
3 years ago
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