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4 years ago

Simplify the expression by using a double-angle formula 1-2sin^2(3theta)

Mathematics

1 answer:

NeTakaya4 years ago

5 0

We know that:

$\cos(2x)=1-2\sin^2(x)$

Here $x=3\theta$ so:

$1-2\sin^2(3\theta)=\cos(2\cdot3\theta)=\cos(6\theta)$

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Help those 4 questions please and show your work please

rewona [7]

1) Temperature in Fahrenheit =77°F.

2) Temperature in Celsius= 25°C

3) Height of rectangular prism = 8 inches

4) Width of rectangle = 40 inches

Step-by-step explanation:

1) If Temperature is 25°C . How many degrees Fahrenheit is it?

The formula to calculate temperature in Fahrenheit is:

$F=(C\times\frac{9}{5})+32$

Putting value of Celsius:

$F=(C\times\frac{9}{5})+32 \\F=(25\times\frac{9}{5})+32\\F=(5\times9)+32\\F=45+32\\F=77$

So, 25°C in Fahrenheit is 77°F.

2) If temperature is 77°F,what is the temperature in Celsius?

The formula used is:

$C=(F-32)\times\frac{5}{9}$

Putting value of Fahrenheit is:

$C=(F-32)\times\frac{5}{9}\\C=(77-32)\times\frac{5}{9}\\C=45\times\frac{5}{9}\\C=25$

So, temperature in Celsius is 25°C.

3) The volume of triangular prism is 64 inches³. The length is 2 inches and width is 4 inches. What is height.

The formula of finding volume of triangular prism is:

$V=L\times W\times H$

Putting values:

$V=L\times W\times H\\64=2\times 4\times H\\64=8\times H\\H= 64/8\\H=8$

So, height of triangular prism is 8 inches.

4) The area of rectangle is 80 inches. if length is 20 inches what is the width of rectangle.

The formula used is:

$Area=Length\times Width$

Putting values:

$Area=Length\times Width\\80=20\times Width\\W=80/20\\W=40$

So, width of rectangle is 40 inches.

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6 0

4 years ago

Help me please 50 points and brainliest.

Sonja [21]

The answer is -2

Sure hope this helps you

3 0

3 years ago

???????????????????????????

miskamm [114]

Its just asking which angles are similar just list them in the same order on both sides

abc abc
cba cba

8 0

3 years ago

Read 2 more answers

A dentist has 400 male and female patients that range in age is from 10 years old to 50 years old and up. What is the experiment

Lena [83]

Answer:

1/8

Step-by-step explanation:

A dentist has 400 male and female patients that range in age is from 10 years old to 50 years old and up. What is the experimental probability that the next patient will be female and in the age range of 22 through 39?

10-21 22-39 40-50 50+

Male 44 66 32 53

Female 36 50 45 74

There are 400 male and female patient in total

there 400 possible outcome

Total number of possible outcome = 400

There are 50 females in 22-39 range and thus there are 50 favourable outcome

The probability is the number of favourable outcome divided by the number of possible outcome

$P=\frac{50}{400} \\\\= \frac{1}{8}$

= 0.125

=12.5%

4 0

3 years ago

A raffle is held at MTHS ASB to draw for a $1000 plasma television. Two thousand tickets are sold at $1.00 each. Find the expect

Semmy [17]

The "expected value of a ticket" is the probability of being drawn multiplied by the earnings associated to being drawn.
($1 is the price of the ticket which of course can be different).

So in this case probability is 1/2000 and the earnings would be valued $1000 (value of the plasma TV).
The expected value is 1/2000*1000=1000/2000=$0,5

This means you should not buy a $1 ticket to play except if this really brings you LOTS of amusement ;)

3 0

3 years ago

Read 2 more answers