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2 years ago

Given the right triangle shown below, prove cos2(θ) + sin2(θ) = 1.

Mathematics

1 answer:

wel2 years ago

3 0

Answer:

-definition of cosine

-definition of sine

-Pythagorean Theorem

-Substitution

-laws of exponents

Step-by-step explanation:

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Ruth Ann wants to research two different careers, medical doctor and astronaut.

elixir [45]

Answer: visit the US Bureau of Labor Statistics website to find information on both careers

The career section

hope this helped :)

Step-by-step explanation: there is none

3 0

2 years ago

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When class 11Y1 found that their favourite teacher, Mr Musson, was leaving they decided to organise a party for him. Lewis, one

Vladimir [108]

Answer:

The least amount spent is £12.92

Step-by-step explanation:

Given

Number of Carton = 38

A carton = 45 pence

4 carton = £1.56

To spend the least amount of money, be needs to go for the least expensive option.

There are 100 pence in £1

So, there are x pence in £1.36

x * 1 =1.36 * 100

x = 136 pence for 4 carton.

To get the price of 1 carton, divide x by 4

x/4 = 136p/4

x/4 = 34 pence.

This means that he can get a carton of juice at the rate of 34p and at the rate of 45p.

The smallest of this is 34p.

Hence total amount spent =

34 * 38

amount = 1292p --- convert to £

Amount = 1292/100

Amount = £12.92

Hence, the least amount spent is £12.92

5 0

2 years ago

Pat's Pizza made 21 cheese pizzas, 14 veggie pizzas, 23 pepperoni pizzas, and 14 sausage pizzas yesterday.

MatroZZZ [7]

There is a 29% chance that the next pizza would be cheese

7 0

2 years ago

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A cell phone company charges a $10 flat fee plus $0.05 per minute for minutes up to 600. For minutes over 600, the company

mash [69]

Answer:

In both the cases, the given total amount is given as:

T = 10 + 0.05 m (when minutes talked m < 600)

T = 40 + 0.15 k (when minutes talked k > 600)

Step-by-step explanation:

Here, the flat fee by the phone company = $10

The charge for each minute for first 600 minutes = $0.05

The per minute cost after 600 minutes = $0.15

Let us assume the number of minutes talked = m

Case 1: when the minutes talked is less than 600 minutes.

Total Charges = Flat Fee + 0.05 x ( the minutes talked)

or, T = $10 + m ($0.05)

or T = 10 + 0.05 m (when m < 600)

Case 2: when the minutes talked is more than 600 minutes.

Let us assume the minutes talked over 600 = k minutes

Total Charges = Flat Fee + Charges for 600 minutes + 0.15 x ( the minutes talked over 600)

or, T = $10 + 600 ($0.05) + k($0.15)

or T = 10 + $30 + 0.15 k (when k > 600)

⇒ T = 40 + 0.15 k (when k > 600)

Hence, in both the cases, the given total amount is given as:

T = 10 + 0.05 m (when m < 600)

T = T = 40 + 0.15 k (when k > 600)

7 0

2 years ago

What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x

zubka84 [21]

Answer:

[x(x - 1)(x - 4)]/(2(x + 4))

Step-by-step explanation:

We want to find;

[(x² - 16)/(2x + 8)] * [(x³ - 2x² + x)/(x² + 3x - 4)]

Now,

x² - 16 can be factorized as;

(x + 4)(x - 4)

Also, 2x + 8 can be factorized as;

2(x + 4)

Also, (x³ - 2x² + x) can factorized as;

x[x² - 2x + 1] = x[(x - 1)(x - 1)]

Also,(x² + 3x - 4) can be factorized out as; (x - 1)(x + 4)

So plugging in these factorized forms into the equation in the question, we have;

[(x + 4)(x - 4)/(2(x + 4))] * [x[(x - 1)(x - 1)] /((x - 1)(x + 4))

This gives;

((x - 4)/2) * x(x - 1)/(x +4)

This gives;

[x(x - 1)(x - 4)]/(2(x + 4))

8 0

2 years ago

Read 2 more answers