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2 years ago

HELP WITH THIS QUESTION PLEASE!!

Mathematics

1 answer:

svetlana [45]2 years ago

3 0

m<PQS = m<SQR

4y - 10 = 2y + 10

2y = 20

y = 10

m<PQR = m<PQS + m<SQR

= 4y - 10 + 2y + 10

= 6y

= 6•10

= 60

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While shopping for clothes, Daniel spent $42 less than 3 times what Curtis spent. Daniel spent $21. Write and solve an equati

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Answer:

$21

Step-by-step explanation:

21+42=63

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Answer:

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2 years ago

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2 years ago

Read 2 more answers

The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

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3 years ago

In the figure, BC is a support for the roof of a garage. What is the length of BC?

Sonbull [250]

Answer:

Bc = √63 ft

Step-by-step explanation:

Here, we want to get the length of BC

As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side

So we want to get the third leg which is BC

we can use the Pythagoras’ theorem here

And that states that the square of the hypotenuse equals the sum of the squares of the two other sides

let the missing length be x

12^2 = x^2 + 9^2

144 = x^2 + 81

x^2 = 144-81

x^2 = 63

x = √63 ft

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2 years ago