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3 years ago

If the legs of a right triangle have length 6 inches and 8 inches, what is the length of the hypotenuse in

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

Step-by-step explanation:

$a^{2} + b^{2} = c^{2}$

$6^{2} + 8^{2} = c^{2}$

$36 + 64 = c^{2}$

$100 = c^{2}$

$\sqrt{100} = c$

$10 = c$

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An author published a book which was being sold online. The first month the author sold 21000 books, but the sales were declinin

Wittaler [7]

Answer: 119,616

You may have to erase the comma when inputting the answer.

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Explanation:

The author sells 21,000 books in the first month.

Then they sell 21,000*(1-0.12) = 21,000*(0.88) = 18,480 in the second month.

Then they sell 18,480*(1-0.12) = 18,480*(0.88) = 16,262.4 = 16,262 in the third month.

And so on. These values follow a geometric sequence with first term a = 21,000 and common ratio r = 0.88

We can think of the 0.88 as 88% of the original value (since losing 12%, we keep the remaining 88%)

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Use the formula below to sum the first 9 terms of the geometric sequence

Plug in a = 21000 and r = 0.88

$S_n = a*\frac{1-r^n}{1-r}\\\\S_9 = 21000*\frac{1-0.88^9}{1-0.88}\\\\S_9 \approx 21000*\frac{0.6835216}{0.12}\\\\S_9 \approx 21000*5.6960133\\\\S_9 \approx 119,616.2793\\\\S_9 \approx 119,616\\\\$

The author sold about 119,616 books over the course of the first nine months.

4 0

2 years ago

A few years ago, a census bureau reported that 67.4% of American families owned their homes. Census data reveal that the owner

STatiana [176]

Answer:

The hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

Step-by-step explanation:

In this case we need to determine whether the city should continue with plan of offering tax breaks to first-time home buyers in order to encourage people to become homeowners.

It is provided that, a few years ago, a census bureau reported that 67.4% of American families owned their homes.

But the Census data reveal that the ownership rate in one small city is much lower.

So, to improvise this the city council wants to offer tax breaks to first-time home buyers in order to encourage people to become homeowners.

They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks.

To determine whether the city council should continue with the plan or not, the hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

4 0

2 years ago

Read 2 more answers

Factor out the GCF of 64−32x

Mekhanik [1.2K]

Answer: 32

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A culture of yeast doubles in size every four hours. If the yeast population is estimated to be three million now, what will it

Bess [88]

It doubles every 4 hours, so after 24 hours there will be 6 doublings.
2^6 = 64
So, the population will be (3,000,000 * 64) or 192,000,000 in 24 hours.
The answer is B.

4 0

3 years ago

Read 2 more answers

Which angles are supplementary and vertical?

Brrunno [24]

Answer: i would show the picture with it too because I don’t think i could answer that without knowing what the angle looks like

Step-by-step explanation:

3 0

2 years ago