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Korvikt [17]
3 years ago
6

Pythagorean theorem, please solve! Thanks

Mathematics
1 answer:
AveGali [126]3 years ago
3 0

To solve this question, we need to know the Pythagorean theorem and what it means. The Pythagorean theorem states that in a right triangle with legs a and b, hypotenuse c, there is a relationship a² + b² = c². Since we see that this is a right triangle (due to it having a right angle), we can substitute the values of the legs and solve for the hypotenuse. The equation becomes:

17² + 24² = c²

Simplify

289 + 576 = c²

c² = 865

c = √865

That means that the value of the hypotenuse is √865, or approximately 29.41

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Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio
Ludmilka [50]
Lets discern the infomation:

number_men = 165*0.6 = 99

so there are 99 men

non_fiction = 165 * 0.4 = 66

so 66 authors write non-fiction.

men writing non-fiction are 40, so 59 men write fiction, and 26 women write non-fiction.

probability of author non-fiction or man?
non-fiction: 40 men + 26 women = 66 total
man writers = 99

so in total 99 man + 26 women = 115 authors

hence the probability is:
115/165 = 69.6%
3 0
3 years ago
What does an increase in taxes and decrease in the money supply do to the supply and demand curves?
jok3333 [9.3K]

Answer:

The supply and demand curves will shift to the left i.e. there will be a decrease in demand and supply.

Step-by-step explanation:

First: Tax is a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Secondly: Money supply is the total amount of monetary assets available in an economy at a specific time.

When tax is increased, this means individuals and businesses have to contribute more to the state revenue leaving both categories with lesser income or profit i.e. lesser to spend.

In the same way, when money supply decreases, there is lesser money available to both individuals and businesses

What this implies is that demand will decrease because income has decreased. Supply will also decrease because producers will not make as much profit given the increase in tax (tax is considered cost of production).

As a result of this, the demand curve shifts to the left, the supply curve also shift to the left because both demand and supply will decrease.

8 0
3 years ago
The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley
asambeis [7]

Answer:

177 ft below sea level.

Step-by-step explanation:

Initial altitude of the hot air balloon = 282 below sea level

Rate of rise of balloon = 10 ft / second

Time = 12 seconds

Total rise in 12 seconds = Rate of rise of balloon \times Time

\Rightarrow 10 \times 12 = 120 ft

Now, we will have to subtract to find the new altitude.

New altitude = 282 - 120 = 162 ft

Now, it is given that balloon Captain lowers the balloon 15 ft.

To find the final altitude, we will have to add it to the previous altitude.

Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>

6 0
3 years ago
Below is a plot of land divided into 4 sections for a vegetable garden.
alexandr1967 [171]

Answer:

104

Step-by-step explanation:

did the test yourself(sorry for no proof)

5 0
2 years ago
What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?
mafiozo [28]
Answer: -3n-2. 

Because for the first term, for example, plug in 1, you'll get -3(1)-2=-3-2=-5, which is the first one. Try it with all terms. 
8 0
3 years ago
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