I need help with a question that has to do with Ratio and Proportion. I want to know how to do it, not just only the answer.

Classify the triangle as acute, right, or obtuse based on the side lengths of 8, 11, and 14.

ratelena [41]

Answer:

Obtuse

Step-by-step explanation:

$8^2+11^2=14^2\\64+121=196\\185=196$

Since the hypotenuse is bigger, the triangle is obtuse

8 0

2 years ago

Read 2 more answers

How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 25 players (leaving t

Artemon [7]

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

2 players are taken from a set of 25, hence the number of ways is given by:

$P_{(25,2)} = \frac{25!}{23!} = 600$ .

More can be learned about the permutation formula at brainly.com/question/25925367

#SPJ1

4 0

2 years ago

Solve the equation for z^3-z^2-12z=0<br><br> The solutions are z=?, z=?, and z=?

Assoli18 [71]

Answer:

z is equal to 0,4, and -3

Step-by-step explanation:

3 0

3 years ago

Lauren will make annual contributions in the amount of $4,770, on average, to a 401(k) over the next 34 years. Her employer will

fredd [130]

Answer:

$610,297.11

Step-by-step explanation:

The problem seems to make several assumptions:

contributions are made at the end of each year
contributions and employer matching funds are not taxed until retirement
the 15% tax rate applies to the account balance amount at retirement

Of these, the last is least likely to be true in the United States.

___

Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.

FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.

The amount deposited each year is ...

$4770 + 0.60·4770 = $7630

Then the future value after 34 deposits is ...

FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60

When this amount is reduced by the assumed 15% tax rate, it becomes ...

$717,996.60 - 0.15·717,996.60 = $610,297.11

4 0

3 years ago

Janelle has $300 in her bank account. she buys x shirts for $20 each. write and solve an inequality Janelle can use to find how

vlada-n [284]

Answer:

300-20x<100

Step-by-step explanation:

More than, is like greater than, making it a greater than sign,

$100 is the number that is being compared to the other two, so it goes on the other side

$300 is the inital price, so it has no variable

Last, the $20 represents the cost per shirt giving it an unknown variable

I hope this helps u

pls give a brainliest and a thx ;)

8 0

3 years ago