All categories

3 years ago

Go

Mathematics

1 answer:

maksim [4K]3 years ago

8 0

Answer:

two of the sides are 21 m long and one of the sides is 28 m long

You might be interested in

a man invests a total of 5000 in a bank account that yields 5% interest compound monthly. how much will it be worth after 6 year

kaheart [24]

Answer:

6745.09

Step-by-step explanation:

If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...

FV = P(1 +r/12)^(12·t)

for P = 5000, r = .05, t = 6.

Doing the arithmetic, we get ...

FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09

After 6 years, the bank account will be worth 6745.09.

_____

We made a comment about the interest rate, because the annual yield is about 5.116%. If the annual yield is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)

Usually, the wording would be that the account earns 5% interest compounded monthly.

7 0

3 years ago

Plz help no guessing

vladimir1956 [14]

Those are alternate interior so congruent angles,

2x + 15 = 3x

15 = x

Choice A

7 0

3 years ago

Factor completely. Remember to look first for a common factor. If a polynomial is prime, state this.

Yakvenalex [24]

This one is prime. The sum of two squares doesn't factor.

The more interesting case is q^2-1, which factors into (q-1)(q+1).

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28-1%7B2%7D%7B3%7D%20%29x%5E%7B3%7D" id="TexFormula1" title="(-1{2}{3} )x^{3}" alt="(-1{2}{3}

Alex_Xolod [135]

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about: $(\frac{-12}{3}) ^{3}$

Answer: -62

Explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

The parentheses are important so you cube the negative sign as well!

3³ = 27

-1728 / 27 = -62

$(\frac{-12}{3}) ^{3}$ simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1 $\frac{2}{3}$ )³

Answer: - $\frac{125}{27}$

Explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get $-\frac{5}{3}$

To cube it we must do:

( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )( $-\frac{5}{3}$ )

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

(-1 $\frac{2}{3}$ )³ simplifed is - $\frac{125}{27}$

7 0

2 years ago

In how many different ways can someone arrange 6 books on a shelf

enot [183]

Number of ways = 6!
Number of ways = 6 x 5 x 4 x 3 x 2 x 1
Number of ways = 720

------------------------------
Answer: 720 ways
------------------------------

6 0

3 years ago

Read 2 more answers