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Irina-Kira [14]

2 years ago

6

Did I label this triangle correctly?

2 answers:

ziro4ka [17]2 years ago

6 0

Answer:

Yes

Step-by-step explanation:

you labelled it correctly. angle a is across from side a, and vice versa. nice job!! :)

kirza4 [7]2 years ago

3 0

Answer: Yes

Step-by-step explanation:

The angle A should be across from side a. Angle B should be across from side b. And same for C. Good job.

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Use the compound interest formulas to solve. A = P(1 + r/n)nt and A = Pert Suppose you have $3000 to invest. Which investment yi

cluponka [151]

Answer:

Account 1 yields greater return.

Step-by-step explanation:

Lets solve for the first formula:

$A=P(1+\frac{r}{n} )^{nt}$

First, change 6.5% into a decimal:

6.5% -> $\frac{6.5}{100}$ -> 0.065

Now, plug in the values for Account 1:

$A=3,000(1+\frac{0.065}{2})^{2(10)}$

$A=5,687.51$

<u>Now solve for Account 2:</u>

Change 6% into a decimal:

6% -> $\frac{6}{100}$ -> 0.06

Now plug in the values:

$A=3,000e^{0.06(10)}$

$A=5,466.36$

Account 1 yields better money after 10 years.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title=" \frac{1}{3} " alt=" \frac{1}{3} " align=

VikaD [51]

I hope this helps you 2 (B+4)=3 B+4=3/2 B=3/2-4 B=-5/2

5 0

3 years ago

A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.

dem82 [27]

The answer for this question, to the correct significant digits, would be 39 feet squared. This can be worked out in the following way: S=a*a ft^2S=6.25*6.25S=39.0625?39.1 9and then round this up to find the answer of 39 square feet)

4 0

3 years ago

Use decimals and fractions in the same equation showing the Commutative Property. Repeat for the Associative Property.

Anna71 [15]

For Commutative Property of Addition

Let us take a decimal number $2.14$ and a fraction $\frac{5}{20}$

Now, according to the Commutative property of Addition:

For any two numbers $a$ and $b$ :

$a+b = b+a$

So, for $2.14$ and $\frac{5}{20}$

Let us add

$2.14+\frac{5}{20} = \frac{214}{100} +\frac{5}{20}$

$=\frac{214}{100} + \frac{5 \times 5}{20 \times 5} \\ \\=\frac{214}{100} + \frac{25}{100} \\ \\= 2.14 + 0.25 \\ \\ = 2.39$

Also,

$\frac{5}{20} + 2.14 = \frac{5}{20} + \frac{214}{100}$

$= \frac{5 \times 5}{20 \times 5} +\frac{214}{100} \\ \\= \frac{25}{100} + \frac{214}{100} \\ \\= 0.25 + 2.14 \\ \\ = 2.39$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Commutative Property of Addition is satisfied.

For Associated Property of Addition

Let us take two same decimal numbers $2.14$ , $7.25$ and a fraction $\frac{5}{20}$

Now, according to the Associated property of Addition:

For any three numbers $a$ , $b$ and $c$

$a + (b+c) =(a+b) + c$

So, for $2.14$ , $7.25$ and $\frac{5}{20}$

The Left hand side:

$a + (b+c)$

$2.14 + (7.25 + \frac{5}{20}) = 2.14 + (\frac{725}{100} + \frac{5 \times 5}{20\times 5})$

$= 2.14 + (\frac{725}{100} + \frac{25 }{100})$

$= 2.14 + (\frac{750}{100} )$

$= \frac{214}{100} + \frac{750}{100}$

$= \frac{964}{100}$

$=9.64$

The Right hand side:

$(a + b )+c$

$(2.14 + 7.25 )+ \frac{5}{20}= ( 9.39 ) + \frac{5 }{20}$

$= 9.39 + \frac{5 \times 5 }{20 \times 5}$

$= 9.39 + \frac{25}{100}$

$= 9.39 + 0.25$

$= 9.64$

Thus,

$(2.14 + (7.25 + \frac{5}{20} )= (2.14 + 7.25 )+ \frac{5}{20}$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Associative Property of Addition is satisfied.

8 0

3 years ago

5. Louis has 21 coins in his pouch, how many nickels and<br> dimes does he have if he has $1.35?

PolarNik [594]

N + d = 21
0.5n + 0.10d = 1.35
5n + 10d = 135
d = 21-n
5n + 210 - 10n = 135
-5n = -75
n = 15
d = 6

3 0

3 years ago