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vampirchik [111]
3 years ago
5

Simplify. Rationalize the denominator. -3/5 + √3

Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Answer: -3-5\sqrt{3} / 5

Step-by-step explanation

To write \sqrt{3} as a fraction with a common denominator, multiply by 5/5.

-3/5 + \sqrt{3} * 5/5

Then combine fractions, so that the numeratiors over the common denominator.  

-3 + 5 \sqrt{3} /5

Simplify with factoring out.

Rewrite -3 as -1 (3). Next factor -1 out of 5 \sqrt{3}. Then facotr -1 out of -1(3) - (-5\sqrt{3}). After that move teh negative in front of the fraction.

Exact Form: - 3-5\sqrt{3} / 5

Decimal Form: 1.13

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Felicity drew a triangle on her paper. Angle A of the triangle was 1/3 as big as angle B. Angle C was bigger than angle B. Which
labwork [276]

Answer:

D

Step-by-step explanation:

Let \angle B=x. If angle A of the triangle is 1/3 as big as angle B, then \angle A=\frac{1}{3}\angle B=\frac{1}{3}x.. If angle C was bigger than angle B, then \angle C>x. Consider all options:

A. 30°, 60°, 90°. Angles  30° and 90° can be anglea A and B, But 60°<90°. False.

B.  25°, 55°, 100°. Here are no angles such that one of them is three times greater. False

C.  20°, 60°, 110°. Since 20°+60°+110°>180°, these angles cannot be triangle's angles. False

D. 15°, 45°, 120°. If x=45^{\circ}, then \frac{1}{3}\cdot 45^{\circ}=15^{\circ} and 110^{\circ}>45^{\circ}. True

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3 years ago
Help please please will give brainlist please!!!!!
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

e simplest type of interest is called, appropriately, “simple interest.” If you were to loan a friend $1000 to start a business and you both agreed that in one year, the friend would repay you $1060, you would earn $60 interest on that investment.

You would earn $60 simple interest. Simple interest is calculated as a percentage of the initial amount borrowed and does not include any additional earnings.

The percentage of the original loan amount that is paid as simple interest is called the interest rate. In our example, the interest rate on a $1000 loan that requires a $60 interest payment in one year is:

The simple interest rate on this loan would be 6%.

Interest Rate = The amount earned on an investment or charged on a loan (% of the principal)

Principal = The original amount of money borrowed for a loan or placed into an investment

Video Source (06:53 mins) | Transcript

The following video shows another example of simple interest and explains how this works with a little more detail.

Video Source (03:44 mins) | Transcript

There are two perspectives on interest. Someone is the lender, and someone is the borrower. From the viewpoint of the lender, interest is great. It allows them to make money on their investment. From the perspective of the borrower, interest can be a big problem. In addition to paying back the original amount of the loan, the borrower must also pay the interest.

The higher the interest rate, the greater the interest payment will be.

Interest Equation: I = Prt

I = Interest

P = Principle

r = Rate (using the decimal form of the %)

t = Time

Amount Owed = P + I

Additional Resources

Khan Academy: Intro to Simple Interest (02:45 mins, Transcript)

Khan Academy: Finding Simple Interest for One Year (05:22 mins, Transcript)

Khan Academy: Finding Simple Interest for Many Years (08:03 mins, Transcript)

Practice Problems

What is the definition for each of the variables in the simple interest formula (I=Prt)?

How much interest will you earn if you invest $500 for three years at a simple interest rate of 4% annually?

How much interest will you earn if you invest $1000 for seven years at a simple interest rate of 8% annually?

What is the total amount of money that you will have at the end of the four years if you invest $2000 for four years at a simple interest rate of 8% annually?

What is the total amount of money that you will have at the end of the six years if you invest $900 for six years at a simple interest rate of 7% annually?

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3 years ago
Avery weighs x pounds. Jada weighs 18 pounds more than Avery. Which expression tells how much the two of them weigh together? x
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Answer:

Second option: x + x + 18

Step-by-step explanation:

You know that "x" represents the Avery's weigth (in pounds).

Let be "y" the weight of Jada in pounds.

Since Jada weighs 18 pounds more than Avery, you can write this expression:

y=x+18

The weight of them together is:

weight\ together=x+y

Substituting, you get:

weight\ together=x+x+18

Therefore, the expression that tells how much the two of them weigh together is the one provided in the second option:

x + x + 18

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Find the common difference for the sequence shown 1/4,5/16,3/8
Vladimir79 [104]
<span>common difference for the sequence = 1/16

cause
1/4 = 4/16
and
3/8 = 6/16

so
4/16 + 1/16 = 5/16
5/16 + 1/16 = 6/16

</span>
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4 years ago
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