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True [87]
3 years ago
6

A 30°–60°–90° triangle has a shorter leg with a length of 3 units.

Mathematics
1 answer:
Lena [83]3 years ago
3 0
The hypotenuse is 6. 30-60-90 triangles have a ration of x, x\sqrt{3}, and 2x, respectively. So since you have the value for the 30º side, then you just double it to get the hypotenuse's value.
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The number 1 is an example of an element in the set of natural numbers. true or false​
dangina [55]

Your answer is True!

Some other examples of an element in the set of natural numbers are 2, 3, 4, 5, etc.

Hope this helps you!

~sofia

5 0
2 years ago
Solve the system of equations<br> −4x+3y=−2 <br> y=x−1 ​ <br><br> x = <br> y =
dolphi86 [110]
Answer: x = -1 and y = -2

Step-by-step explanation:

So if you know y = x-1 you can plug that in where y is in the first equation

-4x + 3(x-1) = -2

Distribute the 3:

-4x +3x -3 = -2

Combine like terms:
-x -3 = -2

Add 3 to both sides:
-x = 1

Multiply by -1:
X = -1

Then you plug that into the other equation to get y=(-1)-1

Which is -2
4 0
3 years ago
Zoey invested $230 in an account paying an interest rate of 6.3% compounded daily.
alukav5142 [94]

Answer:

A ≈ $500

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Compounded Interest Rate: A = P(1 + r/n)ⁿˣ

  • A is final amount
  • P is initial (principle) amount
  • r is rate
  • n is number of compounds
  • x is number of years

Step-by-step explanation:

<u>Step 1: Define</u>

P = 230

r = 0.063

n = 365

x = 12

<u>Step 2: Solve for </u><em><u>A</u></em>

  1. Substitute:                    A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾
  2. Divide:                          A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾
  3. Multiply:                        A = 230(1 + 0.000173)⁴³⁸⁰
  4. Add:                              A = 230(1.00017)⁴³⁸⁰
  5. Exponents:                   A = 230(2.1296)
  6. Multiply:                        A = 489.808
3 0
2 years ago
Read 2 more answers
Each of the following is an example of a secured loan EXCEPT:
podryga [215]
The answer is d. A small business loan
4 0
3 years ago
If f(–5) = 0, what are all the factors of the function f (x ) = x cubed minus 19 x + 30? Use the Remainder Theorem.
oksian1 [2.3K]
(x + 5) (x - 2) (x - 3)

4 0
2 years ago
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