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Liono4ka [1.6K]
3 years ago
10

All help is much appreciated please and thank you

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0
Once again similar traingles.

With same ratioes as before.

RS/RT = RV/RU=SV/TU = 1/2

\frac{w - 41}{w}  =  \frac{1}{2}  \\ 2w - 82 = w \\ w = 81 \: units
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4x + 5y = 3 2x + 3y = 1Solve by elimination
Lesechka [4]

Answer:

The solution to the system of equations is:

x = 2, and y = -1

Explanation:

Given the pair of equations:

4x + 5y = 3 ..........................................................................(1)

2x + 3y = 1............................................................................(2)

To solve this by elimination:

Multiply equation (2) by 2, to eliminate x

Equation (2) becomes

4x + 6y = 2 .........................................................................(3)

Subtract equation (1) from (3)

4x - 4x + 6y - 5y = 2 - 3

y = -1 ....................................................................................(4)

Multiply equation (1) by 3 and equation (2) by 5 to eliminate y

Equation (1) becomes

12x + 15y = 9 .......................................................................(5)

Equation (2) becomes

10x + 15y = 5 ........................................................................(6)

Subtract equation (6) from (5)

12x - 10x + 15y - 15y = 9 - 5

2x = 4

Divide both sides by 2

x = 4/2 = 2 ............................................................................(7)

From equations (7) and (4)

x = 2, and y = -1

7 0
1 year ago
The numbers 32 and 12 are each rounded to the nearest ten and then multiplied to estimate the product. What is the
seropon [69]

Answer:

300

Step-by-step explanation:

if  you round 32 and 12 to the nearest it would be 30 an 10 so u multiply 30 times 10 too get 300

4 0
3 years ago
Find the derivative of the function. y = sin−1(6x + 1)
liraira [26]

If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

y=\sin^{-1}(6x+1)\implies\sin y=6x+1

(true for <em>y</em> between -π/2 and π/2)

Now take the derivative of both sides and solve for it:

\cos y\dfrac{\mathrm dy}{\mathrm dx}=6

\dfrac{\mathrm dy}{\mathrm dx}=6\sec y

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\cos\left(\sin^{-1}(6x+1)\right)}

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\sqrt{1-(6x+1)^2}}

7 0
3 years ago
How many atoms sodium would a 4 mole sample of Na3P have?
ioda
<h3>Answer:</h3>

2 × 10²⁴ atoms Na₃P

<h3>General Formulas and Concepts:</h3>

<u>Math</u>

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Chemistry</u>

<u>Atomic Structure</u>

  • Using Dimensional Analysis
  • Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.
<h3>Step-by-step explanation:</h3>

<u>Step 1: Define</u>

4 mol Na₃P

<u>Step 2: Identify Conversions</u>

Avogadro's Number

<u>Step 3: Convert</u>

<u />\displaystyle 4 \ mol \ Na_3P(\frac{6.022 \cdot 10^{23} \ atoms \ Na_3P}{1 \ mol \ Na_3P} ) = 2.4088 × 10²⁴ atoms Na₃P

<u>Step 4: Check</u>

<em>We are given 1 sig fig. Follow sig fig rules and round.</em>

2.4088 × 10²⁴ atoms Na₃P ≈ 2 × 10²⁴ atoms Na₃P

7 0
3 years ago
Which expression can be used to find the arc length of the sector shown?
choli [55]

Answer:

A

Step-by-step explanation:

<em>I just did this one</em>

7 0
3 years ago
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