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grin007 [14]
3 years ago
9

When you describe a quantity with more than one familiar unit (such as kilometers or millimeters for a length), how can you deci

de which is a more appropriate unit to use? While it is not incorrect to use the less appropriate unit, why do you want to avoid using it anyway?
Mathematics
2 answers:
viktelen [127]3 years ago
8 0
You can decide by seeing which one measures object better. you want to avoid using the incorrect unit because it can meaure it wrong or it won't be as accurate as the right unit
Stolb23 [73]3 years ago
8 0

Answer:

When we use smaller units to describe something bigger, it becomes lengthy and confusing to calculate.

Like, if we want to tell the weight of a truck, it is better to use tons rather than grams.

Because 1 ton has 907185 grams approx. So, you can see the calculation becomes long, if we want to convert 5 tons to grams and it will be difficult to say that a truck weighs 4.536e+6 grams.

This is why we avoid using smaller units for larger things.

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Use the distributive property to expand the expression 0.8(50m-30) in simplified Expression
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The answer to this problem is40m-24
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3 years ago
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A company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 3 cm and segment BE = 3.5 cm, w
Simora [160]

Answer: 3.66 cm

Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.

The area A of a rectangle is length multiply by width.

Where length L = 3.5 cm and

width W = 3 cm

Area A = 3.5 × 3 = 10.5 cm^2

The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.

But area A = 10.5. Substitute the values for the area of the cylinder

10.5 = πr^2

10.5 = 3.143 × r^2

Make r^2 the subject of formula

r^2 = 10.5/3.143

r = sqrt ( 3.34225 )

r = 1.828

Diameter = 2 × radius

Diameter = 2 × 1.829

Diameter = 3.656 cm

Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.

8 0
4 years ago
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You want to buy a new sports car from roy's cars for $51,800. the contract is in the form of a 48-month annuity due at an apr of
qwelly [4]
The present value of an annuity is given by

PV= P\left(\frac{1-\left(1+ \frac{r}{t}\right)^{-nt} }{ \frac{r}{t} } \right)

where: PV is the current value of the annuity, P is the periodic payment, r is the apr, t is the number of compounding in one year and n is the number of years.

Thus, given that PV = $51,800; r = 7.8% = 0.078; t = 12; n = 4.

51,800= P\left(\frac{1-\left(1+ \frac{0.078}{12}\right)^{-4\times12} }{ \frac{0.078}{12} } \right) \\  \\ =P\left(\frac{1-(1+ 0.0065)^{-48} }{ 0.0065 } \right)=P\left(\frac{1-(1.0065)^{-48} }{ 0.0065 } \right) \\  \\ =P\left(\frac{1-0.7327}{ 0.0065 } \right)=P\left(\frac{0.2673}{ 0.0065 } \right)=41.12P \\  \\ \Rightarrow P= \frac{51,800}{41.12} =\$1,259.73

Therefore, the <span>monthly payment is $1,259.73</span>
6 0
4 years ago
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F(x)=3x(x^2+4x-5) evaluate f(-2)​
nignag [31]

Answer:

f(-2) = 54

General Formulas and Concepts:

<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> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x(x² + 4x - 5)

f(-2) is x = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x  </em>[Function]:                                                                             f(-2) = 3(-2)[(-2)² + 4(-2) - 5]
  2. [Brackets] Evaluate exponents:                                                                     f(-2) = 3(-2)[4 + 4(-2) - 5]
  3. [Brackets] Multiply:                                                                                         f(-2) = 3(-2)[4 - 8 - 5]
  4. [Brackets] Subtract:                                                                                        f(-2) = 3(-2)[-4 - 5]
  5. [Brackets] Subtract:                                                                                        f(-2) = 3(-2)(-9)
  6. Multiply:                                                                                                           f(-2) = -6(-9)
  7. Multiply:                                                                                                           f(-2) = 54
7 0
3 years ago
A lender charges 3.25% of the loan amount for closing costs on a $165000 home loan. Determine the closing costs.
Natalija [7]

Answer:

$5,362.50

Step-by-step explanation:

3.25% = 0.0325

165000 x 0.0325 = 5,362.50 dollars

5 0
3 years ago
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