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dedylja [7]
3 years ago
12

In a triangle ABC,AB=5.8 cm BC=4.2cm and CA=3.6cm,name the greatest and smallest angles of the triangle.​

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Step-by-step explanation:

c is greatest angle

where as b is smallest

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In preparing a certain ointment, a pharmacist used 28.35 g of zinc oxide instead of the 31.1 g called for. Calculate the percent
Vilka [71]

Answer: 9.70%

Step-by-step explanation:

The formula to find the percentage error is given by :-

\%\text{ error}=\dfrac{|\text{Estimate-Actual}|}{\text{Actual}}\times100

Given : Actual mass of zinc oxide used by pharmacist = 28.35 g

Estimated mass of zinc oxide used by pharmacist =31.1 g

Now, \%\text{ error}=\dfrac{|31.1-28.35|}{28.35}\times100

i.e. \%\text{ error}=\dfrac{2.75}{28.35}\times100

i.e. \%\text{ error}=9.70017636684\approx9.70\%

Hence, the  percentage of error on the basis of the desired quantity.= 9.70%

5 0
3 years ago
In which of the expressions below will x = 3? Select all that apply.
Westkost [7]

Answer: b

Step-by-step explanation: 19 x 3 = 57 & 12 x 3= 36 so subtract 57 and 36 that’s going to give you 21 & 21 plus 6 is 27

7 0
2 years ago
Sneha is planning a 5-night vacation. It will cost $50 for transportation, $290 for food, and $95 per night for a hotel room. Sh
Goshia [24]

Answer:

Step-by-step explanation:

Total cost for trip = 290 + 50 + 95*5 =290+50+ 475 = $ 815

Savings = $143

Money needed = 815 - 143 = $ 672

No. of driveways = 672/48 = 14

14 driveways must she shovel to have enough money to pay for the trip.

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3 years ago
If you’re good with geometry can you help me?
Paladinen [302]

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a: AB is perpendicular to CD

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4 0
3 years ago
Find the derivative.
krek1111 [17]

Answer:

\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

  • Expanding/Factoring

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]:                                                                           \displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \frac{\sqrt{x}}{e^x}

<u>Step 2: Differentiate</u>

  1. Derivative Rule [Quotient Rule]:                                                                   \displaystyle f'(x) = \frac{(\sqrt{x})'e^x - \sqrt{x}(e^x)'}{(e^x)^2}
  2. Basic Power Rule:                                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}(e^x)'}{(e^x)^2}
  3. Exponential Differentiation:                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}
  4. Simplify:                                                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}
  5. Rewrite:                                                                                                         \displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}
  6. Factor:                                                                                                           \displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0
2 years ago
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