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EastWind [94]
3 years ago
6

Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tile

s. The square tile is One-half foot by One-half foot and costs $0.45 per tile. The rectangular tile is 2 feet by One-fourth foot and costs $0.80 per tile.
Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:

b. She should choose the rectangular tiles because the total cost will be $8 less.

Step-by-step explanation:

Which tile should Orchid choose to minimize costs? Explain.

a. She should choose the square tiles because the total cost will be $8 less.

b. She should choose the rectangular tiles because the total cost will be $8 less.

c. She should choose the square tiles because the total cost will be $14 less.

d. She should choose the rectangular tiles because the total cost will be $14 less.

Area of a square tile = 1/2 × 1/2

= 1/4

= 0.25 square feet

Area of rectangular tile = 2 × 1/4

= 2/4

= 0.5 square feet

Number of square tile needed = Area of the bathroom floor / Area of the square tile

= 40 square feet / 0.25 square feet

= 160

Number of square tile needed = 160

Cost of square tile needed = number of tiles × cost per tile

= 160 × $0.45

= $72

Cost of square tile needed = $72

Number of rectangular tile needed = Area of the bathroom floor / Area of the rectangular tile

= 40 square feet / 0.5 square feet

= 80

Number of rectangular tile needed = 80

Cost of rectangular tile needed = number of tiles × cost per tile

= 80 × $0.80

= $64

Cost of rectangular tile needed = $64

Cost of square tile needed = $72

Cost of rectangular tile needed = $64

IRISSAK [1]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Just took the quiz

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3 years ago
Please help ! I have been stuck on this calculus problems, I will mark you brainliest!​
Anna71 [15]

Answer:

\displaystyle J'(3) = -1

General Formulas and Concepts:

<u>Algebra I</u>

  • Functions
  • Function Notation

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative Rule [Chain Rule]:                                                                                       \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Derivative:                                                                                                                     \displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle J(x) = e^{f(x)}<em />

<em />

<u>Step 2: Differentiate</u>

  1. eˣ Derivative [Derivative Rule - Chain Rule]:                                                  \displaystyle J'(x) = \frac{d}{dx}[e^{f(x)}] \cdot \frac{d}{dx}[f(x)]
  2. Simplify:                                                                                                             \displaystyle J'(x) = f'(x)e^{f(x)}

<u>Step 3: Evaluate</u>

  1. Substitute in <em>x</em> [Derivative]:                                                                              \displaystyle J'(3) = f'(3)e^{f(3)}
  2. Substitute in function values:                                                                          \displaystyle J'(3) = -e^{0}
  3. Simplify:                                                                                                             \displaystyle J'(3) = -1

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

Unit: Derivatives

Book: College Calculus 10e

4 0
3 years ago
Pls pls pls help if ur good with angles and sides ​
liq [111]

Answer:

∆PQR: Equilateral Triangle

∆PRT: Scalene Triangle

∆TQS: Isosceles Triangle

∆QNP: Right Triangle

Step-by-step explanation:

∆PQR is an Equilateral Triangle because all of its angles are equal (60°).

∆PRT is a Scalene Triangle because none of its sides are equal.

The triangle above it is equilateral, and one side length is 14, meaning all of its side lengths are 14.

This makes the top of ∆PRT 14. The hypotenuse is given and it’s 18.

The last side left is clearly shorter than both, meaning none of the sides are equal.

∆TQS is an Isosceles Triangle because 2 angles are equal.

The base angles are both 76°.

∆QNP is a Right Triangle because segment QN and PR are perpendicular, creating two 90° angles on both sides.

For number 10, I suggest using a graphing calculator or desmos to graph the points. (Or you can just add the points but I suggest graphing).

From there, you can count the length of each side.

Segment DE: 9

Segment EF: 8

Segment FD: 10

This makes ∆DEF in number 10 a Scalene Triangle because none of its sides are equal.

For number 11, I also suggest graphing the points and counting the sides.

Segment DE: 7

Segment EF: 9

Segment FD: 7

This makes ∆DEF in number 11 an Isosceles Triangle because 2 of its sides are equal.

Hope this helps! :)

4 0
3 years ago
Which of the following sentences could not be used to represent the equation = 14?
Andreas93 [3]

Answer:

i think it's C

Step-by-step explanation:

process of elimination

Hope this helps my dude! :- )

3 0
3 years ago
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