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3 years ago

The figure represents the shape of a kitchen floor. What is the area? (round to the nearest hundredth)

Mathematics

2 answers:

Masteriza [31]3 years ago

7 0

Answer:

Step-by-step explanation:

Murljashka [212]3 years ago

5 0

We would divide the shape into a rectangle and a trapezium

The rectangle is of length, 24.5 ft and width 10.75 ft

Area = 24.5 * 10.75 = 263.375 square feet.

Trapezium : Parallel sides are 18.5 ft and 24.5 ft
Height: 12 - 10.75 = 1.25ft

Area of Trapezium = (1/2)*(Sum of Parallel sides)*height

= 1/2 * (18.5+24.5)* 1.25
= 1/2 * 43* 1.25 = 26.875

Total Area = Area of Rectangle + Area of Trapezium

= 263.375 + 26.875 = 290.25

Area = 290.25 ft² (D)

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Factor by grouping 20p³+15p²+24p+18

ivolga24 [154]

(4p +3)(5p2 + 6) is your answer

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3 years ago

Macy's if offering a sale where you can use two different coupons, Coupon A gives 15%

Juliette [100K]

The ticket price of the item after applying coupon B first and then coupon A is $65.45

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The ticket price of the item after coupon B is applied is $77

Ticket price after coupon A is applied

The item costs $77 when coupon B is applied. If the discount is 15% off on coupon A, it means that the item costs 85%( 100 - 15%) of its initial price.

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A similar question was solved here: brainly.com/question/17413216?referrer=searchResults

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2 years ago

Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer

IgorLugansk [536]

Transform Y to Z, which is distributed N(0, 1), using the formula

Y = µ + σZ

where µ = -16 and σ = 1.21.

Pr[-15.043 < Y ≤ k] = 0.1546

Pr[(-15.043 + 16)/1.21 < (Y + 16)/1.21 ≤ (k + 16)/1.21] = 0.1546

Pr[0.791 < Z ≤ (k + 16)/1.21] ≈ 0.1546

Pr[Z ≤ (k + 16)/1.21] - Pr[Z < 0.791] = 0.1546

Pr[Z ≤ (k + 16)/1.21] = 0.1546 + Pr[Z < 0.791]

Pr[Z ≤ (k + 16)/1.21] ≈ 0.1546 + 0.786

Pr[Z ≤ (k + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (Φ(x) denotes the CDF itself):

(k + 16)/1.21 ≈ Φ⁻¹ (0.940) ≈ 1.556

Solve for k :

k + 16 = 1.21 • 1.556

k ≈ -14.118

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3 years ago

My friend sets out walking at a speed of $3$ miles per hour. I set out behind her $5$ minutes later at $4$ miles per hour. When

r-ruslan [8.4K]

Answer: The answer is 0.25 miles.

Step-by-step explanation: Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.

Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.

In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.

In 1 minute, distance travelled by my friend is

$\dfrac{3}{60}=\dfrac{1}{20}~\textup{miles}.$