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vitfil [10]
3 years ago
14

The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b

est way to interpret the remainder of 37 ÷ 8 so that all cars can cross the harbor? * Ignore the remainder? Add 1 to the quotient? Just use the quotient? Just use the remainder?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

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Step-by-step explanation:

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3 years ago
Need help finding the area of the shaded region. Round to the nearest tenth. Need help ASAP
Sergio [31]

Answer:   294.4 m²

<u>Step-by-step explanation:</u>

Separate the shaded region into two parts:

  1. The section containing the central angle of 230° (360° - 130°)
  2. The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)

1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3

2.\ \text{Use Law of cosines to find the length of the third side.}\\\text{ Then use Heron's formula to find the Area of the triangle.}\\\\s=\dfrac{11.1+11.1+20.12}{2}=21.16\\\\\\A=\sqrt{s(s-a)(s-b)(s-c)}\\\\.\ =\sqrt{21.16(21.16-11.1)(21.16-11.1)(21.16-20.12)}\\\\.\ =\sqrt{2227}\\\\.\ =47.1

Area of shaded region = Area of (1) + Area of (2)

                                      =    247.3     +      47.1

                                      =               294.4

8 0
4 years ago
Read 2 more answers
The sales tax rate in New Mexico is $5.125%.
madreJ [45]

Answer:

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The procedure to add a percentage ratio p to a given quantity q is:

* Calculate the increase as i = p*q/100

* Add the increase to the original quantity to get the final quantity f=q + i

It's given the sales tax rate in New Mexico is p=5.125%. A pair of pants in New Mexico costs q=$30 before tax.

* The increase (tax) is i = (5.125*30)/100 = $1.54

* The price after tax is f = $30 + $1.54 = $31.54

The tax is $1.54 and the price after tax is $31.54

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