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3 years ago

Can help me complete this problem please :,c

Mathematics

2 answers:

il63 [147K]3 years ago

8 0

<h2>Answer:</h2>

<u>The area would be</u><u> 1728 km²</u>

<h2>Step-by-step explanation:</h2>

The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the center of the circle.

So in the given diagram, by putting the values in ½ r² ∅ we get

Area = ½ 8² x 54

Area = 1728 km²

GalinKa [24]3 years ago

6 0

Answer:

= 30.144 km²

Step-by-step explanation:

Area of a sector is given by the formula;

θ/360 × πr², where θ is the angle subtended by the arc to the center of the circle, and r is the radius.

Area = 54/360 × 3.14 × 8 × 8

= 30.144 km²

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Answer:

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3 years ago

What is the common ratio in the following geometric sequence?

VARVARA [1.3K]

Hey there!

A common ratio is just that number that you multiply or divide to each number that gets you the next in a geometric sequence. In this sequence, we know the numbers are getting bigger and we're multiplying, so we want to know what you're multiplying by the first number to get to the second. We can call this unknown number x. SO if we start with the first number and set up an equation, we get:

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3 years ago

Idk what to do.And this is due tomorrow

Flauer [41]

Answer:

<u>Question 1:</u>

5 pints per hour

<u>Question 2:</u>

480 tons per day

<u>Question 3:</u>

12 miles per gallon of gasoline

<u />

Step-by-step explanation:

<u>Question 1:</u>

<h2><em>In the morning;</em></h2>

A farm worker packed 3 pints of grapes every 4 minutes.

1 minute = $\frac{1}{60}$ hours

Packing rate in pints per hour = 3 pints ÷ $\frac{4}{60}$ hours = 45 pints per hour

<h2><em>In the afternoon;</em></h2>

She packed 2 pints of grapes every 3 minutes.

Packing rate in pints per hour = 2 pints ÷ $\frac{3}{60}$ hours = 40 pints per hour.

The difference between her morning and afternoon packing rates (in pints per hour) = 45 pints per hour - 40 pints per hour = 5 pints per hour

<u>Question 2:</u>

A recycling plant processes an average of $\frac{1}{3}$ tons of glass each minute.

1 hour = 60 minutes

The number of tons of glass processed in 1 hour is:

$\frac{1}{3}$ × 60 = 20 tons of glass in 1 hour.

1 day = 24 hours

Number of tons of glass processed in a day = 20 tons × 24 = 480 tons

<u>Question 3:</u>

A vehicle uses 1 $\frac{1}{8}$ gallons of gasoline to travel 13 $\frac{1}{2}$ miles.

Per 1 gallon of gasoline the vehicle will travel:

1 × 13 $\frac{1}{2}$ ÷ 1 $\frac{1}{8}$ = 12 miles

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3 years ago

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3 years ago

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VladimirAG [237]

Answer:

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Step-by-step explanation:

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Hope This Helps!!!

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3 years ago