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3 years ago

Plss help me!!

Mathematics

1 answer:

lakkis [162]3 years ago

4 0

Step-by-step explanation:

The problem statement says λ<1. If this is true, then the cannonball is slower than the boat, and it will never reach the boat. So I assume it's actually λ>1.

If we say t is the amount of time, then the boat travels south a distance of ut, and the cannonball travels a distance of λut.

v = λut

ut = v/λ

Using Pythagorean theorem:

d² + (ut)² > v²

d² + (v/λ)² > v²

λ²d² + v² > λ²v²

λ²d² > (λ² − 1) v²

λ² / (λ² − 1) > (v/d)²

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There’s only one question (picture)

oee [108]

Area of circle is 314 inches^2

Circumference of circle is 62.8 inches

Step-by-step explanation:

We need to find area and circumference of the circle whose diameter is 20 inches.

Area of circle

The formula used to find area of circle is:

$Area=\pi r^2$

value of π = 3.14

we know radius = diameter/2

So, radius = 20/2 = 2

Putting value of π and radius we get Area:

$Area=\pi r^2\\Area= 3.14*(10)^2\\Area=3.14*100\\Area=314\,\,inches^2$

So, Area of circle is 314 inches^2

Circumference of Circle

The formula used to find circumference of circle is:

$Circumference=\pi d$

value of π = 3.14

diameter= 20

Putting value of π and diameter we get Circumference:

$Circumference=\pi d\\Circumference=3.14*20\\Circumference=62.8\,\,inches$

So, circumference of circle is 62.8 inches

Keywords: Area and Circumference of Circle

Learn more about Area and Circumference of Circle at:

#learnwithBrainly

7 0

3 years ago

used to flavor vanilla ice cream and other foods) is the substance whose aroma the human nose detects in the smallest amount. Th

lubasha [3.4K]

Answer:

The cost to supply enough vanillin so that the aroma could be detected in a large aircraft hangar with a volume of 5.95 x 10^7 ft^3 is $ 0.07.

Step-by-step explanation:

The volume of the hangar is

$V=5.95*10^7 \, ft^3$

The minimal amount of vainilla needed to be detected in the hangar is equivalent to the threshold multiplied by the volume of the hangar:

$Va=V*Th=5.95*10^7 \, ft^3*2.0*10^{-11}\,\frac{g}{L}*\frac{28.317L}{1ft^3}\\ \\Va=336.9723*10^{-4} \, g=0.0337\,g$

The cost of this amount of vainilla is

$Cost = Va*p=0.0337\,g*\frac{104\, usd}{50\, g} =0.07 \, usd$

The cost to supply enough vanillin so that the aroma could be detected in a large aircraft hangar with a volume of 5.95 x 10^7 ft^3 is $ 0.07.

5 0

4 years ago

Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make

Lisa [10]

9514 1404 393

Answer:

The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.

Step-by-step explanation:

The contribution margin of each necklace is the difference between its selling price (x) and its cost (2.75). Then the total profit from 8 necklaces would be ...

8(x -2.75)

If Rita wants that profit to be $78, then she needs to solve the equation ...

8(x -2.75) = 78 . . . . correct equation

The solution is ...

x -2.75 = 9.75 . . . . divide by 8

x = 12.50 . . . . . . . . add 2.75

She needs to sell each necklace for $12.50.

4 0

3 years ago

Read 2 more answers

3.40/12.92<br>step by step please

Leviafan [203]

0.26316... Is your answer.

Steps:

Divide the numbers 3.4 & 12.92. (3.4 ÷ 12.92)

Which gets your answer.

Hope this helped :)

7 0

4 years ago

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KiRa [710]

What diagram? There's no diagram.

4 0

3 years ago

Read 2 more answers