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2 years ago

The radius of the circular lens of a magnifying glass is 4 centimeters.

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

5 0

Answer: 50.24 square centimeters.

Step-by-step explanation:

Given: The radius of the circular lens of a magnifying glass = 4 centimeters

The area of a circle is given by :-

$\text{Area}=\pi r^2$ , where r is the radius of the circle.

Then the area of the circular lens of a magnifying glass is given by :-

$\text{Area}=\pi (4)^2=(3.14)(16)=50.24\text{ square centimeters }$

Hence, the area of the circular lens of a magnifying glass = 50.24 square centimeters.

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if xy=c^2, prove that x^2 dx/dy+c^2=0

tatyana61 [14]

Hello,

xy=c²==>y=c²/x
==>y'=dy/dx=-c²/x²==>x² dy/dx+c²=0 (there is a mistake)

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2 years ago

hmu also What is the sum and classification of Two-fifths + StartRoot 88 EndRoot? 9.78083151..., irrational 9.78083151..., ratio

schepotkina [342]

Answer:

9.78083151 irrational

Step-by-step explanation:

Here, we want to sum 2/5 + √(88) and check if it is rational or irrational

2/5 = 0.4

√88 = 2 √22

So 0.4 + 2 √22

So what we want to do here is add a rational number to an irrational number. Kindly recall that surds are irrational numbers.

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so we have;

9.780831519647 irrational

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2 years ago

Read 2 more answers

The density of an object can be found by taking its mass and dividing by its volume. Write an equation to represent the relation

prisoha [69]

Answer:

Step-by-step explanation:

The density of an object can be found by taking its mass and dividing by its volume.

Hence if density is D , Mass is M and Volume is V

$D=\frac{M}{V}$

M = 500 gms

V = 40 cubic cm

$D=\frac{500}{40}$

$D=12.5$

M = 125 gms

V = 1.4 cubic cm

$D=\frac{125}{1.4}$

$D=89.28$

D =89.28 gm per cc

3 0

2 years ago

Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 poun

ehidna [41]

Lynn mixes 39 pounds of water with 48 pounds of brick dust, so the mixture has a total weight of 39 + 48 = 87 pounds.

13 pounds are spilled during mixing, so she's left with 87 - 13 = 74 pounds to turn into bricks.

7 pounds are needed for 1 brick, so she can make 10 bricks because 7 • 10 = 70 and 7 • 11 = 77, and 70 < 74 < 77.

If she uses the mixture to make 10 bricks, she uses up 70 pounds of it, which leaves 4 pounds to be washed out.

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2 years ago

Fertiliser is sold in 100kg bags labelled with the amount of nitrogen (N), phosphoric acid (P2O5), and potash (K2O) present. The

anzhelika [568]

Answer:

We need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

Step-by-step explanation:

Let's first list the percentage compositions of each fertilizer type:

<u>Vigoro Ultra Turf:</u>

Nitrogen (N) = 29 kg

Phosphoric Acid (P2O5) = 3 kg

Potash (K2O) = 4 kg

<u>Parkers Premium</u>

Nitrogen (N) = 18 kg

Phosphoric Acid (P2O5) = 25 kg

Potash (K2O) = 6 kg

We can set up simultaneous equations to find out the amount of 100 kg bags of each fertilizer needed:

x = Vigoro Ultra turf (one bag)

y = Parkers Premium (one bag)

29x + 18y = 217 -Equation 1

3x + 25y = 115 -Equation 2

4x + 6y = 44 -Equation 3

Solving for x and y, we get:

x = 5

y = 4

This means we need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

6 0

2 years ago