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3 years ago

A bowl of fruit contains only strawberries and grapes. For every 2 strawberries in a bowl there are 5 grapes.

Mathematics

1 answer:

sdas [7]3 years ago

8 0

Answer:

See Explanation

Step-by-step explanation:

Given

Let:

$S \to$ Strawberry

$G \to$ Grape

The given parameter can be represented as:

$S : G = 2 : 5$

Required

The question is incomplete as what is required is not stated.

Possible questions could be to determine the number of strawberries given a certain number of grapes, and vice versa

Take for instance

Calculate the number of grapes when there are 20 strawberries

We have:

$S : G = 2 : 5$

This becomes

$20 : G = 2 : 5$

Express as fraction

$\frac{20}{ G} = \frac{2 }{5}$

Make G the subject

$G = 20 * \frac{5}{2}$

$G = 10 * 5$

$G = 50$

<em>i.e. 50 grapes</em>

<em>Apply the same method given a certain number of grapes</em>

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Semicircles

Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is $9.1\ cm^2$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

$A=b^2$

where

b is the length side of the square

we have

$b=4\ cm$

substitute

$A=4^2=16\ cm^2$

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

$A=\pi r^{2}$

The diameter of the circle is equal to the length side of the square

$r=\frac{b}{2}=\frac{4}{2}=2\ cm$ ---> radius is half the diameter

substitute

$A=\pi (2)^{2}$

$A=4\pi\ cm^2$

Therefore, the area of 2 "not-shaded" regions is:

$A=(16-4\pi) \ cm^2$

and the area of 4 "not-shaded" regions is:

$A=2(16-4\pi)=(32-8\pi)\ cm^2$

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

$A=16-(32-8\pi)=(8\pi-16)\ cm^2$

---> exact value

assume

$\pi =3.14$

substitute

$A=(8(3.14)-16)=9.1\ cm^2$

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Step-by-step explanation:

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Step-by-step explanation:

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