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weeeeeb [17]
3 years ago
14

A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on

Mathematics
1 answer:
choli [55]3 years ago
7 0

Answer:

48 cm

Step-by-step explanation:

Given:

Distance of rod from the wall = 45 cm

Distance of rod from the light = 15 cm

Length of rod = 12 cm

We can see that <DAM and <BAF are equal

Also, <DMA and <BFM are equal because they are corresponding angles

To find the length of the shadow, let's take the equation

\frac{DM}{BF} = \frac{AM}{A.F}

Where.:

DM = ½ of length of the rod = ½*12 = 6

A.F = 15 + 45 = 60 cm

AM = 15 cm

Therefore,

\frac{DM}{BF} = \frac{AM}{A.F}

= \frac{6}{BF} = \frac{15}{60}

Cross multiplying, we have:

15 * B.F = 60 * 6

15 * B.F = 360

BF = \frac{360}{15}

BF = 24 cm

The shadow on the wall =

2 * BF

= 2 * 24

= 48 cm

The shadow on the wall is 48 cm

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The statement for geometric model using algebra tiles represents the factorization is the statement number 2.

<h3>What is algebra tile?</h3>

Algebra tiles used to represent the algebraic expression in the table form. The shape of algebra tile is square and rectangle, in which the variables represented.

The given polynomial equation in the problem is,

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In the above polynomial, the highest power of variable is 2. Thus, it is a quadratic equation.The image of the algebra tile for the given polynomial attached below.

The statement which satisfy the polynomial and its algebra tile is,

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