MATHEMATICS HIGH SCHOOL

Abc similar to def the area of abc is 45cm and the area of triangle def is 20cm one side of triangle abc is 3.6cm the the length of corresponding side of triangle def is

Answers

Answer 1
Answer:

Answer:

2.4cm

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

that means two lengths of the triangle have to be multiplied.

and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.

multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).

so, if the area of triangle 1 is

"baseline 1" × "height 1" / 2 = 45 cm²

then the area of triangle 2 is

"baseline 2" × "height 2" / 2 =

= "baseline 1"×f × "height 1"×f /2 =

= "baseline 1" × "height 1" × f² / 2 =

= ("baseline 1" × "height 1" / 2) × f² =

= 45 × f² = 20 cm²

f² = 20/45 = 4/9

f = 2/3

so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is

3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm

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Step-by-step explanation:

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Answers

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Answers

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Cual es la fórmula del área de un triángulo

Answers


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Please help me! You are offered a job as a sales professional. You are offered a monthly base (fixed) salary of $1,000 plus 30% of the total sales you make for the month.

1) Write a linear function that represents your monthly income.

2) What is the slope? What does it mean in this context?

3) What is the y-intercept? What does it mean in this context?

4) BONUS (1 pt) If you sell $5,000 worth of product, what is your monthly income?

Answers

Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

1)

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

2)

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3)

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4)

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

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b) 1/7
c) 24/25
d) 3/4

Answers

b) 1/7 because no matter how many times you spin the odds are always 1 out of all 7 of the colors
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