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3 years ago

Please help me with this and can you show me how to do it??

Mathematics

1 answer:

Yanka [14]3 years ago

8 0

Answer:

8 ft²

Step-by-step explanation:

Since ΔEFG ~ ΔABC, they are proportionately related. Each of the corresponding sides differ by the scale factor, which shows how much bigger or smaller the new triangle is from the original triangle.

Purple = original triangle, triangle 1

Pink = new triangle, triangle 2

Find the scale factor, "k". It will be a fraction because the triangle gets smaller.

k = FG/BC = 2/3

The scale factor can be used to find a side, the height or the area of the new triangle.

Use the scale factor squared to find the area.

A₂ = (A₁)(k²)

= (18 ft²)(2/3)²

= 7.999...ft²

= 8 ft²

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The first diagram shows an equilateral triangle and a

liberstina [14]

Answer:

Ar = ¼√3 As

Step-by-step explanation:

Area of an equilateral triangle is:

Ar = ¼√3 s²

Area of a square is:

As = s²

Substituting:

Ar = ¼√3 As

4 0

3 years ago

There is 1/ 3 gallon of water in a 3-gallon container. What fraction of the container is filled?

kolbaska11 [484]

Step-by-step explanation:

2/3 gallons is empty

1/3 gallons is filled

3*1/3= 1

1 gallon filled

6 0

3 years ago

Read 2 more answers

2. What is the probability of spinning an A on the first spinner and an odd number

pychu [463]

Answer: <em>1/10</em>

Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.

To find the probability of independent events, first, find the

probability of each event, then multiplies the probabilities.

The probability of spinning an A on the first spinner is 1/5

since there is 1 favorable outcome and 5 total outcomes.

The probability of spinning an odd number on the second spinner

is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,

spinning a 1, 3, or another 3 since these are odd numbers.

So now we have 1/5 × 1/2 and when multiplying fractions,

we multiply across the numerators and denominators to get 1/10.

So the probability of spinning an A, then an odd number is 1/10.

5 0

3 years ago

– g+15>13<br> please help meee

Lorico [155]

Answer:

g>2

Step-by-step explanation:

-g>13-15

-g>-2

g>2

you are welcome

7 0

1 year ago

Read 2 more answers

Determine whether each sum, difference, product,

PIT_PIT [208]

Answer:

28. The difference represents an irrational number

29. The difference represents a rational number

30. The quotient represents a rational number

31. The quotient represents an irrational number

Step-by-step explanation:

* Lets explain how to solve the problem

- The rational number is any numbers can be put in the form of a/b,

where a and b are integers b ≠ 0

- Ex: 1 , 2/3 , 5/4 , 22/7 , 100 , ................

- The irrational number is any number that is not rational

- It is a number that cannot be written as a ratio of two integers

or cannot be expressed as a fraction

- Ex: √2 , √7 , π , ..... (π is irrational because it's approximated value)

- If the part of the the number is irrational, then the number

is irrational

- Ex: (5 + √3) , (√7 + 5) , 2√5 , √11/4 , 5/√13

* Lets solve the problems

28. $\frac{6}{23}-\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The difference represents an irrational number

29. $\frac{6}{23}-\frac{15}{127}$

∵ The two terms are rational numbers

∴ The difference represents a rational number

30. $\frac{6}{23}$ ÷ $\frac{15}{127}$

∵ The two terms are rational numbers

∴ The quotient represents a rational number

31. $\frac{6}{23}$ ÷ $\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The quotient represents an irrational number

7 0

4 years ago