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4 years ago

1. Trinity deposited $6,000 into a savings account 5 years ago. She remembers that the

Mathematics

1 answer:

Rainbow [258]4 years ago

4 0

Answer:

Step-by-step explanation: If interest is compounded yearly, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12; weekly, then n = 52; daily, then n = 365; and so forth, regardless of the number of years involved. Also, "t" must be expressed in years, because interest rates are expressed that way.

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Question: Consider the similarity transformation of ΔABC to produce ΔEDF.

german

Answer:

see the explanation

Step-by-step explanation:

we have triangle ΔABC

step 1

Rotate 90 degrees clockwise ΔABC about point C to obtain ΔA'B'C'

Remember that

A rotation is a rigid transformation

An object and its rotation are the same shape and size, but the figures may be turned in different directions

ΔABC and ΔA'B'C' are congruent

ΔABC≅ ΔA'B'C

step 2

Dilate the triangle ΔA'B'C' to obtain triangle ΔEDF

Remember that

A dilation is a non rigid transformation

A dilation produces similar figures

If two figures are similar, then the ratio of its corresponding angles is proportional and its corresponding angles are congruent

Find the scale factor of the dilation

The scale factor is equal to the ratio of corresponding sides

In this problem

Let

z ----> the scale factor

$z=\frac{ED}{AB}=\frac{DF}{BC}=\frac{EF}{AC}$

Multiply the length sides of triangle ΔA'B'C' by the scale factor z to obtain the length sides of triangle ΔEDF

Note: in this problem the scale factor z is less than 1

That means ----> the dilation is a reduction

3 0

4 years ago

Show an example where the product of two irrational numbers is a rational number.

romanna [79]

Answer:

√2 x √2 = 2

Step-by-step explanation:

Square roots that aren't perfect squares are irrational.

For Ex: √2 is irrational.

But √2 x √2 = √4 = 2. 2 is rational

Ex. 2 : √8 x √2 = √16 = 4. 4 is rational

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3 years ago

Carmen was scuba diving 115 feet below the surface of the ocean. She swam up 20 feet to

Lapatulllka [165]

Answer:

-115+20= -95 so, carmen is scuba diving 95 feet below surface level

Step-by-step explanation:

below surface level means negative

8 0

3 years ago

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Derek has $4.85 in quarters, Dimes, and nickels he has twice as many dimes and six more nickels then dimes.

Ilya [14]

Answer:

Step-by-step explanation:

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3 years ago

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-12 < 2x -4 < -4 Simplify the expression

bekas [8.4K]

Answer:

cjjffitv5xucrurruufryrhgjtrhsgehfjgyrfjgyi

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3 years ago