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4 years ago

What type of transformation preserves angle measures but changes segment lengths

Mathematics

1 answer:

Lady_Fox [76]4 years ago

4 0

Answer: Dilation

Step-by-step explanation:

Because dilation is a type of transformation that expand or contract without changing the shape and orientation of an object. So, it allows the lengths to change.

Therefore, dilation preserves the angle measures but changes segment lengths.

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Candice deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. About how long will it

Ratling [72]

Time taken for the amount deposited to grow to $5000 will be found as follows:
A=P(1+r/100*n)^nt
where:
A=amount
P=principle
r=rate
n=number of terms
t=time
thus plugging in our values we have:
5000=3587.39=(1+4.2/200)^2t
solving for t we have:
1.393771=1.021^2t
2t=ln1.393771/ln1.021
2t=16.111
t=8.055685 years~8 years

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4 years ago

On a typical day, flights at a local airport arrive at a rate of 10 every 15 minutes. At this rate, how many flights would you e

Hunter-Best [27]

40 because 15×4 is 60 and there is 60 minutes in an hour

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3 years ago

The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati

Ksivusya [100]

<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

$\dfrac{24}{25}$

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

$Perimeter\ of\ R=2(2x+3x)$

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

$Perimeter=2(L+B)$ )

Hence, we get:

$Perimeter\ of\ R=2(5x)$

i.e.

$Perimeter\ of\ R=10x$

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

$\text{Perimeter\ of\ square}=4s$

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

$4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}$

Now, we know that the area of a square is given by:

$\text{Area\ of\ square}=s^2$

and

$\text{Area\ of\ Rectangle}=L\times B$

Hence, we get:

$\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}$

and

$\text{Area\ of\ Rectangle}=2x\times 3x$

i.e.

$\text{Area\ of\ Rectangle}=6x^2$

Hence,

Ratio of the area of region R to the area of region S is:

$=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}$

6 0

4 years ago

Read 2 more answers

Find the surface area of polyhedra <br>Pls!! show how you got the surface area

quester [9]

Answer:

52.48

Step-by-step explanation:

find the cross sectional area which is the triangle

triangle = 1/2 x 8.2 x 6.4 = 26.24

then, use the area to multiply by the extended length of 2

26.24 x 2 = 52.48

4 0

3 years ago

Find a equation for the following pattern! Help!!!

tester [92]

Answer:

y = $\frac{1}{2}$ x

Step-by-step explanation:

The equation of a linear pattern has the form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, $\frac{1}{2}$ ) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table

m = $\frac{1-\frac{1}{2} }{2-1}$ = $\frac{1}{2}$ , thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c use any ordered pair from the table and substitute into the partial equation.

Using (2, 1) , then

1 = 1 + c ⇒ c = 1 - 1 = 0

y = $\frac{1}{2}$ x + 0 ← equation for pattern or quite simply

y = $\frac{1}{2}$ x

6 0

3 years ago