All categories

3 years ago

A regular pentagon with a perimeter of 21 inches is dilated by a scale factor of

Mathematics

2 answers:

levacccp [35]3 years ago

5 0

<h3>Answer: 35 inches</h3>

Each side of the pentagon is multiplied by 5/3 to get the length of each new side, so the perimeter is multiplied by 5/3 to get the new perimeter.

New perimeter = (scale factor)*(old perimeter)

New perimeter = (5/3)*(old perimeter)

New Perimeter = (5/3)*(21)

New Perimeter = (5/3)*(21/1)

New Perimeter = (5*21)/(3*1)

New Perimeter = 105/3

New Perimeter = 35 inches

Maslowich3 years ago

5 0

Answer:

it is 35 for ttm

You might be interested in

Two numbers that differ by 46

Reil [10]

the complete question is

Find two numbers whose difference is 46 and whose product is a minimum

Let

x------->larger number

y-------> smaller number

P-------> product of the two numbers

we know that

$x-y=46\\ y=x-46$ -----> equation 1

$P=x*y$ -----> equation 2

substitute equation 1 in equation 2

$P=x*[x-46]\\ P=x^{2} -46x$

using a graph tool

see the attached figure

Find the value of x for that the product P is a minimum

the vertex is the point $(23,-529)$

that means, for $x=23$

the product is a minimum $P=-529$

find the value of y

$y=x-46\\ y=23-46\\ y=-23$

therefore

the answer is

the numbers are $23$ and $-23$

7 0

3 years ago

Read 2 more answers

Express the rate 50 yards per minute in feet per second

FrozenT [24]

   (50 yards/minute) x (3 feet/yard) x (1 minute / 60 seconds)

   = (50 · 3 · 1 / 60) (yard-feet-minute) / (minute-yard-second)

   =    2.5 feet/second .

3 0

3 years ago

Read 2 more answers

What is the volume of a sphere that has a diameter of 12 cm? (Round to the nearest whole number)

ivann1987 [24]

Answer:

V≈904.78cm³

Step-by-step explanation:

3 0

3 years ago

a family buys a new home for $212,500 and pays a 20% down payment ($42,500). if the mortgage is for 15 years at 5.75% interest w

diamong [38]

Answer:

Their monthly house payment is of $2,184.65.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

A family buys a new home for $212,500 and pays a 20% down payment ($42,500).

This means that the loan is of 212,500 - 42,500 = $170,000, that is, $P = 170,000$