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4 years ago

Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?

Mathematics

1 answer:

TEA [102]4 years ago

4 0

Answer:

Yes, because even though their side lengths are different, their internal angles are the same.

Step-by-step explanation:

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To put a narrow border around a square photo, Alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she

olga nikolaevna [1]

Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than 32 inches of trim she has.

Step-by-step explanation:

The formula for calculate the area of a square is:

$A=s^2$

Where "s" is the lenght of any side of the square.

The formula for calculate the perimeter of a square is:

$P=4s$

Where "s" is the lenght of any side of the square.

We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula $A=s^2$ and find its value:

$A=s^2\\\\s=\sqrt{A}[\\\\s=\sqrt{60in^2}\\\\s=2\sqrt{15}in$

Substituting the value of "s" into the formula $P=4s$ , we get that the perimeter of the photo is:

$P=4(2\sqrt{15}in)=30.98in$

Therefore, since Alicia has 32 inches of trim and $30.98in$ , we can conclude that she will have enough trim for all four sides of the square.

8 0

3 years ago

Help please i’ll mark brainliest

ivolga24 [154]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the total length of the beads that are inch long? 6

Ipatiy [6.2K]

Answer:

6 inches

Step-by-step explanation:

IF there are 6 beads in total, that are 1 inch each, 6 x 1 would be 6, therefore its 6 inches

7 0

2 years ago

Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administrati

frosja888 [35]

Answer:

h less-than 2

Step-by-step explanation:

Let

h ---> the number of hours

y ---> the total charge in dollars

we know that

The linear equation is slope intercept form is equal to

$y=mh+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

we have

Grayson

The slope is equal to $m=\$35\ per\ hour$

The y-intercept is $b=\$35$

The total charge is equal to

$y=35h+35$ ----> equation A

Ian

The slope is equal to $m=\$45\ per\ hour$

The y-intercept is $b=\$15$

The total charge is equal to

$y=45h+15$ ----> equation B

For what number of hours does Grayson charge more than Ian?

The inequality that represent this situation is

$35h+35 > 45h+15$

solve for x

Group terms

$35-15 > 45h-35h$

$20 > 10h$

Divide by 10 both sides

$2 > h$

Rewrite the expression

$h< 2\ hours$ ----> h less than 2 hours

6 0

3 years ago

Read 2 more answers

An Eurasian lynx travled 46 miles. It took the

Eddi Din [679]

Answer:

A Eurasian lynx covered 1.07 miles per day.

Step-by-step explanation:

The distance traveled by a Eurasian lynx = 46 miles

The days to cover the 46 miles distance = 43 days

Divide the total distance miles by the total number of days to determine the miles per day.

Thus,

Miles per day = Tota distance / Totdal days

= 46 / 43

= 1.07 miles per day

Thus, An Eurasian lynx covered 1.07 miles per day.

6 0

3 years ago