All categories

3 years ago

If the scale factor of figure a to figure b is 7:2 find the perimeter of figure a whenever the perimeter of figure b is 35

Mathematics

2 answers:

Zanzabum3 years ago

5 0

Answer:

122.5

Step-by-step explanation:

The scale factor of two figures is the ratio of the corresponding sides or in this case the perimeters. The scale factor of figure a to figure b is 7:2 this means that for 7 units of perimeter on the a figure, there are 2 units of perimeter on the b figure.

To obtain the perimeter of the figure a we arrange the equation (the ratio is maintained so both sides of the equation are equal):

$\frac{7}{2}=\frac{x}{35}$

where x will be the perimeter of figure a. We solve for a like this:

$x=\frac{35*7}{2}=122.5$

a figure perimeter is 122.5

Svetllana [295]3 years ago

3 0

a 7 P

-------= --------

b 2 35

Using cross products

7*35 = P*2

P = 7*35/2

P = 122.5

You might be interested in

The table below shows the distribution of students who speak some Ghanaian languages.

melisa1 [442]

Answer:27.78% ; Twi; 1/3

Step-by-step explanation:

Given the data :

Language - - - - - - - Number of students

Nzema - - - - - - - - - - - 5

Ga - - - - - - - - - - - - - - - 20

Twi - - - - - - - - - - - - - - - 30

Ewe - - - - - - - - - - - - - - - 25

Fante - - - - - - - - - - - - - - 10

1.) To prepare pie chart:

Total number of students :

(5 + 20 + 30 + 25 + 10) = 90 students

Nzema: (5/90) × 360 = 20

Ga : (20/90) × 360 = 79.99 = 80

Twi : (30/90) × 360 = 119.99 = 120

Ewe : (25/90) × 360 = 79.99 = 100

Fante : (10/90) × 360 = 39.99 = 40

Total = 360

Pie chart is attached in the picture below

2)Percentage students that speak Ewe = (25/90) * 100 = 27.78%

Or (100/360) * 100 = 27.78%

3.) Modal language : This is the language spoken by majority of the students = Twi

4.) Fraction of student that speak either GA or Fante :

(GA or Fante) = (20 + 10) / 90 = 30/90 = 1/3

3 0

3 years ago

There are fewer than 8 gallons of gas in the tank how do I write an inequality for that

Airida [17]

G<8 g as a variable for gallons

6 0

3 years ago

You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.19 a p

SSSSS [86.1K]

Answer:

Yes, it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you $0.89.

Step-by-step explanation:

1.) Neighborhood store

It is 2.4 miles away

The car averages about 25 miles per gallon, then you would need:

2.4 miles / (25 miles/gallon) = 0.096 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.096 gallons * ($3.89/gallon) = $0.37344 = $0.37

The chicken is sold for $3.49 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.49/pound) = $20.94

In total you would need:

$0.37 (gas) + $20.94 (chiken) = $21.31 if you buy the chicken in the neiborhood store

2.) Store acroos town

It is 8.2 miles away

The car averages about 25 miles per gallon, then you would need:

8.2 miles / (25 miles/gallon) = 0.328 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.328 gallons * ($3.89/gallon) = $1.27592 = $1.28

The chicken is sold for $3.19 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.19/pound) = $19.14

In total you would need:

$1.28 (gas) + $19.14 (chiken) = $20.42 if you buy the chicken in the store across town

$20.42 < $21.31, then it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you: $21.31-$20.42=$0.89

8 0

3 years ago

On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What i

ZanzabumX [31]

Answer:

Step-by-step explanation:

$54 \div 6 = 9$

3 0

2 years ago

What type of triangle is this?

Lilit [14]

Answer:

equilateral

Step-by-step explanation:

because all sides are equal

3 0

3 years ago

Read 2 more answers