A scale drawing of a rectangle painting is 12 inches long and 8 inches tall. The actual painting is 12 feet tall. What is the scale of the drawing? What is the perimeter of the actual painting? What is the area of the actual painting?

Answer:

24.5

Step-by-step explanation:

Answer:

The area of this shape can not be solved using the information given

Step-by-step explanation:

There is no given side length of any of the shapes.

If one side is given then the whole shape could be solved.

         Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.

         Final amount = [tex]Pe^{rt}[/tex]

         Here, P = Principal amount

                    r = Rate of interest

                    t = Duration of investment

Given in the question,

P = $181.25

t = 7 years

Final amount = $1450

Substitute these values in the expression,

[tex]1450=181.25e^{7r}[/tex]

[tex]e^{7r}=8[/tex]

[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]

[tex]7r=2.07944[/tex]

[tex]r=0.2971[/tex]

[tex]r=29.71\%[/tex]

       Therefore, rate of intereset for the investment is 29.71%.

Learn more about continuous compounding here,

https://brainly.com/question/13079114?referrer=searchResults

Answer:

40

Step-by-step explanation:

I believe that should be right

Step-by-step explanation:

Airplane One 425m/h x 2h= 850 miles traveled N5°W

Airplane Two 530m/h x 2h= 1060 miles traveled N67°E

5 degrees + 67 degrees = 72 degrees divergence of the Airplane One and Two

Draw a triangle, the smallest side is 850 and adjacent to 1060 side. The angle between these two sides is 72 degrees

Use the acronym SOH CAH TOA to find the side which is the distance between the 2 airplanes after 2 hours

sine 72= opposite/hypotheneus

sine 72= opposite/1060

opposite = (sine 72)(1060)= 1008 miles distance between Airplane One and Airplane Two

Answer:

-1/4

Step-by-step explanation:

Answer:

4.75b; 8

Step-by-step explanation:

Area of triangle: height ÷ 2 × base

38 = 9.5 ÷ 2 × b

    = 4.75 × b

38 = 4.75b

b = 38 ÷ 4.75

b = 8

Answer:

4.75 & 8

Step-by-step explanation:

Hope this helps

Answer:

L²=(3-0)²+(4-0)²

L²=9+16

L²=25

L=5units

Answer:

Step-by-step explanation:

12.7

Answer:

-6

Step-by-step explanation:

3+7=10

10-6=4

so 3+7-6=+4

hope this helps

Answer:

6

Step-by-step explanation:

= means the same as

3+7 = 10

therefore 4 + ?=10

10-4=6

therefore the missing number is 6

=6

Answer:

90°

Step-by-step explanation:

Answer:

35149.71

that is the answer hope it help

Answer:

976.38 (rounded to the nearest hundredth)

Step-by-step explanation:

11 x 3728 = 41008

7 x 6 = 42

41008/42 = 976.38 (rounded to the nearest hundredth)

Answer:

c=45 +679 =6y=8h

Step-by-step explanation:

Answer:

im confused about the question too

Step-by-step explanation:

sorry ;(

Answer:

14.4

Step-by-step explanation:

Answer:

4   bc it is simple math

Step-by-step explanation:

pls give brainliest

Answer:

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

Step-by-step explanation:

a. V = s3

V = (7 km)3

V = 7 km × 7 km × 7 km

V = 343 km3

b. V = s3

V = (11 yd.)3

V = 11 yd. × 11 yd. × 11 yd.

V = 1,331 km cu. yd.

a. V = l × w × h

V = 6 m × 2 m × 3 m

V = 36 m3

b. V = l × w × h

V = 5 ft. × 10 ft. × 8 ft.

V = 400 cu. ft.

a. V = πr2h

V = 3.14 × (3 in.)2 × 3 in.

V = 3.14 × 9 sq. in. × 3 in.

V = 84.78 cu. in.

b. V = πr2h

V = 3.14 × (1 m)2 × 4 m

V = 3.14 × 1 m2 × 4 m

V = 12.56 m3

V = s3

V = (2 ft.)3

V = 2 ft. × 2 ft. × 2 ft.

V = 8 cu. ft.

Answer: The capacity of the ice chest is 8 cubic feet.

V = πr2h

V = 3.14 × (1 ft.)2 × 3 ft.

V = 3.14 × 1 sq. ft. × 3 ft.

V = 9.42 cu. ft.

Answer: The volume of the trash can is 9.42 cubic feet.

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.

Volume of Can

V = πr2h

V = 3.14 × (1.5 in.)2 × 5 in.

V = 3.14 × 2.25 sq. in. × 5 in.

V = 35.325 cu. in.

Volume of Pan

V = πr2h

V = 3.14 × (4 in.)2 × 3 in.

V = 3.14 × 16 sq. in.× 3 in.

V = 150.72 cu. in.

35.325 cu. in. soup can < 150.72 cu. in pan

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

Answer:

1.

a. V = s3

V = (7 km)3

V = 7 km × 7 km × 7 km

V = 343 km3

b. V = s3

V = (11 yd.)3

V = 11 yd. × 11 yd. × 11 yd.

V = 1,331 km cu. yd.

2.

a. V = l × w × h

V = 6 m × 2 m × 3 m

V = 36 m3

b. V = l × w × h

V = 5 ft. × 10 ft. × 8 ft.

V = 400 cu. ft.

3.

a. V = πr2h

V = 3.14 × (3 in.)2 × 3 in.

V = 3.14 × 9 sq. in. × 3 in.

V = 84.78 cu. in.

b. V = πr2h

V = 3.14 × (1 m)2 × 4 m

V = 3.14 × 1 m2 × 4 m

V = 12.56 m3

5.

V = s3

V = (2 ft.)3

V = 2 ft. × 2 ft. × 2 ft.

V = 8 cu. ft.

Answer: The capacity of the ice chest is 8 cubic feet.

V = πr2h

V = 3.14 × (1 ft.)2 × 3 ft.

V = 3.14 × 1 sq. ft. × 3 ft.

V = 9.42 cu. ft.

Answer: The volume of the trash can is 9.42 cubic feet.

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.

Volume of Can

6.

V = πr2h

V = 3.14 × (1.5 in.)2 × 5 in.

V = 3.14 × 2.25 sq. in. × 5 in.

V = 35.325 cu. in.

Volume of Pan

V = πr2h

V = 3.14 × (4 in.)2 × 3 in.

V = 3.14 × 16 sq. in.× 3 in.

V = 150.72 cu. in.

35.325 cu. in. soup can < 150.72 cu. in pan

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a geometric sequence; we know that because of the words "common ratio."  The general formula for a geometric sequence is

a(n) = a(1)*r^(n - 1), where r is the common ratio.

Here, a(1) = 1, r = 1/3, and so

a(1) = 1 (given)

a(2) = 1/3 (this is a(1) multiplied by 1/3)

a(3) = 1/9 (this is a(2) multiplied by 1/3)

a(4) = 1/27

a(5) = 1/81

Answer:

A because 6.75 - 5.25 is 1.5

Answer:

c the ratio of shots made to shots taken if 7 out of 12 shots taken are made

E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by a divided by b.

A the ratio of shells to rocks if there are 7 rocks and 12 shells

12 shells and 7 rocks, so this ratio is 12 to 7.

B the ratio of shoes to dresses if there are 7 dresses and 12 shoes

12 shoes and 7 dresses, so this ratio is 12 to 7.

c the ratio of shots made to shots taken if 7 out of 12 shots taken are made

7 shots made out of 12 taken, so this ratio is 7 to 12, and c is one of the correct options.

D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients

7 sick patients

7 + 12 = 19 total patients

So this ratio is 7 to 19

E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs

7 small dogs and 12 big dogs, so this ratio is 7 to 12, and e is the other correct option.

Answer:

AC = 6.7

Step-by-step explanation:

If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.

9^2 = 6^2 + b^2

81 = 36 + b^2

81-36 = b^2

45 = b^2

6.7 = b

so AC = 6.7

Answer:

regroup

Step-by-step explanation:

Answer:

We combine x ounces of 100% juice

with 40-x of 10% juice

to get 40 ounces of 55% juice

x + 0.1(40-x) = .55(40)

x + 4 - 0.1x = 22

0.9x + 4 = 22

.09x = 18

x = 20 ounces of 100% juice

40-x = 20 ounces of 10% juice

We combine 20 ounces of each.

Step-by-step explanation:

Answer:

your answer will be A.85°

Step-by-step explanation:

hope it helps you

have a great day!!!

Answer:

coefficient

Step-by-step explanation:

it has three terms

Answer:

C.)

Step-by-step explanation:

every other customer at all the convenience stores in Springville that stock both brand A and brand B

Answer: sound the alerm-

Step-by-step explanation: