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dexar [7]
3 years ago
14

The drawing plan for an art studio shows a rectangle that is 15.2 inches by 8 inches. The scale in the plan is 4 in.: 5 ft. Find

the length and width of the actual studio. Then find the area of the actual studio. The length is feet, the width is feet, and the area is square feet.
Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

Length: 19 feet

Width: 10 feet

Area: 190 feetx^{2}

Step-by-step explanation:

This is a question about ratio.

Length: let x be the actual length.

15.2 : x = 4 : 60

x = 19

Width: let y be the actual width.

8 : y = 4 : 60

y = 10

Area: A = xy

19 * 10 = 190

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Under a dilation, the point (2, 6) is moved to (6, 18).
Sergio039 [100]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
The base of a triangle is 8 1 3 meters and the height of the triangle is the fourth root of 16 meters meters. What is the area o
just olya [345]

Answer:

The area of triangle is 8 \frac{1}{3}\ m^{2}

Step-by-step explanation:

we know that

The area of a triangle is equal to

A=(1/2)bh

we have

b=8 1/3 m

convert to an improper fraction

8 1/3 m=(8*3+1)/3=25/3 m

The fourth root of 16 is equal to 2

\sqrt[4]{16}=(2^{4})^{1/4}=2

so

h=2 m

substitute

A=(1/2)(25/3)2=25/3\ m^{2}

convert to mixed number

25/3=(24/3)+(1/3)=8+1/3=8 \frac{1}{3}\ m^{2}

5 0
3 years ago
Will is twice as old as Jill. Three years ago, Jill's age was two fifths of Will's age then. How old is each now?
dimulka [17.4K]
"Will is twice as old as Jill."

                       Jill's age . . . . .   J
                       Will's age . . . . 2J .

"Three years ago . . .

                       Jill's age then . . . . .   J - 3
                       Will's age then . . . . 2J - 3

". . . Jill's age then was 2/5 of Will's age then."

                                         J - 3  =  (2/5) (2J - 3)
Multiply
each side by  5 :          5J - 15  =  2 (2J - 3)

Divide
each side by  2 :          2.5 J - 7.5  =  2J - 3 

Subtract  2J
from each side:            0.5 J - 7.5  =      -3

Add  7.5
to each side:                0.5 J           =     4.5

Multiply
each side by  2 :                J            =       9

Jill is  9  y.o. now.
Will is 18 y.o. now.

4 0
3 years ago
osiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equati
sammy [17]

The standard compound interest formula is

Future value after x years with an annual interest of i

=Present Value (1+i)^x [which is an exponential function]

for given present value of $360. interest=0.03 (3%) and a total of x years, above equation reduces to

Future value after x years

=360(1.03^x)


4 0
3 years ago
Brandon picked 14 of a pound of cherries. That afternoon, Brandon's brother ate 12 of the cherries. How many pounds of cherries
stellarik [79]

Answer:

2

Step-by-step explanation:

Brandon picked 14 pounds of cherries but later in the afternoon Brandon's brother ate 12 so you would subtracts

14-12 = 2

8 0
3 years ago
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