Jasmine created a scale drawing of her room. She used a scale of 1 in:3 feet. The drawing is 8 inches long by 6 inches wide. What is the area of the room in square feet?

Answers

Answer 1

Answer:

The area of the room is 432 square feet

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The scale drawing of the room is 1 inch: 3 feet

→ That means each 1 inch in the drawing represents 3 feet in real

∵ The drawing is 8 inches long by 6 inches wide

∴ The drawing length of the room = 8 inches

∴ The drawing width of the room = 6 inches

→ By using the ratio method

→  inches  :  feet

→  1            :  3

→  8           :  L

→  6           :  W

→ By using the cross multiplication

∵ 1 × L = 8 × 3

∴ L = 24

The actual length of the room is 24 feet

∵ 1 × W = 6 × 3

∴ W = 18

The actual width of the room is 18 feet

Use the formula of the area of the rectangle to find the area of the room

∵ Area of rectangle = length × width

∴ Area of the room = 24 × 18

∴ Area of the room = 432 feet²

The area of the room is 432 square feet


Related Questions

The slope of the line that passes through (2.4) and (3,8)

Answers

Answer:

The slope is 4

Step-by-step explanation:

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( 8-4)/(3-2)

   = 4/1

   =4

If DF=61 and EF=18 find DE. ​

Answers

Answer:

43

Step-by-step explanation:

x + 18 = 61 (we're given the total length and one part, so it can be rewritten like this!)

x = 43

hope this helps!

The explanation is in the picture

If m ABC = 122°, and m
then m

Answers

Answer:

m < DBC = 51

Step-by-step explanation:

Looking at the picture, we know <ABD and <DBC make up <ABC. Knowing this, we can set up an equation like so, plug in the known values, and solve to find m<DBC:

[tex]m<ABC = m<ABD + m<DBC\\122 = 71 + m<DBC\\m<DBC = 122 - 71\\m<DBC = 51[/tex]

Which system of equations is graphed below?

Answers

Answer:

Step-by-step explanation:

the red line looks like it's  y = -3/4x +1

the blue line looks like it's y = x - 6

Maybe in the picture all the choices are not seen?  

Two 6-sided dice are rolled. What is the probability that the sum of the two numbers of the dice will be less than 6?

Answers

Answer:

I believe it would just be 5/6.

Step-by-step explanation:

In a six-sided dice, there are five numbers less than 6!

Step-by-step explanation:

sum of dice=1+2+3+4+5+6=21

sum of two sided dice=21(2)=42

sum of numbers less than 6=1+2+3+4+5=15

probability of two numbers less than 6=2/12=1/6

In psychological theory, there are 66 types of basic instincts in a human being, and personality is determined by the presence or absence (2(2 choices) of these 66 basic instincts. How many different types of personalities can be identified

Answers

Answer:

2145

Step-by-step explanation:

Given that:

Number of basic instincts present = 66

Number of choices = 2

Using combination :

nCr = n! / (n - r)! r!

66C2 = 66! / (66 - 2)!2!

66C2 = 66! / 64!2!

66C2 = (66 * 65) / 2

66C2 = 2145 different personalities

100 points!


Can someone help me? Here are the choices


- associative property of addition

- associative property of multiplication

- commutative property of addition

- commutative property of multiplication

- distributive property

Answers

The first one I think make sure

HELP WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

D

Step-by-step explanation:

For sure, it cannot be easily explained. Plus you need this answer now. CORRECT AND CHECKED!

100 POINTS PRE-CALCULUS

An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.


are the component forms for the air and wind vectors.


The ground speed, G, of the plane is given by

.

Answers

Answer:

not sure for the 1st one but pretty sure 2nd one is B

Step-by-step explanation:

The ground speed (G) is given as

[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex].

The correct potion is B.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.

It means the airplane is flying in the opposite direction of the wind.

The component of an airplane will be

[tex]\rm x = - 600\ sin 30\\\\x = - \dfrac{600}{2}= -300\\\\y = -600 \ cos30\\ \\y= -\dfrac{600 \sqrt{3}}{2}[/tex]

The component of wind will be

[tex]\rm x = 40 cos 60\\\\x = \dfrac{40}{2} = 20 \\\\y = 40sin 45\\ \\y= \dfrac{40\sqrt3}{2}[/tex]

Then the ground speed will be

[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex]

Then the correct potion is B.

More about the vector link is given below.

https://brainly.com/question/13188123

Please!!!!!! Answer These Plato Composites of Inverse Functions

Answers

Hope this helps bye bye thanks
What’s the question you need help on?

Use a pythagorean triple to the lengths of the hypotenuse of a right triangle if the legs have lengths of 20 units and 48 units

Answers

Answer:

52 units.

Step-by-step explanation:

Use the Triple 5-12-13

20 / 4 = 5

48/ 4 = 12

So  the hypotenuse = 4 * 13 = 52.

The lengths of Hypotenuse 52 units.

What is Pythagoras Theorem?

The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

Given:

The measurement of two sides are 20 units and 48 units.

Now, Using Pythagoras theorem

H² = P² + B²

H² = 20² + 48²

H² = 400 + 2304

H² = 2704

H = 52 units.

Hence, lengths of Hypotenuse 52 units.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ5

Mr. Kaffey used a full 3-liter bottle of soda to fill two containers. He put 0.276 liter of soda in the first container. He put 0.92
liter of soda in the second container. How many liters of soda remained in the bottle?

Answers

Answer:

1.804 L

Step-by-step explanation:

Solve the system of equations below

Answers

Answer:

The answer is B. (-7,-2)

Step-by-step explanation:

Multiply the first equation by 7,and multiply the second equation by -6.

7(−3x+6y=9)

−6(5x+7y=−49)

Becomes:

−21x+42y=63

−30x−42y=294

Add these equations to eliminate y:

−51x=357

Then solve−51x=357for x:

−51x=357 Divide both sides by -51

x=-7

Write down an original equation:

−3x+6y=9

Substitute−7forxin−3x+6y=9:

(−3)(−7)+6y=9

6y+21=9(Simplify both sides of the equation)

6y+21+−21=9+−21(Add -21 to both sides)

6y=−12

y=-2

Answer:

-7-2

Step-by-step explanation:

Adriana bought p packs of baseball cards. There are 4 cards in each pack. Write an expression that shows how many baseball cards Adrian a brought.​

Answers

9514 1404 393

Answer:

  4p

Step-by-step explanation:

Since there are 4 cards in each pack, the number of cards is 4 times the number of packs:

  4p . . . . number of cards Adriana bought

if you were to make a restaurant, and need 29 items, how much of each would you have?

Answers

Answer:

3 beverages, 5 appetizers, 8 entrees, and 4 desserts.

Step-by-step explanation:

I think you meant 20 items, so let's do that. To find 15% of 20, we multiply 20 by .15. This gets us 3. We repeat this with all the other numbers, using different decimals, of course. We get 3 beverages, 5 appetizers, 8 entrees, and 4 desserts. 3 + 5 + 8 + 4 is 20, so everything checks out.

Look at this graph

What is the slope?

I’ll mark as brainiest!!!

Worth 18pts!!

Answers

Answer:

m = 2

Step-by-step explanation:

Use two points on the graph to find the slope:

(40, 0) and (50, 20)

The slope is:

m = (y2 - y1)/(x2 - x1)m = (20- 0)/(50 - 40) = 20/10 = 2

Can someone please help!!

Answers

Answer:

AB = 3 and AC = 4

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{WX}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values

[tex]\frac{AB}{30}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )

30AB = 90 ( divide both sides by 30 )

AB = 3

and

[tex]\frac{AC}{XY}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values

[tex]\frac{AC}{40}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )

30AC = 120 ( divide both sides by 30 )

AC = 4

Answer:

AB = 3AC = 4

Step-by-step explanation:

Let AB = xLet AC = y

Given

ΔWXY ~ ΔBAC

Therefore, the triangles are similar, so corresponding sides would be in the same ratio, so

WY/ BC = XW/AB

substitute WY = 30, BC = 3, XW = 30, AB = x

30 / 3 = 30 / x

x = [30 × 3] / [30]

x = 90 / 30

x = 3

Thus,

AB = 3

now

WY/ BC = XY/AC

substitute WY = 30, BC = 3, XY = 40, AC = y

30 / 3 = 40 / y

y = [40 × 3] / [30]

y = 120 / 30

y = 4

Thus,

AC = 4

Therefore,

AB = 3AC = 4

I'm tripped up on this question... Can someone help?
A technician can test video player chips at the rate of -3t^2+16t+5 chips per hour
(for 0 ≤ t ≤ 6), where t is the number. of hours after 9:00am. How many chips can be. tested between 11:00am to 3:00pm? (Assume t=0 for 9:00am)
Show work

Answers

Answer:

68 Chips

Step-by-step explanation:

On the picture above, I was confused about t=0 and 9am which one I will put in , but I tried to help you to get the right answer.

Plz help!!! (Picture included)

Answers

Answer:

12.8

Step-by-step explanation:

First cube the 3 to get 27.

Then, multiply 2 by 12/5 to get 24/5.

Remove the parentheses and then add 27 with 6 to get 33.

Then divide -24 by 5 to get -4.8.

Add -4.8 with 33 to get 28.2.

Then subtract 15.4 from 28.2 to get 12.8

What is eight and two ninths subtracted by 2 and seven ninths

Answers

Answer:

5 4/9

Step-by-step explanation:

8 2/9 - 2 7/9

Converting the numbers from mixed Fraction :

(74/9 - 25/9)

L.C.M = 9

(74 - 25) / 9

= 49 / 9

= 5 4/9

The teather has 384 seats. Each row has 16 seats. The area model represents the situation. How many rows of seats are inside the theather?

Answers

Answer:

24 rows of seats

Step-by-step explanation:

384/16          Equation ( 384 in all, and 16 in each)

24                 Solve

Answers:
A.y=-6x-3
B.x y
0 -1
4 -4
8 -7
12 -10
C.y=-3x+4
D.x y
-2 1
2 7
6 13
10 19
Please help

Answers

Answer:

y=-3/4x-3

Step-by-step explanation:

pls help!! I need this answer asap! and I need to find the area in this so it would be great if one of you guys could help thank you!!!​

Answers

Answer:

63 m²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 9 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 9 = 7 × 9 = 63 m²

What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?

Answers

Answer:

Equation of line passing through   ( 2,2) in point slope form is y-2=3 (x-2)

Step-by-step explanation: hop this helps you

Answer:

y=2x-1 is the answer in y=mx+b form.

Select ALL figures that are similar to parallelogram P

Answers

Answer:

A & C

Step-by-step explanation:

A is similar to P

C is also similar because it has same size of diameters

Graph the functions on the same coordinate axis.
S f(x) = x + 1
1 g(x) = x² - 6x - 7
What are the solutions to the system of equations?
Select each correct answer.
(1, 2)
(6, 7)
(-1,0)
(-8, – 7)
(8,9)

Answers

Answer:

(-1,0) and (8,9)

Step-by-step explanation:

The solution will be obtained when f(x) = g(x)

Mathematically;

x + 1 = x^2-6x-7

x^2-6x-x-7-1 = 0

x^2-7x-8 = 0

x^2-8x + x -8 = 0

x(x-8) + 1(x-8) = 0

(x+1)(x-8) = 0

x = -1

x = 8

so let us get the f(x) and g(x) values

For x + 1

-1 + 1 = 0

8 + 1 = 9

Points are;

(-1,0) and (8,9)

A craft show has an admission fee of $1.50 for children and $4.00 for adults. On Saturday 155 people came to the carnival and $520 was collected. How many children came to the craft show?
Much Appreciated <3

Answers

X+y=155. Y= -x+155

1.50x +4(-x+155)= 520
1.50x-4x+620=520
-2.5x =-100
X= 40. Y=110

From his house, Tristan could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. It is 6 miles from Tristan's house to his parents' house and a straight-line distance of 6.4 miles from his parents' house to his grandparents' house. How far is Tristan from his grandparents' house? If necessary, round to the nearest tenth.

Answers

Answer:

[tex]TG = 2.2[/tex]

Step-by-step explanation:

Represent Tristan's house with T, his grandparent's with G and his parents with P.

Such that:

[tex]TP = 6[/tex]

[tex]GP = 6.4[/tex]

Required

Find TG

To solve this, we make use of Pythagoras Theorem which is represented as:

[tex]GP^2 = TP^2 + TG^2[/tex]

Substitute values for GP and TP

[tex]6.4^2 = 6^2 + TG^2[/tex]

[tex]40.96 = 36 + TG^2[/tex]

Collect Like Terms

[tex]TG^2 = 40.96 - 36[/tex]

[tex]TG^2 = 4.96[/tex]

[tex]TG = \sqrt{4.96[/tex]

[tex]TG = 2.2[/tex] --- Approximated

Hence, the distance between Tristan ans his grandparent's house is 2.2 miles

Tyler answered 152 questions correct on his multiple choice history final and earned a grade of 76%. How many total questions were on the final exam?

Answers

Answer:

200 questions

Step-by-step explanation:

152 questions correct and earned 76%

so, 152/x = 76/100

x= 152*100/76

x=200

Hope this helps plz hit the crown :D

Mr. Lester's maximum heart rate is 180 beats per minute. When he exercises at the gym.
Mr. Lester's target rate is 60% of his maximum heart rate

Answers

Answer: 108

Step-by-step explanation: 60% of 180 is 108

Answer:

Write 60% as a rate per 100. -- 60% = 60/100

Write 60/100 as a decimal. -- 60/100 = 0.6

What is Mr. Lester's target heart rate? -- 0.6 (180) = 108 beats per minute

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