If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10

ft, what are the dimensions of the room?

Answers

Answer 1

After find the area of one side, we proceeded to find the length and with as

Length = 10.95 feet width = 10.95 feet

Mensuration of Shapes

Given Data

Height of the Room = 10 feetArea of 4 sides of the room = 480 ft^2

If the area of 4 side = 480 ft^2

Area of 1 side will be = x

Cross multiply we have

x = 480/4

x = 120 ft^2

Let us find the length and width of the room

x = √120

x = 10.95 feet

hence Length = 10.95 feet

width = 10.95 feet

Height = 10 feet

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Related Questions

When an article is sold at 6% profit and 9% profit then the difference in sp is Rs 9 find CP and both SP of the article​.

Answers

Step-by-step explanation:

the present price of a motorcycle is Rs 2,25,000.if it's price is depreciated per year by 8% after how many years will the price of the motorcycle be rs 1,75,204.80?

please help ! ASAP step by step explanation please ​

Answers

Answer:

0

Step-by-step explanation:

→ First find inverse cosine 1/2

60°

→ Now multiply this answer by 3 because then if you substitute it in you get 0.5

∝ = 180°

→ Now find sine of 180°

0

hey, can you answer this for me?
9-3x=54?

Answers

Answer:

[tex] \Large{\boxed{\sf x = -15}} [/tex]

[tex] \\ [/tex]

Explanation:

Given equation:

[tex] \sf 9 - 3x = 54 [/tex]

[tex] \\ [/tex]

Subtract 9 from both sides:

[tex] \sf 9 - 3x - 9 = 54 - 9 \\ \\ \sf -3x = 45 [/tex]

[tex] \\ [/tex]

Divide each side by -3 :

[tex] \sf \dfrac{-3x}{-3} = \dfrac{45}{-3} \\ \\ \\ \boxed{\boxed{\sf x = -15}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about equations here:

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what is the answer to this expression -2 x (10 + (-5) )

Answers

Answer: The answer to this expression is -10x

Step-by-step explanation:

We distribute -2x t the equation inside of the parenthaseis

[tex]-2 x (10 + (-5))[/tex]

[tex]-2x*10=-20x[/tex]

[tex]-2x*-5=10x[/tex]

[tex]-20x +10x=-10x[/tex]

1 . what’s -3 p + 6 p = ?


Hurry please!!!

Answers

Answer: 3p

Step-by-step explanation: The reason is because -3 + 6 = 3, therefore -3p + 6p = 3p. I hope this helped! If I did anything wrong then please let me know! :)

given:

[tex] - 3p + 6p[/tex]

solution:

first you'll have to combine light terms, both are light terms so,

[tex] - 3p + 6p[/tex]

[tex] =3p[/tex]

IMAGE BELOW I WILL GIVE BRAINLIEST

Answers

Answer: C: -4, -6 B:-14, -6 A:-14, -18

Step-by-step explanation: Multiply all of your points by 2

Charlie had $938 he wants to buy gifts for his 15 family members he wants to spend the same amount of money (in dollars) for each person with the remaining money he buys a pen worth $3 how much money will he have left over after his purchases

Answers

Answer: $5

Step-by-step explanation:

938-3 = 935

935/ 15 = $62 on each person with a balance of $5

A can of diced tomatoes has a height of 11.5 cm and a diameter of 10 cm.
What is the volume of the can? Use 3.14 for i.
DO NOT round your answer.
A cubic cm

Answers

Answer:

10 cm

Step-by-step explanation:

the can is shaped like a cylinder

first step is to find the radius and then multiply the figure by 2

volume of a cylinder = nr^2h

n = 22/7

r = radius

903 = 11.5 x r^2 x 3.14

r^2 = 903 / (3.14 x 11.5)

r = 5 cm

diameter = 10cm

x= -5y + 36
5x + 5y = 0

The substitution method. Also please help me I’m so confused

Answers

Answer:

x = -9
y = 9

Step-by-step explanation:

If we know that x  =  -5y + 36
The second line says that
5x + 5y = 0
We can substiute the value of x from the first line into the second line.

So it becomes
5 ( -5y+36) + 5y = 0
Distribute the 5 over the parentheses
-25y + 180 +5y = 0
Then we can add things that are alike; so that means we can add the y values
-20y + 180 = 0
Then add 20y to both sides of the equation
180 = 20y
Then you divide by 20.
You get 9 = y!
Now that you have the value of y, you can put it back into the intial question.
5x+5y = 0
5x + 5(9) = 0
5x + 45 = 0
5x = -45
x = -9

Answer:

x=-9 y=9

Step-by-step explanation:

Substitute x:

5(-5y+36)+5y=0

Use Distributive property

-25y+180+5y=0

Add Like terms

-20y+180=0

Subtract 180 from both sides

-20y=-180

divide -20 from both sides

y=9

Solve for x by substituting the value of y into the equation x= -5y + 36

to get x=-9

A grocery store sells long grain rice for 2.49 per pound. Write an expression for the cost of y pounds of long grain rice.

I dont want to waste time thinking about it

Answers

Answer:

Step-by-step explanation:

Cost = 2.49 * y

You really should spend the time. Math is used everywhere.

what is w + 4 1/4 = 13 19/20

Answers

Answer:

w = 9 7/10

Step-by-step explanation:

w + 4 1/4 = 13 19/20

Subtract 4 1/4 from each side

w = 13 19/20 - 4 1/4

Get a common denominator of 20

w = 13 19/ 20  - 4 1/4*5/5

w = 13 19/ 20  - 4 5/20

w = 9 14/20

We can simplify

w = 9 7/10

Rewrite the fractions to have the same denominator:

1/4 can be rewritten as 5/20


now you have w + 4 5/20 = 13 19/20

Solve for w by subtracting 4 5/20 from both sides:

W = 9 14/20 which can be rewritten as 9 7/10


answer: 9 7/10

In a 30 - 60 - 90° triangle x= 7.5 feet
What is the length of the hypotenuse?

Answers

Answer: 15ft or 7(2)

Step-by-step explanation:

The opposite side or the side standing up is the "x" side the hypotenuse is double the size of the opposite in a 30-60-90.

if your catering people and its $80 for 6-8 people how much would it be to cater 128 people

Answers

Well if it’s 8 people that means that it’s 10 dollars per person which would make the total for 128 people $1280. But if it was 6 people it would be about 13 dollars per person. Which would make the total $1,664

Answer:

Your answer(s) is $1,706.67, $1,462.86, or $1,280

Step-by-step explanation:

This really varies based on whether you take $80 as equal to 6 people, 7 people, or 8 people.

I'll list all three explanations and you can choose one.

6 people: 1,706.67 (rounded to nearest cent)

128 ÷ 6 = 21.33333333

21.33333333 × 80 = 1,706.67

7 people: 1,462.86 (rounded to nearest cent)

128 ÷ 7 = 18.28571428571429

18.28571428571429 × 80 = 1,462.86

8 people:

128 ÷ 8 = 16

16 × 80 = 1,280

help me please need help missing lengths​

Answers

Step-by-step explanation:

please mark me brilliant

Step-by-step explanation:

5. θ = 60°

→ To find the value of y ,

Cos θ = b/h

putting the values in terms of cos

Cos 60° = y/16

1/2 = y/16

16/2 = y

y = 8 unit

→ To find the value of x ,

Sinθ = P/h

putting the values in terms of sin

Sin60° = x/16

√3/2 = x/16

16×√3/2 = x

16×1.73/2 13.84 unit

6. θ = 30°

→ To find the value of y

tanθ = p/b

putting the values in terms of tan

tan 30° = 2/y

1/√3 = 2/y

2×√3 = y

3.46 unit = y

→ To find the value of x

Sin θ = p/h

putting the values in terms of sin

Sin 30° = 2/x

1/2 = 2/x

4 unit = x

Last year at a certain high school, there were 84 boys on the honor roll and 50 girls
on the honor roll. This year, the number of boys on the honor roll decreased by 25%
and the number of girls on the honor roll decreased by 16%. By what percentage did
the total number of students on the honor roll decrease? Round your answer to the
nearest tenth (if necessary).

Answers

Answer:

Step-by-step explanation:

Boys Girls

84 50

%decrease %decrease

-25% -16%

84=100% 50=100%

75% 84%

75/100×84 84/100×50

=63 =42

84+50=134

63+42=105

134-105=29

134=100%

29

29/134×100

21.6%

What is the area of this composite figure?
I WILL GIVE BRAINLIEST

A figure is comprised of 2 rectangles. The first rectangle has a length of 10.5 centimeters and width of 15.5 centimeters. The second rectangle has a length of 18 centimeters and width of 11.5 centimeters.

135 centimeters squared

207 centimeters squared

249 centimeters squared

279 centimeters squared

Answers

Answer:

249 centimeters squared

Step-by-step Explanation:

The area of the rectangle: l x w, where l is the length and w is the width.

= 15.5 x 18

= 279

Area of the smaller rectangle: l x w, where l is the length and w is the width.

= 4 x 7.5

= 30

We do not need this 30.

Area of the shaded region:

= 279 - 30

= 249 cm²

Write an equation for a line that passes through (1,-4) and (3,-5)

Answers

Answer:

y = -3/4x - 1/2

Step-by-step explanation:

Given:

Point 1: (1, -4)

Point 2: (3, -5)

Find:

The equation for the line that passes through Point 1 & Point 2

Solution:

y = mx + b

Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept

m = ( y2 - y1 ) / ( x2 - x1 ) = ( -5 - (-4) ) / ( 3 - 1 ) = -1 / 2

∴ m = - 1/2

Using either P1 or P2, plug in one of their respective x- and y-values into:

y = -1/2 x + b

I'll do (3, -5):

-5 = -1/2 ( 3 ) + b

-2 = -3/2 + b

-4 = -3 + 2b

-1 = 2b

∴ b = -1/2

y = -3/4x - 1/2 is the equation of the line that passes thru both points (-5, 4) and (3, -2)

Emily walks every day, and she keeps a record of the number of miles she walks each day. The histogram and five-number summary below were created from the recorded miles for a random sample of 25 of the days Emily walked.

Answers

Given the method given to calculate an outlier, the method does not identify 7.5 miles as an outlier.

Is 7.5 miles an outlier?

An outlier is either very much larger or smaller than the rest of the data in the dataset.  In this dataset: 1, 2, 1000. 1000 is an outlier.

Outlier = 1.5 x interquartile range

Interquartile range = q3 - q1

1.5 x (3.8 - 2.6) = 1.8

To learn more about outliers, please check: https://brainly.com/question/27197311

f I read 245 pages of The Lightning Thief, what percent of the book have I read? (There are 377 pages total, Round to the nearest percent

Answers

Answer:

65%

Step-by-step explanation:

set a porportion

245 =x

377  100

245x100= 24500/377  = 64.9 rounded = 65%

please help me with this

Answers

Answer:

94 Wins

Step-by-step explanation:

Here we need to find the mean, to do this we add up all the values then divide the sum by how many values we started out with.

97 + 103 + 92 + 95 + 84 = 471

471 / 5 = 94.2

since we got a decimal we can round to find an exact number; since the decimal is under .5 we will round down, 94

So 94 wins would be the correct answer. Hope this helped!

Is the question below a statistical question?
What is the difference in rainfall between this year and last
year?

Answers

Answer:

No because there can only be one answer.

Step-by-step explanation:

Statistical questions have to have more than one answer in order for it to be statistical.

Factorise 3(3x-y)-(y-3x)

Answers

Answer:

4(3x-y)

Step-by-step explanation:

Given:

[tex]\displaystyle \large{3(3x-y)-(y-3x)}[/tex]

To factor this kind of expression, first, find the common factor.

[tex]\displaystyle \large{3(3x-y)-(-3x+y)}\\\displaystyle \large{3(3x-y)+(3x-y)}[/tex]

Notice that in the expression, we have both same (3x-y). Therefore, (3x-y) is our factor.

Let u = 3x-y

[tex]\displaystyle \large{3u+u}\\\displaystyle \large{4u}[/tex]

Change u back to 3x-y:

[tex]\displaystyle \large{4(3x-y)}[/tex]

Therefore, the factored expression is 4(3x-y).

The probability of getting a soda at the movie theater is 70%. What is the probability that the next three guests in the movie theater will get a soda

Answers

The probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of getting a soda at the movie theater is 70%.

[tex]P=70\%\\P=\dfrac{70}{100}\\P=0.7[/tex]

By the chain rule, the probability of getting the soda to the next 3 guest is equal to the cube of the probability of getting a soda at the movie theater.

Thus, the probability that the next three guests in the movie theater will get a soda is,

[tex]P^3=0.7^3\\P^3=0.343[/tex]

Thus,the probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.

Learn more about the probability here;

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#SPJ1

The area of a rectangle is 56 cm, Tho longth is 2 cm more than x and the width is 5 cm less than
twico x. Solve for x. Round to the nearest whole number,

Answers

Answer:

9

Step-by-step explanation:

Since Area = L × W

Thus,

Area = (x + 2)(2x - 5) = 56

x^2 +4x - 5x - 10 = 56

x^2 - x - 10 = 56

x^2 - x - 66

Using the quadratic formula:

a = 1

b = - 1

c = - 66

Solving:

[tex]\frac{x = (-b) +/- sqrt(b^2 - 4ac)}{2a}[/tex]

[tex]\frac{x = 1 + /- sqrt(1^2 - 4(1)(-66)}{2(1)}[/tex]

[tex]\frac{1 +/- sqrt (265)}{2}[/tex]

17.279/2

8.639

Round = 9

~Lenvy~

I need help pls!!! I would appreciate it

Answers

Answer:

(-1,-4) ---> 77

Step-by-step explanation:

A square room has measures of length and height am and bm respectively. write the formula to calculate the area of its four walls​

Answers

Answer:

area of the four walls

= a^2 x 4


Directions: Find the error.
Hugo says that if you interchange any coordinate
in quadrant IV, the new coordinates would still be
in quadrant IV. His friend Melanie disagrees. Who is
correct? Give two examples and explain.

Answers

Melanie is correct. (5,-7) if you interchange it becomes (-7,5) which will be in Quadrant I. (9,-2) becomes (-2,9) same logic.

How many inches of snow fell each hour? (8th Math)

Answers

Answer:

2 inches

Step-by-step explanation:

If 10 inches of snow fell each hour, then you divide that by five hours to get your average, which then equals 2.  So your answer is 2 inches per hour.

I hope this answered your question and helped you :)

Answer:

Looking at the graph it looks like 5 inches in 2 1/2 hours

Hope this helps :)

if x = 1/4 and Y = 3/7 evaluate the following expression 7x-4y ​

Answers

If x = 1/4 and Y = 3/7

Evaluate the following expression: 7x - 4y

[tex] \\ [/tex]

[tex] \rm{7 ( \frac{1}{4}) - 4( \frac{3}{7} ) } \\ [/tex]

Substitute the given value of x and y

[tex] \rm { \orange{7 \times \frac{1}{4} }} - 4 \times \frac{3}{7} \\ [/tex]

Calculate the product of the rational numbers

[tex] \rm{ \frac{7}{4} - \orange{ 4 \times \frac{3}{7 }} } \\ [/tex]

Calculate the product of the rational numbers

[tex] \rm \orange{ \frac{7}{4} - \frac{12}{7} } \\ [/tex]

Find the difference between the two fractions

[tex] = \small{\boxed{{\sf{ \frac{1}{28} }}}}[/tex]

Therefore, the answer is 1/28.

Answer:

Step-by-step explanation:

[tex]\text{Substitute the values of x and y in the expression}[/tex]

[tex]7x - 4y = 7*\dfrac{1}{4}-4*\dfrac{3}{7}[/tex]

            [tex]\sf =\dfrac{7}{4}-\dfrac{12}{7}\\\\ [LCM \ of 4 \ and \ 7 = 28]\\\\ =\dfrac{7*7}{4*7}-\dfrac{12*4}{7*4}\\\\=\dfrac{49}{28}-\dfrac{48}{28}\\\\=\dfrac{1}{28}[/tex]

Russell wants to ride 2 miles on his bike. each lap around his block is 1/10 mile. which model show how many laps he should ride?

Answers

Answer:

20 miles

Step-by-step explanation:

each lap is 1/10 mile, then we have to do 2x10 =20

pls mark as brainliest hope this helps

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