you are going to wash a large glass window in a shape of a trapezoid. The lenghts of the bases of the window are 10 feet and 14 feet. the height is 8 feet. you can wash 6 square feet of the window in 1 minute. how long will it take you to wash the entire window

Answers

Answer 1

Answer:

16 minutes

Step-by-step explanation:

First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )

So first lets find the area.

We are told that the window is in a shape of a trapezoid.

The area of a trapezoid can be calculated using the formula A = [tex]\frac{a+b}{2} h[/tex]

Where a and b are the base lengths and h is the height

We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .

We then plug these numbers into the formula to find the area

Recall formula: [tex]A=\frac{a+b}{2} h[/tex]

a = 10 , b = 14 and h = 8

plug in these values into formula

[tex]A=\frac{10+14}{2} 8[/tex]

add 10 and 14 to get 24

[tex]A=\frac{24}{2} 8[/tex]

simplify fraction : 24 / 2 = 12

[tex]A=(12)(8)[/tex]

multiply 12 and 8 to get 96.

A = 96 square feet.

To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute

Total area of window = 96

Area that can be washed per minute = 6

Time it would take to wash the whole window = 96 / 6 = 16 minutes


Related Questions

8. What is the linear term in the quotient of 8x" - 6x + 9x - 5x + 12 divided by 2x + 3x + 5?

Answers

Answer:

Step-by-step explanation:

Please help y=30x - 30x^2 - 72

Answers

Answer:

  a.  4, 6

  b.  -72

  c.  (5, 3)

  d.  Graph A

Step-by-step explanation:

a.

To answer these questions, it is useful to start by factoring the equation.

  y = -3x² +30x -72 . . . . given

  y = -3(x² -10x +24) . . . . factor out leading coefficient

  y = -3(x -4)(x -6)

The x-intercepts are the values of x that make the factors zero:

  x = 4, 6

__

b.

The y-intercept is the constant in the equation: -72.

__

c.

We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.

  y = -3(5 -4)(5 -6) = -3(1)(-1) = 3

The vertex is (5, 3).

__

d.

The graph that has the correct vertex and x-intercepts is Graph A.

An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00​

Answers

The markup percentage specifies the amount by which the selling price is

raised above the cost price.

The correct option for the selling price is B. p 1,070.00

Reasons:

The original cost of the album = p900

The mark up percentage = 30%

Required:

The selling price

Solution:

The percentage mark up is given by the difference between the price at

which an item is for sale and its cost expressed as a percentage.

[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]

Therefore, we have;

[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]

[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]

900 × 0.3 = Selling price - 900

270 = Selling price - 900

Selling price = 900 + 270 = 1,070

The selling price is B. p 1,070.00

Learn more about percentage markup here:

https://brainly.com/question/16959984

ABCD is a parallelogram. What is the measure of ∠ACD?

Answers

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

0.69 is an integer true or false

Help I have no idea what to do

Answers

Answer:

false

Step-by-step explanation:

An integer is a whole number and 0.69 is not a whole number.

HELP!!!
list the sides of ABC in order from shortest to longest!

Answers

the answer is d, ive had this question before and thats what i put

-19x-17 = -93
Also when you solve it has to be with the addition property of equality

Answers

Answer:

Addition property of equality formula

Lesson Summary

We learned that the addition property of equality tells us that if we add the same quantity to both sides of an equation, then our equation remains the same. The formula is if a = b, then a + c = b + c.

Step-by-step explanation:

which is a line of symmetry

Answers

Answer:

is there a pic?

Step-by-step explanation:

we are able to see

How much more did Taste of New York make from pepperoni pizzas than Pizzeria Italiano?

Answers

Step-by-step explanation:

422 - 115

= 307

The taste of new York made $307 more than pizzeria italiano

What is the domain and range?

Answers

Answer:

Domain: {-6, -2, -1, 1, 3, 6}

Range: {-6, -2, -1, 0, 3}

Step-by-step explanation:

to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.

for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}

to find the range of a function, it's just like domain but with y-values.

for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}

my Christmas present to you​

Answers

Answer:

k wat is it

Step-by-step explanation:

Q.21 Tom borrowed a sum of Rs. 1200 at 12% per annum for 3years. Find the interest and amount to be paid by Tom after stipulated time. ​

Answers

The interest and amount to be paid by Tom after stipulated time is 432; 1632.

Principal=Rs1200

Rate=12%

Time=3year

Interest:

Interest=  Principal ×Rate ×Time/100

Interest=  1200×12×3/100

Interest​=Rs432

Amount:

Amount=1200+432

Amount=1632

Inconclusion the interest and amount to be paid by Tom after stipulated time is 432; 1632.

Learn more about interest here:https://brainly.com/question/25545513

What is Decrease 20g by 10% please?

Answers

Answer:

18

Step-by-step explanation:

given that 4 : 6 = 3 : (m+2), find m.

Answers

Answer:

Step-by-step explanation:

there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?​

Answers

Answer:

13 in12

Step-by-step explanation:

Mapping diagram: Is it a function? (yes /
no
) Why or why not?

Answers

It is a function

Why? Because each input maps to exactly one output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.

Find the equation of a line whose graph passes through the two points (2,-3) and (4,-8).

Answers

Answer:

y=-5/2x+2

y+3= -5/2. (x-2)

Step-by-step explanation:

Answer:

y=-5/2x+2

Step-by-step explanation:

y=mx+b, where m is slope, b is y-int and y and x are variables.

Step 1: plot your points

Step 2: draw a line thru them

Step 3: find the slope. -5/2. And your y-int. +2

Hope that helps! Brainliest is appreciated :)

Question 1 (1 point)
What property is shown?
-d + (-e +(-f)) = (-d + (-e)) + (-f)
A:opposite of a sum
B:distributive
C:commutative
D:associative

Answers

D probably


brainly!!

whats the rate of change

Answers

The line needs to start at the 0 it can’t be off the 0

Factors of 2x^2-13x+21

Answers

Answer:

(2x-7)(x-3)

Step-by-step explanation:

Eight squared plus B squared equals 14 squared

Answers

[tex]8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}[/tex]

Dwight sits near a bowl of candies in his office. He observed how many candies each person took in a sample of 444 visits. Here is how many candies each person took: 1, 2, 1, 41,2,1,41, comma, 2, comma, 1, comma, 4 Dwight found the mean was \bar x=2 x ˉ =2x, with, \bar, on top, equals, 2 candies. He thinks the standard deviation is s_x =\sqrt{\dfrac{(1-2)^2+(2-2)^2+(1-2)^2+(4-2)^2}{3}}s x ​ = 3 (1−2) 2 +(2−2) 2 +(1−2) 2 +(4−2) 2 ​ ​ s, start subscript, x, end subscript, equals, square root of, start fraction, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 2, minus, 2, right parenthesis, squared, plus, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 4, minus, 2, right parenthesis, squared, divided by, 3, end fraction, end square root What is the error in Dwight's standard deviation calculation? Choose 1 answer: Choose 1 answer: (Choice A) A The order of subtraction is incorrect in each of the deviations. (Choice B) B He is missing a deviation in the numerator. (Choice C) C He should only take the square root of the numerator. (Choice D) D He shouldn't square each deviation in the numerator. (Choice E) E There is no error; his calculation is correct.

Answers

Answer: B

Step-by-step explanation:

3
Write 3
as an improper fraction.
4

Answers

Answer:

I'm sorry, but this isn't clear. Maybe remake the layout you wrote? Because 3 3 4 doesn't make sense.

[tex]\huge\boxed{Hi\: there!}[/tex]

3 as an improper fraction: 3/1.

Remember, an improper fraction is a fraction where the numerator is larger than the denominator.

[tex]\huge\boxed{Therefore, \: 3 \: as \: an \: improper\: fraction\: is: \frac{3}{1} }[/tex][tex]\huge\bold{Good \: luck\: with \: your\: studies! :)}\\\huge\bold{Answered \:by: \: An\: Unknown \: Dreamer}[/tex]

give answer to 1 d.p

Answers

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

Find P(Y|B) from the information in the table. A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 8, 6, 23, 37. The third column is labeled Y with entries 80, 34, 56, 170. The fourth column is labeled Z with entries 40, 45, 32, 117. The fifth column is labeled Total with entries 128, 85, 111, 324. To the nearest tenth, what is the value of P(Y|B)? 0. 2 0. 3 0. 4 0. 5.

Answers

Answer:

0.4 is the answer

Step-by-step explanation:

Answer:graph A

Step-by-step explanation:

because I clicked the wrong one ‍♀️

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL


A 20 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
25:1
2:1
3:1
4:1

Answers

Answer:

4:1

Step-by-step explanation:

Answer:

edge of cube = 20 cm

volume of cube = 20x20x20

volume of each small cube = 5x5x5

number of cubes

= (20x20x20)/(5x5x5)

=64

Step-by-step explanation:

I believe that is the answer im sorry in advanced if its not.

c. The height h of a diver over the water is modeled by the equation h = 5t^2 + 8t + 3 where h denotes the height of the diver over the water (in meters) and t is time measured in seconds. Rewrite this equation, finding t in terms of h.

Answers

Answer:

steps below

Step-by-step explanation:

h = 5t² + 8t + 3

5t² + 8t + (3-h) = 0

** ax²+bx+c=0       x= (-b±√b²-4ac)/2a

[tex]t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}[/tex]   ..... h≥3 to make t≥0

(2x+1)(3x+1)=35 using quandratic equation solve​

Answers

Answer:

  x = {-2 5/6, +2}

Step-by-step explanation:

To use the quadratic formula, it is helpful to write the equation in standard form.

  (2x +1)(3x +1) = 35

  6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34

The quadratic formula tells you the values of x are ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]

Annie is planning a business meeting for her company she a budget of $1,325 for meeting room at a hotel she expects 26 people to attend the meet cost of rental meet room $270 which is inequality shows to find the amount x Annie can spend on lunch for each person

Answers

Answer:

[tex]1,325\geq 26x+270[/tex]

Step-by-step explanation:

which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)

Answers

Answer:

sin ( 180* + x ) = - x

Step-by-step explanation:

This is the correct answer

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