Herbert has three lawn-mowing jobs. One lawn is shaped like a trapezoid,

one like a triangle, and one like a rectangle. The trapezoidal lawn has bases that are 90 feet and 126 feet and a height of 75 feet. The triangular lawn has a height of 80 feet and a base of 105 feet. The rectangular lawn has a length of 120 feet and width of 90 feet. If Herbert can cut a 160 ft × 70 ft lawn in 2 hours, how long will it take him to mow all three lawns?

Answers

Answer 1

Answer:

4.125 hours

Step-by-step explanation:

Trapezoid shaped lawn :

Bases : 90 ; 126 ; height = 90

Area of trapezium = 1/2(a+b) h ; a and B are the bases and h = height

Area of trapezium = 1/2(90 + 126) * 75

Area = 108 * 90 = 8100 feets

Triangular lawn :

Height = 80 feets ; Base = 105 feets

Area of triangle = 1/2 base * height

Area = 1/2 * 80 * 105 = 4200 feets

Rectangular lawn :

Length = 120 feets ; width = 90 feets

Area of rectangle = Length * width

Area = 120 * 90 = 10800 feet²

Area of all 3 lawns = (8100 + 4200 + 10800) = 23100

In 2 hours ; Herbert can now (160 * 70) = 11200 feets

23100 / 11200 = 2.0625

Tine required to mow all three lawns :

2 hours * 2.0625 = 4.125 hours

= 4 hours, 7 minutes, 30 seconds


Related Questions

Why is the length of the base of the rectangle the same as the circumference of the circles in the net of a cylinder?

Answers

Answer:

The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).

Step-by-step explanation:

Gail works for a vending company. she gets paid $64 per week plus 20% of her total sales. how much will her total sales for the week have to be in order for girl to make at least $200

Answers

Answer:

680 sales

Step-by-step explanation:

20% of 680 is 136.

So her 64 for a week plus the 136 from sales is 200.

Hope this helps

Brainliest would be appreciated

Find the volume of the cylinder. Round to the nearest tenth
5 ft
2 ft

Answers

Given:

Radius of the cylinder = 2 ft

Height of the cylinder = 5 ft

To find:

The volume of the cylinder.

Solution:

Volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]\pi = 3.14,r=2,h=5[/tex] in the above formula we get the volume of the given cylinder is:

[tex]V=(3.14)(2)^2(5)[/tex]

[tex]V=(3.14)(4)(5)[/tex]

[tex]V=62.8[/tex]

Therefore, the volume of the given cylinder is 62.8 ft².

Amy walks to school everyday. It is 800 meters from her house to the front door. It takes her 240 seconds to walk to school. What is her average speed?

Answers

Average speed= total distance travel/ total elapsed time. Then, 800/ 240 = 3.33

Find the surface area of the composite figure.
SA = [ ? ] cm^2

Answers

…..lol sorry don’t know

which value is not equivalent to the other's​

Answers

Answer:

The one that is not equivalent to the others is:

2 + 2 + 2 + 2 + 2

Step-by-step explanation:

this is because all of the other ones are equal to 32. This one equals to 10.

What two consecutive numbers make 81

Answers

Answer:

40 and 41.

Step-by-step explanation:

81/2 = 40.5, thus 40 and 41

Solve the linear inequality below.
9x – 8 > 4x + 7

Answers

Answer:

Step-by-step explanation:

9x-4>4x+7

-4x

5x-4>7

+4

5x>11/5

x>2.2

Answer:

9x-4x>7+8

5x > 15

X >3

So the answer is x >3

Is 2.164213562 Rational or Irrational

Answers

The number you said is rational but im not that sure

8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.​

Answers

Answer:

$2539.47

10.18722679 (make sure you round this)

Step-by-step explanation:

a.)

Equation for compound interest:

[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]

which rounds to

2539.47

b.)

using the same equation we can write

[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]

not sure how to round this, so I'll leave that part up to you

1. Tra is going to order a pizza from a local pizza parlor. She will choose 1 crust, 1 sauce, 1 topping and 1
cheese for her pizza. She can choose from 4 types of crust, 4 types of sauce, 12 different toppings and 6
different cheeses to make her pizza. If Ira wants either tomato sauce or garlic sauce on her pizza, how many
different pizza's can Ira make?

Answers

Answer:

ira can make 4 pizzas

Step-by-step explanation:

1.99 divided by 3 to the nearest cent.

Answers

Answer:

nearest tenth?

Step-by-step explanation:

your answer would be .663

Simplify to the tenth would be  make it .7

What was the estimated population population of Rhode Island in 1760?

Answers

Answer:

D. 45,000

Hope this helps :)

does anybbody know the answer to this? #help

Answers

Answer:

each tube costs $1.5 so put it the point in between 1 and 2

thank you

Step-by-step explanation:

Help me find the numbers for the function table

Answers

Answer:

0,4,7

Step-by-step explanation:

you take the input number like 8 subtract it by 4 to get the output

Answer:

'x-4' are 4-4;  8-4;  11-4

Outputs are 0, 4, 7

Step-by-step explanation:

'x - 4' for:

4 = 4-4 = 0

8 = 8-4 = 4

11 = 11-4 = 7

∴ Outputs are 0, 4, 7

I WILL MARK YOU AS BRAINLIEST IF YOU CAN ANSWER :)

Answers

Answer:

6 inches fell an hour

6x30 =180 so One hundred eighty inches in 30 mins

Step-by-step explanation:

Answer:

0.5 in per hour

16.2 in 30 hours

Step-by-step explanation:

If you want to find the amount of rain that falls in one hour, divide 13 by 24

13/24=  0.541 inches per hour

Then multiply this by 30

0.541 x 30 = 16.23

Since they want you to round to the nearest tenth, your answers would be:

0.5 in per hour

16.2 in 30 hours

Explain pleaseeeeeeeeeeeee

Answers

Answer:

81°

Step-by-step explanation:

all triangles = 180°

is 1/4 equivalent to 1/8? use the number lines below and the drop-down menus to explain your answer

Answers

Answer:

NO

Step-by-step explanation:

The left side  0.25  does not equal to the right side  0.125  , which means that the given statement is false.

Answer:

no because is you change 1/4 to have a common denominator of 8 it will be 2/8 which doesn't equal 1/8

hope this helps

have a good day :)

Step-by-step explanation:

Which linear equation is written in slope-intercept form?

Question 12 options:

6y = –2x + 12


–2x = y + 5


3x – 4y = 9


y = –3x +1

Answers

Answer:

It’s the 3rd one

Step-by-step explanation: it’s the 3rd one

Which equations represent exponential growth?

Which equations represent exponential decay?



Drag the choices into the boxes to complete the table.

Exponential Growth Exponential Decay

Answers

Answer:

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Step-by-step explanation:

The key to differentiate between decay and growth is the term inside the bracket

For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1

Looking at the given equations, we have;

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Answer:

* For future readers *

I just took the test :)

CAN SOMEBODY PLEASE HELP ME WITH THIS?

Answers

1. Answer= 41
2. Answer= 285
3. Answer= 7

Help I don’t know what to do

Answers

Answer:

20 mm (C)

Step-by-step explanation:

Solve: 2y - 4 = 14
Please answer I put the points up please answer quik

Answers

Answer:hope it helps

Step-by-step explanation:

Simplifying

2y + -4 = 14

Reorder the terms:

-4 + 2y = 14

Solving

-4 + 2y = 14

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2y = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 2y = 14 + 4

2y = 14 + 4

Combine like terms: 14 + 4 = 18

2y = 18

Divide each side by '2'.

y = 9

Simplifying

y = 9

The solution to the equation 2y - 4 = 14 is y = 9.

We have,

To solve the equation 2y - 4 = 14, we can isolate the variable y by performing the necessary operations:

First, we add 4 to both sides of the equation to eliminate the -4:

2y - 4 + 4 = 14 + 4

Simplifying, we have:

2y = 18

Next, we divide both sides of the equation by 2 to isolate y:

2y/2 = 18/2

Simplifying further:

y = 9

Therefore,

The solution to the equation 2y - 4 = 14 is y = 9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

Given that events A and B are independent with P(A)=0.31P(A)=0.31 and P(B)=0.7P(B)=0.7, determine the value of P(B|A)P(B∣A), rounding to the nearest thousandth, if necessary.

I need help please.

Answers

Answer:

.7

Step-by-step explanation:

I'm going to assume you meant to write all that stuff once

The conditional probability formula is as follows : (B|A)=(A∩B)/A

We're told that the two probabliites are independent of each other which means that A∩B= A*B

Which means we have

(.31*.7)/(.31)

This should simplify to .7

*note* a shortcut you can use when finding the conditional probability of two independent probabilities you can just take the first probability (or in this case B) and that'll be your final answer  

A photo booth in the shape of a rectangular prism has edge lengths of 3 ft by 4 ft by 7 ft. What is the volume of the space inside the photo booth?

Answers

Answer:

V=84ft³

Step-by-step explanation:

Answer:

Heyaa!! My name is Pinky and im here to inform you that your answer is...

Step-by-step explanation:

!!! V=84ft³ !!!

My clarification or my work is:

V=w h l= 4· 7· 3 =84ft³

w= Width

L= Length

H= Height

Have an amazing dayy!!

~Pinky~

1.4 litres of a liquid has a mass of 1,526 g.
Find the density of the liquid in kg/m3

Answers

Answer:

Step-by-step explanation:

Given data:

Mass of the liquid ( m ) = 550 kg

Volume of the liquid ( v ) = 680 litre

= 680*10-3 m​​​​​​3

 = 0.68 m​​​​​​3

Now, Density of the liquid = (m/v)

= (550 kg )/(0.68 m​​​​​​3​​​)

= 809 kg/m​​​​​​3

The density of the liquid is 1,090 kilograms per cubic meter.

What is density?

The density is the ratio of mass to volume of any substance. Let m be the mass of the object and v be the volume of the object. Then the density D will be given as,

D = m / v

First, convert the volume into cubic meters. Then we have

⇒ 1.4 x 0.001

⇒ 0.0014 m³

The density of the liquid is calculated as,

Density = (mass ÷ volume)

Density = (1,526 g ÷ 0.0014 m³) ÷ 1,000

Density = 1,090 kg/m³

Therefore, the density of the liquid is 1,090 kg/m³.

More about the density link is given below.

https://brainly.com/question/15164682

#SPJ2

For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.

Answers

Answer:

im about to get visous on gta so its 70%

Step-by-step explanation:

please help i will give brainliest

Answers

Answer:

Part 1: 2.4 + x

Part 2: 4(2.4 + x) = 14.8

Step-by-step explanation:

2.4 + x is the total distance covered every day.

We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.

Extra: Here's how to work out x!

4(2.4 + x) = 14.8

9.6 + 4x = 14.8

4x = 5.2

x = 1.3

Hope that helps!

make a sentence with antonyms of
go and beatiful​

Answers

Answer:

Stop believing that you are ugly.

Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3

Answers

9514 1404 393

Answer:

  maximum: +2

  minimum: -8

Step-by-step explanation:

The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...

  5(±1) -3 = -3±5 = +2, -8

The maximum of f(x) is +2; the minimum is -8.

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