A lawn in the shape of a trapezoid has an area of 1,800 square meters. The length of one base is 50 meters, and the length of the other base is 40 meters. What is the width of the lawn?​

Answers

Answer 1

9514 1404 393

Answer:

  40 m

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2(b1 +b2)h

Using the given values, we can find h to be ...

  1800 = 1/2(50 +40)h

  3600 = 90h . . . . . . . . . multiply by 2

  40 = h . . . . . . . . . . . divide by 90

The width of the lawn is 40 meters.


Related Questions

2. A doctor treated 2000 patients over a period of time. If he worked for 5 hours a day and spent 15 minutes on each patient how many days did the doctor spend to treat all patients?

Answers

Answer:

The answer is 6000 days.

un automóvil a recorrido 640 km a velocidad constante 4 horas Cuál es la velocidad del automóvil​

Answers

Answer:

2,560

Step-by-step explanation:

necesitas sumar 4 veces 640 o multiplicar 4×640

In a group 40% like football ,70% like cricket and 30% like both games

Answers

Step-by-step explanation:

Ans is 20 .

F union C whole complement is 20

Que costaría más comprar una vaca o comprar hamburguesas de 1€ hasta igualar a una vaca.

Answers

Answer:

haha pues cuesta mas las hamburgesas porque toca ir al doctor despues

Step-by-step explanation:

Keisha bought these supplies for school:



4 packs of pencils that cost $0.85 each
6 packs of pens for $1.25 each


5. What was the total cost of the pencils and pens, including a 6% tax?



A
$13.35
B
$10.90
C
$11.55
D
$2.23
.

Answers

Answer:

C. $11.55

Step-by-step explanation:

First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!

i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ‍♀️

Answers

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3=      1-2+3-4+5-6+7-8...

S3=       +1-2+3-4+5-6+7-8...

        ________________

2S3=    1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=

The unit circle with center at the origin is a relation but not a function Find the two functions which are semicircles of the unit circle and determine their domains and ranges?​

Answers

Answer:

Step-by-step explanation:

The relation is x²+y²=r² with r being the radius

[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]

Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.​

Answers

Answer:

707.7, or 707

Step-by-step explanation:

0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413

Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?

Answers

Answer:

765

Step-by-step explanation:

1)4.25/100=0.0425

2)0.0425*3600=153

3)153*5=765

PLEASE HELP

X+11/8 = -3

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]

maaf jika salah

Answer:

x=-35

Step-by-step explanation:

x+11=-3*8

x+11=-24

x=-24-11

x=-35

please answer my question it's urgent​

Answers

a = 16

Solution:common ratio = (-1/8)/(1/16)=-2

a1 = 1/6

n=9

an = a1 (r n-1)a9 = a1

a9 = 1/16 (-2 9-1)

a9 = 1/16 (-28)

a9 = 1/16 (256)

a9 = 16

I hope this helps :)

Help!
Find the value of x for which ABCD must be a parallelogram.

Answers

3
In a parallelogram, the diagonals (the lines inside from corner to corner) bisect each other. That means the two halves of the diagonal are equal to each other.
So
-9-6x=x-30
-9-6x+6x=x-30+6x
-9=7x-30
21=7x
x=3

1. In order to complete the square on x^2 – 3x, you would…?

Answers

Answer:

(x-1.5)^2 -2.25

Step-by-step explanation:

divide 3 by 2 which is 1.5

(x-1.5)^2 -2.25

What is the area of a circle with a diameter of 8 meters? Use 3.14 for pi, nothing else. Express in pi term and number term.

Answers

The two answers you are looking for are 16π m² and 50.24 m².

Solution:

Finding the area of the circle,

First, knowing what the area of a circle formula is:

A=πr²

Since knowing that the radius is half the length of the diameter,

If the diameter is 8, then the radius must be 4.

A=π(4)²

A=16π m²

Now, you have the first answer. If you want to express it differently,

Using 3.14 as pi,

So, therefore,

A=16(3.14)

A=50.24 m²

So, now, we can conclude that the two answers you are looking for for the area of this circle are 16π m² and/or 50.24 m².

Answer:

16pi and 50.24 m squared

Step-by-step explanation:

A trapezoid has one base measuring 12', and the other measuring 13'8". What is the area in square feet if the height of the trapezoid is 9'4"?

(Remember for trapezoids A= (b1 + b2)/2 x h

Answers

Answer:

Step-by-step explanation:

buzhou一=12212+13。8.12+13.8=25.8          25.8x9.4=?242.52242.522

The area of the trapezoid is given by A = 121.26 feet²

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the trapezoid be represented as A

Now , the equation will be

Let the height of the trapezium be H = 9.4 feet

The shorter base of the trapezium a = 12 feet

The longer base of the trapezium b = 13.8 feet

Now , Area of Trapezoid = ( ( a + b ) h ) / 2

On simplifying the equation , we get

Area of Trapezium A = ( ( 13.8 + 12 ) 9.4 ) / 2

Area of Trapezium A = 121.26 feet²

Hence , the area of trapezium is 121.26 feet²

To learn more about area of trapezium click :

https://brainly.com/question/12221769

#SPJ2

Convert a lot size of 2/9 acre to square feet given the conversion factor: 1 acre = 43,560 ft2

Answers

Answer:

9680 ft^2

Step-by-step explanation:

1 acre = 43,560 ft^2

(2/9) acre = (2/9)*43,560 ft^2

(2/9) acre = 9680 ft^2

Can someone help me thanks!​

Answers

The value of the digit decreases

Answer:

If it goes to the left it becomes in the hundredths place meaning it decreases

Step-by-step explanation:

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t^4 – 9t^3 + 24t^2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?

5 months
3 months
2 months
1 month

(2 months isn’t the answer btw)

Answers

The profitability of the restaurant is when the function gives a value greater than 0. The franchise does not make a profit after 5, 3, 2 or 1 month of opening.

Given that:

[tex]P(t) = t^4 - 9t^3 + 24t^2 - 20t[/tex]

To calculate the profit, we simply substitute the values of t in the above equation.

(a) 5 months

This means [tex]t =5[/tex]

So, we have:

[tex]P(5) = 5^4 - 9\times 5^3 + 24 \times 5^2 - 20 \times 5[/tex]

[tex]P(5) = 0[/tex]

(b) 3 months

This means that [tex]t=3[/tex]

So, we have:

[tex]P(3) = 3^4 - 9 \times 3^3 + 24 \times 3^2 - 20 \times 3[/tex]

[tex]P(3) = -6[/tex]

(c) 2 months

This means that [tex]t = 2[/tex]

So, we have:

[tex]P(2) = 2^4 - 9 \times 2^3 + 24 \times 2^2 - 20 \times 2[/tex]

[tex]P(2) = 0[/tex]

(d) 1 month

This means that [tex]t = 1[/tex]

So, we have:

[tex]P(1) = 1^4 - 9 \times 1^3 + 24 \times 1^2 - 20 \times 1[/tex]

[tex]P(1) = -4[/tex]

For the restaurant to make a profit, the equation has to give a positive value. Since none of the values of t gives a positive value for P(t).

Then, we can say the franchise does not make a profit after 5, 3, 2 or 1 month of opening.

Read more about functions at:

https://brainly.com/question/24314573

a square playground measures 2500 ft^2 what is the distance around the edge of the playground?​

Answers

Answer:

20000

Step-by-step explanation:

help me do this plz

Answers

Answer:

X= –10

[tex] \frac{1}{2} x - 5 = - 10 \\ \frac{1}{2} x = - 10 + 5 \\ \frac{1}{2} x = - 5 \\ x = - 5 \times 2 \\ x = - 10[/tex]

I hope I helped you^_^

x=-10 because well 5 and 5 is 10

Select all that apply please!

Answers

Answer:

x= –4/5 , x= 2

Step-by-step explanation:

5x²-6x-14=-6

5x² –6x –14 +6=0

5x²–6x –8=0

(5x+4)(x-2)=0

x=–4/5

x=2

Hi! I'm happy to help!

To solve this, we simply have to replace x with the given values.

First, we have -14, let's apply that:

(5·(-14²))-(6·(-14))-14=

Now, let's solve (using the order of operations):

(5·(-14²))-(6·(-14))-14=

(5·196)-(6·(-14))-14=

980-(6·(-14))-14=

980-(-84)-14=

980+84-14=

1064-14=

1050=

1050≠-6

Option 1 is incorrect.

Next, let's substitute 14 for x:

(5·14²)-(6·14)-14=

Now, let's solve:

(5·14²)-(6·14)-14=

(5·196)-(6·14)-14=

980-(6·14)-14=

980-84-14=

896-14=

880=

880≠-6

Option 2 is incorrect.

Now, let's substitute -7 for x:

(5·(-7²))-(6·(-7))-14=

Now, let's solve:

(5·(-7²))-(6·(-7))-14=

(5·49)-(6·(-7))-14=

245-(6·(-7))-14=

245-(-42)-14=

245+42-14=

287-14=

273=

273≠-6

Option 3 is incorrect.

Now, let's substitute 7 for x:

(5·7²)-(6·7)-14=

Now, let's solve:

(5·49)-(6·7)-14=

245-(6·7)-14=

245-42-14=

203-14=

189=

189≠-6

Option 4 is incorrect.

Now, let's substitute -2 for x, and solve:

(5·(-2²))-(6·(-2))-14=

(5·4)-(6·(-2))-14=

20-(6·(-2))-14=

20-(-12)-14=

20+12-14=

32-14=

18=

18≠-6

Option 5 is incorrect.

Now, let's substitute 2 for x and solve:

(5·2²)-(6·2)-14=

(5·4)-(6·2)-14=

20-(6·2)-14=

20-12-14=

8-14=

-6=

-6=-6

Option 6 is correct.

Now, let's substitute -1 for x and solve:

(5·(-1²))-(6·(-1))-14=

(5·1)-(6·(-1))-14=

5-(6·(-1))-14=

5-(-6)-14=

5+6-14=

11-14=

-3=

-3≠-6

Option 7 is incorrect.

Now, let's substitute 1 for x and solve:

(5·1²)-(6·1)-14=

5-(6·1)-14=

5-6-14=

-1-14=

-15=

-15≠-6

Option 8 is incorrect.

Now, let's substitute -4/5 for x and solve:

(5·(-4/5²))-(6·(-4/5))-14=

(5·0.64)-(6·(-4/5))-14=

3.2-(6·(-4/5))-14=

3.2-(-4.8)-14=

3.2+4.8-14=

8-14=

-6=

-6=-6

Option 9 is correct.

Now let's substitute 4/5 for x and solve:

(5·4/5²)-(6·4/5)-14=

(5·0.64)-(6·4/5)-14=

3.2-(6·4/5)-14=

3.2-4.8-14=

-1.6-14

-15.6

-15.6≠-6

Option 10 is incorrect.

To summarize, you should pick option 6, and option 9.

I hope this was helpful, keep learning! :D

A hot air balloon went from an elevation of 6,813 feet to an elevation of 3,168 feet in 54 minutes. What was its rate of descent?

Answers

I agree that you are still trying so hard and to not get to see you too lol

Help please asap first answer get brainliest
Beging you please

Answers

Answers:

12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15

13. 2/4*4/6 = 8/24 = 1/3

14. 3/4*3/6 = 9/24 = 3/8

15. 2/6*4/6 = 8/36 = 2/9

16. 2/4*1/6 = 2/24 = 1/12

17. 3/4/1/6 = 18/4 = 9/2

18. 3/4/2/4 = 12/8 = 3/2

19. 3/6/4/6 = 18/24 = 3/4

20. 5/7+2/7 = 7/7 = 1

21. 4/5+5/7 = 53/35

22. 3/5+5/5 = 8/5

23. 1/6-1/6 = 0

24. 3/7-2/3 = -5/21

25. 3/5-2/7 = 11/35

You deposit $1500 in an account that earns a simple interest at an annual rate of 3%. How long must you leave the money in the account to earn $900 in interest?

Answers

9514 1404 393

Answer:

  20 years

Step-by-step explanation:

The interest earned is found using the formula ...

  I = Prt

where principal P is invested at rate r for t years. Solving for t, we find ...

  t = I/(Pr) = $900/($1500×0.03) = 900/45

  t = 20

You must leave the money in the account for 20 years to earn $900 in interest.

A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
A $0.65
B $0.60
C $0.30
D$0.70

Answers

Answer:

B: $0.60

Step-by-step explanation:

4x+6=8.40

4x=2.40

2.40 / 4 = .6

.6 = 0.60 or 60 cents

Answer:$0.60

Step-by-step explanation:

A bag a kibble is 6$

Subtract the cost for the kibble to the cost of all products.

  $8.40

-  $6.00  

  $2.40...  is the cost for all 4 cans of cat food.

Then divide $2.40 by 4... That will be B) $0.60

     

In a group 40% like football ,70% like cricket and 30% like both games

Answers

Answer:

40%

Step-by-step explanation:

40+30+70=140

180-140= 40

3)There are 9 colorful socks in a drawer: 3 green, 2
purple,
2 Navy, 1 yellow, and 1 pink. What's the
probability of picking a green putting it on and
then choosing a purple?

Answers

Answer:

1/24 chance

Step-by-step explanation:

To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.

After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.

Given the triangle below, find the angle θ in radians. Round to four decimal places.

Answers

Answer:

θ = 0.9626

Step-by-step explanation:

Hi there!

We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information

[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]

Use the inverse cosine ratio

[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]

Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)

[tex]\displaystyle \theta=0.9626[/tex]

Therefore, θ = 0.9626 when rounded to four decimal places.

I hope this helps!

Answer:

theta = 0.9626 radians

Step-by-step explanation:

cos theta = a/h

cos theta = 4/7 = 0.5714

so, the angle theta = arc cos 0.5714 =

55.1520 °

in radians => 55.1520 × π / 180°

= 0.9626 radians

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {-4, 8/3, -16/9, 32/27, -64/81, . . . } an =

Answers

Step-by-step explanation:

a1 = -4 = -4/1, a2 = 8/3

r = a2/a1 = (8/3) / (-4/1) = -2/3

the formula :

an = a1. r^(n-1)

so,

an = (-4). (-2/3)^(n-1)

Step-by-step explanation:

[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]

Help please ASAP!!!!!

Answers

Answer:

answer is c because you gota tranlate it left

Step-by-step explanation:

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