The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find its base and height.

Please explain also​

Answers

Answer 1

Answer:

Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)

1 hectare = $36

$486 = 13.5 hectares

13.5 hectares = 1/2 × b × h

To get b × h, you use the reverse of the formula. Hence:

13.5 = 1/2 × b × h

13.5 ÷ 1/2 = b × h

               = 27

27 is b × h.

The question states that the base is three times the height. Hence:

b = 3u

h = 1u

b × h = 27

        = 3u × 1u

Thus, we need to find one value which is three times the other, in order to get a product of 27.

Factors of 27:

1 × 27

3 × 9

9 is three times of 3. Thus, the base is 9, while the height is 3.


Related Questions

30 POINTS!!! A catfish weights about 0.2 pound and its weight increases by about 15% each week. Write an exponential equation that represents the weight of the catfish after t weeks.

Answers

Answer:

0.30 15 times 2 easy 30 and this percent so 0.30

Step-by-step explanation:

Please help me on this question!

Answers

-8 to 8

Step-by-step explanation:

f(x) is the same as y when discussing functions. Therefore we look for the places where the line is above or touching the x axis

Need help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\mathfrak{( \frac { 6 x } { y } ) ( \frac { y } { 3 x - 3 } ) } [/tex]

[tex]\mathfrak{ \frac{6xy}{y\left(3x-3\right)} } [/tex]

[tex]\mathfrak{ \frac{6x}{3x-3} } [/tex][tex]\mathfrak{ \frac{6x}{3\left(x-1\right)} } [/tex]

[tex]=\boxed{\mathfrak{\frac{2x}{x-1} } }[/tex]

☆ Option 3 is correct.

[tex]\mathbb{MIREU} [/tex]

7. A cargo train covers 375 km in 15 hours. Find: b) time taken to travel 770 km.​

Answers

Answer:

30 hours 48 minutes

Step-by-step explanation:

Using the relationship

average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{375}{15}[/tex] = 25 Km / hour

Then

time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{770}{25}[/tex] = 30.8 hours = 30 hours 48 minutes

Answer:

30.8 or 30 hours and 48 mins

Step-by-step explanation:

375 km > 15 Hours

Divide 375 and 15, equals to 25.

So, to proof that 375 is equals to 15 hours, divide 375 and 25 then you will get the answer 15. :)

Now, divide 770 and 25 to get the time taken to travel 770km.

And the answer is 30.8 hrs or... 30hrs and 48mins

Welcome ;)

Find the value of x
6.1 - angles of polygons

Answers

Answer:

x = 46°

Step-by-step explanation:

The sum of interior angles = (n-2) × 180°

= (5-2) × 180°

= 540°

2x+3x+3x-4+3x+x-8 = 540°

12x = 552°

x = 46°

Ok done. Thank to me:>

help. please..
with steps.​

Answers

Answer:

  Option 2

Step-by-step explanation:

The account balance multiplier for the compound interest option is ...

  (1 +r)^t = 1.05^8 ≈ 1.477455

The account balance multiplier for the simple interest option is ...

  (1 +rt) = 1 +0.06·8 = 1.48

Jadwa should choose option 2 for this investment. It will earn about £5.09 more in interest over the 8-year period.

_____

£2000 · (1.48 -1.477455) ≈ £5.09

__

In the above formulas, r is the interest rate, and t is the number of years.

Someone help me please

Answers

Answer:

Step-by-step explanation:

any minus temperature is < 7oC

0 is < 7oC

1 ... 6 is < 7oC

Suppose f(x) = x. Find the graph of f(x) - 5

Answers

Answer:

it's the graph that touches the y-axis in the point (0, -5), and the x-axis in the point (5, 0)

5x-15y=-20, 5x-4y=-9 systems of equations (elimination)

Answers

Answer:

(- 1, 1 )

Step-by-step explanation:

5x - 15y = - 20 → (1)

5x - 4y = - 9 → (2)

Multiplying (2) by - 1 and adding to (1) will eliminate the x- term

- 5x + 4y = 9 → (3)

Add (1) and (3) term by term to eliminate x

0 - 11y = - 11

- 11y = - 11 ( divide both sides by - 11 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

5x - 15(1) = - 20

5x - 15 = - 20 ( add 15 to both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

solution is (- 1, 1 )

if it takes 10 people working at the same rate 5 hours to pick 300 apples, how many hours would it take 1 person to pick 300 apples

Answers

Answer:

50 hours

Step-by-step explanation:

10 times 5 is 50 so the answer is 50 hours

Which expression are equivalent to -1+12x^2+x

Answers

Answer:

(3x+1)(4x-1)

Step-by-step explanation:

you can reorder the terms to make it less confusing to 12x^2+x-1

write x as a different 12x^2+4x-3x-1

factor out 4x       4x(3x+1)-3x-1

factor out the negative sign 4x(3x+1)-(3x+1)

factor out 3x+1

(3x+1)(4x-1)

PLEASE I NEED HELP RN


use the elimination method to solve. -7x+y=-19 -2x+3y=-19

Answers

Answer:

  (x, y) = (2, -5)

Step-by-step explanation:

The coefficient of y in the second equation is an integer multiple of the coefficient in the first equation, so it is convenient to eliminate y. Subtracting 3 times the first equation from the second, we have ...

  (-2x +3y) -3(-7x +y) = (-19) -3(-19)

  -2x +3y +21x -3y = -19 +57 . . . . . . . eliminate parentheses

  19x = 38 . . . . . . . . . simplify

  x = 2 . . . . . . . divide by 19

  -7(2) +y = -19 . . . . . substitute for x in the first equation

  y = -5 . . . . . . add 14

The solution is (x, y) = (2, -5).

What’s the domain and range for this? And is it a function? Yes or No

Answers

You are given the domain and range ( the numbers in each oval):

If There is more than one arrow connected to a number, that number is listed the same amount

Domain (-4,0,6,6)

Range (12,18,18,40)

To be a function each input value ( Domain) can only have one output value (range)

Because the 6 has two different outputs ( 12, 18) this is not a function.

Answer:

The input 6 (domain) leads to two outputs thus it is not a function.

Step-by-step explanation:

PLZZ HELP ASAP

Order these numbers from least to greatest ​

Answers

Answer:

1.4722, 2.901, 2.9, 2.91

Step-by-step explanation:

Third, first, second, fourth

hey guys can you help me with this question? 20 points :)

Answers

Answer:

About 7 units

Step-by-step explanation:

About 7 units would be correct. 1 + 6 is 7

however 6 isn’t an option so the next closet thing is 7

HOPE THIS HELPED :3

Answer pretty sure that’s 7

Step-by-step explanation:

Tom, Kristen, and bill bought 3 granola bars to share amongst themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar. Which equation represents how many granola bars Kristen ate.

Answers

Answer:

3/4 of a bar.

Step-by-step explanation:

Each piece of the granola bar is 1/4 of the bar. She ate 3 portions, so she ate 3/4.

2x+5=10-3x please help

Answers

Answer is 14x

Step by step

2x + 5 = 10 - 3x

Let’s start with 2x + 5 = 7 and you bring the x with you which is 7x

Now you do 7x = 10 - 3x , equal sign is plus am guessing and then 10 - 3x is 7x so

7x + 7x = 14x

What is the Equation of the line? slope: undefined; (7,-9)

Answers

Answer:

x = 7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

undefined slope means that there's a vertical line through the x-axis.

And since the point is at (7,-9) you only need to focus on the value of x, which in this case, is 7.

Paula has $3,281 in a savings account that earns 8% interest, compounded annually.

To the nearest cent, how much interest will she earn in 1 year?

(compound interest Formula)

Answers

Answer:

$262.48

Step-by-step explanation:

Given:

Saving amount P = $3281Interest rate r = 8% or 0.08Compound number n = 1Time t = 1 year

Find the total amount in 1 year:

[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]

please help 31 pts and brainlist if you give me a step by step explanation on how to do this

Answers

Answer: Hence, by ASA ( Angle side Angle) Rule of congruency two triangles;

Angle ADE = CDF Hence proved.

Step-by-step explanation:Diagram of two triangles are given such that side ED = FD and <AED = < CFD = 90

To Find: TO prove <ADE = <CDF

Solution; In figure ; we can see that <EDA and <FDC are vertically opposite angles and hence are equal.

=> <EDA = <FDC |Vertically opposite angles

<DEA = <CFD = 90 |Given

Also, ED = FD |Given

Hence, by ASA (Angle Side Angle)

Rule of congruency two triangles; <ADE = <CDF

Hence Proved.

how do you expand 5(2x - 1)?

Answers

multiply 5 by each number in the parentheses

Hey there!

5(2x - 1)

DISTRIBUTE 5 WITHIN THE PARENTHESES

= 5(2x) + 5(-1)

= 10x - 5

Therefore, your answer is: 10x - 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter​

Answers

Answer:

125 cm

Step-by-step explanation:

when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter​?

A Regular polygon is a polygon with all sides of equal length

so

25 * 5 = 125 cm

how do you evaluate numbers in math?

Answers

To evaluate an expression in maths, plug in he value of the variable, then simplify the expression following the order of operation.

Assuming we are given the expression, 3x + (2x - 1), and we are required to evaluate the expression, the following shown below is how to evaluate the expression if we are told that x = 1.

First step is to plug in the value of the variable, x, into the expression:

3(1) + (2(1) - 1)

3 + 2 - 1

Using the order of operation, simply

4

Therefore, to evaluate an expression in maths, plug in he value of the variable, then simplify the expression following the order of operation.

Learn more about evaluation on:

https://brainly.com/question/3590570

Factorize the following: 9x²+6x+1-25y²

Answers

Answer:

(3x - 5y + 1)(3x + 5y + 1).

Step-by-step explanation:

9x²+6x+1-25y²

= 9x^2 - 25y^2 + 6x + 1

= (3x - 5y)(3x + 5y) + 6x + 1

3x + 3x = 6x and 1 * 1 = 1 so we have:

= (3x - 5y + 1)(3x + 5y + 1)

Hans Raj 4 years, 5 months ago
9x2+6x+1−25y2
.......................... (3x)2+(2x3xx1)+(1)2−25y2
.................................applying Rule (a+b)2=a2+b2+2ab
.(3x+1)2−(5y)2
........................... . (3x+1+5y)(3x+1−5y)
.................................. .... applying Rule a2−b2=(a+b)(a−b)

Nikita began with the figure shown.
A.
с
B
She completed the following actions to construct the angle bisector of ABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of 2ABC.
Step 3: Then, she placed the compass on point and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.

Answers

Answer:

no

Step-by-step explanation:

Answer:

Step three

Step-by-step explanation:

She placed the point on C when it was supposed to be on E

Plz help with this question.

Answers

a] x/5=3

x=15

b] x/2=8.5

x=17

how to find the domain and range of a piecewise function without a graph

Answers

Answer:

Step-by-step explanation:

The x component of a function is domain and the y component is range of a function . For example -                                                                                                   R1={(3,4),(5,6),(7,9)}                                                                                                                  The domain of R1 ={3,5,7}                                                                                                                                                                                                                                     The range of R1={4,6,9}

24) If the simple interest on $4,000 for 3 years
is $960, then what is the interest rate?

Answers

Answer:

8% annual

Step-by-step explanation:

first find the rate of 1 year. 960/3 = 320.

then find what % of 4,000, 320 is.

8%

Can someone help me with this please? ​

Answers

Die haben sich schon in der Schule gesehen und 5 bis drei z die Frau A bist du noch mal in der Nähe

Sponges are sold for 20 dollars. How many sponges per dollar.

Answers

Answer:

$1 or $1.25

Step-by-step explanation:

Not sure. Maybe

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