6. The base of a triangular field is three times its height. If the cost of cultivating the field
at 36 per hectare is? 486, find its base and height (1 hectare = 10000 m²).​

Answers

Answer 1

Answer:

base = 519.62, height = 173.21 m

Step-by-step explanation:

Let the base and height of the triangle be represented by b and h respectively.

Thus,

b = 3h

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

For the given triangle,

area = [tex]\frac{1}{2}[/tex] x b x 3h

       = [tex]\frac{3}{2}[/tex]bh

Area of the triangle = [tex]\frac{3}{2}[/tex]bh

To determine the number of hectares,

36 per hectare = 486

hectare = [tex]\frac{486}{36}[/tex]

             = 13.5

numbers of hectares = 13.5

Area of the hectares = number of hectares x 10 000 m²

                                   = 13.5 x 10 000

                                  = 135000

Total area of the hectares = 135 000 m²

So that,

area of the hectares = area of the triangle

area of the triangle = [tex]\frac{3}{2}[/tex]bh

135 000 = [tex]\frac{3}{2}[/tex]bh

270000 = 3bh

bh = [tex]\frac{270000}{3}[/tex]

     = 90000

bh = 90000

But, b = 3h

3h x h = 90000

3[tex]h^{2}[/tex] = 90000

[tex]h^{2}[/tex]  = [tex]\frac{90000}{3}[/tex]

     = 30000

h = [tex]\sqrt{30000}[/tex]

  = 173.2051

h = 173.21 m

So that,

b = 3 x 173.2051

  = 519.6153

b = 519.62

Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.


Related Questions

5/6 x 4/5 =
simplify

Answers

Answer:

2/3

Step-by-step explanation:

hope this helps!

Answer:

10/15

Step-by-step explanation:

5/6*4/5

5*4/6*5

20/30

10/15

2/3

what is the common ratio of the geometric sequence -2, 8, -32, 128

Answers

Answer:

r = - 4

Step-by-step explanation:

The common ratio r of the geometric sequence is

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{8}{-2}[/tex] = - 4

could you awnser both questions please​

Answers

Answer:

2) answer: 21

4) answer: 8

Step-by-step explanation:

just substitute 6 for n and -2 for t and solve the expressions

What is (6x+4) - (4x+2)

Answers

Answer:

x = -1

Step-by-step explanation:

1. Simplifying

6x + 4 = 4x + 2

2. Reorder the terms

4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x

3. Solving

4 + 6x = 2 + 4x

4. Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.

4 + 6x + -4x = 2 + 4x + -4x

5. Combine like terms: 6x + -4x = 2x

4 + 2x = 2 + 4x + -4x

6. Combine like terms: 4x + -4x = 0

4 + 2x = 2 + 0

4 + 2x = 2

7. Add '-4' to each side of the equation.

4 + -4 + 2x = 2 + -4

8. Combine like terms: 4 + -4 = 0

0 + 2x = 2 + -4

2x = 2 + -4

9. Combine like terms: 2 + -4 = -2

2x = -2

10. Divide each side by '2'.

x = -1

11. Simplifying

x = -1

plz help with all ile give brainliest​

Answers

Okay I will comment once I figure it out

f(x) = x^2 - x^3
Select the value of f(-2)


-4

4

-12

12

Answers

Answer:

12

Step-by-step explanation:

-2^2-(-2)^3

4-(-8)

4+8

=12

Answer:

yo

Step-by-step explanation:

i jyst want 50 pts

A regular polygon has n sides and interior angles on 160°

Find the size of each interior angle in a regular polygon with 4n sides​

Answers

Answer:

I was right after all. 175°

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. I
Find the missing term.

That right?

Answers

Answer:

no

Step-by-step explanation:

Which of the following equations has no solution?
B= -B+ 2
B + 2= b + 2
B+ b = 2
b + 2 = b-2

Answers

Answer:

b+2=b-2

Step-by-step explanation:

The first step to solving this equation is subtract b from both sides. After you do that, you get 2=-2. 2 does not ever equal -2 and that statement is false. Therefore that equation has no solution.

Complete the inequality statement.

8 ___ 8

>
<
=

Answers

Answer:

8 = 8

Step-by-step explanation:

If the numbers are the same, they are equal ( = )

Express as a trinomial (3x+7)(x+8)

Answers

Answer:

hey there the answer is:

Step-by-step explanation:

3x(x)+3x(8)  +  7(x)+7(8)

3x^2+24x+7x+56=

56+31x+3x²

Answer:

3x^2+31x+56

Step-by-step explanation:

First, we need to multiply using the FOIL (first, outer, inner, last) method.

Let's multiply the first terms together:

3x(x)=3x^2

Now we multiply the outer terms:

3x(8)=24x

Next we multiply the inner terms:

7(x)=7x

Finally, we need to multiply the last terms:

7(8)=56

Now we have this:

3x^2+7x+24x+56

Combine like terms:

3x^2+31x+56

HTH :)

Kevin has $2 worth of dimes and quarters. He has a total of 11 dimes and quarters altogether. Determine the number of dimes, x,x, and the number of quarters, y,y, that Kevin has.

Answers

Answer:

6 quarters and 5 dimes

Step-by-step explanation:

6 • $0.25 = $1.50

5 • $0.10 = $0.50

$1.50 + $0.50 = $2.00

Help Me Please I would appreciate it!!!!

Answers

9514 1404 393

Answer:

  y +2 = (1/4)(x +1)

Step-by-step explanation:

The given line is in slope-intercept form:

  y = mx + b

where the slope (m) is -4 and the y-intercept (b) is +13.

For the perpendicular line, we need a slope that is the opposite reciprocal, or ...

  -1/m = -1/(-4) = 1/4

A suitable form for the desired equation is the point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For m=1/4 and (h, k) = (-1, -2), the equation of the line is ...

  y +2 = (1/4)(x +1)

Alexander is a stockbroker. He earns 13% commission each week. Last week, he sold 6,400 worth of stocks. If he averages that same amount each week, how much did he make in commission in 2011?

Answers

Answer:

$43,264

Step-by-step explanation:

Given :

% Commission earned per week = 13%

Worth of stock sold last week = 6400

If same amount is averaged each week during 2011 ;

Number of weeks per year = 52

Worth of stock for the year = (6400 * 52) = $332,800

Average Commission for the year = 13% of 332,800

0.13 * 332,800

= $43,264

In the United States, the waterfall with the greatest single drop is Ribbon Falls in California which drops 1, 612 feet. Find its height in kilometers. 1 mi

Answers

Answer:

0.4913376 km

Step-by-step explanation:

To solve the given question above, we have our conversion factor

1 foot = 0.000305 kilometre

1,612 feet = x km

Cross Multiply

xkm = 1612 × 0.000305

xkm = 0.4913376 km

Therefore, the height in Kilometers is 0.4913376km

Plz help

A business is valued at 200 million and has four owners.
Person A 1/4 of the business
Person B owns 2/5 of the business
Person C owns 1/8 of the business





A.What is the value of Person As share the business?


B.What is the value of Person B's share the business?


C.What the value of Person C's share the business?


D.What the value of Person Ds share the business?

Answers

I think D (sorry if I’m wrong)

help due in 20 mins will mark brainliest.

Answers

Answer:

1. The ratio in the table above is a 2.5 : 1 ratio.

2. The second row represents that if you use 15 cups of flour you need 6 tablespoons of flour. (I’m not 100% sure this one is right)

3. 10 cups of flour and 4 tablespoons vanilla

Step-by-step explanation:

3. If you divide your number of flour by 2.5 you get the amount of vanilla you must use

A rectangular frame measures 2 feet by 4 feet. How much money will I need to make this frame if wood is $6.00 a yard?​

Answers

You will need 16 dollars

Step-by-step explanation:

Since there are 3 feet in a yard divide the 6 by three that will be 2 dollars per foot. Then 2×4 equals 8. Take the 8 and multiply it by 2 then you will get the total of 16 dollars

please help me ill give brainliest ​

Answers

Answer:

9

-5 - 7(-2)

-5 - (-14)

+9

The answer you are looking for is 9!

Select that all apply.

Answers

Answer:

C. ASA E. AAS B. HA

Step-by-step explanation:

ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

AAS -  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.

HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.

Answer:

c.asa

Step-by-step explanation:

only C. asa tgat correct answer

Select the letter of the correct answer.
Suppose a group of Hawaiians trying to be more food self-sufficient consists of 17 people who
farm, 12 people who hunt, and 15 people who fish. If a person is chosen at random, what would
be the probability of choosing a hunter? Round your answer to the nearest whole percent.
A 34 percent
B 27 percent
C 38 percent
D 24 percent

Answers

I would say A hope it’s right


Please help!!!

What else would need to be congruent to show that AABC = ADEF by ASA?
B
E
500
50-
457
A
C
F
O A. ZCEF
O B. BC = EF
O C. ZA ZD
D. AC & DE

Answers

Answer:

bc = ef

Step-by-step explanation:

I just took the test

Similar triangles may or may not be congruent

The true statement is (b) BC  EF

From the question, we have the following highlights about the triangles

The angles at points C and F are congruent (45 degrees)The angles at points B and E are congruent (50 degrees)

The above represents the AA theorem

For the triangles to be similar by ASA, then the side lengths between the equal angles must be similar

The side lengths are BC and EF

Hence, the true statement is (b) BC  EF

Read more about similar triangles at:

https://brainly.com/question/14285697

7x + 4(-3x + 6) = -7x + 38

Answers

Answer:

x = 7

Step-by-step explanation:

Given

7x + 4(- 3x + 6) = - 7x + 38 ← distribute and simplify left side

7x - 12x + 24 = - 7x + 38

- 5x + 24 = - 7x + 38 ( add 7x to both sides )

2x + 24 = 38 ( subtract 24 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

7x+4(-3x+6) =-7x+38  Equation/Question

Step 2

7x+4(-3x+6) =-7x+38  Remove parenthesis

-5x+24=−7x+38

Step 3

-5x+24=−7x+38  Add 7x

2x+24=38

Step 4

2x+24=38  Subtract 24

2x=14

Step 5

2x=14  Divide by 2

answer

x=7

Hope this helps

The ratio of males to females in a cycling club is 5:3.
1/3 of the males are under 18
2/9 of the females are under 18
What fraction of the club members are under 18? Give your answer in its simplest form.

Answers

Answer:

3/2

Step-by-step explanation:

The ratio of males to females in a cycling club is 5:3.

1/3 of the males are under 18

2/9 of the females are under 18

The fraction of the club members that are under 18 is calculated as:

Male: Female = Male/Female

We are told in the above question:

1/3 of the males are under 18

2/9 of the females are under 18

Hence:

1/3 / 2/9

= 1/3 ÷ 2/9

= 1/3 × 9/2

= 3/2

The fraction of the club members that are under 18 is 3/2

PLS HELP I"LL GIVE BRAINLIEST TO THE FIRST PERSON WHO ANSWERS IT

Answers

TABLE T

WHY?

BECAUSE THE SAME VALLUE OF X (4) HAS DIFFERENT IMAGES IN Y

The correct answer is B. R

brainliest to first correct answer

Answers

Answer:

Smallest surface area is of Cuboid B i.e 440 cm²

So, The company will choose cuboid B

Step-by-step explanation:

We need to find the surface area of all cuboids.

Surface Area of Cuboid A:

Length = 6

Breadth = 25

Height = 4

The formula used is: [tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)[/tex]

Putting values and finding surface area:

[tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((6 \times 25)+(25 \times 4)+(6 \times 4))\\Surface \ Area \ of \ Cuboid=2(150+100+24)\\Surface \ Area \ of \ Cuboid=2(274)\\Surface \ Area \ of \ Cuboid=548\: cm^2[/tex]

So, Surface Area of Cuboid A = 548 cm²

Surface Area of Cuboid B:

Length = 10

Breadth = 6

Height = 10

The formula used is: [tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)[/tex]

Putting values and finding surface area:

[tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2(10 \times 6)+(6 \times 10)+(10 \times 10))\\Surface \ Area \ of \ Cuboid=2(60+60+100)\\Surface \ Area \ of \ Cuboid=2(220)\\Surface \ Area \ of \ Cuboid=440\: cm^2[/tex]

So, Surface Area of Cuboid B = 440 cm²

Surface Area of Cuboid C:

Length = 2

Breadth = 20

Height = 15

The formula used is: [tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)[/tex]

Putting values and finding surface area:

[tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((2 \times 20)+(20 \times 15)+(2 \times 15))\\Surface \ Area \ of \ Cuboid=2(40+300+30)\\Surface \ Area \ of \ Cuboid=2(370)\\Surface \ Area \ of \ Cuboid=740\: cm^2[/tex]

So, Surface Area of Cuboid C = 740 cm²

So, We get:

Surface Area of Cuboid A = 548 cm²

Surface Area of Cuboid B = 440 cm²

Surface Area of Cuboid C = 740 cm²

The company wants to choose the design having smallest surface area.

So, smallest surface area is of Cuboid B i.e 440 cm²

So, The company will choose cuboid B

If you help I’ll give brainliest and 20 point please only answer if you know it pls and thank you

Answers

it is 625

have a nice day!<3

Answer:

-625.

Step-by-step explanation:

-5*-5*-5*-5

-25*-5*-5

125*-5

625.

I hope this helps!

The principal wants to buy 8 pencils for every student at her school. If there are 859 students, how
many pencils does the principal need to buy?

Answers

Answer: 6872

Step-by-step explanation:

8 x 859 = 6872

Answer:

6782

Step-by-step explanation:

Multiply 8 by 859 to get 6782

also rip the principals wallet xD

Solve for r: P= 2 r + 2x

Answers

Answer:

The correct answer is,

[tex]r = \frac{p}{2} - x[/tex]

ten less than a number is at least -8. Solve the inequality.

Answers

Answer:

[tex]x - 10 \geqslant - 8 \\ x \geqslant 2 \\ [/tex]

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