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

Convert 6432 Decimal to Binary Number system ?

• Kindly don't spam !! ​

Answers

Answer:

6432)10 = (1100100100000)2

Step-by-step explanation:

Step 1: Divide (6432)10 successively by 2 until the quotient is 0:

6432/2 = 3216, remainder is 0

3216/2 = 1608, remainder is 0

1608/2 = 804, remainder is 0

804/2 = 402, remainder is 0

402/2 = 201, remainder is 0

201/2 = 100, remainder is 1

100/2 = 50, remainder is 0

50/2 = 25, remainder is 0

25/2 = 12, remainder is 1

12/2 = 6, remainder is 0

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).

Hopes that it will help u...☺

[tex]\huge \bf༆ Answer ༄[/tex]

The method to convert the number from Decimal to binary number system is simple ~

Divide the number continuously until it become 0 and write all the remainders from bottom to top.

Now let's solve the given question ~

[tex]\textsf{6432 ÷ 2 = 3216 , r = 0} [/tex]

[tex]\textsf{3216 ÷ 2 = 1608 , r = 0} [/tex]

[tex]\textsf{1608 ÷ 2 = 804 , r = 0} [/tex]

[tex]\textsf{804 ÷ 2 = 402 , r = 0} [/tex]

[tex]\textsf{402 ÷ 2 = 201 , r = 0} [/tex]

[tex]\textsf{201 ÷ 2 = 100 , r = 1 } [/tex]

[tex]\textsf{100 ÷ 2 = 50 , r = 0} [/tex]

[tex]\textsf{50 ÷ 2 = 25 , r = 0} [/tex]

[tex]\textsf{25 ÷ 2 = 12 , r = 1} [/tex]

[tex]\textsf{12 ÷ 2 = 6 , r = 0} [/tex]

[tex]\textsf{6 ÷ 2 = 3 , r = 0} [/tex]

[tex]\textsf{3 ÷ 2 = 1 , r = 1} [/tex]

[tex]\textsf{1 ÷ 2 = 0 , r = 1 } [/tex]

Now, write the numbers from bottom to top ~

[tex] \sf{1100100100000}[/tex]

I hope it helps ~

Angle A is in standard position and terminates in quadrant IV. If sec(A)=4 3 , complete the steps to find cot(A). Use the identity to find the value of (A).

Answers

If sec(A) = 4/3, then the value cot(A) is [tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

The given trigonometric identity is:

[tex]sec(A)=\frac{4}{3}[/tex].........................(*)

Note that:

[tex]sec(A)=\frac{Hypotenuse}{Adjacent}[/tex].........................(**)

Comparing (*)  and (**)

Hypotenuse = 4

Adjacent = 3

Find the opposite using the Pythagoras theorem

Hypotenuse²  =  Opposite²  +  Adjacent²

4²   =  Opposite²  +  3²

Opposite² = 4²  -  3²

Opposite²  =  16 - 9

Opposite² = 7

Opposite = √7

cot(A) = Adjacent/Opposite

cot(A) = 3/√7

Rationalize the expression

[tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]

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Answer

1A=B 1B=tan 2=B 3=A

Step-by-step explanation:

Guys, please help me faster will receive a Brainliest award if you answer my 2 of the math questions with the best given answers with the best step-by-step explanations, so here is an image for you to answer my 2 of the math questions as soon as possible. Well anyways, good luck on answering my 2 of the math questions and I will check the answers to see if it’s appropriate! :)

Answers

Answer:

Question 10.

Length of the side of the square = [tex]\sqrt{441} = 21[/tex]

By Pythagoras' Theorem,

Hypotenuse = [tex]\sqrt{21^{2} + 20^{2} }[/tex] (H > 0)

                     = 29 m

Ans: 29 m

Question 11.

By Pythagoras' Theorem,

Length of longer side of 42 km = 42- [tex]\sqrt{18^{2} - 15^{2} }[/tex] (L > 0)

                                                                     = 32.050 km (5 s.f.)

By Pythagoras' Theorem,

Length of the unknown side = [tex]\sqrt{32.050^{2} + 15^{2} }[/tex] (L > 0)

                                               = 35.4 km (3 s.f.)

Ans: 35 km

Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.

Answers

£45

300 x 0.05 = 15

15 x 3 = 45

Adelle solved the equation, 4x/7 - 6 = -20 , as shown.
Fill in the following blanks with the correct justification for each step.

Answers

Answer:

Step 1: Given

Step 2: Add 6 on both sides

Step 3: Multiply 7 on both sides

Step 4: Divide by 4 on both sides

The value of x for the given linear equation is -24.5.

What is linear equation in one variable?

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

We have, a linear equation in one variable

[tex]\frac{4x}{7} -6=-20[/tex]

We solve the above equation in following steps

Step I : Adding 6 both the sides

[tex]\frac{4x}{7} = -20 + 6[/tex]  

⇒[tex]\frac{4x}{7} = -14[/tex]

Step II:  Multiply 7 both the sides

⇒ [tex]4x = -14[/tex] ×[tex]7[/tex]

⇒ [tex]4x = -98[/tex]

Step III: Dividing both the sides by 4

⇒ [tex]\frac{4x}{4} = -\frac{98}{4}[/tex]

⇒ [tex]x = -24.5[/tex]

Therefore, the value of x for the given linear equation is -24.5

 

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hi i need some help on this one thanks.

Answers

Answer:

y = 3x + 18

Here's how I got that:

- You first assign the points -

     (-9, -9) → x1 = -9, y1 = -9

     (-6, 0) → x2 = -6, y2 = 0

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   

                       (0 - (-9))/((-6) - (-9))

                                   ↓

                                  9/3

                                   ↓

                           slope = 3

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             -9 - (3) · (-9)

                                      ↓

                           y-intercept = 18

           - Put everything together and you get.. -

                                 y = 3x + 18

~That's all folks~

-Siascon

Answer:

y = 3x + 18

Step-by-step explanation:

Apply the distributive property to create an equivalent expression.
-9x(5j+k)
PLEASE HELP THANK YOUU!!

Answers

Answer:

-45xj-9xk

Step-by-step explanation:

-9x(5j+k)

Multiply -9x with 5j

Multiply -9x with k

-9x times 5j is -45xj

-9x times k is -9xk

So the equivalent expression is

-45xj-9xk

Hope this helps!

please answer


when a whole number is rounded to the nearest ten the answer is 340







a write down the smallest possible value for the number


b write down the largest possible value for the number​

Answers

Answer:

a) 335

b) 344

Step-by-step explanation:

Find the slope of the line passing through the points (8,-4) and (1,-9)

Answers

Answer:

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

Answer: 0.71429

Step-by-step explanation:

Is ∠ABC ≅ ∠ADC? Yes or no and why. PLEASE HELP ME? thanks. BRAINLIEST to CORRECT answers ONLY. PLEASE NO LINKS

Answers

yes the triangles are congruent by the HL Theorem

What is 7 x 1/4 ? Draw a model of your choice to help you solve in decimal form

Answers

Answer:

1 and 3/4

Step-by-step explanation:

7×1/4 (the / symbolizes ÷)

(7×1) ÷4

7/4 ( divide by 4)

=1 and 3/4

i'm in ISP which is In school probation. I need help! Thanks doubled the points btw

Answers

If 310 is 30% of some number x, then

0.30x = 310

⇒   x = 310/0.30

⇒   x = 310/(3/10)

⇒   x = 310 × 10/3

⇒   x = 3100/3 ≈ 1033.33

Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4

Answers

The system of equations that can be used to determine the number of nickels and dimes is:

x + y = 468

0.05x + 0.01y = 34.40

Where:

x = number of nickels

y = number of dimes

The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.

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WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Y -.-

Answer:

Point Y is the answer to this

An analyst surveyed the movie preferences of moviegoers of different ages. Here are the results about movie preference, collected from a random sample of 400 moviegoers.
A 4-column table with 4 rows. The columns are labeled age bracket and the rows are labeled type of movie. Column 1 has entries cartoon, action, horror, comedy. Column 2 is labeled children with entries 50, 22, 2, 24. Column 3 is labeled teens with entries 10, 45, 40, 64. Column 4 is labeled adults with entries 2, 48, 19, 74.
Suppose we randomly select one of these survey participants. Let C be the event that the participant is an adult. Let D be the event that the participant prefers comedies.
Complete the statements.
P(C ∩ D) =
P(C ∪ D) =
The probability that a randomly selected participant is an adult prefers comedies is symbolized by P(C ∩ D).

Answers

Using it's concept, it is found that the probabilities are given as follows:

P(C ∩ D) = 0.185.P(C ∪ D) = 0.5775.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 400 moviegoers.

From the table, 74 are adults who prefer comedies, hence:

P(C ∩ D) = 74/400 = 0.185.

2 + 48 + 19 + 74 = 143 are adults, while 24 + 64 = 88 are not adults but prefer comedies, hence the "or probability" is given by:

P(C ∪ D) = (143 + 88)/400 = 0.5775.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

0.3575

0.405

Step-by-step explanation:

will mark brainiest

Hans is riding his bicycle. He takes 6 hours to ride 38.4 kilometers. What is his speed?

___ kilometers per hour

Answers

6.4 kilometers per hour

Which number below is an integer but not a natural number?
A) -1/2
B) Square root of 8
C) -5
D) 72

Answers

Answer:

C) -5

Step-by-step explanation:

-5 is an integer but not a whole number or a natural number.

Y+2= 1/3(x+6)
Solve for y

Answers

Answer:

y = 1/3x

Step-by-step explanation:

Alright, so we have an equation with two variables (y and x) and I need to solve for y in terms of x. That is, I need to isolate y one one side with all the other terms on the other side.

First, let's distribute the 1/3 on the right side of the equation onto the x and 6 inside the parentheses.

y + 2 = 1/3(x + 6)

y + 2 = 1/3(x) + 1/3(6)

y + 2 = 1/3x + 2

Now, let's isolate y on the left side by removing 2 from both sides.

y + 2 = 1/3x + 2

y + 2 - 2 = 1/3x + 2 - 2

y = 1/3x

So, y is equal to 1/3x. Hopefully that's helpful! :)

Rationalize the denominator​

Answers

Answer:

[tex]\huge\color{purple}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex] \frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3} [/tex]

[tex]\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}[/tex]

Here..Step 3 contains the algebraic identity

( a + b ) × ( a - b ) = -

Also.. in the very last step ,

we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..

we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.

‎ ‎

‎ ‎

‎ ‎

hope helpful~

~Be Brainly!~Exhausted Zombie
Here’s the answer….hope it helps ;)

The dimensions of the base of an office building are 5.5 x 10^4 feet by 3.45 x 10^5 feet. What is the perimeter of the base of the building, in feet?

Answers

Answer:

8×10^5

Step-by-step explanation:

Perimeter= 2( length + width)

= 2(34.5 × 10⁴ + 5.5 × 10⁴)

= 2(40 × 10⁴)

= 80 × 10⁴

= 8 × 10^5 feet

A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?

Monthly cost with 9 slices:
Monthly cost with xx slices:

Answers

The pizza only would cost 11.25 dollars

The monthly cost would be 26.25 if he always buys 9 slices per months

This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
20% still got the flu. Of those who did not receive the flu shot, 65% got the flu.
Use the tree diagram to determine the probability that a person with the flu is a person who received a flu shot.
Enter your answer as a decimal to the ten thousandths place.
=> 0.1165

Answers

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Person has the flu.Event B: Person got the flu shot.

The percentages associated with getting the flu are:

20% of 30%(got the shot).65% of 70%(did not get the shot).

Hence:

[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]

The probability of both having the flu and getting the shot is:

[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

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Answer:

flu shot

flu

no flu

.30

.20

Step-by-step explanation:

trust

HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPP

Answers

Answer:

a, h and k have values 1, -5 and -10 respectively

factor completely.
-3x^2+9x+30

Answers

Answer:

− 3 ( x − 5 ) ( x + 2 ) hope this helps

Step-by-step explanation:

Answer:

− 3 ( x − 5 ) ( x + 2

Step-by-step explanation:

need help asap ………….

Answers

Answer:

0.85

Step-by-step explanation:

HOPE THIS HELPS :)

(please help) how many lines of symmetry does the figure have ? type the number only

Answers

Lines of symmetry are lines which cut a figure into two equal halves.As shown in the picture, there are 3 lines of symmetry in the figure.

Hope you could get an idea from here.

Doubt clarification - use comment section

The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011. The number of international tourist arrivals in Russia was k million more in 2012 than in 2011. What is the value of k to the nearest integer

Answers

The value of k to the nearest integer is 21

Let the number of international tourist arrivals in Russia in 2011 be k

If the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:

k = 24.7 - (13% of 24.7)

k = 24.7 - (0.135 * 24.7)

k = 24.7 - 3.3345

k = 21.3655

Hence the value of k to the nearest integer is 21

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12. Fancy goldfish x cost $3 each and
common goldfish y cost $1 each. Graph
the function y
20
3x to determine
how many
of each type of goldfish Tasha
can buy for $20.

Answers

Answer:

x (Fancy Gold fish) = 3

y (Common goldfish) = 29

Step-by-step explanation:

Fancy goldfish x cost $3 each

common goldfish y cost $1 each

Graph: y  = 20 +  3x (I'm hoping this is the correct line equation, please do leave a comment below if it's not)

Thus, we graph it by subtitude either the x or y values. (Or you can use just X = 1,2,3).

Now, to find how many of each type of goldfish Tasha can buy. We subtitude the line equation by either using x = 3 or y = 1

Using either values to solve the equation, we get:

x = 3

y = 29

Hope this helps!

Very important question ☺️​

Answers

Answer:

130⁰

Step-by-step explanation:

Let,

<Q = x

<R = y

So,

In ∆PQR

2x + 2y + 80 = 180(Sum of all angle in a triangle is 180⁰)

2(x + y) = 180 - 80

2(x + y) = 100

x + y = 100/2

x + y = 50

Now,

In ∆QOR

x + y + QOR = 180(Sum of all angle in a triangle is 180⁰)

50 + QOR = 180

QOR = 180 - 50

QOR = 130⁰

Gloria likes to knit scarves to give as gifts to her friends and family. She can knit 1 over 4. of a scarf in 3 over 4. of an hour. If she continues to knit at the same rate, how many hours will it take her to knit 1 scarf?

Answers

Answer:

I don't know

Step-by-step explanation:

Gloria will knit 1 scarf in 3 hours.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Gloria likes to knit scarves to give as gifts to her friends and family.

She can knit 1 over 4 of a scarf in 3 over 4 of an hour.

Simplifying,

She can knit 1/4 of a scarf in 3/4 of an hour.

To find the time:

1/4 of a scarf in 3/4 of an hour.

Multiply by 4,

4 x 1/4 of a scarf in 4 x 3/4 of an hour.

1 scarf in 3 hours.

Therefore, she will take 3 hours to knit 1 scarf.

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