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).
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.
3x+2(6x)=15
Can you please solve for x?
Thanks!
Answer:
x=1
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
6x x 2=12x + 3x = 15x
15x/15 = 15/15
x = 1
URGENT!!! 30 points!
What is the x-coordinate of the point that can be plotted on the graph between (6, 2) and (12, 4) that is part of this set of equivalent ratios? Choose the point which has integer values for x and y.
On a coordinate plane, the points (3, 1), (6, 2), and (12, 4) are plotted.
Answer:
Lol its 8
Step-by-step explanation:
find the equation of the straigt line
if you are correct then ill give you brainliest answer!
Given :
A graph with a straight line on it.
To Find :
The equation of the line.
Solution :
From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .
Also, equation of line passes through two points [tex](x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex] is :
[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})( x - x_1)[/tex]
Putting all given values, we get :
[tex]y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6[/tex]
Therefore, the equation of line is y - x = 6 .
What is the correct sequence of steps?
I dunn know wut you mean but herez..
Simplify the parenthesis
Simplify all exponents
Simplify all multiplication and division, left to right
Simplify all addition and subtraction, left to right
Hava gud day :P
iii,v,iv,i, and ii
can I get brainlyest?
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range
Question:
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.
Answer:
(a)
[tex]Mean = 4[/tex]
[tex]Median=3[/tex]
[tex]Mean > Median[/tex]
(b)
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
[tex]SD> IQR[/tex]
Step-by-step explanation:
Given:
Data: 4, 1, 3, 10, 2.
Solving (a): The mean and the Median
The mean is calculated as follows:
[tex]Mean = \frac{1}{n} \sum x[/tex]
Where
[tex]n = 5[/tex] i.e 5 data
So, the expression becomes:
[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]
[tex]Mean = \frac{1}{5}(20)[/tex]
[tex]Mean = 4[/tex]
Calculating the Median:
First, arrange the order (ascending order):
[tex]Data: 1, 2,3,4,10[/tex]
Because n is odd
The median is represented as:
[tex]Median = (\frac{n+1}{2})th\ item[/tex]
[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]
[tex]Median = (\frac{6}{2})th\ item[/tex]
[tex]Median = 3rd\ item[/tex]
From the arranged data, the 3rd item is 3.
Hence:
[tex]Median=3[/tex]
By comparison, the mean is greater than the median because [tex]4 > 3[/tex]
Solving (b): Standard Deviation and IQR
The standard deviation is calculated as follows:
[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]
So, we have:
[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]
[tex]SD= \sqrt{\frac{50}{5}[/tex]
[tex]SD= \sqrt{10}[/tex]
[tex]SD = 3.2[/tex]
Calculating IQR
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Data: 1, 2,3,4,10[/tex]
In (a), we calculate the median as:
[tex]Median=3[/tex]
First, we calculate [tex]Q_1[/tex]
[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]
The first half is:
[tex]First\ Half = 1,2,3[/tex]
So:
[tex]Q_1 = 2[/tex]
First, we calculate [tex]Q_3[/tex]
[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]
[tex]Second\ Half = 3,4,10[/tex]
So:
[tex]Q_3 = 4[/tex]
Recall that:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 4 - 2[/tex]
[tex]IQR = 2[/tex]
So, we have:
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
By comparison, the standard deviation is greater than the IQR because:
[tex]3.2 > 2[/tex]
So,
[tex]SD> IQR[/tex]
What are the coordinates of E??
Answer:
(10, 1)
Step-by-step explanation:
It tells you that when you translate it you add 2 to the x-coordinate and subtract 7 from the y-coordinate. This means that the point E, (8, 8), would become (8 + 2, 8 - 7) or (10, 1).
A bus travels 300 kilometers at a given speed. If the speed is increased by 5 kilometers per hour, the trip will be reduced by two hours. Find the speed.
Answer:
25km/hr (take the word train as bus )
Step-by-step explanation:
Answer
Let x km/hr be the constant speed of the train,
Then Time taken to cover 300km=
x
300
hrs
Time taken to cover 300km when the speed is increased by 5km/hr=
x+5
300
hours
It is given that the time to cover 300km is reduced by 2 hours
∴
x
300
−
x+5
300
=2
⇒
x(x+5)
300(x+5)−300x
=2⇒2x
2
+10x=1500
⇒x
2
+5x−750=0⇒x
2
+30x−25x−750=0
⇒(x+30)(x−25)=0⇒x=25orx=−30
But x cannot be negative. Therefore x=25
Hence, the original speed of the train is 25km/hr
Visit this online dictionary and search for the definition of justice. Which part of speech is the word justice? Which definition best matches the definition given by the online dictionary?
Answer:
noun and fairness
Step-by-step explanation:
Giving each person what they deserve, or, in more formal terms, their due, is what is meant by justice. Today, the terms justice and fairness are frequently used interchangeably because of their close relationship. However, there have also been more definite interpretations of the two names.
Justice is noun part of speech.
What do you mean by Speech?Speech is the ability to articulately express ideas and thoughts through vocal sounds. It is also the act of doing so.
Justice, in its broadest sense, is the idea that people should get what they deserve. However, there are many different fields and viewpoints that have an impact on what is considered to be "deserving," including those that focus on morality as it relates to ethics, reason, law, religion, equity, and fairness. The state will occasionally make an effort to improve justice by running courts and upholding their decisions.
Therefore, Justice means fair treatment and it is noun part of speech.
Learn more about Speech, here;
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A must-have for any thrill seeker is a drop tower ride. The Precipice Plummet will stand 420 feet tall. The scale in your architectural diagrams is 1":40'. How tall will your drawing of Precipice Plummet be in inches? (do not include units in your answer, just the number
The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!
I need the answer ASAP plz
Write an equation that models this problem: Trevor paid$528 to stay at the MGM Grand Hotel in Las Vegas for four nights over New Year's weekend. What was the rate,r, per day to stay at the MGM Grand for New Year's?
Answer:
r = $105.6
Step-by-step explanation:
Given,
Amount paid by Trevor for 4 nights = $528
Rate per day = r
Now,
We know that a 4-night stay in the hotel means 5 days to stay at MGM Grand.
Now,
Amount paid = Number of days x Rate per day
$528 = 5 r
[tex]r = \frac{528}{5}[/tex]
r = $105.6
Hence, Trevor pays $105.6 to stay at the MGM Grand Hotel in Las Vegas for four nights.
How much is 92 quadrillion cents
A dog weighs 20% more than it did three months ago. It weighs 36 pounds now.
How much did the dog weigh three months ago?
Answer:
30 poundsStep-by-step explanation:
Let the weight 3 month ago be x.
20% more than x is:
1.2xWe now have the following equation:
1.2x = 36x = 36/1.2x = 30 pounds
A semicircle has radius 8.2cm
Find the rate of change
Answer:
non linear
Step-by-step explanation:
you can see it doesnt go up a specific number each time, aka changes each time, therefor its non linear
Answer:
2
Step-by-step explanation:
Use the method
Change in output / Change in input
The input progresses by 1, and y progresses by 2.
We will plug the numbers in.
2/1
Then simplify.
2/1 = 2
Hence, the rate of change is 2.
Simplify fully
a) 8⁴4d⁵÷2c³d³
Answer:
here it the answer
Step-by-step explanation:
hope it helps
Someone help with this pls and answer all of them!!
If you help me I’ll give brainliest and 20 points only answer if you know pls and thank you
Answer:
(2/3)^4 and (4/9)^2
Step-by-step explanation:
At the rodeo, 256 hot dogs were sold for a total of $768. If each hot dog sold for the same amount, what would be the cost of 24 hot dogs?
Answer:
$72
Step-by-step explanation:
$768/265 = $3
$3 x 24 = $72
Answer:
$72
Step-by-step explanation:
768/256 = how much each hot dog was sold for
768/256 = 3
Each hot dog was sold for $3.
24*3 = $72
Therefore, the cost of 24 hot dogs is $72.
Ben's Sports sells golf tees from a barrel by the scoop. The golf tees come in 5 bright colors mixed in the barrel. To determine what to charge for each scoop, Ben weighed 15 scoops. The weight of each scoop is shown in the line plot below. Use the line plot to answer the questions.
In triangle ABC, DEAC. If AD=12, BD=3, and CE=10, find BE.
Answer:
BE = 2.5
Step-by-step explanation:
Remark
Use triangles ABC and DEB.
Formula
AB/DB = BC / BE
Givens
AB = 15BD = 3BC = 10 + xBE = xSolution
15/3 = (10 + x)/x Cross multiply
15x = 3(10 + x) Remove the brackets
15x = 30 + 3x Subtract 3x from both sides.
15x - 3x = 30 Combine
12x = 30 Divide by 12
x = 30/12
x = 2.5
7w = $7.63
(4th grade work)
Answer:
1.07
Step-by-step explanation:
7.63 divided by 7 equals to 1.07
The value of w from the given equation is $1.09.
The given equation is 7w = $7.63.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The value of w can be solved as follows:
w = 7.63/7
⇒ w = 1.09
Therefore, the value of w from the given equation is $1.09.
To learn more about an equation visit:
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2.
3.
Mal slept for x hours, and Kiran slept for 1/10
less than that
Kiran practiced the piano for x hours, and Mal
practiced for 2/5 less than that.
Mai drank x oz of juice and Kiran drank 4/3
more than that
Kiran spent x dollars and Mal spent 1/4 less
than that.
Mai ate x grams of almonds and Kiran ate 1.5
times more than that.
Kiran collected x pounds of recycling and Mai
collected 3/10 less than that.
Mai walked x kilometers and Kiran walked 3/8
more than that
Kiran completed x puzzles and Mal completed
3/5 more than that.
a. y = 2.5.2
by=1.3752
cy=0.92
d.y=0.72
e. y=0.62
4
5.
6.
7
f. y=.752
8. y= 2.332
hy=1.62
8.
Yeah
Answer:
The answer is below
Step-by-step explanation:
a) Let y represent the amount of time kiran slept, hence:
y = x - (1/10)x = x - 0.1x
y = 0.9x
b) Let y represent the amount of time Mia practice, hence:
y = x - (2/5)x = x - 0.4x
y = 0.6x
c) Let y represent the amount of drink kiran drank, hence:
y = x + (4/3)x = 7x / 3
y = 7x/3
d) Let y represent the money Mai spent, hence:
y = x - (1/4)x = x - 0.25x
y = 0.75x
e) Let y represent the amount of almond kiran ate, hence:
y = x + 1.5x = 2.5x
f) Let y represent the recycling Mai collected, hence:
y = x - (3/10)x = x - 0.3x
y = 0.7x
g) Let y represent the amount of km kiran walked, hence:
y = x + (3/8)x
y = (11/8)x
h) Let y represent the amount of puzzles mai completed, hence:
y = x + (3/5)x = x + 0.6x
y = 1.6x
Laura walked 6 laps of a circular path in 2 hours. At that rate, how many laps of the
path did she walk in one hour?
Answer:
3 laps
Step-by-step explanation:
6 / 2 = 3
Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the motorcycle not including the tax
Answer:
Amount of motorcycle = $11,500
Step-by-step explanation:
Given:
Tax rate = 12.5 % = 0.125
Amount of tax = $1,437.50
Find:
Amount of motorcycle
Computation:
Amount of motorcycle = [Amount of tax ] / Tax rate
Amount of motorcycle = [1,437.50] / 0.125
Amount of motorcycle = $11,500
Lin runs 12 laps around a track in 6 minutes. How many laps per minute is that? *
Step-by-step explanation:
6 min => Run 12 laps around the track
1 min => 12/6 = 2 laps around the track
Therefore Lin runs 2 laps per minute.
Answer:
2 laps per minute
Step-by-step explanation:
What we know:
Lin runs
12 laps
in 6 minutes
Laps per minute = [tex]\frac{Laps}{Minute} = \frac{12 laps}{6 minutes} = \frac{12}{6} = 2 \frac{laps}{minute}[/tex]
take off discount and find the sale price of 15%off of $60.00
discount sale price
Answer:
15% off of $60.00 would be $51.00
Step-by-step explanation:
(15 x 15) / 100 = 9
60-9=51
</3 PureBeauty
the home plate at a baseball game measures 17 inches across what is the measurement in feet and inches?
a. 1 foot 7 inches
b. 1 foot 5 inches
Answer:
b. 1 foot 5 inches
Step-by-step explanation:
because one foot is 12 inches
HELP ME PLEASE!!!!
Select the correct answer.
Solve this inequality for x: -46 − 8x > 22.
A.
x -8.5
D.
x > 8.5
Answer:
x < - 8.5
Step-by-step explanation:
Given
- 46 - 8x > 22 ( add 46 to both sides )
- 8x > 68
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity
x < - [tex]\frac{68}{8}[/tex] , that is
x < - 8.5
Answer:
x < - 8.5
I hope this helps