A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.
A parallelogram with a height of 6 yards and side length 9 yards. The height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. Rhombus is split into a soy half and a corn half.
Each bag of soil covers 20 square yards. How many bags should the farmer purchase?
Answers
The farmer should purchase 2 bags of soil for his farm.
What is Area of rectangle?Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.
The shape of the farm, according to the picture is a parallelogram. the total area can be calculated as follows:
Area = b X h
where
b = base
h = height
base = 6.5 + 2.5 = 9.0 yards
height = 6 yards
Area = 6 × 9 = 54 square yards.
40 square yards requires 1 bag of soil .
54 square yards will require ?
cross multiply
Bags required = 54 / 40 = 1.35 bag
Thus, the farmer will require 2 bags of soil for his farm.
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Related Questions
if p = (-1,-1) find the image of p under the following rotation. 90 degrees counterclockwise about the origin
Answers
Answer:
( 1, - 1 )
Step-by-step explanation:
Use the moving and additivity principles to explain and she weighs why the next triangle has an area of 1/2 (b*h) Square units for the given choices of B and H. One! If it naturally with the expression b*(1/2h) and the other should fit naturally with the expression 1/2(b*h)
Answers
Answer: The given triangles have an area [tex]1/2[/tex] × [tex]base[/tex] × [tex]height[/tex]
Step-by-step explanation:
The moving principle states that if you move a shape rigidly without stretching it the area does not change whereas the additivity principle states that if you combine different shapes without overlapping them then the area is the cumulative sum of each of the figures.
Since both, the principle will give out the same answers. the arrangement for the expression can be manipulated also.
For the first triangle applying the moving principle gives,
Area [tex]=[/tex] [tex]b[/tex] × [tex](\frac{1}{2}[/tex] · [tex]h)[/tex]
For the second triangle applying the additivity principle,
Area [tex]=\frac{1}{2}[/tex] ([tex]b[/tex] · [tex]h[/tex])
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Answers
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
If the volume of the pyramid is 192 yd³; and the area of the base is 64 yd², what is the height measured in yards?
Answers
Answer:
177
Step-by-step explanation:
Help me to solve this answer below :((!!!
Answers
Answer:
3/2+1/2+17/2=21/2
Answer: 21/2 hours or 10 1/2 hours
Step-by-step explanation:
To find out the total number of hours needed for all activities scheduled for the day, simply add the needed hours for each activity.
You just need to add them because they have the same denominator.
3/2 for homework
1/2 for home chores
17/2 for sleep
[tex]\frac{3}{2} + \frac{1}{2} + \frac{17}{2} = \frac{21}{2}[/tex] hours
A carpet installer charges a flat rate of $40 + $1.50 per square foot for labor so the total cost for the labor depends on the amount of carpet installed the relationship between the total cost for labor and the amount of corporate installed is the domain of the relation is the range of the relation is
Answers
The domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
A carpet installer charges a flat rate of $40 and $1.50 per square foot for labor.
So the total cost for the labor depends on the amount of carpet installed, the relationship between the total cost for labor and the amount of corporate installed.
Then the domain of the relation is the range of the relation will be
Let y be the total amount and x be the number of square foot.
y = 1.5x + 40
Then the domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).
The graph is given below.
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which of the following would be an acceptable first step in simplifying the expression tan^x/1+sec^x
Answers
The first step is replacing the given trigonometric functions by simpler ones and then taking the product of the denominators.
Which is the first step to simplifying the given expression?
Here we have the expression:
[tex]\frac{tan(x)}{1 + sec(x)}[/tex]
Remember that:
[tex]tan(x) = \frac{sin(x)}{cos(x)}\\ \\sec(x) = \frac{1}{cos(x)}[/tex]
Replacing that would be the "step zero", we can write:
[tex]\frac{tan(x)}{1 + sec(x)} = tan(x)*\frac{1}{1 + sec(x)} = \frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} }[/tex]
The first step to simplify this, is taking the product between the denominators:
[tex]\frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} } = sin(x)*\frac{1}{cos(x) + \frac{cos(x)} {cos(x)} } = \frac{sin(x)}{cos(x) + 1}[/tex]
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Answer:
tanx(1-secx)/(1+secx)(1-secx)
Step-by-step explanation:
aP E
The function f(x)=5(x−1) is shown on the coordinate plane.
Select from the drop-down menus to correctly describe the end behavior of f(x).
As x decreases without bound, the graph of f(x) ______
1. approaches y=0
2. increases without bond
3. decreases without bond
As x increases without bound, the graph of f(x) ______
1. approaches y=0
2. increases without bond
3. decreases without bond
Answers
As x decreases without bound, the graph of f(x) approaches y = 0
As x increases without bound, the graph of f(x) increases without bound
What is Function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
f(x)=5^(x−1)
When x -> -∞
[tex]lim_{ x- > -\infty.[/tex] f(x)= 5 ^(x-1) = 0
When x -> ∞
[tex]lim_{ x- > \infty.[/tex] f(x)= 5 ^(x-1) = ∞
Hence,
As x decreases without bound, the graph of f(x) approaches y = 0
As x increases without bound, the graph of f(x) increases without bound
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If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.
Answers
Both are not earning different salaries.
If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are not earning different salaries.
Study determines that there is not any significant study so thats why both are not earning.
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Help, Help, Brainliest available to the best Answer!
Find the Variance
Answers
Considering the given data-set, it's mean and the formula, the variance is of 870 lbs².
What is the variance of a data-set?The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.
The mean is the sum of all observations divided by the number of observations, hence:
M = (145 + 175 + 180 + 205 + 120)/5 = 165.
And the variance, in lbs squared, is given by:
V = [(145-165)² + (175-165)² + (180-165)² + (205-165)² + (120-165)²]/5 = 870.
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Determine whether each ordered pair is a solution to the inequality x+5y<2.
Select all that apply:
(−8,−1)
(−1,0)
(4,2)
(9,6)
(0,10)
Answers
Two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
Given inequality is:-
x + 5y < 2.We will check all the points for the inequality:-
(−8,−1) → x + 5y < 2. → -8 +(5 x -1) < 2 → -13 < 2 It is inequality
(−1,0) → x + 5y < 2 → -1 < 2 It is inequality
(4,2) → x + 5y < 2 → 14 < 2 wrong
(9,6) → x + 5y < 2 → 39 < 2 wrong
(0,10) → x + 5y < 2 → 50 < 2 wrong
Therefore the two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.
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Part B
Assume the statement is true for n=k. Prove that it must be true for n=k+1, therefore proving it true for all natural
numbers, n.
Hint: Since the total number of dots increases by n each time, prove that d (k) + (k+1)=d (k+ 1).
Answers
The inductive step is assuming that the statement is true for some n = k , where k is one of the values we want to prove the statement for, it shows that it is also true for n = k+1.
How to carry out Mathematical Induction?Suppose we have the statement 3n > 4n for all positive integers n.
Now, the statement above is false when n = 1 , since 3 is less than 4. However, it will be true for all other positive integers.
In that case, we can still prove this statement by induction for all integers n ≥ 2 .
Thus, the inductive step is assuming that the statement is true for some n = k , where k is one of the values we want to prove the statement for, it shows that it is also true for n = k+1.
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find the value of x y and z?
Answers
Answer:
Step-by-step explanation:
what is the 10th term for sequence 4; 8; 13; 19; 26
Answers
Answer:
40
Step-by-step explanation:
An 8-pack of clay pots costs $15.76. What is the unit price?
Answers
Clay pots =8
Price =$15.76
Then unit price =15.6/8
=$1.95
Which expression is equivalent to (1−sinβ)(1+sinβ)/cos2β for all values of β for which (1−sinβ)(1+sinβ)/cos2β is defined?
Select the correct answer below:
tan2β
tanβ+secβ
tanβ
sec2β
1
Answers
Work Shown:
[tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}\\\\\frac{1-\sin^2(\beta)}{\cos^2(\beta)}\\\\\frac{\cos^2(\beta)}{\cos^2(\beta)}\\\\1\\\\[/tex]
Therefore, [tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}=1\\\\[/tex] is an identity for all values of β for which the original expression is defined. I used the difference of squares rule for the 2nd step. Then I applied the pythagorean trig identity for the 3rd step.
7
2
3
Mark this and return
f(x)
The functions f(x) and g(x) are graphed.
3
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N
5
-2+
-3-
6
g(x)
7
2 3 4 5 6 x
8
Which represents where f(x) = g(x)?
Of(2)= g(2) and f(0) = g(0)
f(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
Save and Exit
Answers
Answer: Option 1
Step-by-step explanation:
The graphs intersect at x=0 and x=2, meaning f(2)=g(2) and f(0)=g(0).
The functions have the intersecting points at x = 2 and x = 0 and the relation is f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the first function be represented as f ( x )
Let the second function be represented as g ( x )
Now , the function f ( x ) is a parabolic function and g ( x ) is a linear function
And , the intersecting points of both f ( x ) and g ( x ) are
x = 2 and x = 0
So , both the functions f(x) and g(x) intersect at two points, one at x = 2 at the x-axis in the graph and one at y = 4 at y-axis of the graph
Therefore , f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )
Hence , the functions are solved
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If 3x − 6 ≤ f(x) ≤ x2 − 3x + 3 for x ≥ 0, find lim x→3 f(x).
Answers
Answer:
Step-by-step explanation:
Fill in the blanks find P A And si
Answers
The answer will be Rs. 4330.
Step-by-step explanation:
Because if you subtract 340 from 4670, you will get the answer which is 4330.
Timothy is an hourly employee and he can work maximum of 40 hours in a week. If the weekly salary depends on the number of hours (h) worked, what will be the domain of the function in this context?
a. h < 40, h ∈ Z
b. h ≥ 0, h ∈ R
c. 0 ≤ h ≤ 40, h ∈ R
d. h ≤ 40, h ∈ R
Answers
Answer:
C
Step-by-step explanation:
0 ≤ h ≤ 40, h ∈ R
Hope this helps :)
Use the graph of the function to find its domain and range. Write the domain and range in interval notation
Answers
Answer:
Step-by-step explanation:
How much acetic acid is in a 5 - liter container of acetic acid and water that is marked 80% acetic acid ? How much is water ?
Answers
evaluate-4x + 2y - z if x = - 2, y = 3, and z = -4
Answers
Answer:
-4(-2)+2(3)-(-4)
8+6+4
16 is the answers
Step-by-step explanation:
please mark me as brainlest
which terms could have the greatest common factor of 5m2n2? select two:
m5n5
5m4n3
10m4n
15m2n2
24m3n4
Answers
Answer:
5m4n3 and 15m2n2
Step-by-step explanation:
you just have to find the 2 that each are divisible by 5m2n2, which are 5m4n3 and 15m2n2.
V
On March 8, 2017, one U.S. dollar was worth 66.79 Indian rupees.
(a) On that date, how many dollars was 110.66 rupees worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many rupees was 125.29 dollars worth?
Round your answer to the nearest hundredth of a rupee.
I need help with this problem.
Answers
Answer:
a=1.66
b=8368.12
Step-by-step explanation:
hope it helps
This is part A to one of my questions to help answer the second one, the second question is posted if anyone can help
Answers
Answer:
Step-by-step explanation:
Part A: Since 400 is being multiplied 1.06^t, for it to be equal to 399 the value 1.06^t must be less than 1. The lowest value for t given the domain restriction is 0 which would only result in 1 which will given the initial amount of 400. t would need to be less than 0 for 1.06^t to start going below the value 1 but since there is a domain restriction since t represents time, that value cannot go below 400 to reach 399.
THE LENGTH OF A PAINTING OF A TREE IS 2/9 OF THE LENGTH OF THE ACTUAL TREE. IF THE LENGTH OF THE PAINTING OF THE TREE IS 16 INCHES, WHAT IS THE LENGTH IN INCHES OF THE ACTUAL TREE
Answers
The length of the actual tree will be 72 inches.
Fraction is the portion of a total amount where the above part of the fraction is the denominator and the bottom part of the fraction is called the numerator.
The equation whose highest degree of the variable is 1 is called a linear equation.
Here given that the length of a painting of the tree is 2/9 of the actual length of the tree.
So mathematically the length of a painting= (2/9)*the length of actual tree
Let the length of the actual tree is x
then from above it is clear that the length of a painting of the tree= (2/9)x
Given the length of the painting is 16 inches.
So the linear equation will be (2/9)x= 16
⇒ x= 16/(2/9)
⇒x= 16*9/2
⇒x=72 inches
Therefore the length of the actual tree will be 72 inches.
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Write and solve an inequality that means a number plus six is less than or equal to twenty-four.
Answers
Answer:
Inequality: x + 6 ≤ 24
Solution: x ≤ 18
Step-by-step explanation:
Plus: "+" → to add something to something else
Less than or equal to: "≤" → the expression on the left side of the inequality sign is smaller than the expression on the right side of the sign.
Let x be the unknown number.
A number plus 6 is less than or equal to twenty-four:
x + 6 ≤ 24
To solve the found inequality, subtract 6 from both sides:
⇒ x + 6 - 6 ≤ 24 - 6
⇒ x ≤ 18
Therefore, the solution to the inequality is x ≤ 18. The unknown number x can be any real number equal to or less than 18.
No be n
n+6≤24Solve
n≤24-6n≤18Solution set
(-oo,18]Dakota has four yardsticks and two 12-inch rulers.If she lays all four of the yardsticks and both rulers end-to-end,what is the maximum number of feet she can measure accurately at once? PLEASE EXPLAIN
E.12 ft
F.14ft
G.16 ft
H.!8ft
Answers
Answer:
[tex]\huge\boxed{\sf 14\ ft}[/tex]
Step-by-step explanation:
Yard sticks = 4
12-inch rulers = 2
All are placed end to end.
Converting yard and inch to feet:4 yardsticks into feets:We know that,
1 yard = 3 feet
4 yards = 3 × 4 feet
4 yards = 12 feet
2 12-inch ruler into feet:We know that:
1 inch = 0.083 feet
24 inch = 0.083 × 24 feet
24 inch = 2 feet
The maximum number of feet she can measure exactly:= 4 yardsticks + 2 12-inch rules
= 12 ft + 2 ft
= 14 ft
[tex]\rule[225]{225}{2}[/tex]
a telephone company charges $0.98 for the first minute, $0.82 for each additional minute, and a$1.56 service charge if the cost is 11.56 how long did the person talk
Answers
Answer:
12 minutes
Step-by-step explanation:
added in the picture
