Mr. Johnson needs to determine how many square meters of grass they need to buy for their yard.
2 m
5 m
9 m
10 m
How much grass will he need to buy to cover his yard?
Answers
Answer:
Amount of grass needed (In square meter) = 34 meter²
Step-by-step explanation:
Divide given shape into rectangle and trapezium
Given:
Width of rectangle = 2 m
Length of rectangle = 5 m
Height of parallelogram = 9 - 5 = 4 m
Base of parallelogram = 10 m
Opposite site of parallelogram = 2 m
Find:
Amount of grass needed (In square meter)
Computation:
Amount of grass needed (In square meter) = Area of rectangle + Area of parallelogram
Amount of grass needed (In square meter) = (l x b) + (1/2)(sum of parallelogram)(height)
Amount of grass needed (In square meter) = (5 x 2) + (1/2)(2 + 10)(4)
Amount of grass needed (In square meter) = 10 + (1/2)(12)(4)
Amount of grass needed (In square meter) = 10 + 24
Amount of grass needed (In square meter) = 34 meter²
Related Questions
Find the value of x then classify the triangle.
Answers
Answer:
x= 35⁰ - obtuse triangle
Step-by-step explanation:
since the sum of angles of the triangle = 180⁰
(3x-5) + (x+10) + (x) =180⁰
5x+5= 180
(subtracting 5 from both sides)
5x=180-5
5x= 175
(dividing by 5)
x= 35⁰
so the angles of the triangle are
(3x-5) = 105-5= 100⁰
(x+10) = 45⁰
(x) = 35⁰
then this triangle is an obtuse triangle
The circumference of a circle is 125.6 millimeters. What is the circle's radius?
Answers
Answer:
20 millimeters.
Step-by-step explanation:
To find the radius of a circle with circumference, you must divide the circumference by pi (3.14).
After dividing the circumference by pi, you now have the diameter of the circle.
Secondly, to get the radius, divide the quotient (the diameter) by 2.
The quotient is the radius of the circle.
----------------------------------------------------------------------------------------------------------------
Now, I will repeat these steps using the circumference of 125.6 millimeters.
125.6 ÷ 3.14 = 40.
40 ÷ 2 = 20.
Therefore, 20 millimeters is the radius of this circle.
The circle's radius is mathematically given as
r=20
What is the circle's radius?Question Parameter(s):
The circumference of a circle is 125.6 millimeters.
Generally, the equation for the circumference is mathematically given as
C=2\pi r
Therefore
C=2 *3.14*r
125.6=2 *3.14*r
r=20
In conclusion, The raduis
r=20
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Fine the Value of x?
Answers
Gina is shopping for a new bicycle. The price of the bicycle that she likes is $300 and there is an 8% sales tax. What is the total price of the bicycle including sales tax?
Answers
Answer:
$324
Step-by-step explanation:
(1.08)(300) = 324
Answer:
The total price of the bicycle including sales tax is $324.
Explanation:
The price of a bicycle = $300
Rate of sales tax = 8%
Amount of tax = 8% x 300
= [tex]\frac{8}{100}[/tex] x 300
= 8 x 3
= 24
Cost of bicycle including tax= Price of cycle + Amount of tax = 300+24=324
= $324
find the height of the prism is the volume is 740cm cubed edulastic
Answers
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 22/7 for π.
radius is 1/4
Answers
Answer:
0.02π cubic units
Step-by-step explanation:
Given data
Radius= 1/4
The expression for the volume is
V= 4/3* πr^3
V= 4/3*3.14*(1/4)^3
V= 4/3* π*1/64
V= 4*π*1/64*3
V=4π/192
V=0.02π cubic units
tan took Lily to his friend’s restaurant on a date. The friend told the waiter to remove the $12 dessert from Stan’s bill. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip. Fill in the blanks to write an equation that will determine the amount of the original bill, b.(2 points)
___(b −___) = ___
Answers
$b+$12 is the equation that will determine the amount of the original bill
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that The friend told the waiter to remove the $12 dessert from Stan’s bill.
Stan tipped the waiter 20% on the reduced bill, which was a $15 tip
We need to write an equation that will determine the amount of the original bill b.
Let us find what 20% of amount will be 15
20/100×b=15
0.2x=15
b=15/0.2=75
The reduced bill is $75.
As before $12 is removed
$b+$12=$87
$87 is the original bill and 15 is the tip.
Hence, $87 is the original bill.
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I need help i am very confused
Answers
9+12=m or 9+12=21
this is because when we start with m-9=12 we know that m is supposed to be the sum of 9 and 12.
if we check our work we will see this
9+12=21
9+12=21
m-9=12
21-9=12
Please Answer.\
I am in so much tension already
Answers
Answer:
1:B
2:B
3:C
Step-by-step explanation:
HOPE IT'LL HELP :)
Jonathan and Oscar began saving money the same week. The table shows the models for the amount of money Jonathan and Ove saved after x weeks.
Jonathan's Savings
F (x)=18x+5
Oscar's Savings
G(x)=8x + 25
Jonathan and Oscar will have the same amount of money saved after
Answers
Jonathan and Oscar will have the same amount of money saved after 2 weeks.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7. There are different types of equations like linear, quadratic, cubic, etc.
If they have same amount of money then,
f(x) = g(x)
18x+5 = 8x+25
10x = 20
x = 2 weeks
Therefore, Jonathan and Oscar will have the same amount of money saved after 2 weeks.
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1/4(12x-20)+3(3x+5) I'm extremally confused I'm supposed to simplify
Answers
Answer:
12X+10
Step-by-step explanation:
THAT IS THE SIMPLFY 1-4 x (12x-20)+3(3x+5) Facout our 4 from the expression 1-4 x4 (3x-5)+3(3x+5) Simply the expression cancel out the greatest common factor 4 remove unncessary parntheses if so collect the terms 3x 9x 12x and the solutin is 12x+10
we roll a fair 6 sided die 5 times. what is the probability that we get a one or a two in exactly 3 of the 5 rolls
Answers
The probability is 5/32.
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
To roll exactly 4 odds out of 5 rolls is [tex](\frac{1}{2} )^{4}\frac{1}{2}[/tex] where the odds are 1, 3, and 5 for 3/6=1/2 and the other 1/2 is the probability of rolling an even since we want exactly 4 odds.
Since there are 5 dice being rolled there are 5 ways to order them.
So the probability is 5/32.
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Ocean Bike Tours wants to provide bandanas for each person. The cost of the bandanas is each person. The cost of the bandana is $45.50 for the design plus $2 per bandana. If C= the cost and n= number of bandanas, what would the total cost for 50 bandanas be?
Answers
Answer:
$145.50
Step-by-step explanation:
C = 45.50 + 2n
45.50 + 2X 100 = $145.50
How many x-intercepts does the graph of each quadratic equation have? Show your work.
Answers
Answer:
Step-by-step explanation:
In each case we find the discriminant b^2 - 4ac.
If the discriminant is negative, we have two unequal, complex roots.
If the discriminant is zero. we have two equal, real roots.
If the discriminant is positive, we have two unequal real roots.
#51: 8v^2 - 12v + 9: the discriminant is (-12)^2 - 4(8)(9) = -144. we have two unequal, complex roots
#52: (-11)^2 - 4(4)(-14) = 121 + 224 = 345. we have two unequal real roots.
#53: (-5)^2 - 4(7)(6) = 25 - 168 (negative). we have two unequal, complex roots.
#54: (4)^2 - 16 = 0. We have two equal, real roots.
Describe how the graph might be misleading. Then explain how someone might misinterpret the graph…
Answer For Both Graphs And 25 Points!!!
Answers
Answer: 1. The first graph has the x and y axis values as minutes and frequency, but the title is bicycling.
2. it's a dotted graph, which doesn't give enough information since that graph does not have to be linear, but when you have a graph like that you want a line graph.
Answer:
the other dude answered it better than i did
Step-by-step explanation:
What should be done to these equations in order to solve a system of equations by elimination?
Answers
To solve the problem of a system of equations by elimination, we can start with both equations in standard form. Then we can decide which variable will be easier to eliminate.
How can we decide? We want to have the coefficients of any one of the variables be opposites so that we can put the equations together and eliminate that variable.
To solve a simultaneous equation by using the elimination method, you eliminate any one variable first.
Before you can do that, the coefficient of one of the variables in the two equations must be the same.
From the given questions, for the coefficient of one variable in the two equations to be the same, we multiply the first equation by 3.
If we can do this, the coefficient of Y in the two equations will now be 3.
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Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99 percent confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
A. 400
B. 900
C. 1300
D. 1600
E. 2100
Answers
Directions: Find each value or measure. Assume that segments that appear to be tangent are tangent
Answers
Answer:
x = 7, x = 5
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord.
(1)
27x = 9 × 21 = 189 ( divide both sides by 27 )
x = 7
(2)
12(3x - 5) = 120 ( divide both sides by 12 )
3x - 5 = 10 ( add 5 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Select perpendicular lines from the given pair of lines :
Select one:
a.
y = − 3x + 7, y = 3x + 11
b.
y = 3x + 7, y = x / 3 + 11
c.
y = − 3x + 7, y = x / 3 + 11
d.
y = − 3x + 7, y = − x / 3 + 11
Answers
Answer:
The line pairs that are pendicular are shown in option c.
c. y = − 3x + 7, y = x / 3 + 11
Step-by-step explanation:
Perpendicular lines have slopes that are the negative inverse of each other. For example, a line with slope of 5 would have a line perpendicular to it if the second line has a slope of -(1/5) [the negative inverse of +5].
Cmpare the slopes of each pair of linear equations:
a. -3 and 3 The negative inverse of -3 would be (1/3), not 3. These lines are not perpendicular.
b. 3 and (1/3). The negative inverse of 3 would be -(1/3), not (1/3). These lines are not perpendicular.
c. -3 and (1/3). The negative inverse of -3 would be (1/3). These lines are perpendicular.
d. -3 and (-1/3). The negative inverse of - 3 would be (1/3). These lines are not perpendicular.
What is the value of y (angles)
Answers
Answer:
39°
Step-by-step explanation:
At the section the angles are connected, meaning that the angle across from w is the same as w and same applied to x. To find y, you first need to find w, to find the 2nd angle of the triangle of the right.
To do this, you need to add up 42 + 85.
(All triangles angles = 180)
42+85=127
subtract this from 180 to find angle w
180 - 127 = 53
53 = Angle w, which is the same as the angle across from angle w (second angle).
Second, take 53 + 88 = 141
Subtract this from 180
180-141 = 39.
39 is y°
or
y° = 39
Kadeesha has a smart phone data plan that costs $45 per month that includes 10 GB of data, but will charge an extra $25 per GB over the included amount. How much would Kadeesha have to pay in a month where she used 4 GB over the limit? How much would Kadeesha have to pay in a month where she used went over by xx GB?
Answers
Answer:
1. $145
2. 45+25x=total $
Step-by-step explanation:
45+(25•4)=145
Step-by-step explanation:
Given:
10 GB included with plan
$45 per month
$25 per GB over the amount of 10
Need to find out:
How much would Kadeesha have to pay in a month where she used 4 GB over the limit, how much would it be if it went over xx GB?
Let's solve the first problem:
10 GB included + 4 GB (over) =14 total GB
$45=10GB. $25×4= 4 GB over.
$45+$100=$145
Therefore, Kadeesha would have to pay $145 if she went 4 GB over the 10.
Now, let's solve the next problem:
So, for this problem we are going to find the amount it wil be in other various amounts. To do this we will create a chart /table
$45 ------> 10GB
$70 -----> 11 GB
$95 ----> 12 GB
$120 ---> 13 GB
$145 ---> 14 GB
$170 ---> 15 GB
and so on....
but here we can see any given amount will be her usual Phone bill amount ($45), with the 10 GB and an additional $25 for every added GB.
if something is unclear, or seems wrong just let me know!
I hope this helps:)
7. Kya picks up where she left off in her book and starts reading. After 2 hours, she's on page 195. After reading for 4 hours that day, she's on page 297. Write an equation to represent how many pages Kya reads per hour.
I did the equation= y=51x+93
There are a total of 399 pages in the book. How many more hours does Kya have left to read? PLEASE HELP WILL THIS PART I DONT UNDERSTAND
Answers
Answer:
Step-by-step explanation:
Work for finding the equation, feel free to skip it:
So first off, to write the equation, we will use an equation in slope intercept form: y = mx + b, where y is the numbers of pages she has read, m is the number of pages she reads per hour, x is the number of hours she read, and b is the number of pages she has already read.
To find the slope(The number of pages she reads per hour), we can subtract the number of pages she had read at 2 hours from the number of pages she had read at 4 hours:
297 - 195 = 102.
This tells us she read 102 pages over 2 hours. Thus, over 1 hour, she had read 102/2 = 51 hours. This is m. So our equation so far is y = 51x + b
To find b, we can take 195(the pages she had read after 2 hours), and subtract it by the pages she can read over 2 hours(51 * 2), giving us the amount of pages she had already read(b):
195 - (51*2) = 195 - 102 = 93.
So our equation is:
y = 51x + 93.
Work for finding how many hours it will take Kya to read the whole book:
Y is the total number of pages Kya has read when we plug in x hours. However, if we already know the total number of pages in a book, we can plug in that number for Y, and then solve for x to find how many hours it takes for Kya to read the book:
399 = 51x + 93
Subtracting 93 from both sides gets us:
51x = 306
=
x = 6
This means it takes 6 hours for Kya to read the whole book.
Since Kya has already been reading for 4 hours, the time she has left is:
6-4 = 2
So it takes Kya 2 more hours to finish reading the 399 pages in the book.
Hope this helps!
Justin surveyed 280 of the students in his school about their favorite color. 98
students said their favorite color was blue. What percentage of the surveyed students
said their favorite color was blue?
Answers
Answer:
[tex] \frac{98}{280} \times \frac{100}{1} [/tex]
[tex]0.35 \times 100 \\ = 35\%[/tex]
In a '15% off sale, Freya bought a DVD player for £179. 99. What was the original price of this
DVD player?
Answers
The original cost of the DVD player is $ 211.75.
Calulating Original price:
To calculate the original price of an item in case of giving a discount we can use the following formula
Original Price = Selling Price / (1 - Percentage Discount/100)
(Or)
We can calculate the original price by taking a variable as the cost of the item as given below
Here we have
In a '15% off sale, Freya bought a DVD player for £179. 99
Let 'x' be the cost of the DVD player
Then the cost of the DVD player after giving a 15% discount
= x - 15% of x
= x - (15/100) x
= x - 0.15x
= 0.85x
Given that
Freya bought a DVD player for £179. 99
=> 0.85x = 179. 99
=> x = 211.75
Therefore,
The original cost of the DVD player is $ 211.75.
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Susan earns $10 per hour tutoring elementary students in math. She also earns $15 per
hour cleaning in the library. Her goal each week is to earn at least $240 while working no
more than 20 hours.
Let e represent the number of hours Susan works in one week tutoring elementary students,
and let c represent the number of hours Susan works in one week cleaning the library.
Which inequalities represent Susan's weekly goal of earning money?
Answers
Inequalities represent Susan's weekly goal of earning money are:
c + e ≤ 20
15c + 10e ≥ 240
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
Given that,
Susan earns $10 per hour tutoring elementary students in math.
She also earns $15 per hour cleaning in the library.
Her goal each week is to earn at least $240 while working not more than 20 hours.
Thus, the equation of inequality:
c + e ≤ 20
15c + 10e ≥ 240
Here, e represent the number of hours Susan works in one week tutoring elementary students.
c represent the number of hours Susan works in one week cleaning the library.
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Can some help me with my delta math assignment I need help I’m failing this class bad and the school is almost over lol.
Answers
Answer:
SURFACE ARE: 1068.14
Lateral surface area: 439.82
Step-by-step explanation:
A=2πrh+2πd=2×π×10×7+2×π×1000=1068.14
Al= 2drh=2×π×10×7≈439.82
Solve the equation t − 3 = 17 for t.
−20
20
−14
14
I already searched the question and none of the answers I saw were an option.
Answers
The equation can be solved by adding 3 to both sides of the equation.
Solve the equation t − 3 = 17 for t?To solve the equation t − 3 = 17, we need to add 3 to both sides of the equation. Doing so, we get t = 17 + 3 = 20. Therefore, the value of t is 20.In this case, the variable is t. The equation t - 3 = 17 has 3 subtracted from t on the left side, so to isolate t, we must add 3 to both sides to make the equation equal. Once we do this, we are left with t = 20.The equation t − 3 = 17 is an equation with a single variable, t.The equation t - 3 = 17 is a simple algebraic equation that can be solved by performing the inverse operation of subtraction. To solve this equation, we must first add 3 to both sides of the equation.Therefore, the solution to the equation t - 3 = 17 is t = 20.The equation can be solved by adding 3 to both sides of the equation. When 3 is added to the left side of the equation, it cancels out the -3, leaving just t. When 3 is added to the right side of the equation, it increases the value of the right side from 17 to 20. Therefore, the equation t − 3 = 17 can be solved by adding 3 to both sides, which results in the equation t = 20.This means that the value of t is 20.To learn more about the value of the unknown variable refer to:
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At SaveRite, a 4-ounce carton of juice costs $0.85 and a 16-ounce carton costs $2.70. Which size carton would you buy to pay the least amount per ounce?
Answers
Answer:
16-ounce carton
Step-by-step explanation:
you divide by the cost by the amount of ounces per cent and when buying the 4 ounce one is 21 cents per ounce while the 16 ounce one is 16 cents per ounce
How do you find the coordinates of a point example?
Answers
To find the coordinates of a point in a coordinate system, do the inverse. Start at the point and trace a vertical line up or down to the x-axis. There you have your x-coordinate. Then repeat the process, but this time follow a horizontal line to determine the y-coordinate.
A point is identified by its ordered pair of (x, y). The first number represents the x-coordinate, while the second represents the y-coordinate.
To graph a point, you draw a dot at the coordinates of the ordered pair. It's usually a good idea to begin at the beginning.
An ordered pair of integers, such as an x-coordinate, which is a number on the x-axis, and a y-coordinate, which is a number on the y-axis, can be used to identify each point. Parentheses are used to indicate ordered pairings (x-coordinate, y-coordinate). The starting point is at (0,0).
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what is 0.133 with a bar over 33
Answers
Answer:
2/15
Step-by-step explanation:
make x= 0.13
multiply it by 10^1 .
10x = − 1.33
subtract x from 10x
10x−x =
1.33 - 0.13
9x = 1.2
divide both sides by 9 to get x as a fraction
x = 1.2/9 =
12/90 =
2/15
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A bar over a digit in a decimal number, such as 0.133 with a bar over the 3, indicates that the number is a repeating decimal. In this case, 0.133 is a repeating decimal and the digit 3 is repeating infinitely.
What is repeating decimal?A repeating decimal is a decimal number whose digits are periodic and repeat infinitely. They are also called recurring decimals. For example, 0.333... is a repeating decimal, with the digit 3 repeating indefinitely. The same goes for 0.666... and so on. They can also be represented in the form of a fraction, where the numerator is the repeating decimal and the denominator is a power of 10 with a 1 followed by as many zeroes as the number of digits in the repeating block. Repeating decimals can also be represented with a bar over the repeating block of digits, for example 0.133 with a bar over the 3, indicating that the digit 3 is repeating infinitely. It's also written as 0.133(3) where (3) means the repeating decimal. Another way is to use a dot above the repeating digit.To learn more about decimal refer:
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