Answer:
Step-by-step explanation:
let length=l
breadth=b
l×b=660
2(l+b)=104
l+b=104/2=52
b=52-l
l×(52-l)=660
52l-l²=660
l²-52l+660=0
l²-22l-30l+660=0
l(l-22)-30(l-22)=0
(l-22)(l-30)=0
l=22,30
when l=22,b=52-22=30
when l=30,b=52-30=22
l>b
so l=30m
b=22m
Answer:
W = 22 m
L = 30 m
Step-by-step explanation:
given:
area is 660square metre and perimeter is 104metre
find:
the length and breadth of a rectangular plot
----------------------------------------------------------------
1. area of rectangle (A) = L x W
2. Perimeter of a rectangle (P) = 2L + 2W
where:
A = 660 m²
P = 104 m
solve for L using formula 1.
A = L x W
660 = L x W
L = 660 / W
solve W using formula 2 and use L = 660 / W
P = 2L + 2W
104 = 2 (660) + 2W
W
104W = 1320 + 2 W²
-2W² + 104W = 1320
solve W using quadratic equation:
W = 22 m; ( 30 m = L)
plugin W=22 into L = 660 / W to solve L:
L = 660 / 22
L = 30 m
Which statement is NOT true? *
A. Every integer is a real number.
B Every counting number is an integer
C Every integer is a rational number
D Every decimal number is an irrational number.
Answer:
D. Every decimal number is an irrational number.
Step-by-step explanation:
As long as a decimal repeats or terminates, it is a rational number.
the sum of two consecutive integers is 99. Find the value of the smaller integer. (Show work)
Answer:
49.5
Step-by-step explanation:
99/2=49.5
Mathematics Diagnostic Assessment
14
Miller inventoried the batteries in his house. The two-way table below shows the data he collected.
AA
Total
29
18
AAA
11
14
Disposable
Rechargeable
Total
7
21
25
25
Ihs 50
Which correlation does the two-way table suggest?
A. The rechargeable batteries tend to be AAA.
B. None of the correlations listed are correct.
C. The rechargeable batteries tend to be AA.
D. The disposable batteries tend to be AAA.
tum. All rights reserved,
e here to search
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Answer:
The rechargeable batteries tend to be AAA.
Step-by-step explanation:
Have a good day :)
Which ratio is equivalent to the ratio 28:48
Answer:
7:12
It is 7:12 because we divide by 4.
28 ÷ 4 = 7.
48 ÷ 4 = 12.
Now, you have a final answer 7:12.
Answer:
7:12
Step-by-step explanation:
Divide each side by four.
Answer is 7:12
Hope this helps! :) Let me know if it does.
I Need help asap. PLZ
Answer:
x = 12
Step-by-step explanation:
The 2 given angles are same- side interior angles and are supplementary, thus
9x - 4 + 5x + 16 = 180, that is
14x + 12 = 180 ( subtract 12 from both sides )
14x = 168 ( divide both sides by 14 )
x = 12
F(x)=(x-2)^2
Evaluate for f(5)
Need Answers ASAP
Answer:
f(5) = 9
Step-by-step explanation:
To evaluate f(5) substitute x = 5 into f(x), that is
f(5) = (5 - 2)² = 3² = 9
Answer:
f(5) = 9Step-by-step explanation:
f(x) = ( x - 2)²
To find f(5) substitute the value of x that's 5 into f(x). That's for every x in f (x) replace it with 5
That's
f(5) = ( 5 - 2)²
= 3²
We have the final answer as
f(5) = 9Hope this helps you
What is 1 x 10^3 in standard form? Show work of how you did it please :)
Answer:
1×10^3 = 1000
Step-by-step explanation:
so basically its 1×10×10×10
The standard form of the given scientific notation is 1000.
The given scientific notation is 1×10³.
What is the standard form of a number?The standard form means the process of writing very large expanded form of a number into small form or small number.
Now, the standard form of 1×10³ is
1×1000
= 1000
Therefore, the standard form of the given scientific notation is 1000.
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need help... so lost
Answer:
4
Step By Step Explanation:
Hope it helps
Keyani went to the store with a $50 bill. She bought three pounds of turkey for $7.25 per
pound, and a certain number of packs of bread rolls, r, for $3.50 per pack. She receives $10
in change
The table below shows the number of school absences each day.
A 2-column table with 6 rows. Column 1 is labeled Day (x) with entries 1, 2, 3, 5, 6, 7. Column 2 is labeled Absences (y) with entries 10, 6, 2, 10, 6, 2.
Which equation models the data in the table?
y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
y = 2 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
Answer: A
Step-by-step explanation:
The equation that models the data in the table is:
y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6 (Option A)
What is a mathematical model?A mathematical model is a typification of a physical system with the use of Mathematical concepts, tools, and elements.
This process is called mathematical modeling.
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Instrument Panel
Identify instruments and gauges on the instrument panel of your family car or that of a friend and
list below.
What property is m+7=7+m
Answer:
Commutative propertyStep-by-step explanation:
The "Commutative Laws" say that when we add then we can swap numbers over and still get the same answer.
What is the perimeter of quadrilateral ABCD?
Round decimal answers to the nearest hundredth.
Ty
4-
A
Can someone please help me understand this/ help!!!!
Answer:
22.13 units
Step-by-step explanation:
P(ABCD) = AB + BC + CD +AD
P = √(AF²+FB²) + 3 + √(CE²+DE²) + 9P = √(4²+4²) + √(4²+2²) + 12P = √32 + √20 + 12P = 4√2 + 2√5 + 12P = 5.66 + 4.47 + 12P = 22.13 unitshow does slope affect a linear graph??
Answer:
With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right.
hope this helps
Step-by-step explanation:
which segment is longer, please explain
Answer:
Blue, if you look, they both are close, but due to the pathagrium theory blue is longer.
Step-by-step explanation:
Answer:
Red is longer
Step-by-step explanation:
With the distance equation formula, you can find this. The distance equation formula is d=[tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} } \\[/tex]. (x1,y1)(x2,y2) are the coordinates of each individual point.
If you turn the grid into a graph, red's points would be (0,0)(3,3)
Blue's points would be (0,3)(-1,-1). Using the distance formula blue is [tex]\sqrt{17}[/tex].
The red is [tex]\sqrt{18}[/tex], so red is longer.
Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?
Answer:
Step-by-step explanation:
1/2
Write 0.12 as a fraction.
Let x = ?
100x = ?
100x - x = ? - ?
99x = ?
X = ?
Answer:
Let 0.12 be x.
Here, x is recurring in two decimal places so we'll multiply it by 10-
10x = 1.22Now, by subtracting them-
[tex] \\ \implies \sf \: 10x - x = 1.22 - 0.12 \\ \\ \\ \implies \sf \: 9x = 1.1 \\ [/tex]
Now, we'll divide both sides by 9 to get x as a fraction -
[tex] \\ \implies \sf \: x = \frac{1.1}{9} \\ \\ \\ \star \: \large{ \boxed{ \sf{x = \frac{11}{90} }}} \\ [/tex]
1/5(6+3+1)^2
Need answer asap
Given f(x) = 5x - 4, find f(2).
Answer:
6
Step-by-step explanation:
f(x)=5x-4
f(2)=5(2)-4
10-4=6
Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour
Answer:
5/1 is the rate
Step-by-step explanation:
for every hour, joe reads 5 chapters
Answer:
just divide 30 by 6 which is 5
Step-by-step explanation:
Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f? m∠4 = 110° and m∠3 = 70° m∠1 = 110° and m∠2 = 110° m∠1 = 110° and m∠3 = 70° m∠2 = 110° and m∠3 = 110°
Answer:
its c
Step-by-step explanation:
Answer:
C. m∠1 = 110° and m∠3 = 70°
Step-by-step explanation:
as the other person said :)
which represents the slope of a line that is parallel to a line with a slope of -2
Answer:
One with a slope of -2 and different y-intercept
e.g. y = -2x + 3
Write an expression for the sequence of operations described below. subtract c from the difference of 7 and 6 (slightly confused help me qwq)
The differenceeof two numbers is just another name for subtraction.
c - (7 - 6)
We can even simplify this expression further.
c - 1
do you divide or multiply for w in the equation A = lw
Answer:
Multiplication
Step-by-step explanation:
This looks like the equation for the area of a rectangle.
Area = Lenght * Width
Given that the "l" variable and the "w" variable or next to each other without '/' or '\' , then we can safely say this a multiplication operation.
If there is no symbol between variables, it is assumed to be short-hand for multiplication instead of writing '*', '.', or 'x' in-between the variables.
Cheers.
How does the 2 in the hundredths place compare to the 2 in the thousandths place?
Answer:
2 in the hundredths place is greater
Step-by-step explanation:
2 in the hundredths place is 10 times the thousands place
Please help xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Answer:
thta is confusing try google
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Mario and his family are discussing how to pay for his college
education. The cost of tuition at the college that Mario wants to attend is
$7,500 per year. Mario's parents will pay 60% of the tuition cost every
year, and Mario will pay the rest. Mario has two years to save enough
money to attend his first two years of college. What is the minimum
amount of money he should save every month in order to reach his goal?
Answer:
$250 per month for 2 years
Step-by-step explanation:
the unit digit of square of the square of the number 42 is
Evaluate this expression |-9|
Answer:9
Step-by-step explanation:
The distance between-9 and 0 is 9.
Step-by-step explanation:
|-9| = 9 , since the absolute value of every negative number is a positive number
if y varies directly with x, and y = -20 and x = 5, what is x when y = -30
Answer:
7.5
Step-by-step explanation:
The value of x = 7.5 when y = -30
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Given that y varies directly with x, and y = -20 and x = 5,
To determine the value of x = 7.5 when y = -30
Direct variation equations can be written as:
y = kx where "k" is a constant.
Substitute the values of y = -20 and x = 5 in the direct variation equation and solve for k:
⇒ -20 = 5k
⇒ k = -20/5
⇒ k = -4
The direct variation equation :
⇒ y = -4x
Substitute the values of y = -30 in the above equation and solve for x:
⇒ -30 = -4x
⇒ 4x = 30
⇒ x = 30/4
⇒ x = 7.5
Thus, the value ofx = 7.5 when y = -30
Learn more about the equation here:
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