The perimeter of a rectangular field is 354m.
If the width of the field is 81m , what is its length?
Answer:
The length of the field is equal to 96 m.
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Geometry
Perimeter Formula [Rectangle]: P = 2l + 2w
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify given.
P = 354 m
w = 81 m
Step 2: Find Length
[Perimeter Formula - Rectangle] Substitute in variables:∴ we have found the length of the field to be 96 meters.
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Topic: Geometry
help me please!!!!!!!!!!!!!
Answer:
0.973
Step-by-step explanation:
Solution
I'm going to discuss one way to do it, and then show a much better way.
If you attack the problem directly, there are 3 ways of placing just 1 day not being late
0.7 * 0.3 * 0.3 = .063
0.3 * 0.7 * 0.3 = .063
0.3 * 0.3 * 0.7 = 0.63
Making it on on time on two days gives you 3 equations as well
0.7* 0.7 * 0.3 = .147
0.7* 0.3 * 0.7 = .147
0.3 * 0.7 * 0.7 = .147
Making it on time all three days
0.7 * 0.7 * 0.7 = .343
If you add add these up, you should get 0.973
There is a better way. First calculate what happens if he is late all three days.
0.3 * 0.3 * 0.3 = 0.027 No on times (.7) anywhere.
If you take 0.027 away from 1, you get 0.973 That takes care of all the times he was on time. Much neater and easier, no?
Please help me I don’t how to do this
Answer:
C. 5f +25
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
The length of the third side is [tex]≈15.7[/tex]
Step-by-step explanation:Note:
Phitagors theorem:
[tex]c^{2}=a^{2}+b^{2}[/tex]
[tex]c: hypotenuse[/tex]
[tex]a: altitude[/tex]
[tex]b: base[/tex]
1) Using Phitagors theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
[tex]c^{2}=14^{2}+7^{2}[/tex]
2) Calculate
[tex]c^{2}=245[/tex]
3) Take the square root of both sides of the equation
[tex]\sqrt {c^{2}}=\sqrt{245}[/tex]
[tex]c=\sqrt{245}[/tex]
[tex]c≈15.7[/tex]
Which statements about the hyperbola are true? check all that apply. the center is located at (0, 0). there is a vertex at (–6, 0). the transverse axis of the graph is vertical. the foci are located within the rectangular reference box. the directrices are vertical lines.
The following claims concerning hyperbola are correct:
The center can be found at (0, 0).At (–6, 0), there is a vertex.Vertical lines serve as directrices.What is a hyperbola, exactly?It's worth noting that a hyperbola is essentially an open curve with two branches.
The center is at (0, 0), the vertex is at (–6, 0), and the directrices are all vertical lines.
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Answer:
1,2,5
Step-by-step explanation:
-7- -13 ( subtracting integers)
Answer:
Looking at the problem we come across one issue where we have two minus signs. However, this issue can be fixed because for example if we multiply -1 by -1 we would just get 1. Therefore these two minus signs cancel out and we put a plus sign so our problem becomes -7 + 13. Now we just combine and we get 6.
Answer:
6
Step-by-step explanation:
[tex](-7)-(-13)\\(-7)+13\\13-7\\6[/tex]
Charles has 24 marbles. He has 6 more marbles than blue marbles. Which equation represents this situation.
LOOK AT THE PICTURE BELOW!
Answer:
n + (n + 6) = 24.
Step-by-step explanation:
Let him have n blue marbles, then he has n + 6 other narbles.
He has a total of 24 marbles, so:
n + (n + 6) = 24.
Answer:
B) n + (n + 6) = 24, where n is the blue marbles
Step-by-step explanation:
^^
what’s the volume of the prism?
Answer:Don’t know I will just get points.Thx
Step-by-step explanation:
Find the area of a circular sector in cm² with angle 15° if the length of the intercepted arc is pi/2 cm
Answer:
0.52cm2
Step-by-step explanation:
l of Arc =tita/360×2πr
15/360×2×22/7×2
what is the volume of an equilateral triangular pyramid with base side length of 9 cm, base
height of 7.8 cm, and height of 5 cm? round your answer to the nearest tenth.
Help with this question please my last question
Answer:
∠A≅∠Z AB≅ZX
∠B≅∠X AC≅ZY
∠C≅∠Y BC≅XY
ΔCBA≅ΔYXZ
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
Let me know if you ever need help !
Simplify the expression. Write your answer as a power.
Answer:
If the question asks to write the answer as a power, it should be the power of 6 without the variable of Z.
(a+4)²-11(a+4)- 42 factorize
[tex](a+4)^2 -11(a+4) -42\\\\=x^2 -11x -42~~~~~~~~~~~~~~~~~~~~~~~~;[a+4 = x]\\\\=x^2 -14x +3x -42\\\\=x(x-14) +3(x-14)\\\\=(x+3)(x-14)\\\\=(a+4+3)(a+4-14)~~~~~~~~~~~~;[\text{Substitute back}~ a+4 =x]\\\\=(a+7)(a-10)[/tex]
Answer:
(a - 10) (a + 7)
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀□ Question(a + 4)² - 11(a + 4) - 42
Fractorize
⠀
⠀
⠀⠀⠀⠀■ Solution⠀
⠀
Let (a + 4) = xSo the equation will be
⠀
[tex] \sf \large {x}^{2} - 11x - 42[/tex]
⠀
⠀
Using spitting the middle term method.⠀
[tex] \sf {x}^{2} - 14x + 3x - 42[/tex]
⠀
⠀
Taking common⠀
[tex] \sf x(x - 14) + 3(x - 14)[/tex]
⠀
[tex] \sf (x - 14)(x + 3)[/tex]
⠀
⠀
Putting value of 'x'⠀
[tex] \sf (a + 4 - 14)(a + 4 + 3) \\ \\ \boxed{ \frak{(a - 10)(a + 7)} } [/tex]
⠀
Tegan is checking her tax bill for the last year.
the tax rates were as follows:
•No tax on the first of £11,000 earnings
•earnings in excess of £11,000 and up to £43,000 taxed at a rate of 20%
•earnings in excess of £43,000 and up to £150,000 taxed at a rate of 40%
last year Tegan earned £48300 before tax
how much tax did she pay in total. please help give you brainiest.
A percentage is a way to describe a part of a whole. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Since there is no tax for the first £11,000, therefore, the earnings which will be taxed,
£48,300 - £11,000 = £37,300
The amount of tax for the income of £11,000 to £43,000, will be,
20% of (£11,000 to £43,000)
= 20% × (£43,000 - £11,000)
= £6,400
The amount of tax for the income of £11,000 to £150,000, will be,
40% of (£43,000 to £48,300)
= 40% × (£5,300)
= £2,120
Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).
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-(6)³;(-6)³
what is the answer to this?
Answer:
Step-by-step explanation:
-(6)³=-6×6×6=-216
(-6)³=(-6)×(-6)×(-6)=-216
What is 10 raised to the second power x2
Answer:
100
Step-by-step explanation:
10 to the second power is 10^2. Therefore, that is 10x10.
This results in 100.
Answer:
100
Step-by-step explanation:
it is 100 because first you have to get 2 10's and times 10 x 10= and that equals 100 so thats how you get 100!
3.
Which is a true statement about two numerical sets of data that have positive
association?
Please, please help. Unit test is due. (K12 User)
△ACB is bisected by CP←→. m∠PCB=65° and PB=11 ft.
What is the approximate area of each half of △ACB ?
28 ft²
56 ft²
67 ft²
143 ft²
The approximate area of each half of △ACB is 28 square feet
Area of a triangleThe formula for calculating the area of a triangle is expressed as:
A = 0.5absintheta
Given the following
PB =11ft
<PCB = 65degrees
Using the SOH CAH TOA identity
tan<PCB = 11/CP
CP = 11/tan65
CP = 5.13 ft
Determine the required area
Area = 0.5(11)(5.13)sin90
Area = 5.5 * 5.13
Area . = 28 square ft
Hence the approximate area of each half of △ACB is 28 square feet
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Eleniz is using her phone all day. her battery life is down to
76 and it drains another 1/9 every hour. how many hours will
the battery last?
Answer:
6.84 hours
Step-by-step explanation:
I will have to assume 100 is fully charged and that it drains 1/9 of 100 for each hour
76 / ( 100 * 1/9) = 6.84 hrs
what is : 96 x 68.43 ?
A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random
bag
What is the probability that the marble drawn will not be blue?
2/9
3/4
7/9
7/8
Answer:
Probability of anything =
(number of possible successful outcomes)
divided by
(total possible number of outcomes) .
There are 36 total marbles in the bag, so there are 36 total
possible outcomes of one draw.
The successful outcomes are all the possible draws that are
not blue. There are 28 of those.
So the probability of a non-blue selection is
28/36 = 7/9 = 77.8% (rounded)
Step-by-step explanation:
Answer:
The probability that a marble ball drawn will not be blue is
[tex] \frac{7}{9} [/tex]
what is 52.56 rounded to nearest hundred
Answer:
100
Step-by-step explanation:
When you round to the nearest hundred you are rounding from three places before the decimal (000.). Anything from 0-49.99 will be rounded down while anything from 50-99.99 will be rounded up.
1/4 how do u get 16 from it show me the calculations
Answer:
It's not possible to get 16 from 1 divided by 4 alone. It will always be 0.25
A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y?
Answer:
Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)
(1, 2): 2=2+b --> b=0
So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation:
Move a number or variable to each line to create the expression.
Answer:
y + 5x + 8
Explanation:
Has three termscoefficient of 5constant of 8Move numbers or variable:
y + 5x + 8
Additional Information:
x + y + 1
This has three terms, coefficient of 1, constant of 1
Answer:
[tex]\huge\boxed{\bf\: x + 5y + 8}[/tex]
Step-by-step explanation:
We need to make an expression using the given conditions. Let's look at them in order.
Condition 1:
If the expression has three terms then let's take the three terms as, x, y & z. Therefore, the expression uoto now = x + y + z.
Condition 2:
Now, the expression has a term with coefficient = 5. Let's put 'y' with coefficient 5 since the second term has two blanks in the question. So, expression = x + 5y + z.
Condition 3:
The expression also has a constant 8. By substituting the value of 'z' with 8 (as 'z' is not given in the options), we get the final expression as → x + 5y + 8.
[tex]\rule{150pt}{2pt}[/tex]
Determine the justification for the steps from the derivation of the quadratic formula. justification of step a: justification of step b:
The justification of step a is common denominator and the justification of step b is multiplication property of equality
How to determine the justifications?The equation is given as:
[tex]a(x + \frac{b}{2a})^2 = -c + \frac{b^2}{4a}[/tex]
Take the LCM
This gives
[tex]a(x + \frac{b}{2a})^2 = \frac{-4ac + b^2}{4a}[/tex]
The above represents a common denominator.
Multiply both sides by 4a
[tex]4a^2(x + \frac{b}{2a})^2 = -4ac + b^2[/tex]
The above represents the multiplication property
Hence, the justifications are common denominator and multiplication property of equality
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Step A: common denominator
Step B: multiplication property of equality
Solve the equation -15=8z+7.
z=
Answer:Hello the Answer to your math problem is attached
Step-by-step explanation:
Which inequality is equivalent to −y≥18?
[tex]\rule{199}{1}[/tex]
Given question:-
Which inequality is equivalent to -y≥18?
Answer and how to solve:-
Divide by -1 on both sides to fully simplify the inequality, which is what we're asked to do.
So we get
y≤-18
Notice that the inequality sign changed.
The inequality sign changes when we divide both sides of an inequality by a negative number.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
The number of sweets in a bag are normally distributed with mean 48 and standard deviation 4.
What is the probability that a bag selected at random contains more than 50 sweets? Give your answer as a decimal correct to 3 significant figures.
Answer:
0.33 recurring
Step-by-step explanation:
assuming alol the fractions are equal, find the total number of possibilities and assign one for each number
slope for (-7, -4) and (8, 8)
Answer:
4/5
Step-by-step explanation: