Answer:
The length of the parking lot is 89metres
Step-by-step explanation:
Area of a rectangle = Lenght × Breadth
[tex]7031 {m}^{2} = x \times 79m \\ divide \: both \: sides \: by \: 79 \\ x = \frac{7031}{79} \\ x = 89m[/tex]
The perimeter of a rectangle is 24 m. The length is 3 m more than two times the width. Find the
length and the width of the rectangle.
Answer: l=2w+3
Step-by-step explanation:
3(x-6)-8x=-2+5(2x+1)
Answer:
x=-21/15
Step-by-step explanation:
3x-18-8x=-2+10x+5
-5x-18=10x+3
15x=-21
x=-21/15
Please help me please please please!!!!
Step-by-step explanation:
total number of people are 40
take teach takeaway category and divide it by 40
eg)3÷40 / 11÷40
since there are 360⁰ in a circle, multiply your answer by 360 to get your angle
(3÷40)×360 = a
(11÷40)×360 = b
(9÷40)×360 = c
(2÷40)×360 = d
(15÷40)×360 = e
those are your angles. use a protractor to measure the angles
note : if all your angles add up to 360 the you've done everything correctly
The point (7, 8) in the coordinate plane represents a ratio. Adela claims that you can find an equivalent ratio by adding the same number to both coordinates of the point. Is Adela correct? Explain. riculum Associates, LLC Copying is not permitted. Lesson 13 Find fo
The verdict on Adela's idea of retaining the same ratio by adding the same number to both coordinates of the point is that; Adela is incorrect.
What is the approach to retaining the same ratio as represented by the coordinate given?It follows from the task content that, Adela claims that you can find an equivalent ratio by adding the same number to both coordinates of the point.
Adela's claim as indicated above is false because, if for instance, 2 is added to both coordinates, then we have; (9, 10).
And, since 9 : 10 is not equivalent to; 7: 8. Adela's claim is incorrect.
On the other hand, to retain the ratio, the coordinates should be multiplied by the same number. For instance by 3; so that we have;
21 : 24 which is equivalent to the ratio, 7 : 8.
The verdict on Adela's idea of retaining the same ratio by adding the same number to both coordinates of the point is that; Adela is incorrect
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solve for y 3x-7y=21
A. y=-3/7x+21
B. y=3/7x-21
C. y=3/7x-3
D. y=-3/7x+3
Answer:
Y = 3/7x-3
Step-by-step explanation:
I don't have an explanation other than the fact I put this into a calculator and this is what it gave me.
Which sequence of transformations can joseph perform to show that figure A and figure B are congruent
Step-by-step explanation:
If rigid transformations can be used to map two shapes onto one another, they are said to be congruent (a sequence of one or more rotations, translations, and reflections). Any series of rigid transformations performed on a triangle results in a congruent triangle.
Let's now analyze rigid transformation.
An isometry, also known as a rigid transformation of the plane, preserves length. Reflections, translations, rotations, and combinations of these three transformations are all considered "rigid transformations".
Example: Congruent shapes include, for instance, the right angle triangle and its preimage.
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What will the result be if you add two negative numbers?
Answer:
When you have two negative signs, one turns over, and they integrate together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
I’m not sure if I did it right
Answer:
you did it right!
Step-by-step explanation:
Can someone help me with this ??
A recipe calls for 20 fluid ounces of milk. If Nita buys a half gallon of milk, how many batches of that recipe can she make?
Show workk
Answer:
3 can be made.
Step-by-step explanation:
There are 64 fl. oz. in half gallon. Using 20 oz per recipe, 64 divided by 20 gives you 3.2.
2. Erica Matthews is married and earns $54,730 per year as a grant writer. Her state's tax rate is 3.5% of
taxable income.
If the income is $54730 and state tax rate is 3.5% then the amount of tax that Erica Matthews needs to pay is $1915.55.
Given that the income is $54730 and state tax rate is 3.5%.
We are required to find the amount of tax that Erica Matthews need to pay.
State Government is basically tax that is levied by state government on the people living in that state.State governments basically use taxpayer dollars to fund road maintenance, law enforcement agencies and other public services.
Income=$54730
Tax rate=3.5%
Tax=54730*3.5/100 (We assumed that full amount is taxable.)
=$1915.55
Hence if the income is $54730 and state tax rate is 3.5% then the amount of tax that Erica Matthews needs to pay is $1915.55.
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40 mi/h to kilometers per hour
Answer:
64.3738 km/h
Step-by-step explanation:
If the polygons are similar, write similar on the blank. If they are not similar, write not similar on the blank. Consider all angles are congruent. First square is 5 by 7 by 5 by 7, the second square is 2.5 by 3.5 by 2.5 by 3.5
Can a table 9 feet wide (legs folded) fit through a rectangular doorway 4 feet by 8
Yes , it is possible to fit a table 9 feet wide through a rectangular doorway 4 feet by 8.
The Pythagorean theorem states, "In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides." The sides of this triangle were called the perpendicular, the base, and the hypotenuse. Here, the hypotenuse is on the opposite side of the 90° angle, so it is the longest side. The sides of a right triangle (a, b, c, etc.) with positive integer squared values are put into the equation, also known as the Pythagorean triple. which is given by [tex]c^2=a^2+b^2[/tex] here “a” is the perpendicular, “b” is the base, “c” is the hypotenuse.A table with folded legs can pass through a rectangular door at an angle of 45°, forming a triangle to which the Pythagorean theorem can be applied.
Let the two sides of the door be the two sides of triangles a and b, then
[tex]c^2=4^2+8^2\\c^2=16+64\\c^2=80\\c=8.94[/tex]
Conclusion: Using the Pythagorean theorem, we know that an 8.94 foot table can pass through the door. And we know that 8.94 ≈ 9
Hence , a 9-feet table can pass through a rectangular door.
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The prom committee is decorating the venue for prom and wants for prom and wants to hang lights above the diagonals of the rectangular room. If DH=44.5, EF=39, and m angle GHF=128 degrees, find GE and m
The length of diagonal GE is 89 units
What is a quadrilateral?
quadrilateral is a plane mathematical closed figure consist of four side and four edges. There are 7 types of quadrilateral.
Trapezium, Parallelogram, Rectangle, Rhombus, Square, Kite.
It is given that :
length of side EF = 39 units
and, DH = 44.5 units
It is known that :
Diagonals of a Rectangle
A rectangle has 2 congruent diagonals, that is the two diagonals are equal to each other.
The diagonals of a rectangle bisects each other into equal segments.
The diagonals of the rectangular room are:
DF and GE
Thus:
DF = GE
DH = 1/2(DF)
44.5 = 1/2(DF)
DF = 2(44.5)
DF = 89
Therefore :
DF = GE = 89
GE = 89 units
Thus, The length of diagonal GE is 89 units.
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(3x-2y). (6xy-³)
I WILL MARK BRAINLY FOR THE RIGHT ANSWER
[tex] \large \bf \implies{18 {x}^{ - 1} {y}^{ - 2}}[/tex]
Step-by-step explanation:[tex] \bf \longrightarrow(3 {x}^{ - 2}y)(6xy^{ - 3}) \\ \\ \bf \longrightarrow3 \times 6 \times {x}^{ - 2} \times {x}^{1} \times {y}^{1} \times {y}^{ - 3} \\ \\ \bf \longrightarrow18 {x}^{( - 2 + 1)}y^{(1 - 3)} \\ \\ \bf \longrightarrow \boxed{ 18 {x}^{ - 1}y^{ - 2}} \: ans.[/tex]
A dealer made a profit of 22.5% by selling a car for GH¢5,880. Find the percentage profit he would have realized if he had sold it for GH¢6,120.
The percentage of profit would be $1,377 if the dealer would have sold the car for $6,120.
What do we mean by percentages?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. It is frequently denoted by the percent sign, "%."One percent (symbolized 1%) is the one-hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given amount. For example, 1% of 1,000 chickens equals 1/100 of 1,000, or 10 chickens; 20% of the quantity equals 20/100 1,000, or 200 chickens.So, we need to obtain 22.5% of $6,120.
Then,
$6,120/100 × 22.561.2 × 22.51,377Therefore, the percentage of profit would be $1,377 if the dealer would have sold the car for $6,120.
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Type an equation for the following pattern.
14x-3y=-2
4x + 5y = 14
solve each system of equations by elimination
Answer:
x = [tex]\frac{16}{41}[/tex]
y =[tex]\frac{102}{41}[/tex]
Step-by-step explanation:
To use elimination I need either the x terms to be inverses of each other or the y terms to be inverses of each other. There are a number of ways to do this. I am going to focus on the y's. If I multiple the first equation through by 5 and the second equation through by 3. I will make equivalent equations that will allow the y terms to be eliminated.
14x - 3y = -2
5(14x - 3y) =5(-2)
70x - 15y = -10
4x + 5y = 14
3(4x + 5y) = 3(14)
12x +15y =42
Add together the 2 bold equations above
70x - 15y = -10
12x + 15y = 42
82x = 32 Divide both sides by 82
x = [tex]\frac{32}{82}[/tex] = [tex]\frac{16}{41}[/tex]
Plug this in either equation to solve for y
y = [tex]\frac{102}{41}[/tex]
-6
-4
-2
6
4
2
2
4 6
f(1) =
Answer:
f(1)= -4
Step-by-step explanation:
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Solve for x 8x + 12 = 2x - 18
Answer:
[tex] \sf \Large x=−5 [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
8x+12=2x−18
Step 1: Subtract 2x from both sides.
8x+12−2x=2x−18−2x
6x+12=−18
Step 2: Subtract 12 from both sides.
6x+12−12=−18−12
6x=−30
Step 3: Divide both sides by 6.
6x/6 = −30/6
x=−5
Step-by-step explanation:
8x + 12 = 2x -18
8x - 2x = -18 - 12
6x = -30
6x/6 = -30÷6
x = - 5
Suppose that a code (similar to a postal code) is of the form LDL DLD, where 'L' is an uppercase letter from A to N (i.e., 14 possible letters) and 'D' is a digit from 0 to 4. Suppose that such a code is randomly generated.
- Find the probability that the code either starts with an 'A' or ends with an even digit (note that 0 is even).
Answer: 47/70
Step-by-step explanation:
Starts with an A ==> 1 possibility out of 14 ==> 1/14
Ends with an even digit from 0-4:
Even digits: 0, 2, 4 ==> 3 possibilities out of 5 ==> 3/5
1/14 + 3/5=
(1/14 + 3/5)*70/70= ==> get rid of different denominators
(1*70/14 + 3*70/5)/70=
(70/14 + 210/5)/70=
(5+42)/70=47/70
47=
\,\,-\frac{x}{11}+43
−
11
x
+43
Answer:
x=−44
Step-by-step explanation:
Rewrite the equation as
−x11+43=47.−x11+43=47
Move all terms not containing
x
to the right side of the equation.
−x11=4
Multiply both sides of the equation by
−11.−11(−x11)=−11⋅4
simplify 20/64 into simplest form
Answer:
Ahmm I guess it is
[tex] \frac{5}{16} \\ [/tex]
Step-by-step explanation:
Cuz I did like
[tex] \frac{20}{64} = \frac{20}{64} \div \frac{2}{2} = \frac{10}{32} = \frac{5}{16} \\ \\ \\ \\ \frac{20}{64} = \frac{20}{64} \div \frac{4}{4} = \frac{5}{16 \\ \\ \\ \\ \\ \\ } [/tex]
so I guess it's correct
Vartan was paid $25,000 for a cell phone app that he wrote and wants to invest it to save for his son’s education. He wants to put some of the money into a bond that pays 4% annual interest and the rest into stocks that pay 9% annual interest. If he wants to earn 7.4% annual interest on the total amount, how much money should he invest in each account?
The circle graph on the right shows the uses of corn production. Use this graph to answer the question. What percent of corn production is used for ethanol or exports?
Answer:
37%
Step-by-step explanation
Reading the graph we see:
The percent of corn production is used for ethanol is 18%
The percent of corn production is used for exports is 19%
Answer the question:
The percent of corn production used for ethanol OR exports is the sum of the two 18%+19% = 37%
VIEW IMAGE
9. The parent or basic absolute value function, f (x)= xl, is transformed to become
1
g(x)= -lal. Which of the following are true about f (x) and g(x)?
The domain of both f (x) and g (x) are all real numbers.
II The graphs of each function are vertical reflections of each other.
III The axis of symmetry of the graphs of both functions is x = 0.
The range of both f (x) and g (z) are all real numbers.
Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have real domains.
What is domain?
The domain is all x-values or function inputs, and the range is all y-values or function outputs. When looking at a graph, the domain is all of the graph's values from left to right. The range includes all of the graph's values from bottom to top.
Here, the options
(I) The domain of both [tex]f(x)[/tex] and [tex]g(x)[/tex] are all real numbers,
(II) The axis of symmetry of the graphs of both functions is [tex]x=0[/tex]
are correct.
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B. Do the following exercises.
Let A = {0, 1, 2, 3, 4, 5} ; B = {0, 1, 5, 6, 9} ; C = {0, 2, 6, 7, 8}
1.) A ∪ B
2.) A ∩ C
3.) A ∪ B ∪ C
4.) A ∩ B ∩ C
Answer:
1) A ∪ B = {0, 1, 2, 3, 4, 5 ,6 ,9}
2) A ∩ C = {0, 2}
3) A ∪ B ∪ C = {0, 1, 2, 3, 4, 5, 6 7. 8. 9}
4) A ∩ B ∩ C = {0}
Step-by-step explanation:
Definitions
Union of two or more sets is the set of elements in all of those sets with duplicates removed. The symbol used is ∪
Intersection of two or more sets is the set of elements common to those sets. Symbol ∩
1) A ∪ B = {0, 1, 2, 3, 4, 5} ∪ {0, 1, 5, 6, 9} = {0, 1, 2, 3, 4, 5 ,6 ,9}
2) A ∩ C = {0, 1, 2, 3, 4, 5} ∩ {0, 2, 6, 7, 8} = {0, 2}
3) A ∪ B U C = (AUB) ∪ C
= {0, 1, 2, 3, 4, 5 ,6 ,9} U {0, 2, 6, 7, 8} = {0, 1, 2, 3, 4, 5, 6 7. 8. 9}
4) A ∩ B ∩ C = {0, 1, 2, 3, 4, 5} ∩ {0, 1, 5, 6, 9} ∩ {0, 2, 6, 7, 8}
= {0}
Answer:
1) A ∪ B = {0, 1, 2, 3, 4, 5, 6, 9}
2) A ∩ C = {0, 2}
3) A ∪ B ∪ C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
4) A ∩ B ∩ C = {0}
Step-by-step explanation:
Set Notation
[tex]\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}[/tex]
Given sets:
A = {0, 1, 2, 3, 4, 5}B = {0, 1, 5, 6, 9}C = {0, 2, 6, 7, 8}Question 1
[tex]\begin{aligned}\sf A \cup B & =\sf \{ 0, 1, 2, 3, 4, 5 \} \cup \{0, 1, 5, 6, 9 \}\\& =\sf \{ 0, 1, 2, 3, 4, 5, 6, 9 \}\end{aligned}[/tex]
Question 2
[tex]\begin{aligned}\sf A \cap C& =\sf \{0, 1, 2, 3, 4, 5 \} \cap \{ 0, 2, 6, 7, 8 \}\\& =\sf \{0, 2 \}\end{aligned}[/tex]
Question 3
[tex]\begin{aligned}\sf A \cup B \cup C& =\sf \{ 0, 1, 2, 3, 4, 5 \} \cup \{0, 1, 5, 6, 9 \} \cup \{0, 2, 6, 7, 8 \}\\& =\sf \{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 \}\end{aligned}[/tex]
Question 4
[tex]\begin{aligned}\sf A \cap B \cap C& =\sf \left(A \cap B\right) \cap \left(B \cap C\right) \\ & =\sf \left(\{ 0, 1, 2, 3, 4, 5 \} \cap \{0, 1, 5, 6, 9 \}\right) \cap \left(\{0, 1, 5, 6, 9 \} \cap \{0, 2, 6, 7, 8 \} \right)\\& =\sf \{ 0, 1, 5 \} \cap \{0, 6 \}\\ & = \sf \{ 0 \}\end{aligned}[/tex]
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Help me understand this pls
The area of the polygon is equal to 10.006 square units.
How to determine the area of a polygon
In this case we find a polygon with four vertices, that is, a tetragon, also called quadrilateral. By geometry we know that quadrilaterals can be armed by uniting two triangles and the area of a quadrilateral is equal to the areas of the two triangles. Hence, the polygon NPQR is the result of combining the triangles NPQ and NQR.
First, determine the lengths of the sides of the two triangles:
NP = √[[3 - (- 2)]² + (1 - 1)²]
NP = 5
PQ = √[(3 - 3)² + [1 - (- 1)]²]
PQ = 2
NQ = √[[3 - (- 2)]² + (- 1 - 1)²]
NQ = √29
NR = √[[- 2 - (- 2)]² + [- 1 - (- 1)]²]
NR = 2
QR = √[(- 2 - 3)² + [(- 1) - (- 1)]²]
QR = 5
Second, calculate the areas of the two triangle:
s₁ = 0.5 · (NP + PQ + NQ)
s₁ = 0.5 · (5 + 2 + √29)
s₁ ≈ 6.193
A₁ = √[s₁ · (s₁ - NP) · (s₁ - PQ) · (s₁ - NQ)]
A₁ = √[6.193 · (6.193 - 5) · (6.193 - 2) · (6.193 - √29)]
A₁ ≈ 5.003
s₂ = 0.5 · (NQ + NR + QR)
s₂ = 0.5 · (√29 + 2 + 5)
s₂ ≈ 6.193
A₂ = √[s₂ · (s₂ - NQ) · (s₂ - PQ) · (s₂ - QR)]
A₂ = √[6.193 · (6.193 - √29) · (6.193 - 2) · (6.193 - 5)]
A₂ ≈ 5.003
A = 5.003 + 5.003
A = 10.006
The area of the polygon is equal to 10.006 square units.
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50 POINTS!!!!
Answer the questions by drawing on the coordinate plane below.
(a) Draw the image of ∆ABC under the dilation with scale factor 3 and the origin as the center of dilation. Label the image ∆A'B'C'. Make sure to include the coordinates of A’, B’, and C’.
(b) Draw the image of ∆DEF under the dilation with scale factor -1/2 and the origin as the center of dilation. Label the image ∆D'E'F'. Make sure to include the coordinates of D’, E’, and F’.
Using dilation rules, the dilated triangle is given at the end of the answer. The coordinates of the vertices are as follows:
A'(-6,6), B'(-3,0), C'(3,6).
What is the rule for a dilation?To dilate a figure by a factor of a, each coordinate of each vertex of the image is multiplied by a, that is, the following rule is applied:
(x,y) -> (ax, ay).
The coordinates of the vertices of ABC are given as follows:
A(-2,2), B(-1,0), C(1,2).
After a dilation with a scale factor of 3, the coordinates of the vertices of A'B'C' will be given as follows:
A'(-6,6), B'(-3,0), C'(3,6).
These coordinates are derived multiplying the coordinates of A, B and C by 3.
The image of the triangle is given at the graph at the end of the answer.
For the image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.
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