The $315 cost of the couch after tax, gives the cost before tax, C, as the following equation;
[tex]Cost \: before \: tax, \: \: \mathbf {C} = \frac{315}{1 + t} [/tex]
How can the cost before tax be expressed?The cost of the couch with tax = $315
Let, t, represent the tax rate, and let C, represent the cost before tax, we have;
315 = C + C × t
315 = C × (1 + t)Which gives;
The cost of the couch before tax, C = 315/(1 + t)Mathematically, we have the following equation;
[tex]Cost \: before \: tax, \: \: \mathbf {C} = \frac{315}{1 + t} [/tex]
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Garland has 9/10
of a pizza, the pizza needs to be equally divided between garland and her five friends. What fraction
of the pizza will each friend get?
Answer:
9/50
Step-by-step explanation:
We simply divide the pizza we have (9/10) by the number of friends (5):
9/10 : 5 = 9/50
PLEASE HELP IM STUCK
The number of outcomes possible from flipping each coin is 2, therefore;
The expression that can be used to find the number of outcomes for flipping 4 coins is: 2•2•2•2How can the expression for the number of combinations be found?The possible outcome of flipping 4 coins is given by the sum of the possible combinations of outcomes as follows;
The number of possible outcome from flipping the first coin = 2 (heads or tails)
The outcomes from flipping the second coin = 2
The outcome from flipping the third coin = 2
The outcome from flipping the fourth coin = 2
The combined outcome is therefore;
Outcome from flipping the 4 coins = 2 × 2 × 2 × 2
The correct option is therefore;
2•2•2•2
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3. What kind of triangle is represented by the triangle shown below?
Isosceles
Right
O Equilateral
Scalene
Answer:
c
Step-by-step explanation:
In geometry, an equilateral triangle is a triangle in which all three sides have the same length.
Please help me solve this, random answers will be removed
Answer:
m∠B ≈ 70.8°
Step-by-step explanation:
The Law of Cosines relates three sides of a triangle and the angle opposite one of them.
SetupThe law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Solving for angle B, we get ...
B = arccos((a² +c² -b²)/(2ac))
where 'a' and 'c' are the sides adjacent to the angle of interest. We want angle B, so we can fill this formula as follows:
B = arccos((13² +11² -14²)/(2·13·11))
SolutionB = arccos(94/286)
B ≈ 70.812°
__
Additional comment
Another angle can be found using the Law of Sines.
A = arcsin(sin(70.812°)×13/14) ≈ 61.281°
Then angle C is ...
C = 180° -70.812° -61.281° = 47.907°
Thirteen-year-old noel was taking her algebra test but was unsure of one of her responses. she decided to go with the answer that felt the ""most right."" this is an example of?
The concept exhibited by the thirteen year old who was unsure of one of her responses. she decided to go with the answer that felt the ""most right."" is an example of; Intuitive thought.
What is the concept exhibited by the thirteen year old as given in the task content?It follows from the task content that the thirteen year old was unsure of one of her responses. she decided to go with the answer that felt the ""most right."".
Such concept may be attributed to Intuitive thought.
This follows from the fact that the internal impulse which prompts individuals to make decisions is termed; Intuition.
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A small pizza has an area of 730 square centimeters.
Write an inequality that describes p, the area of a
pizza that is larger than a small pizza.
The inequality that describes p, the area of a pizza that is larger than a small pizza 730 < p
How to determine the inequality
From the information given, we have that;
Area of the small pizza = 730 square centimeters
p = area of the larger pizza
In writing inequality, we have to use the signs
< less than
> greater than
Since p has greater area, we have
730 < p
Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730 < p
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Answer:
the answer is actually p > 730
Step-by-step explanation:
i juts checked on Kahn academy and i got it right..
What is the answer and explain
Answer:
B) 57 is the answer
Step-by-step explanation:
Let's try to make the given figure a parallelogram by extending DE and BA to F.
So now we have a complete parallelogram.
<AEF = 180 - 112 Since they are linear pairs
so, <AEF = 68
Now,
<EAF = 180 - 125 = 55
So, <AFE = 180-68-55 (interior angles of triangle sum up to 180)
<AFE = 57
Opposite angles of parallelogram are equal so,
<AFE = <BCD = 57°
(z+x)² + 4/5x when x = 2 and y = 4
The value of the given function if x = 2 and y = 4 is 37 3/5
Functions and valuesFunctions are expressions used to determine the relationship between two or more variables.
For instance, f(x) is pronounced as the function of x. Given the expression below
(y+x)² + 4/5x
Given the following parameters
x = 2
y = 4
Substitute the given parameters
f(x,y) = (y+x)² + 4/5x
f(2, 4) = (4+2)² + 4/5(2)
f(2,4) = 6^2 +8/5
f(2, 4) = 36 + 8/5
f(2, 4) = 180+8/5
f(2, 4) =188/5
f(2, 4) = 37 3/5
Hence the value of the given function if x = 2 and y = 4 is 37 3/5
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Find the surface area of the figure.
2 m
2 m
11 m
11 m
2 m
5 m
5 m
SA = [? ]m²
Answer:
174m²
Step-by-step explanation:
SA = 2(wl + hl + hw)
= 2(5m x 11m + 2m x 11m + 2m x 5m)
= 2(55m² + 22m² + 10m²)
= 2 x 87m²
=174m²//
Kenton watched 2000 adult men and women board a cruise ship. half of the adults were women. if 20$\%$ of the women and 9$\%$ of the men were wearing sunglasses, what was the total number of men and women wearing sunglasses?
Total number of men and women wearing sunglasses = 290
According to the question,
Total number of men and women = 2000
half of the adults were women = 1/2 × 2000
Number of women = 1000
Number of men = (Total adults) - (Number of women )
Number of men = 2000 - 1000
= 1000
given,
20% of women were wearing sunglasses = 20/100 × 1000
= 200
9% of men were wearing sunglasses = 9/100 × 1000
= 90
Total number of adults wearing glasses = 200 + 90
= 290
What is the percentage?In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction.
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How do I solve “1+2+3+4+5+…100=“
A. 1010
B. 5050
C. 5000
D. 1000
Answer:
5050
Step-by-step explanation:
we know that 100/2 is 50 and 50 x 100 is 5000
so now another 50 is remaining but we can't multiply but add so
1+2+3+4+5...100 = in simple form= 50x100+50=5050//
Mathematics Literacy Graphs Question 1 Homework
1. Independent Variable (x) is the number of toys.
Dependent Variable (y) is the amount.
2. Graph A - Income Graph.
Graph B - Expense Graph.
3. Zandi won't make a profit while selling 5 toys.
4. Zandi must sell 10 toys to reach break-even.
5. Zandi's variable cost per toy is $15.
6. The total cost function is, total cost = 100 + 15x.
1. The independent variable will be the number number of toys marked on the x-axis, whereas the dependent variable will be the amount on the y-axis, as the cost and revenue both depend on the units.
2. Graph A will be Zandi's income as when the unit is 0, the income is 0, whereas graph B is the expense graph as when the unit is 0, still some fixed expenses are generated for example rent.
3. Zandi will make a loss while making and selling 5 toys as the amount on graph B corresponding to 5 toys, that is, the expenses, are greater than the amount on graph A corresponding to 5 toys, that is, the income.
4. The break-even is the point where the income = expense, which on the graph is at the point where the number of toys is 10.
Thus, Zandi must sell 10 boys to reach break even.
5. The variable cost per toy can be found as the slope of the expense graph, m = (400 - 100)/(20 - 0) = 300/20 = 15.
Thus, Zandi's variable cost is $15.
6. Total cost = Fixed cost + a number of units*variable costs.
Thus, the total cost = 100 + 15x.
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how do i graph a rational function in the form t=d/s? as an example i have to graph t=616.5km/40km/h, t=616.5km/25km/h, and t=616.5km/60km/h. any help would be greatly appreciated, i'll rank you brainliest if you help me
By finding some points on the curve and then connecting them.
How to graph the rational function?
Here we have the rational function:
t = d/s
Where t represents time, d distance, and s speed.
We assume that d is a fixed value, then our variables are time and speed.
On the examples, you can see that the value of d is:
d = 616.5km, then we just need to graph the equation:
t = (616.5km)/s
To do so, you can evaluate the function in different values of s, like the points the problem asks to graph, and then connect all these points with a curve.
Doing that, you should get a graph like the one below:
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One large jar and five small jars can hold 26 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam. Use the given matrix equation to solve for the number of ounces of jam that each jar can hold. Explain the steps that you took to solve this problem.
A matrix with 2 rows and 2 columns, where row 1 is 1 and 5 and row 2 is 1 and negative 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is l and row 2 is s, equals a matrix with 2 rows and 1 column, where row 1 is 26 and row 2 is 2.
Using a system of equations, it is found that one large jar holds 6 ounces and one small jar holds 4 ounces.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable l: Weight that a large jar holds.Variable s: Weight that a small jar holds.One large jar and five small jars can hold 26 ounces of jam, hence:
l + 5s = 26, which is the first equation in matrix form.
Then:
l = 26 - 5s.
One large jar minus one small jar can hold 2 ounces of jam, hence:
l - s = 2, which is the second equation in matrix form:
Then:
l = 2 + s = 26 - 5s
2 + s = 26 - 5s
6s = 24
s = 4.
l = 26 - 5s = 6.
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A newspaper article claimed: "the average cost of weekly groceries is $124.50." what statistical measurement are they most likely claiming?
The average cost of weekly groceries exists at $124.50." The statistical measurement exists they most probably claim exists mean.
What is mean?The arithmetic mean of a given data exists as the totality of all observations divided by the number of observations.
For instance, a cricketer's scores in five ODI matches exist as follows:
12, 34, 45, 50, 24.
To estimate his average score in a match, we compute the arithmetic mean of data utilizing the mean formula:
Mean = Sum of all observations/Number of observations
Median
The value of the middlemost observation, acquired after organizing the data in ascending or descending order, exists named the median of the data.
For instance, consider the data: 4, 4, 6, 3, 2. Let's organize this data in ascending order: 2, 3, 4, 4, 6. There exist 5 observations.
Therefore, median = middle value i.e. 4.
Mode
The value which occurs most often in the provided data i.e. the observation with the highest frequency exists named a mode of data.
As per the circumstances we have given the average cost of groceries.
The mean exists also the average sum of data divided by the total number of data.
Therefore, the statistical measurement exists as the mean.
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Question 2(Multiple Choice Worth 2 points)
Based on the graphs of the equations y = -2x + 3 and y=x²-x + 1, the solutions are located at points?
Based on the given graphs and their equations, the solutions will be located at points (-2, 7) and (0, 1).
Where are solutions located?To find the solution to y = -2x+ 3, assume that x is a certain number then solve for y.
Given the options, we can assume that x = -2. Solution is:
= -2(-2) + 3
= 4 + 3
y = 7
Solution point is (-2, 7)
The second equation can be solved by equating x to 0:
y = 0² - 0 + 1
y = 1
Solution point is:
= (0, 1)
In conclusion, the solution points are (-2, 7) and (0,1).
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Please help with all 3 And explain it please so I understand ty
A simultaneous equation refers to two or more equations that are solved at the same time.
What is a simultaneous equation?A simultaneous equation refers to two or more equations that are solved at the same time. Now we shall solve each of the equations;
a. 2x + y = 3 ------(1)
x - y = 4 ------ (2)
x = 4 + y ----- (3)
Substituting (3) into (1)
2(4 + y) + y = 3
8 + 2y + y = 3
8 + 3y = 3
3y = 3 - 8
3y = -5
y = -5/3
Hence;
x - y = 4
x - (-5/3) = 4
x = 4 + 5/3
x = 17/3
b. 2x + 6y =9 -----(1)
x + 3y = 2 ------ (2)
x = 2 - 3y ------ (3)
Substitute (3) into (1)
2( 2 - 3y) + 6y =9
4 - 6y + 6y = 9 (From this stage we can see that it is not possible to solve the quadratic)
c. 6x - 3y = 12 -----(1)
4x + 2y = 10 ---- (2)
12x - 6y = 24 ---- (3)
12x + 6y = 30 --- (4)
Add (3) to (4)
24x = 54
x= 54/24 = 9/4
Hence;
4(9/4) + 2y = 10
9 + 2y = 10
2y = 10 - 9
y = 1/2
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4/5 + 9/10 what is this answer?
[tex]\boldsymbol{\sf{\dfrac{4}{5}+\dfrac{9}{10} } }[/tex]
The least common multiple of 5 and 10 is 10. Convert 4/5 and 9/10 to fractions with denominators of 10.
[tex]\boldsymbol{\sf{\dfrac{4\times2}{5\times2}+\dfrac{9}{10} \ \ \to \ \ Simplify }}[/tex]
[tex]\boldsymbol{\sf{ \dfrac{8}{10}+\dfrac{9}{10} }}[/tex]
Since 8/10 and 9/10 have the same denominator, join their numerators to add them.
[tex]\boldsymbol{ \sf{\dfrac{8+9}{10} \ \to \ \ Add }}[/tex]
Simplify
[tex]\boldsymbol{\sf{ \dfrac{17}{10}= }}\boxed{\boldsymbol{\sf{1\frac{7}{10} }}}[/tex]
A weather balloon holds 2,600 cubic meters of helium. the density of helium is 0.1755 kilograms per cubic meter. how many kilograms of helium does the balloon contain? please round your answer to the nearest whole number. only enter a numerical value in the answer blank.
Answer:
456 kg
Step-by-step explanation:
Mass is the product of volume and density.
Mass of HeThe product of volume and density is ...
M = Vρ
M = (2600 m³)(0.1755 kg/m³) ≈ 456 kg
The balloon contains about 456 kg of He.
Select the correct answer from each drop-down menu. Consider circle C with diameter DE. Diameter shows a circle centered at C. Points D and E lies on the circumference of the circle. Point E is labeled (13, 11) and point D is labeled (minus 3, 3). The equation of circle C is
The equation of circle C with diameter DE is (x - 5)² + (y - 7)² = 80
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The standard equation of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the circle center and r is the radius of the circle.
The diameter of the circle DE is at D(-3, 3) and E(13, 11). Hence the coordinate of point center is:
h = (13 + (-3))/2 = 5
k = (3 + 11)/2 = 7
(h, k) = (5, 7)
[tex]Diameter = \sqrt{(3-11)^2+(-3-13)^2} = 8\sqrt{5}[/tex]
Radius = diameter / 2 = 8√5 ÷ 2 = 4√5
The equation of the circle is:
(x - 5)² + (y - 7)² = (4√5)²
(x - 5)² + (y - 7)² = 80
The equation of circle C with diameter DE is (x - 5)² + (y - 7)² = 80
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The youth group is going on a trip to the State Fair trip cost 63 dollars included in that price is 13 dollars for a concert ticket in the cost of 2 passes, one for the rides and one for the game booth. Each of the passes cost the same price, write an equation representing the cost of the trip, and determine the price of one pass, solve your equation by showing your work and steps.
Answer:
The cost of one pass is 25$
Step-by-step explanation:
Call the cost of one of the passes, P. So we have
63 = 13 + 2P - subtract 13 from both sides
50 = 2P - divide both sides by 2
25 = P
So the cost of one pass = $25
PLLELELELELLEASEEEEE T_T
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
let's solve ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{7}{2a} + \cfrac{9}{10} = \cfrac{5}{12a} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{7}{2a} - \cfrac{5}{12a} = - \cfrac{9}{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{7(6) - 5}{12a} = - \cfrac{9}{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{42 - 5}{12a} = - \cfrac{9}{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: 37(10) = - 9(12a)[/tex]
[tex]\qquad \sf \dashrightarrow \: 370 = - 108a[/tex]
[tex]\qquad \sf \dashrightarrow \: a = - \cfrac{370}{108} [/tex]
[tex]\qquad \sf \dashrightarrow \: a = - \dfrac{185}{54} [/tex]
DOES ANYONE KNOW THE ANSWER TO QUESTION 6
Answer:
HL
Step-by-step explanation:
The hypotenuses and the long legs of the right triangles are congruent, therefore using the rule HL, the triangles are congruent.
C=22°, a = 14 m, b = 8 m find area of ABC to the nearest tenth
Answer:
21.0 m²
Step-by-step explanation:
The formula for the area of a triangle from two sides and the included angle is ...
A = 1/2ab·sin(C)
AreaUsing this formula, we find the area to be ...
A = 1/2(14 m)(8 m)sin(22°) = 21.0 m²
The area of triangle ABC is about 21.0 square meters.
The sum of the squared deviation scores is s = 20 for a population of n = 5 scores. what is the variance for this population?
A. 4
B. 5
C. 80
D. 10
the volume of cylinder is 448 pie cm cube and height 7 cm find its radius
Answer:
[tex]r =\bf 8 \space\ cm[/tex]
Step-by-step explanation:
The formula for volume of a cylinder is as follows:
[tex]\boxed{Volume = \pi r^2 h}[/tex]
where:
• r = radius (? cm)
• h = height (7 cm).
Substituting the values into the formula:
[tex]448 \pi = \pi \times r^2 \times 7[/tex]
Now solve for [tex]r[/tex]:
⇒ [tex]r^2 = \frac{448 \pi }{\pi \times 7}[/tex]
⇒ [tex]r = \sqrt{64}[/tex]
⇒ [tex]r =\bf 8 \space\ cm[/tex]
[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]
Given:
[tex]\longrightarrow\bold{Volume= 449 \pi cm^3}[/tex][tex]\longrightarrow\bold{Height= 7cm}[/tex][tex]\longrightarrow\sf{V= \pi r^2 h}[/tex]
[tex]\longrightarrow\sf{448 \pi= \pi r^2 \cdot 7}[/tex]
[tex]\longrightarrow\sf{448=
7r^2}[/tex]
[tex]\longrightarrow\sf{r^2= \dfrac{448}{7} }[/tex]
[tex]\longrightarrow\sf{r^2=64}[/tex]
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
[tex]\longrightarrow\sf{r= 8cm}[/tex]
Please help!! Which figures demonstrate a single translation?
Select each correct answer.
Answer:
the top 2 and the left bottom corner
Step-by-step explanation:
the first one in the first row is a reflection
the second one in the first row is a rotation
the one on the left bottom corner just moved a unit
Answer:
Option 3
Step-by-step explanation:
The first answer is a reflection across the y-axis, the second is a rotation, and the last one is two translations. So, the third one is correct because it's the only single translation.
HELP Given the set of all odd integers from 1 to 81, what is the probability
of choosing a number that is a multiple of 9?
If you enter your answer as a decimal, round to the thousandths place.
Using it's concept, the probability of choosing a number that is a multiple of 9 is of 0.111.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
From 1 to 81, there are 81 numbers, of which 81/9 = 9 are multiples of 9, hence, considering that 81 is the number of total outcomes and that 9 is the number of desired outcomes, the probability is given the following division:
p = 9/81 = 1/9 = 0.111.
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Students are measuring various objects around the classroom. A pencil measures 8 ⅜ inches while a pair of scissors measures 5 ½ inches. How much longer is the pencil than the pair of scissors?
The pencil is longer than the pair of scissors by [tex]2\frac{7}{8}[/tex] inches.
A pencil measures [tex]8\frac{3}{8}[/tex] inches.
A pair of scissors measures [tex]5\frac{1}{2}[/tex] inches.
We need to find the difference between the measures of a pencil and the scissors.
We see that the pencil measure is greater than the pair of scissors.
What is a mix fraction?A fraction is a part of a whole number. It has two parts - numerator and denominator.
Example: If you cut a cake into three slices each slice is 1/3.
Where 1 = numerator and 3 = denominator.
Four types of fractions:
Unit fraction - when the numerator is 1.
Proper fraction - When the numerator is less than the denominator.
Improper fraction - When the numerator is greater than the denominator.
Mixed fraction - When the fraction contains a whole number with a proper fraction.
Example: [tex]3\frac{1}{3}[/tex]
The given measure of the pen and the pair of scissors is in mix fraction.
The pencil measure is longer than the pair of scissors measure so,
We will subtract the measure of the pair of scissors from the measure of the pen.
We have,
= [tex]8\frac{3}{8} - 5\frac{1}{2}[/tex]
We can write the mix fraction into an improper fraction.
We multiply the denominator with the whole number and add this product with the numerator to get our numerator of the improper fraction. The denominator will remain the same as the mix fraction in the improper fraction.
So,
[tex]8\frac{3}{8}=\frac{(8\times8)+3}{8}=\frac{64 + 3}{8} = \frac{67}{8}\\ 5\frac{1}{2} =\frac{(5\times2)+1}{2}= \frac{(10+1)}{2} = \frac{11}{2}[/tex]
= 67/8 - 11/2
= (67-44) / 8
= 23 / 8
Writing in mix fraction.
= [tex]2\frac{7}{8}[/tex]
Thus the pencil is longer than the pair of scissors by [tex]2\frac{7}{8}[/tex] inches.
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A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:
rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 8 ft, rectangle inside labeled closet with length of 8 ft and width of 4 ft, the rest of the rectangle is labeled floor
Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).
The correct equation that shows the area of painted area is
A=[tex]x^{2} -8x-16[/tex].
Given that the length of the floor,x,is atleast 12 feet.The width of the floor is 4 feet less than the length.There is a right angle of height x-4 and base 8 feet. The rectangle inside has length of 8 feet and width be 4 feet.
We are required to find the painted area of the theater room in square feet.
To find the painted area of the theater the following steps must be followed:
1) Find the area of the theater room.
length =x
Breadth=x-4
Area=x(x-4)
=[tex]x^{2} -4x[/tex]
2) Area of the right triangle.
Height=x-4
Base=8
Area=1/2 *8*(x-4)
=4(x-4)
=4x-16
3) Find the area of the rectangle inside labeled closet.
Length=8
Width=4
Area=8*4
=32
Area=Area of theater room-Area of of right triangle-Area of closet.
=[tex]x^{2} -4x[/tex]-4x+16-32
=[tex]x^{2} -8x-16[/tex]
Hence the correct equation that shows the area of painted area is
A=[tex]x^{2} -8x-16[/tex].
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Answer:
A = x(x − 4) − 0.5(8)(x − 4) − 3(7)
Work:
x = length, making the width (x-4)
The stage closet will be (x-4)(8)(1/2)
The rectangle is 7(3)
which makes the painted area x(x-4) - 4(x-4)
thus giving us
x(x − 4) − 0.5(8)(x − 4) − 3(7)
Step-by-step explanation:
hope this helps :)