Answer: number 3 is the answer!!!
Step-by-step explanation:
number 3!!!
1) To find the missing ordered pair of a rectangle, we can use the fact that opposite sides of a rectangle are parallel and equal in length. This means that the x-coordinate of D must be equal to the x-coordinate of A, and the y-coordinate of D must be equal to the y-coordinate of C. Therefore, D(-3, -3).
2) Similarly, we can use the fact that opposite sides of a rectangle are parallel and equal in length. This means that the x-coordinate of H must be equal to the x-coordinate of E, and the y-coordinate of H must be equal to the y-coordinate of F. Therefore, H(0, 0).
3) To find the missing ordered pair of a square, we can use the fact that all sides of a square are equal in length and all angles are right angles. This means that the distance between J and K must be equal to the distance between K and L, which is 4 units. Therefore, the distance between L and M must also be 4 units. Since L has an x-coordinate of 2, M must have an x-coordinate of 2 + 4 = 6. Similarly, since L has a y-coordinate of -2, M must have a y-coordinate of -2 + 4 = 2. Therefore, M(6, 2).
4) To find the missing ordered pair of an isosceles right triangle, we can use the fact that two sides of an isosceles triangle are equal in length and two angles are equal in measure. This means that the distance between P and Q must be equal to the distance between Q and R, which is 6 units. Therefore, R must be 6 units away from Q along the x-axis. Since Q has an x-coordinate of 0, R must have an x-coordinate of 0 + 6 = 6. Similarly, since Q has a y-coordinate of 6, R must have a y-coordinate of 6 - 6 = 0. Therefore, R(6, 0).
Determine if the point is part of the line: y = 7-2x ; (5,1)
To determine if the point (5,1) is part of the line y = 7-2x, we need to substitute x=5 and y=1 into the equation of the line and check if it is a true statement:
y = 7 - 2x
1 = 7 - 2(5)
1 = 7 - 10
1 = -3
Since -3 is not equal to 1, the point (5,1) is not part of the line y = 7-2x.
Find two possible missing terms so that y^2+_+169 is a perfect square trinomial.
The two possible terms are?
Helpppp
Answer: 344
Step-by-step explanation:
Well I dont know
The state transportation commission counted cars traveling east and west across a toll bridge. The commission counted 100 cars, 7 of which were traveling east. What percentage of the cars counted were traveling east?
Answer:
7% of cars traveled east.
if tan theta=-3/2 and 90°
The value of cos Θ /2 and tan Θ /2 can be found to be:
cos Θ /2 = √((1 - √(4/13))/2) tan Θ /2 = √((1 + √(4/13))/(1 - √(4/13)))How to find the cosine and tangent ?We are given that 90° < Θ < 180°, which means that theta would be in the second quadrant.
We can therefore use half - angle formulas to find cos Θ /2 and tan Θ /2.
To find cos Θ /2, we have:
cos(Θ/2) = ±√((1 + cos(Θ))/2)
cos(Θ/2) = ±√((1 - √(4/13))/2)
cos(Θ/2) = √((1 - √(4/13))/2)
To find tan Θ /2, we have:
tan(Θ/2) = ±√((1 - cos(Θ))/(1 + cos(Θ)))
tan(Θ/2) = ±√((1 + √(4/13))/(1 - √(4/13)))
tan(Θ/2) = √((1 + √(4/13))/(1 - √(4/13)))
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The full question is:
Suppose that tan Θ = - 3/2 and 90 °< Θ < 180 °.
Find the exact values of cos Θ /2 and tan Θ /2
The surface area of the side of the cylinder is given by the function f(r) = 6π r, where r is the radius. If g(r) = π r2 gives the area of the circular top, write a function for the surface area of the cylinder in terms of f and g.
Answer: the answer is 24
++||+ +H
2-/-/-
2
2 -/-/-
What fraction is at point M?
2/1/2
OB. 22/
O c. 2/3/20
OD. 21/0
M
1|5
OA.
H
3
The fraction that represents the point M is 2 3/10
Calculating the fraction that represents point MFrom the question, we have the following parameters that can be used in our computation:
The number line
Such that
M is between 2 1/5 and 2 1/2
This means that
M is between 2.2 and 2.5
By the positiining of the points, we have
M = 2.2 + 0.1
Evaluate
M = 2.3
As a fraction, we have
M = 2 3/10
Hence, the fraction is 2 3/10
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The circumference of a circle is 14π cm. What is the area, in square centimeters? Express your answer in terms of
π.
The circumference of a circle is 14π cm. Then, the area of the circle is 49π square centimeters.
The circumference of a circle is the distance around the outer edge of the circle. It is the perimeter or the boundary of the circle. It is calculated by multiplying the diameter or radius of the circle by the mathematical constant pi (π), which is approximately equal to 3.14159.
The formula for the circumference of circle will be C = 2πr, where C is circumference and r is radius. We are given that the circumference of the circle is 14π cm, so we can write;
14π = 2πr
Dividing both sides by 2π, we get;
r = 7
Now we can use the formula for the area of a circle, A = πr², to find the area of the circle;
A = π(7)²
A = 49π
Therefore, the area of the circle will be 49π square centimeters.
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--The given question is incomplete, the complete question is
"The circumference of a circle is 14π cm. What is the area, in square centimeters? Express your answer in terms of π."--
a model car has a scale of 1:100, find the scale length in cm if the car is 4.32m long
Answer: Therefore, the scale length of the model car is 4.32 cm.
Step-by-step explanation:
If the scale of the model car is 1:100, this means that every 1 unit on the model represents 100 units in real life. Let's use x to represent the scale length in cm.
Since the car is 4.32m long in real life, and 1m = 100cm, the length of the car in cm is:
4.32m x 100cm/m = 432cm
According to the scale, 1 unit on the model car represents 100 units in real life. Therefore:
1 unit on the model car = 100 units in real life = 100cm
So we can set up a proportion:
1 unit on the model car / x cm = 100 units in real life / 432 cm
Simplifying this expression, we get:
1 / x = 100 / 432
Cross-multiplying, we get:
x = 432 / 100
x = 4.32 cm
In a class of 31 students 16 play football 12 play it 5 play both games.find the number of students who play at least one of the games. None of the games
A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.
A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 5 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 5 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.
What is the area of the tile shown?
53 cm2
45.5 cm2
42.5 cm2
36.5 cm2
The area of the tile shown is 42.5 [tex]cm^2[/tex]. So, the correct option is (c) 42.5 [tex]cm^2[/tex].
What is area of triangle?
The area of a triangle can be calculated using the formula:
A = (1/2)bh
where A is the area of the triangle, b is the length of the base of the triangle, and h is the height of the triangle.
To find the area of the quadrilateral, we need to split it into two triangles and a rectangle.
First, we find the area of the rectangle: 5 cm × 6 cm = 30 [tex]cm^2[/tex].
Next, we find the area of the left triangle: (1/2) × 5 cm × 3 cm = 7.5 [tex]cm^2[/tex].
Finally, we find the area of the right triangle: (1/2) × 5 cm × 2 cm = 5 [tex]cm^2[/tex].
Adding up the areas of the two triangles and the rectangle, we get:
30 [tex]cm^2[/tex] + 7.5 [tex]cm^2[/tex] + 5 [tex]cm^2[/tex] = 42.5 [tex]cm^2[/tex]
Therefore, the area of the tile shown is 42.5 [tex]cm^2[/tex].
So, the correct option is (c) 42.5 [tex]cm^2[/tex].
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Two angles are supplementary. If the m∠A is five times the sum of the m∠B plus 7.2°, what is m∠B?
°
Answer:
24
Step-by-step explanation:
If two angles are supplementary, they add up to 180.
Let's say m∠A = a and m∠B = b.
[tex]a=5(b+7.2)[/tex]
[tex]a= 5b + 36[/tex]
[tex]a-5b = 36[/tex]
We also still have [tex]a+b=180[/tex]
[tex]a-5b=36\\a+b=180[/tex]
Subtract,
[tex]-6b=-144[/tex]
[tex]b=24[/tex]
one more question till im done! how do I figure this out
Answer:
13
Step-by-step explanation:
5^2+8^2= c^2
25+64=c^2
89=c^2
c=9.4
9.4^2+9^2=c^2
c=170
c=13
Find the 96th term of the arithmetic sequence 1,−12,−25
[tex]1~~,~~\stackrel{1-13}{-12}~~,~~\stackrel{-12-13}{-25}~~,~~...\hspace{5em}\stackrel{\textit{common difference}}{-13} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=1\\ d=-13\\ n=96 \end{cases} \\\\\\ a_{96}=1+(96-1)(-13)\implies a_{96}=1+(-1235)\implies \boxed{a_{96}=-1234}[/tex]
In 1991 there was 1 website. In 1992 there were 10 websites. Work out the percentage change in the number of websites from 1991 to 1992.
The percentage change in the number of websites from 1991 to 1992 is 900%.
Given that,
In 1991 there was 1 website.
In 1992 there were 10 websites.
The formula to find the percentage change is,
Percent change = (New value - old value) / old value
Here,
New number of websites = 10
Old number of websites = 1
Percentage change = (10 - 1) / 1 = 9 = 900%
Hence the percentage change in the number of websites is 900%.
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Which box and whisker plot matches the data?
Answer: B
Step-by-step explanation:
Put the numbers in order from smallest to largest
the first smallest is your first dot at 13
That means D is out because that first dot is at 12
The last dot is 37 which means A is out because thats at 36
C is out because that at 38
B is your answer based on range, to figure out the box part, break up the numbers into quartiles(4 even groups). The middle numbers take the average or 27 and 27 so 27 is you middle box number
the left box is the average of 18 and 20 which is 19
the right box is the average of 31 and 33 which is 32
A farmer has 1,440 feet of fencing available to enclose a rectangular
area bordering a river. No fencing is required along the river. Let x
represent the length of the side of the rectangular enclosure that is
perpendicular to the river. Complete parts a. through c.
The length of the side of the rectangle perpendicular to the river is
c. What is the maximum area?
X
The maximum area is
River
a. Create a function, A(x), that describes the total area of the rectangular enclosure as a function of x, where x is the lem
A(x)=
(Simplify your answer.)
b. Find the dimensions of the fence that will maximize the area.
...
and the length of the side of the rec
Step-by-step explanation:
Maximum area enclosed will be a square enclosure
since the river is one side , the other three sides of the square will be
1440 / 3 = 480 ft long
Square with sides 480 ft
area =480 x 480 = 230 400 ft^2
Help pls fast!!!
The surface area of the threedimensional fugire is Square centimeters
Answer: 536.6 cm²
Step-by-step explanation:
Area for 3 rectangles = bh*3
=(10)(15)(3) = 450
Area for 2 triangles = 1/2 bh *2
= 1/2 10*8.66*2
=86.6
Total area = 86.6+450=536.6
Suppose 1/6 of students in your school were trying out for a fall sport. How many students would you randomly have to select to get 20 students who were trying out for a spring sport?
Assuming that the probability of a student trying out for a fall sport is 1/6, we would need to randomly select approximately 123 students to get 20 students who were trying out for a spring sport.
To calculate this, we can use the binomial distribution, which models the probability of obtaining k successes in n independent trials, each with a probability of success p. In this case, the trials are the random selections of students, and the success is a student who is trying out for a spring sport. The probability of success is 5/6 (since 1/6 are trying out for a fall sport), and we want to find the smallest n such that the probability of obtaining at least 20 successes is greater than or equal to 0.95 (or 95%).
Using a calculator or software, we can find that:
P(X >= 20) = 1 - P(X < 20) ≈ 0.95004where X ~ Binomial(n, 5/6).
Therefore, we need to solve for n in the inequality:
P(X >= 20) = 1 - P(X < 20) = 1 - binom.dist(19, n, 5/6, TRUE) >= 0.95where "binom.dist" is the binomial cumulative distribution function with the "TRUE" argument for a cumulative probability.
Solving for n, we get:
binom.dist(19, n, 5/6, TRUE) <= 0.05n >= BINOM.INV(19, 5/6, 0.05) ≈ 122.8Therefore, we would need to randomly select approximately 123 students to get 20 students who were trying out for a spring sport.
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When Sarah finished the next level of her video game, she gained 10
points for each of the four targets she hit and lost 105 points for
taking too long. Write the total change to her score as an integer.
Answer:
If Sarah received 10 points for each of the four targets she hit, her total point gain from hitting targets would be:
4 targets x 10 points = 40 points
If Sarah loses 105 points for taking too long, her total loss is -105 points (due to the negative change in her score).
As a result, the total change in Sarah's score may be determined by adding her point gain from hitting targets to her point loss from taking too long:
Total difference = 40 points minus 105 points
-65 points total change
As a result, Sarah's score dropped by 65 points after completing the following level of her video game.
Leandro currently lets his chickens roam free, but he has lost a few chickens during nighttime to predators. Consequently, Leandro plans to use an 80-foot roll of
wire fencing to build a rectangular pen for his chickens to stay in at night. The fencing is 10-feet tall and Leandro will cover the top of the pen.
• The minimum side length will be 180 inches.
• The entire 80 feet of wire fencing will be used.
that is the greatest possible area, in square feet, for Leandro's chicken pen that satisfies these conditions?
A. 225 square feet
B. 400 square feet
C. 375 square feet
D. 1,600 square feet
According to the information, the answer is (C) 375 square feet, which is the closest option to 300 square feet.
How to calculate the greatest possible area for Leadro's chicken?Let's start by drawing a rectangle and labeling its dimensions. Since the perimeter is 80 feet and the minimum side length is 180 inches, we can set up the following equations:
2L + 2W = 80 (perimeter equation)L ≥ 180/12 = 15 feet (minimum side length)H = 10 feet (height of fence)Simplifying the perimeter equation, we get:
[tex]L + W = 40[/tex]Solving for one variable in terms of the other, we get:
[tex]L = 40 - W[/tex]Substituting into the area equation:
[tex]A = LW + 2LH + 2WH[/tex][tex]A = W(40 - W) + 2(10)(W) + 2(10)(40 - W)[/tex][tex]A = -W^2 + 60W + 800[/tex]To find the maximum area, we need to find the vertex of the parabolic equation[tex]A = -W^{2} + 60W + 800[/tex]. The x-coordinate of the vertex is given by x = -b/2a, where a = -1 and b = 60:
[tex]W = -b/2a = -60/-2 = 30[/tex]So the width of the pen is 30 feet, and the length is:
[tex]L = 40 - W = 40 - 30 = 10 feet[/tex]
Therefore, the area of the pen is:
[tex]A = LW = 10 x 30 = 300 square feet[/tex]
Since the pen has a height of 10 feet, we can also calculate the volume of the pen:
[tex]V = LH = 10 x 10 x 30 = 3,000 cubic feet[/tex]
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Find the slope of the line: (8, -3), (10, 7)
[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{(-3)}}}{\underset{\textit{\large run}} {\underset{x_2}{10}-\underset{x_1}{8}}} \implies \cfrac{7 +3}{2} \implies \cfrac{ 10 }{ 2 } \implies 5[/tex]
Gabe goes to the mall. If n is the number of items he bought, the expression 18. 91x + 21 gives the amount he spent in dollars at one store. Then he spent 23 dollars at another store. Find the expression 18. 91x + 21 which represents the amount Gabe spent at the mall. Then estimate how much Gabe spent if he bought 2 items
Gabe spent approximately $81.82 at the mall if he bought 2 items.
The expression given to us is 18.91x + 21, where x represents the number of items Gabe bought at one store. We can interpret this expression as follows: For each item Gabe buys, he spends $18.91, and he also spends an additional $21 regardless of the number of items he buys. Therefore, if he buys n items at this store, he would spend 18.91n + 21 dollars.
Now, we are told that Gabe spent $23 at another store. To find the expression that represents the total amount he spent at the mall, we add the amount he spent at both stores. Therefore, the expression we are looking for is:
Total amount = 18.91x + 21 + 23
Simplifying this expression, we get:
Total amount = 18.91x + 44
This expression represents the total amount Gabe spent at the mall based on the number of items he bought at the first store.
To estimate how much money Gabe spent if he bought 2 items, we can substitute x = 2 into the expression we just derived:
Total amount = 18.91(2) + 44
Total amount = 37.82 + 44
Total amount = 81.82
Therefore, if Gabe bought 2 items, he would have spent approximately $81.82 at the mall.
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Having trouble understanding this
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=192\pi \\ r=2 \end{cases}\implies 192\pi =\cfrac{\pi 2^2 h}{3} \\\\\\ 192\pi =\cfrac{4\pi h}{3}\implies \cfrac{ 3}{4\pi }\cdot 192\pi=h\implies 144=h \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=192\pi \\ r=3 \end{cases}\implies 192\pi =\cfrac{\pi 3^2 h}{3} \\\\\\ 192\pi =3\pi h\implies \cfrac{192\pi }{3\pi }=h\implies 64=h \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=192\pi \\ r=4 \end{cases}\implies 192\pi =\cfrac{\pi 4^2 h}{3} \\\\\\ 192\pi =\cfrac{16\pi h}{3}\implies \cfrac{ 3}{16\pi }\cdot 192\pi=h\implies 36=h[/tex]
if sin 0 = 4/5 then what is cos(90-0)
If sin(θ) = 4/5 then the value of cos(90-θ) is 4/5 by trigonometric identity cos(90-θ) = sin(θ)
We can use the trigonometric identity cos(90-θ) = sin(θ) to find the value of cos(90-θ), since we know the value of sin(θ):
cos(90-θ) = sin(θ)
Substituting the given value of sin(θ) = 4/5, we get:
cos(90-θ) = sin(θ) = 4/5
cos(90-θ) = 4/5.
Hence, if sin(θ) = 4/5 then the value of cos(90-θ) is 4/5 by trigonometric identity cos(90-θ) = sin(θ)
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what is 7/8 x 1/8 intion
fac
The product of 7/8 and 1/8 is 7/64. This can be obtained by multiplying the numerators together to get 7, and multiplying the denominators together to get 64.
To multiply two fractions, we simply multiply their numerators together and then multiply their denominators together. So, 7/8 x 1/8 would be
(7 x 1) / (8 x 8) = 7/64
Therefore, 7/8 x 1/8 equals 7/64.
In words, we can say that 7/8 represents 7 parts out of 8, while 1/8 represents 1 part out of 8.
To find the result of multiplying these fractions, we multiply the parts together: 7 x 1 = 7. Then, we multiply the total number of parts, which is
8 x 8 = 64.
So, the result is 7/64, which means that 7/8 x 1/8 represents 7 parts out of 64.
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A book has 6 chapters in it, each with the same number of pages.
•The book also has an introduction that is 8 pages long.
•The whole book is 194 pages long.
Write an equation using x below.
An equation using x as the number of pages in the book that has 6 chapters with the same number of pages and an introduction with 8 pages is 6x + 8 = 194.
What is an equation?An equation is a mathematical statement that defines that two or more mathematical or algebraic expressions are equal or equivalent.
Equations use the equal symbol (=) while mathematical expressions just combine variables with numbers, constants, and values using mathematical operands.
The number of chapters in the book = 6
The number of pages of the introduction = 8 pages
The total number of pages of the whole book = 194
Let the number of pages in each chapter = x
Equation:6x + 8 = 194
6x = 186 (194 - 8)
x = 31
Thus, we can evaluate the equation to show that x is 31.
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Question Completion:Write an equation using x to show the number of pages in each chapter of the book.
please help 30 points
Answer:
Step-by-step explanation:
just here for the points
farmer jones, and his wife, dr. jones, decide to build a fence in their field, to keep the sheep safe. since dr. jones is a mathematician, she suggests building fences described by and . farmer jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. what is the area of the enclosed region?
The area of enclosed region is 18 square units by equation of curve y= 5x² and y =x² +9 with application of integration.
Dr.Jones decides to build a fence as represented by the given two equations,
y =5x² ___(1)
and y= x² + 9 ___(2)
To find the point of intersection of the two equations we equate (1) and (2) as,
5x² = y = x² -9
⇒ 5x² = x² -9
⇒ 9 -4x² = 0 ___(3)
⇒ 4x² = 9
⇒ x² = 9/4
Taking square roots on both the sides we get,
⇒ x = ± 3/2
Thus the interval in which value of x ( as length of fence) lies is (-3/2 , 3/2).
Therefore, we can calculate the area enclosed region by equation (1) and (2) with the formula of integration,
Area= integration of equation (3) in interval (-3/2,3/2) = [tex]\int\limits^a_b {9-4x^2} \, dx[/tex]
where, a =3/2 and b =-3/2
=[ 9*(3/2) - (4/3)*(3/2)³] - [ 9*(-3/2) - (4/3)(-3/2)³ ] sqaure units
= 18 square units
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The given question is incomplete, the complete question is
"Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by y=5x^2 and y=x^2+9. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?"
the value of a building is currently 281000. if the value increase by 4.5%, what will the new be value
100 POINTS
Select the correct point on the graph.
A local zoo has just opened a new stingray environment with 7 young, healthy stingrays. The population of stingrays in the enclosure is expected to at least double every year and can be represented after x years by this inequality.
The correct point on the graph would be (1, 14). This point represents the population of stingrays in the enclosure after 1 year.
In the given inequality, the population of stingrays in the enclosure is expected to at least double every year, which means the population grows exponentially.
The graph of an exponential function appears as an upward curve, and the point that represents the initial population of 7 stingrays would be the one located closest to the y-axis, which is point (0, 7).
Since the population of stingrays is expected to double every year, after one year it would be 7 x 2 = 14.
Thus, the point (2, 28) would represent the population of stingrays after 2 years, and so on.
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