The area of the complex shape is 35.1 square meters.
What is a parallelogram?A unique kind of quadrilateral called a parallelogram has two opposite sides that are parallel to one another. The opposite sides and angles of a parallelogram have equal lengths and measurements.
The given shape is a parallelogram.
Since the opposite sides of a parallelogram are equal, the base of the parallelogram is 27m.
The area of the parallelogram is given by the following formula:
[tex]A = b *h[/tex]
Where, b is the base and h is the height of the parallelogram.
Substitute the value of b = 27m and h = 1.3m:
A = (27)(1.3)
A= 35.1 square meters.
Hence the area of the complex shape is 35.1 square meters.
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The coordinates of point T are (0,5). The midpoint of is (4,-7). Find the coordinates of point S.
The coordinates of point S of the line segment TS will be (8, - 19).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The coordinates of point T are (0,5). The midpoint is (4,-7).
Then the coordinates of point S will be given as,
(4, -7) = [(0 + x₂) / 2, (5 + y₂) / 2]
(8, - 14) = (x₂, y₂ + 5)
(8, - 19) = (x₂, y₂)
The coordinates of point S of the line segment TS will be (8, - 19).
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A small cube and a large cube with edge lengths represented by expressions are shown in the diagram below.
x inches
3x inches
The small cube has a volume of 64 cubic inches.
Part A
What is the value of x? Show or explain how you got your answer.
The value of x is 4 inches.
What is a cube?It is a polygon having six faces.
The volume of a cube is side³.
We have,
The volume of the small cube is 64 cubic inches.
This means,
Side³ = 64 inches³
x³ = 64 inches³
x = 4 inches
Thus,
x is 4 inches.
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simplify 20 × 23 + 20 - 23
20 × 23 + 20 - 23 can be simplified to 460 + 20 - 23, which can be simplified further to 480 - 23, or 457.
can you help me on this
7(8x+5)
Ya really need help!!!
Answer:
y=-3/2x+2
Step-by-step explanation:
3x+2y=4
Subtract 3x from both sides of the equation
2y=-3x+4
Divide both sides by 2
y=-3/2x+2
Change the original equation to slope intercept form (y=mx+b), by moving the x to the other side, and dividing by the y.
y=3/2x+4
4-33.
Simplify the following expression: 32³-2x² +4-(3x³ + 5x² - 2).
a. How many terms are in your answer?
b. What is the coefficient of in your answer?
Answer:
Step-by-st32³-2x² +4-(3x³ + 5x² - 2)
= 32³ + 4 - 3x³ - 5x² + 2x² - 2
= 32³ - 3x³ - 3x² + 2
a. There are 3 terms in the answer.
b. The coefficient of x^3 is -3 and the coefficient of x^2 is -3.
So the final answer is -3x^3 - 3x² + 2.ep explanation:
In an activity, students are pulling marbles from a large jar containing blue and red marbles. In their sample, students will calculate the proportion of blue marbles. Which of the following sample sizes will have the largest sampling variability?
10
20
30
40
The sample size that will have the largest sampling variability is D. 40.
What is the sample about?From the information, in the activity, students are choosing blue and red marbles from a sizable jar.
The percentage of red marbles in the sample will be calculated by the students. The sample size of the marble's sampling variability increases as the sample percentage of red marbles approaches the actual percentage of red marbles in the jar.
Therefore, the sample proportion of red marbles will be closer to the actual proportion of red marbles in the jar the larger the sample size of marbles. In this case, 40 is the correct option.
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Find the length of TQ.
The length of the segment TQ is equal to 27 for the chord PQ intersecting another chord RS.
Chords intersecting in the interior of a circleWhen two chords are intersecting each other inside a circle, then the product of the segments of one of the chord is equal to the product of the segments of the other chord.
The chords PQ and RS are interesting each other, so;
18(2x - 5) = 14(2x + 1)
36x - 90 = 28x + 14
36x - 28x = 14 + 90
8x = 104
x = 104/8
x = 13
the segment TQ is derived as;
2(13) + 1 = 27
Therefore, the segment TQ have a length equal to 27 for the chord PQ intersecting another chord RS.
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Explain to me how does this formula work.
[tex]{e}^{i\pi} + 1 = 0[/tex]
The well-known equation e(i*pi) + 1 = 0 represents Euler's identity, where e is the Euler number, or roughly 2.71828, I is the imaginary number, or roughly i2 = -1, and pi is the ratio of a circle's circumference to its diameter, or nearly 3.14.
What is meant by diameter?A straight line that passes through the middle of a rounded object or form and ends at a point on the opposite edge: The diameter is twice as big as the radius. The pond has a six-foot diameter. the distance along a straight line that passes through the middle of a space or an object. the circumference of a circle. dug a hole that was almost four feet in diameter. The simplest place to start would be to take the ruler and measure the distance between the circle's outside edges starting from its very center. That would be the diameter. A circle's edge or length is known as its circumference.To learn more about diameter refer to:
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Maria went to see a baseball game. The game started at 8:39 PM and ended at 11:54 PM. How long was the game?
PLease help
question is in the pic
The height of the hill is 607.5 feet.
How to find the height of the hill?Johnny is riding a motorcycle uphill. After riding 400 feet, he reaches a height of 270 feet. He must ride another 500 feet to reach the top of the hill.
Therefore, the height of the top of the hill can be calculated as follows:
400 ft = 270 feet
500 feet = ?
cross multiply
height after riding 500 feet = 500 × 270 / 400
height after riding 500 feet = 135000 / 400
height after riding 500 feet = 337.5 ft
Therefore,
height of the top of the hill = 337.5 + 270 = 607.5 ft.
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How long would it take to have 733,500 baht if your principal amount was 450,000 baht with a 9% interest rate?
Step-by-step explanation:
Time (in years) = (733,500 baht - 450,000 baht) / (450,000 baht * 9%)
Plugging in the values, we get:
Time (in years) = (733,500 baht - 450,000 baht) / (450,000 baht * 0.09)
Time (in years) = (283,500 baht) / (40,500 baht)
Time (in years) = 7 years
Chandler swam 3/4 and Gus swam 4/6.
Chandler said she swam my more months than Gus,Is she correct?
Answer: 3/4 = 18/24 4/6=16/24 \ Chandler swam more.
Step-by-step explanation:
Solve for x. 4x− 4 < 8 AND 9x+ 5 > 23 4x−4<8 AND9x+5>23
Answer:
(no solutions exist)
Step-by-step explanation:
Shannon has made 5 of her last 20 free throws. At this rate, how many free throws will she make if she attempts 400 this year?
If Shannon attempts 400 throws this year, the number of free throws that she would make is 100 free throws.
How to find the number of free throws?To find the number of free throws that Shannon might be able to make this year, you need to look at the rate at which she is able to make free throws from the number of throws that she makes.
When Shannon made 20 throws, she was able to make 5 free throws out of these 20 throws. This means that her rate of free throws is :
= Number of throws made / Total throws taken x 100 %
= 5 / 20 x 100 %
= 0. 25 x 100 %
= 25 %
If Shannon has 400 throws therefore, the number of free throws she can make at that rate is:
= Number of total throws x Rate of free throws made
= 400 x 25 %
= 100 free throws
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1. Madison and her brother drove around the perimeter of their neighborhood looking for their cat. The diagram above shows the path they drove. In total, how many kilometers did they drive?
10 km
48 km
56 km
53 km
140 km
Madison and her brother drove around the perimeter of their neighborhood looking for their cat. The diagram above shows the path they drove. In total, 56 kilometers did they drive. This can be solved using the concept of rectangular perimeter.
What is perimeter of a rectangle?The circumference of a form is known as its perimeter. One must sum the lengths of the all four edges of a rectangular or squares to determine its perimeter. In this instance, the rectangle's length is represented by x and its width by y. P = 2 (x+y), which is the perimeter.
The diagram is actually looks like a rectangle.
Here the length becomes = 10 km
and breadth = 18 km
The question mark here is: 18 -10 = 8km
so, perimeter = 2 (length + breadth)
perimeter = 2 (18 + 10)
perimeter = 56 km.
correct option: b
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Solve for w.
8+4w 12
Simplify your answer as much as possible.
W =
The value of the W is 1.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Given equation is
8 + 4w = 12
If add or subtract or multiply or divide the same number into both sides of an equation, then the equation remains the same.
Subtract 8 from both sides of the equation:
8 + 4w - 8 =12 - 8
4w = 4
Divide both sides by 4:
4w/4 = 4/4
w = 1
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Consider an I-MR-chart for plotting the range. The point that is plotted on the chart is calculated by taking the absolute value of the difference between successive observations.
True
False
The point that is plotted on the chart is calculated by taking the absolute value of the difference between successive observations. yes , it is a true statement for absolute value
What does an I-MR chart tell you?
An I-MR chart is a combination of control charts used to monitor the process variability (as the moving range between successive observations) and absolute (as the mean) when measuring individuals at regular intervals from a process.
A data series, such as a list of quarterly corporate profits, is a row or column of figures that are input in a worksheet and plotted in your chart. Even if you generated your chart in a different software, like Word, Office automatically associates charts with an Excel-based worksheet.
A data series contains the actual values that are plotted on the chart.
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please do both problems. No spamming will make you brailiest 20 points!
15. Triangle FLW is not congruent with triangle YLW
16. triangle TNS is congruent with triangle UHS by AAS
What is congruency of triangle?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
Some of the rules include
Side - Side - Side = SSS
Side - Angle - Side = SAS
Angle - Side - Angle = ASA
Angle - Angle - Side = AAS
Hypotenuse and one leg = HL
The problem requires the prove by Angle - Angle - Side = AAS and Side - Angle - Side = SAS to ensure that the the triangles are congruent
The AAS have it that the two triangles being compared should have their two angles and the not included side being are equal hence 16 is correct
The SAS require that the two sides and the included angel are equal while in 15, the two sides and the not included angle is what was used making it wrong.
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. Tara's meal cost $8.60. She had to pay a sales tax of 6%. Then she left a 10% tip based off the new total. What did she spend altogether?
Answer:
The answer is $10
Step-by-step explanation:
GivenTara's meal cost $8.60. She had to pay a sales tax of 6%.It means she paid tax of $8.60 which is 6%
So,
(8.60 × 6) ÷ 100
51.6/100 = $0.516
Here, The tax was $0.516
Total cost of meal
= $0.516 + $8.60 = $9.116 (including tax)
Then she left a 10% tip based on the new total.(9.116 × 10) ÷ 100 = $0.9116
Total cost (including tip)
= $9.116 + $0.9116 = $10.0276 ≈ $10
Thus, Tara spend $10 altogether.
Select ALL the correct answers.
In AABC, BD is perpendicular to AC as shown in the figure.
Which equations are true?
OBC²+ CD² = BD²
O AC²+ CB² AB²
O AD² + DB² = AB²
B
In the given triangle equations AC² = AB² + BC², AB² = AD² + BD² and BC² = CD² + BD² are true.
What is a right-angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
Given that,
ABC is a right-angle triangle. And BD is perpendicular to AC.
To show the equations which are true,
Use the Pythagorean theorem,
(Hypotenuse)² = (base)² + (height)²
In triangle ABC,
AC² = AB² + BC²
In triangle ABD,
(AB)² = AD² + BD²
And in triangle BCD,
BC² = CD² + BD²
Therefore, options (2), (3), and (6) are correct. Those are the only equation satisfying the Pythagorean theorem.
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Two small pitchers and three large pitchers can hold a total of 16 cups of water. The large pitcher holds 2 more cups of water than the small pitcher. Solve the word problem with subsistence or elimination method.
The number of cups for small pitchers = 2
The number of cups for large pitchers = 4.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Two small pitchers and three large pitchers can hold a total of 16 cups of water.
And, The large pitcher holds 2 more cups of water than the small pitcher.
Now,
Let number of cups for small pitchers = x
And, The number of cups for large pitchers = y
Here, Two small pitchers and three large pitchers can hold a total of 16 cups of water.
So, We can formulate;
⇒ 2x + 3y = 16 .. (i)
And, The large pitcher holds 2 more cups of water than the small pitcher.
So, We get;
⇒ y = 2 + x .. (ii)
Substitute the value of y from (ii) in (i), we get;
⇒ 2x + 3 (2 + x) = 16
Solve for x as;
⇒ 2x + 6 + 3x = 16
⇒ 5x = 16 - 6
⇒ 5x = 10
⇒ x = 2
And, From (ii);
⇒ y = 2 + x
⇒ y = 2 + 2
⇒ y = 4
Thus, The number of cups for small pitchers is 2
The number of cups for large pitchers is 4.
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b. If Suellen has been taking dance lessons for Y years, how many years has Tara been taking lessons?
If Suellen has been taking dance lessons for Y years, then Tara is taking dance lessons for Y+4 years.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, Suellen and Tara both take dance lessons. This Is Suellen’s first year, while this is Tara’s fifth year of dance lessons.
If Suellen has been taking dance lessons for Y years.
Then, the number of Tara taking lessons Y+4.
Therefore, Tara is taking lessons for Y+4 years.
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"Your question is incomplete, probably the complete question/missing part is:"
Suellen and Tara are in sixth grade, and both take dance lessons at Twinkle Toes Dance Studio. This Is Suellen’s first year, while this is Tara’s fifth year of dance lessons. Both girls plan to continue taking lessons throughout high school.
If Suellen has been taking dance lessons for Y years, how many years has Tara been taking lessons?
Hi! Can someone please help me out and explain? Thank you so much :) I’ll give brainly.
Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow? (Make sure to simplify your answers)
Answer:
The probability Nerissa will choose a purple bow is 40%. The probability that Nerissa will pick a purple bow can be calculated by the formula:
= Number of purple bows / Total number of bows Total number of bows:
= 5 + 1 + 4
= 10 bows Probability of picking purple bow is:
= 4 / 10
= 40%
The probability that Nerissa picks a purple bow is 40%.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The probability Nerissa will choose a purple bow is 40%.
The probability that Nerissa will pick a purple bow can be calculated by the formula:
= Number of purple bows / Total number of bows
Total number of bows:
= 5 + 1 + 4
= 10 bows
Probability of picking purple bow is:
= 4 / 10
= 40%
The probability that Nerissa picks a purple bow is 40%.
What is the slope from ( -7, 5) to ( -3,4)
Answer:
Step-by-step explanation:
Sammi buys a painting for £80 and sells it for a 15% profit.
How much does he sell the painting for?
Solve for the balloon volume using the
equation below where:
volume = v
circumference = c
V=
2³
67²
Answer:
OK your question is an easy but it also difficult I know your are such a bright student of your class so please try your question by yourselvesThe class aquarium holds 2 gallons of water. How many cups is this? How many fluid ounces is this?
Answer: 32 cups, 256 fl oz
Step-by-step explanation:
The partial factorization of x²-x-12 is modeled with
algebra tiles.
+X
+X
+X
-X
-X
-X
+
I
+X+X+X
1
1
+
1
I
+
1
1
I
1
Which unit tiles are needed to complete the
factorization?
O 3 negative unit tiles
O 3 positive unit'tiles
O4 negative unit tiles
O4 positive unit tiles
There are ''4 negative unit tiles'' are needed to complete the factorization.
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The equation is,
⇒ x² - x - 12
Now,
Since, The equation is,
⇒ x² - x - 12
Hence,. The prime factorization is,
⇒ x² - 4x + 3x - 12
⇒ x (x - 4) + 3(x - 4)
⇒ (x + 3) (x - 4)
Thus, The correct statement is,
⇒ 4 negative unit tiles
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When you divide a unit fraction by a whole number greater than 1, the quotient is always smaller than the unit fraction being divided. Why is this true?
Answer: It's less than 1 because we invert the divisor and multiply.
Step-by-step explanation: