What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at any steps
Answers
Let's split up the shape in a square and a triangle.
If you introduce point E at (5,1) you see a square ABED with area 5*5=25.
What remains is a triangle with straight sides 5 and √((11-5)² + (1--7)²) = 10. So the triangle's area is 5*10/2 = 25.
This means the total area is 25+25=50.
Related Questions
Decide which of the two points lies on the graph of the line
2x-5y=-14
A. 2,-2
B. -2,2
Answers
2(-2) - 5(2) = -14
-4 - 10 = -14
-14 = -14
true
hope this helps
Antoine is graphing the total number of prizes needed, P, based on the number of entries in a contest, E. He knows that for every 10 entries, he will need 1 prize, and he would like for his graph to show the total number of prizes needed for 100 and 150 entries. Select from the drop-down menus to correctly complete each statement.
To best show this information, the scale for the P-axis of his graph should go from 0 to at least ___ , and the E-axis of his graph should go from 0 to at least ___.
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In ∆ABC, the median AM (M ∈ BC ) is perpendicular to the angle bisector BK (K ∈ AC ). Find AB, if BC = 12 in.
Answers
Answer:
The answer is 6 inches
Step-by-step explanation:
Since the angle is isosceles, angle A and angle B have the same measure,
The sum of the angles of any triangle is 180°.
So 2 times the measure of angle B plus 120° = 180°, then the equation:
Solving for x we get:
Now we use the law of sine on the triangle BMC like this:
Solving for BC we get :
We apply the law of sin again on the isosceles triangle ABC like this:
Solving for AB we get:
6 inches
Answer:
Answer:
The answer is 6 inches
Step-by-step explanation:
Since the angle is isosceles, angle A and angle B have the same measure,
The sum of the angles of any triangle is 180°.
So 2 times the measure of angle B plus 120° = 180°, then the equation:
Solving for x we get:
Now we use the law of sine on the triangle BMC like this:
Solving for BC we get :
We apply the law of sin again on the isosceles triangle ABC like this:
Solving for AB we get:
6 inches
Read more on Brainly.com - https://brainly.com/question/6638938#readmoreStep-by-step explanation:
Write an equation of the line that passes through (2, 7) and (0, −5)
y=
Answers
Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values:[tex] \frac{-5-7}{0-2} = \frac{-12}{-2} = 6[/tex]
Slope: [tex]6[/tex]
Second, we must plug into point-slope form.
Formula for point-slope: [tex]y - y1 = m(x-x1) [/tex]
Plug in the values: [tex]y - 7 = 6(x-2) [/tex]
Solve.
[tex]y - 7 = 6(x-2) y - 7 = 6x - 12 Add 7 both sides. y = 6x - 5[/tex]
So the equation is: [tex]y = 6x - 5 [/tex]
Vincent has cut three pieces of rope to complete a science project. two pieces are of equal length. the third piece is one-quarter the length of each of the others. he cut the three pieces from a rope 54 meters long without any rope left over. find the number of meters in each piece.
Answers
So we have the equation:-
2x + 0.25x = 54
x = 54 / 2.25 = 24
So the length of the 3 pieces are 24,24 and 6 meters.
Please help, will give brainliest if you explain
Which ordered pairs are solutions to the following inequality?
(the < has a line under it)
2y - x < -6
Select EACH correct answer
a) (1,-4)
b) (2,-2)
c) (-3,0)
Answers
2(4) - 1 is less than or equal to -6.
8 - 1 is less than or equal to -6.
7 is less than or equal to -6. You know that 7 is greater than -6 so you can cross off A as one of your possible answers.
(2, -2) is (x, y)
2(-2) - 2 is less than or equal to -6
-4 - 2 is less than or equal to -6
-6 is less than or equal to -6. You know that -6 is equal to -6 so you know that B is one of your answer choices.
(-3, 0) is (x, y)
2y - x is less than or equal to -6
2(0) - (-3) is less than or equal to -6
3 is less than or equal to -6. 3 is greater than -6 so C is not your answer.
Only answer choice B fits in with the equation.
BRAINLIEST ASAPPPP!!!
Which of the following questions is a statistical question?
How many sticks of gum can you chew at one time?
Where can gum be purchased?
How many types of gum are there?
How many sticks of gum come in a standard pack?
Answers
Answer:
The answer is How many sticks of gum can you chew at one time? (I got it right on my test)
Step-by-step explanation:
Option A is the correct answer.
We need to find from the given options which is the statistical question.
What is the statistical question?A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.
Now from the given options, we can say that,
The best and most correct answer among the choices provided by your question is the first choice which states that "How many sticks of gum can you chew at one time? "
Therefore, option A is the correct answer.
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The weekly revenue for a company is r equals negative 3 p squared plus 70 p plus 988r=−3p2+70p+988, where p is the price of the company's product. use the discriminant to find whether there is a price for which the weekly revenue would be $18001800.
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If an outcome measure is normally distributed, this means that
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A normally distributed result means that when the data is plotted on a graph, we can actually see a bell shaped curve. That highest frequency or peak is centered on the average value. Because it is shaped like this, we can say that:
most scores are around the average with some scores being lower or higher
Is f(x)=13.7e^0.04t an example of exponential growth or decay
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Which expression can be used to convert 80 US dollars (USD) to Australian dollars (AUD)?
1 USD = 1.0343 AUD
1 AUD = 0.9668 USD
Answers
Classify the variable according to the set of numbers that best describes its values, the amount of money m spent is a vending machine. The answers I can chose are. A rational numbers, B Irrational numbers, C integers, D natural numbers
Answers
The variable will be a natural number according to the set of numbers that best describes its values, the amount of money m spent is a vending machine option (D) is correct.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The amount of money m spent is a vending machine.
As we know, in the vending machine we cannot insert money in negative quantity.
And integers range from (-∞, ∞)
The real number starts from 1 and continues 2, 3, 4,5 ,6 and so on
Thus, the variable will be a natural number according to the set of numbers that best describes its values, the amount of money m spent is a vending machine option (D) is correct.
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Geometry
Given triangle ABC with coordinate A(-2,5),B(-2,2) and C(-4,1) and it’s image A’B’C’ with A’(2,1), B’(-1,1) and C’(-2,-1), find the line of reflection.
The line reflection is at y= __
Answers
(-2,2) (-1,1) M= (-3/2,3/2)
(-4,1) (-2,-1) M= (-3,0)
slope= (3-0)/(0+3)=3/3=1
b 3=b
y=x+3 should be the line of refelction.
Substitute the values of x and y into the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2. Match that value to one of the numbers.
1. x = 2, y = -1
9.17
2. x = 0, y = 2.5
1.665
3. x = -1, y = -3
-11.25
4. x = 0.5, y =
14
5. x = , y =
-1
6. x = √2, y = √2
0.44
Answers
x = 0, y = 2.5 Answer = -11.25
x = -1, y = -3 Answer = 14
x = 0.5, y = -0.1 (one tenths) Answer = 0.44
x = 0.75 (three quarters), y = 0.4 (two fifths) Answer = 1.665
x = 1.41 (sqareroot of 2), y = 1.41 (sqareroot of 2) Answer = 9.17
I hope this helps!
Between which weeks was the change in money earned the greatest?
Answers
Week 1 earned a total of $100 and week 4 earned a total of $120
What is the slope of a line that is parallel to the line represented by the equation 3x + 4y = 12?
Answers
y = (-3/4)x + 3
The slope is now the coefficient of the “x” term.
So the slope of this line is -3/4, so a parallel line must also have a slope of -3/4.
Answer:
- 3/4
Step-by-step explanation:
this answer is correct
Elian bought 1.87 pounds of chicken and 2.46 pounds of turkey at the deli about how much meat did he buy altogether
Answers
The total meat Elian bought is 4.33 pounds.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, Elian bought 1.87 pounds of chicken and 2.46 pounds of turkey at the deli.
∴ The total meat Elian bought is the sum of pounds of chicken bought and pounds of turkey bought.
= (1.87 + 2.46) pounds.
= 4.33 pounds.
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A rate for internet acess is $5 per month plus $0.25 per hour of use. write a function rule to show how the monthly bill depends on the number of hours used. if you spend one hundred and twenty-two horus in a month, how much will the monthly bill come to
Answers
Answer:
Its A o.22
Step-by-step explanation:
how many x-intercepts does the graph of the given equation have?
y= -4x^2+3x-2
a.none
b. one
c. two
D. Three
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Your garden is in the shape of a trapezoid. The width is 2 feet. The parallel bases are 4 feet and 6 feet. What is the area of your garden?
Answers
Width = 2 ft
Parallel bases: 4 ft and 6 ft.
The area is (1/2)(Sum of the bases) x Width.
Therefore the area is
A = (1/2)*(4 + 6)*2
= (1/2)*10*2
= 10 ft²
Answer: 10 ft²
Answer:
10 square feet
Step-by-step explanation:
The explanation is in the picture below.
Your welcome :)
An arithmetic series contains 20 numbers. The first number is 102. The last number is 159. Which expression represents the sum of the series?
Answers
and 57/20=2.85
n=2.85
you would make the sum be 102+1n+2n.......20n= sum
Answer:
It's B
Step-by-step explanation:
20(102+159/2)
What are the coordinates of the vertices of the triangle under the translation (x, y) mc014-2.jpg (x - 1, y - 3)?
(-4, 5), (0, 0), (4, 5)
(0, -8), (-1, -1), (-5, -4)
(5, -4), (0, 0), (5, 4)
(-8, 0), (-1, -1), (-4, -5)
Answers
After applying the translation (x - 1, y - 3), the vertices of the triangle originally at (-4, 5), (0, 0), and (4, 5) will move to new locations (-5, 2), (-1, -3), and (3, 2).
Explanation:The question is about translation in mathematics, specifically in geometry. A translation is a function that moves every point a constant distance in a specific direction. If we have a point at coordinates (x, y), a translation of the form (x - a, y - b) will shift that point a units to the left and b units down:
The point (-4, 5) will shift to (-4 - 1, 5 - 3) = (-5, 2)The point (0, 0) will shift to (0 - 1, 0 -3) = (-1, -3)The point (4, 5) will shift to (4 - 1, 5 - 3) = (3, 2).So, the vertices of the triangle after the translation (x - 1, y - 3) will be (-5, 2), (-1, -3), and (3, 2).
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The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 30 feet and the height of tank #2 is 110 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
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A triangle has one angle that measures 15 degrees, one angle that measures 44 degrees, and one angle that measures 121 degrees. what kind of triangle is it
Answers
The given triangle can be known as a scalene triangle.
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
The measures of the different angles are given as 15°, 44° and 121° respectively.
Since, all the angles have different measures.
The given triangle is neither equilateral or isosceles.
Thus, the given triangle is scalene triangle.
Hence, the given triangle can be called as a scalene triangle.
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Twelve pennies are arranged in a row on a table every other coin is replaced with a nickel then every third coin is replaced with a dime finally every fourth coin is replaced with a quarter what is the total value of the coins on the table?
Answers
There will be 3 of each coin mentioned if you think about it and is a pattern
1+5+10+25= 41 x 3 = $1.23
Hope it helps.
Final answer:
The sequence of substitutions of the coins on the table results in a final arrangement of coins with a total value of 121 cents or $1.21. This problem combines sequence patterns with coin values to find the total.
Explanation:
We have a problem involving a series of substitutions of coins, and we need to calculate the total value of the coins on the table after these substitutions. We start with 12 pennies, which are initially worth 1 cent each.
Step 1: Every other coin is replaced with a nickel, so we replace every 2nd penny with a 5-cent coin (nickel). The sequence starts with a penny (P), so the even positions will now be nickels (N). The sequence now looks like P, N, P, N, P, N, P, N, P, N, P, N.
Step 2: Every third coin is replaced with a dime, which is worth 10 cents. This means the 3rd, 6th, 9th, and 12th positions will now be dimes (D). The sequence becomes P, N, D, N, P, D, P, N, D, N, P, D.
Step 3: Every fourth coin is replaced with a quarter, which is worth 25 cents. Positions 4, 8, and 12 are affected. The sequence is now P, N, D, Q, P, D, P, Q, D, N, P, Q.
Let’s calculate the total value of the coins:
6 Pennies (P): 6 * 1 cent = 6 cents
2 Nickels (N): 2 * 5 cents = 10 cents
3 Dimes (D): 3 * 10 cents = 30 cents
3 Quarters (Q): 3 * 25 cents = 75 cents
Adding all these values together: 6 cents + 10 cents + 30 cents + 75 cents = 121 cents or $1.21.
This problem requires understanding of sequence patterns and knowledge of United States coin values to determine the total value of the coins.
A square has an area of 49 units what is the length of each side
Answers
Solve for the roots in the equation below...
x^3 - 27 = 0
Answers
3•3•3=27
27-27=0
125 square yards to square meters (to the nearest tenth)
Answers
Please Help!
Economists recommend that the GDP (gross domestic product) growth rate of a nation be between 7.1 and 7.9 percent inclusively. Identify the compound inequality that show these GDP rates.
7.1 ≤ g ≤ 7.9
7.1 ≤ g <7.9
7.1 < g <7.9
7.1 < g ≤ 7.9
Answers
equal
the first one is correct
The compound inequality which represents the recommendation of economists for a GDP growth rate to be between 7.1 and 7.9 percent (inclusive) is given by '7.1 ≤ g ≤ 7.9'. This mathematical expression indicates that the acceptable rates are all the values including and between 7.1 & 7.9.
Explanation:In the context of mathematics, specifically the subject of inequalities, the student's question is asking to represent the given GDP rates as a compound inequality. A compound inequality is a statement with two inequalities joined by the word 'and' or 'or'.
Here, economists recommend the GDP growth rate to be between 7.1 and 7.9 percent (inclusive). So, the GDP growth rate (let's denote it as 'g') is more than or equal to 7.1 percent and, at the same time, less than or equal to 7.9 percent. So, the compound inequality which represents this situation is 7.1 ≤ g ≤ 7.9. So the correct option from the provided ones is the first one: '7.1 ≤ g ≤ 7.9'.
This inequality tells us that the growth rates 'g' are all the values including and between 7.1 & 7.9. This is crucial information for economists when monitoring the health and progress of a nation's economy. The percentage rate of GDP growth is a measure of economic success and can impact many aspects like standard of living, employment rates, and business growth.
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Yuki has a ribbon that is 11 1/4 feet long. She divides it into pieces that are each 1 7/8 feet long. She uses three piece to make a bow. How many bows can she make in all?