Answers
Answer:
A = 38.5 units²
Step-by-step explanation:
the figure has one pair of parallel sides and is therefore a trapezium.
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
b₁ and b₂ are the parallel bases and h the perpendicular height between them.
here h = 7 , b₁ = 5 , b₂ = 6 , then
A = [tex]\frac{1}{2}[/tex] × 7 × (5 + 6) = 3.5 × 11 = 38.5 units²
Related Questions
The midpoint of \overline{\text{AB}} AB is M(7, -7)M(7,−7). If the coordinates of AA are (8, -6)(8,−6), what are the coordinates of BB?
Answers
Using the formula for the midpoint of the line with given points A and B as the end points of the line, the coordinates of the point B is (6,-8).
How do you find the midpoint of a line segment?To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.
What is the formula for finding the midpoint of a line segment?
The formula for finding the midpoint of a line segment is:
Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )
Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.
Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line, and using the midpoint formula for a line AB,
Midpoint(M) = [tex](\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B
so , (7,-7) = [tex](\frac{8+x2}{2} , \frac{-6+y2}{2})[/tex]
equating the corresponding points,
7 =(8+x2)/2
therefore, x2 = 6
and , -7 = (-6+y2)/2
therefore , y2 = -8
Hence the coordinates of B is , (x2,y2 ) = (6,-8)
To learn more about midpoint of a line visit:
https://brainly.com/question/28224145
#SPJ1
1: What number must be multiplied by (5x + 6) to result in the expression 20x + 24?
2: On the first day of a road trip, you drive x miles.
On Day 2, you drive 10 more than twice the miles driven on Day 1.
On Day 3, you drive 100 miles less than Day 1.
Write an expression to represent the miles driven on each day of the road trip, then write a final simplified expression representing the total miles driven in three days.
a) Day 1:
b) Day 2:
c) Day 3:
d) Final simplified expression to represent total miles driven in three days:
e) Look at your expression for c) Day 3: "100 miles less than Day 1." Describe a real-word situation to explain why order matters when writing this expression.
Answers
1. The number that must be multiplied by (5x + 6) to result in the expression 20x + 24 is 4.
2. An expression representing the miles driven on each day of the road trip and a final simplified expression of the total drives in three days are as follows:
a) Day 1: x
b) Day 2: 2x + 10
c) Day 3: x - 100
d) Final simplified expression to represent total miles driven in three days: 4x + 10 - 100.
e) A real-world situation in which order matters when writing the expression x - 100 is that the value of x is supposed to be more than the value of 100.
What is a mathematical expression?A mathematical expression is the combination of constants, numbers, mathematical operators, and variables without the equation sign (=).
Literarily, a mathematical expression is like a phrase in the English language because it does not make complete sense without the equation sign.
1) Multiplication:
(20x + 24) ÷ (5x + 6) = 4
Check:
4(5x + 6) = 20x + 24
2) Road Trip Expressions:
Day one driving distance = x miles
Day two driving distance = 2x + 10
Day three driving distance = x - 100
Total distance = x + 2x + 10 + x - 100
= 4x + 10 - 100
Learn more about mathematical expressions at https://brainly.com/question/1859113
#SPJ1
Two bulbs flush at regular intervals at 30 and 36 seconds respectively they flush together at 10:45 AM what time will they flush together for the second time
Answers
Answer: 10:48 AM
Explanation:
Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.
Hope this helps!!! :)
Can someone help me with this? It's urgent.
Answers
The table is filled as described , shown below.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
Rate per hour is $11.25
Number of regular hours is 40
Payment for regular hours:
time multiply with payment=
40*$11.25 = $450
Again, we have,
Rate per overtime hour:
$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)
Number of overtime hours:
48.5 - 40 = 8.5
Payment for overtime hours:
$16.88*8.5 = $143.48
Now, we get ,
Gross payment is the sum of regular and overtime payments:
$450 + $143.48 = $593.48
Hence, he would get $593.48
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ1
A company employing 10,000 workers offers deluxe medical coverage (D), standard medical coverage (S) and economy medical coverage (E) to its employees. Of the employees, 30% have D, 60% have 5 and 10% have E. From past experience, the probability that an employee with D, will submit no claims during next year is 0.1. The corresponding probabilities for employees with S and E are 0.4 and 0.7 respectively. If an employee is selected at random;
a) What is the probability that the selected employee has standard coverage and will submit no
claim during next year? b) What is the probability that the selected employee will submit no claim during next year?
c) If the selected employee submits no claims during the next year, what is the probability that the employee has standard medical coverage (S)?
please give full answer
Answers
a) The probability that the selected employee has standard coverage is 60%, and the probability that they will submit no claims is 0.4. Therefore, the probability that the selected employee has standard coverage and will submit no claims is 0.4 * 0.6 = 0.24.
b) To find the probability that the selected employee will submit no claims, we can add up the probabilities for each type of coverage. The probability that the selected employee will submit no claims is 0.1 * 0.3 + 0.4 * 0.6 + 0.7 * 0.1 = 0.33.
c) To find the probability that the selected employee has standard coverage given that they have no claims, we can use Bayes' Theorem. The probability that the selected employee has standard coverage given that they have no claims is:
P(S|N) = P(N|S) * P(S) / P(N)
Plugging in the values from the problem, we get:
P(S|N) = 0.4 * 0.6 / 0.33 = 0.73
Therefore, the probability that the selected employee has standard coverage given that they have no claims is 0.73.
Keshawn is organizing textbooks on his bookshelf. He has a Spanish textbook, a biology textbook, a history textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?
Answers
Answer: four textbooks
Step-by-step explanation:
Which of the following points is shown in the graph below? Question 5 options:
Answers
The point shown on the graph is
(4, -5, 6)
How to find the points shown on the graphAn ordered triplet of lines (the axes) that are pair-wise perpendicular and pass through the same point (the origin) make up a Cartesian coordinate system for a three-dimensional space.
Each axis also has an orientation, and the length of all three axes is equal.
In ordered triplet, the order of the axis is (x, y, z)
z is vertical up positive and down negative
y is horizontal right is positive and left is negative
x is the axis pointing to us which is positive pointing away is negative
Using this information, to trace the point shows that the point marked by a dot is (4, -5, 6).
Learn more about ordered triplet at:
https://brainly.com/question/29601205
#SPJ1
What is the answer to 156 x 13
Answers
Answer:
2028
Step-by-step explanation:
156 x 13 = 2028
Round 0.09305085 to the nearest hundredth
Answers
p.
Sue uses of a pitcher of sweet tea to fill
each of 6 matching glasses. What fraction of
the pitcher does Sue use to fill 1 glass?
Answers
Answer:
P. Sue uses 1/6 of the pitcher to fill 1 glass
Step-by-step explanation:
Josephine wrote the numbers 1-100 and placed them in a bag.If she selects a number without looking what is the probability that the number is greater than 78
Answers
To order tickets online to a hockey game
Answers
Answer:
I'm not quite sure what the question is here but in order to buy tickets to a hockey game, you can type the hockey team or game into the web browser and select their website then select the time and dates you'd like to see the game
Hope this helps!
Geometry need help asap
Answers
On solving the provided question, we can say that - here in quadrilateral we have x + 146 + 47 + y = 360 => [tex]x= 83.5[/tex]
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here,
x + 146 + 47 + y = 360
2x + 193 = 360
2x = 167
[tex]x= 83.5[/tex]
To know more about quadrilateral visit:
https://brainly.com/question/29934291
#SPJ1
A piece of hematite contains 72% iron. If the hematite weighed 160g, how much iron would there be?
Answers
Step-by-step explanation:
160g=100%
72%=72/160*100
=45
Draw a diagram of x + 2, and a separate diagram of 3x, when x is 2.
Answers
The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.
The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.
What is diagram in mathematics?In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.
For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).
A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.
Learn more about diagram in brainly.com/question/11729094
#SPJ1
martha has 17 043 943 957 points. 16 000 points equivilates to 50 $ off. How much money does Martha save?
Answers
Of course, a businesswoman who is extremely wealthy. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line.
How did Martha make her money?Martha Stewart is a lot of things, including a person who built a nativity during her time in jail. Snoop Dogg's close friend. somebody with a large number of peacocks. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line She was, in reality, America's first woman billionaire who had achieved success on her own.Now that Martha is no longer a billionaire (more on why in a bit), it is time to analyze her wealth.Celebrity In 1999, Martha Stewart and her business partner Sharon Patrick combined all of their endeavours into Martha Stewart Living Omnimedia (MSLO), which they then listed on the New York Stock Exchange. By the time trading ended, the stock had increased from $18 per share to $38 per share, making Martha practically instantly worth $1 billion.To more Learn about Martha Stewart Refer To:
https://brainly.com/question/9327472
#SPJ1
Angelina has taken 27 of the 36 exams she needs to take to become a nurse. What percent of the exams has she taken?
Answers
The percentage of the exam that she has taken is 75%.
What percentage of the exam has she taken?Percentage is a measure of frequency that is used to express the ratio of an amount as a number out of 100. The sign that is used to represent percentage is %.
In order to convert a number to percentage, multiply the number by 100. In order to determine the percent of exams that she has taken, multiply the ratio of exams taken and the total number of exams by 100.
Percent of the exams she has taken = (number of exams taken / total number of exams) x 100
Percent of the exams she has taken = (27 / 36) x 100
Percent of the exams she has taken = 75%
To learn more about percentage, please check: brainly.com/question/1698278
#SPJ1
A principal of $3600 is invested at 3.5% interest, compounded annually. How much will the investment be worth after 12 years? Use the calculator provided and round your answer to the nearest dollar. X S
Answers
Answer:
$5043
Step-by-step explanation:
To find the value of the investment after 12 years, you can use the following formula:
A = P * (1 + r/n)^(nt)
Where:
A = final amount
P = principal
r = interest rate
n = number of times the interest is compounded per year
t = number of years
Plugging in the values from the problem, we get:
A = 3600 * (1 + 3.5/100)^(1*12)
Solving this equation, we get:
A = $5043.33
So, after 12 years, the investment will be worth $5043.33.
Round 0.2275 to the nearest hundredth
Answers
Answer:
0.23 is the answer
I wish you luck in your assignments.
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
Answers
Answer:
19
Step-by-step explanation:
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
25&25
If Karen Has 6 Less Then Kate, Karen Would Have 19 CDS
Hope This Helps
Someone please help me out
Answers
The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, when a figure is a dilation of another figure, the two figures are scale drawings.
For this problem, the ratio between the bases of the rectangles is given as follows:
12/6 = 2.
The ratio between the height of each rectangle is given as follows:
6/2 = 3.
As the ratios are different, the two figures are not scale drawings of one another.
For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.
More can be learned about dilation at brainly.com/question/3457976
#SPJ1
Which is 70% of 2,000?
A.14
B.70
C.140
D.700
E.1400
Answers
Answer:
Option E) 1400
Step-by-step explanation:
Based on the given conditions, formulate: 70‰ x 2000
Convert the percentage to decimals: 0.7 x 2000
Calculate the product or quotient: 1400
Hence , the answer is 1400
• Jason runs 8 miles in an hour and bikes 12 miles in an hour.
. This week, he runs a total of 3 hours and bikes a total of 6 hours.
Answers
He also bikes a total of 126 = <<126=72>>72 miles this week.
In total, Jason runs and bikes a total of 24+72 = <<24+72=96>>96 miles this week.
4. Of the three elevations, -2 feet, -12 feet, and
30 feet, which represents the least number?
Which represents the farthest distance from
sea level?
Answers
On solving the provided question, we can say that - y proportional to as the cube of s, y = ks3, then 8 = k * 23 => k = 1 then y = 1 * 53 = 125
what is directly proportional?If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.
Since y proportional to as the cube of s, y = ks3.
8 = k * 23 => k = 1
then y = 1 * 53 = 125
To know more about directly proportional visit:
brainly.com/question/2548537
#SPJ1
The population of a town grows uniformly at the rate of 4% every year. In how many years will the population of the town grow from 15,62,500 to 17,57,600?
Answers
Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.
What is percentage?A figure or ratio that is stated as a percentage of 100 is referred to as a percentage in mathematics. However, the percent symbol ("%) is usually used to denote it." The percent amount is flat. When the numerator is 100, percentages are really just fractions. Put the standard form (%) next to a number to show that it is a percentage. For instance, if you correctly respond to 75 out of questions in total on a test, you receive a 75% (75/100).
Here,
Given: 1757600 more people overall
Population as of now: 1562500
According to the issue,
=> 1562500[tex](1 + 4/100 )^{n}[/tex] = 1757600
=> [tex](26/25)^{n}[/tex] = 1757600/ 1562500
=> [tex](26/25)^{n}[/tex]= [tex](26/25)^{3}[/tex]
On comparing,
n=3
Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.
To know more about percentage visit:
brainly.com/question/29306119
#SPJ1
Round 0.21545977 to the nearest hundredth
Answers
Answer:
0.22
Step-by-step explanation:
Since 5 rounds up, it would be 0.22
Answer:
0.22 Is the answer.
I wish you luck on your assignments.
First five terms to the sequence a(n+1) = 5a(n) and a(1)=2 for n[tex]\geq[/tex]1
Answers
The required first five terms of the sequence are 2, 10, 50, 250, and 1250.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The first five terms of the sequence, a(n), defined by the recurrence relation a(n+1) = 5a(n) and a(1) = 2, are as follows:
a(1) = 2
a(2) = 5a(1) = 5 × 2 = 10
a(3) = 5a(2) = 5 × 10 = 50
a(4) = 5a(3) = 5 × 50 = 250
a(5) = 5a(4) = 5 × 250 = 1250
Therefore, the first five representations of the sequence are 2, 10, 50, 250, and 1250.
Learn more about arithmetic sequence here:
brainly.com/question/21961097
#SPJ1
Max is designing a hot tub for a local spa. He wants the hot tub to have a diameter of 88 inches, What is the approximate area required for the installation of the hot tub? (Use 3.14 for .)
Answers
The area of the hot tub is 6079.04 in²
How to determine the area required for the installation of the hot tub?
To determine the approximate area required for the installation of the hot tub. You can use the area of a circle.
The area of a circle is given by A = πr²
where r is the radius of the circle
Since the hot tub to have a diameter of 88 inches, the radius will be 88/2 = 44 inches. π = 3.14.
Thus, area of the hot tub will be:
Area of hot tub = 3.14 × 44² = 6079.04 in²
Learn more about area of circle on:
brainly.com/question/15673093
#SPJ1
each day you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities.
Answers
Answer:
Let y be the expression for the minutes you do both activities.then
y=m+30 is the required expression
find the value of r so the line that passes through each pair of points has the given slope (5, 3), (r, -5), m=4
Answers
Answer:
r=3
Step-by-step explanation:
use slope formula : y2-y1 / x2-x1
-5-3 / r-5
the numerator is -8 which means the denominator has to be -2 in order to have the slope be 4
so r-5 = -2
3-5 = -2