Answers
Knowing the base and the height, the area of the parallelogram is calculated by its formula:
A1 = b * h
Where
b: base
h: height.
We have then
b = root ((- 4 - (- 10)) ^ 2+ (2-2) ^ 2) = 6
h = root ((- 7 - (- 7)) ^ 2+ (3-2) ^ 2) = 1
A1 = (6) * (1) = 6 units ^ 2
Rectangle area
A2 = L * W
Where
L: long
W: Wide
We have then:
L = root ((1 - (- 2)) ^ 2 + (- 3 - (- 4)) ^ 2) = 3.16227766
W = root ((- 4 - (- 2)) ^ 2+ (2 - (- 4)) ^ 2) = 6.32455532
A2 = (3.16227766) * (6.32455532)
A2 = 20 units ^ 2
The total area is the sum of both ares:
A = A1 + A2
A = 6 + 20
A = 26 units ^ 2
Answer:
the area of this figure
A = 26 units ^ 2
Related Questions
You deposit $350 in a savings account. The account earns 2.5% simple interest per year. What is the balance after 2 years?
Answers
Answer:
Balance = $367.5
Step-by-step explanation:
The 2.5% of $350 is,
→ (350/100) × 2.5
→ 3.5 × 2.5
→ $8.75
The balance after 2 years is,
→ $350 + (2.5%) × 2 years
→ 350 + 8.75 × 2
→ 350 + 17.5
→ $367.5
Hence, the answer is $367.5.
The balance after 2 years on principle amount of $350 at the rate of 2.5% will be $525.
What is Simple interest?The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.
Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.
As per the information in the question,
Principle amount, p = $350
Rate, r = 2.5%
Time, t = 2 years.
Use the formula of simple interest,
[tex]S.I = (p*r*t)/100[/tex]
S.I = (350 × 2.5 × 2)/100
S.I = 17500/100
S.I = 175
Now, the total amount will be,
$350 + 175 = $525
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What is the equivalent factored form of 12x^4-42x^3-90x^2
Answers
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)
6x^2(2x^2 - 7x - 15) =
6x^2(2x+3)(x - 5) <==
hope this helped :)
alisa202
A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter: 3 meters. How wide is the model?
Answers
Answer: 6 centimeters
Step-by-step explanation: I took the test and got this answer correct :)
1. A parallelogram with four congruent sides is a? 2. A polygon with all angles congruent is a? 3. Angles of a polygon that share a side are? 4. A blank is a quadrilateral with exactly one pair of parallel sides?
Answers
25 POINTS TO WHO EVER ANSWERS!!!
1. An ice cream store owner randomly samples 50 customers each day on three separate days to give their opinion about which flavors should be flavor of the month.
Vanilla | Chocolate | Rocky Road | Cheesecake
Day 1: 13 | 12 | 11 | 14
Day 2: 12 | 15 | 11 | 14
Day 3: 15 | 7 | 8 | 20
Select from drop-down menu to complete the statement using the information in the "table".
Based on the results of the survey, if the ice cream store owner asks 2300 people, ____ will most likely pick vanilla to be flavor of the month.
2. The line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night.
x
x
x x
x x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10
x x
x x x
x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10
Select from the drop-down menus to complete each statement.
The range ________. The mean __________.
1. answers: 40, 150, 460, or, 613
2 A. answers: is greater for boys, is greater for girls or, us the same for both sets of data
2 B. answers: is the same for both sets of data, is greater for the boys or, is greater for the girls
Answers
how many kilograms is in 2,500 dekagrams
Answers
Kilo
Hecto
Deka
meter/liter/gram
Deci
Centi
Milli
That’s the order you should memorize. Hope this helped!
Round 0.68 to the nearest tenth
Answers
Answer:
0.7
Step-by-step explanation:
how to solve this ? the question asked, the distance between two houses P&Q is 200 kilometer. Joe travel by car from P to Q at average speed of x km/h
a) write down an expression in terms of X for the number of hours he took to travel from P to Q.
b) he returned from Q to P at an average of (x + 5) km/h. write down an expression in terms of X for the number of hours he took to travel from Q to P
c) the total time he took to go from P to Q & to return from P to Q was 8 hours
Answers
Hey !!
Check the attachment.
Hope it helps you :)
the elevation of Denver Colorado is 13 times greater than that of waikapu. hawaii.the sum of their elevations is 5600 ft. find the elevation of each city
Answers
Answer:
400ft
Step-by-step explanation:
The elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet, derived from a simple algebraic equation based on their given relationship and sum of elevations.
We are given that the elevation of Denver, Colorado is 13 times greater than that of Waikapu, Hawaii, and the sum of their elevations is 5600 ft. To find the elevation of each city, we can set up a system of equations.
Let x represent the elevation of Waikapu, then the elevation of Denver is 13x. According to the problem, we can set up the equation as follows:
x + 13x = 5600
Combining like terms gives us:
14x = 5600
Dividing both sides by 14 to isolate x gives us:
x = 5600 / 14
x = 400
Now that we have the elevation of Waikapu, we can find Denver's elevation by multiplying 400 by 13:
Denver's elevation = 13 x 400 = 5200 ft
Therefore, the elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet.
What is the slope of the graph shown below?
Answers
Answer: The correct option is (A) 4.
Step-by-step explanation: We are given to find the slope of the graph shown in the figure.
We can see that the graph is a straight line.
Also, the line passes through the points [tex](0,-3)[/tex] and [tex]\left(\dfrac{3}{4},0\right).[/tex]
We know the slope of a straight line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{0-(-3)}{\frac{3}{4}-0}\\\\\\\Rightarrow m=\dfrac{3}{\frac{3}{4}}\\\\\\\Rightarrow m=3\times\dfrac{4}{3}\\\\\\\Rightarrow m=4.[/tex]
Thus, the required slope of the graph is 4.
Option (A) is correct.
A survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. The number of hours are given in the line plots.And please explain how you got the answer
Answers
boys: 15 - 8 = 7
girs: 15 - 3 = 12
so girls have greatest range
Median:
boys = 12
girls = 6.5
so boys have greatest median
answer:
first drop down: girls have greatest range
second drop down: boys have greatest median
The date set with the greater range is neither as the range is the same.
The median is not the same for both sets of data.
What is a median?
It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Number of boys = 10
The number of hours from the 10 boys.
= 8, 10, 10, 10, 12, 13, 14, 15, 15, 20
Range = Highest value - Lowest value
= 20 - 8
= 12
Median = (12 + 13)/2 = 25/2 = 12.5
Number of girls = 10
The number of hours from the 10 girls.
= 3, 4, 4, 4, 6, 7, 8, 10, 10, 15
Range = Highest value - Lowest value
= 15 - 3
= 12
Median = (7 + 8)/2 = 15/2 = 7.5
Thus,
The range of both boys and girls is the same.
The median of boy's number of hours is 12.5.
The median of girl's number of hours is 7.5.
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instruction: You must show all of your work bysl setting up the problem using combinatorics and simplifying completely.
question: There are 5 red marbles and 9 blue marbles in a bag. suppose two of the marbles are cracked. how many ways can four marbles be selected so that either no cracked marbles are selected or just one cracked marble is selected?
Answers
To get 0 cracked marbles, there are 12C4 ways (to draw 4 marbles out of the 12 uncracked ones only). 12C4 = 495 ways
To get 1 cracked marble, we need 3 to be from the 12 uncracked ones, and 1 from the 2 cracked ones. This means there are 12C3 x 2C1 = 440 ways
So the total number of ways is 495 + 440 = 935 ways.
What symbol should be placed in the blank to make the equation true? 3 + 10___ 2 - 4 = 4
Answers
A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Answers
----------
The volume of the prism is 26.25 inches
----------
WORK: 3.5*3.5*1.5=26.25
----------
Have a great day!
Answer:
26.25
Step-by-step explanation:
I took the test.
e vertices of a trapezoid are shown below. P(0, 0), Q(2, 0), R(2, 5), S(0, 10) This trapezoid is dilated about the origin by a scale factor of 3. What is the location of point Q'?
Answers
The location of point Q' after the dilation is (6, 0).
What is dilation?Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.
To dilate the trapezoid by a scale factor of 3 about the origin, we need to multiply the coordinates of each vertex by 3.
The coordinates of Q are (2, 0), so to find the coordinates of Q' after the dilation, we multiply both the x and y coordinates by 3:
Q' = (32, 30) = (6, 0)
Therefore, the location of point Q' after the dilation is (6, 0).
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combine the like terms 10 y + 1 x - 4y + 4x
Answers
.....................................................................................................
We begin with the expression:
10y+1x-4y+4x
First, we are going to combine the x terms. To do this, we use simple addition, similarly to if the variable x wasn’t there. We get:
10y-4y+5x
Next we are going to do the same thing with the y terms.
6y-5x
Because there are no more like terms left to combine, this is the most simplified answer that you can achieve for this question.
Hope this helps!
A student used the equation below to create a table.
y = –3x – 5
The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
A. (–11, –2)
B. (–2, –11)
C. (–2, 1)
D. (1, –2)
Answers
Hope this helps<3
Of the 304 people who attended the school play,5/8 were students.How many of the people who attended were students?
Answers
how do you write this in numerical expression and in a answer statement
Answers
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run? Round your answer to the nearest meter.
Answers
The distance covered by a player on a rectangular football field will be 118.73 meters.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.
Then the distance covered by a player on a rectangular football field will be given by the Pythagoras theorem.
H² = 100² + 64²
H² = 10000 + 4096
H² = 14096
H = 118.73 meters
The distance covered by a player on a rectangular football field will be 118.73 meters.
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What is 14.281 rounded to the nearest one?
Answers
Josie selected a number n. She divided n by 2 and then subtracted 0.5 from the result. She took half of that result and then subtracted 0.5 to get the final result of 10. What is the value of n?
Answers
to get this just do the problem backwards from 10 witch you would add .5 to get 10.5 and then multiply by 2 to get 21 then add .5 again to get 21.5 then you multiply it again by 2 to get the answer of 43
hope this helps GL
What is the volume of the pyramid to the nearest whole unit?
A. 1,134 yd^3
B. 567 yd^3
C. 378 yd^3
D. 284 yd^3
Answers
= 1/3 * 9 * (9*14) = 378 yd^3 Answer
15 POINTS!! HELP ME PLZ!!!
In conducting a survey of voters, a pollster selected every tenth name on a list of registered voters.
Which sampling technique did the pollster use?
a) convenience sampling
b) stratified sampling
c) systematic sampling
d) voluntary sampling
Answers
The answer is C: systematic sampling
Answer:
The awnser is C
Step-by-step explanation:
What is the next expression in the following pattern: 4n; 8n; 16n???
Answers
When a class took a math test, 15% of the class failed, 25% made some mistakes (but didn’t fail), and 24 students got perfect scores. How many students were in the class?
Answers
24 students X students——————- = —————-60% of class 100% of class
Next, cross multiply to get 2400 = 60X. Divide both sides by 60 and you’ll get 40. There are 40 students in the class.
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Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
Answers
0.5x=1.5
x=3
after 3 hrs the price will be the same
Can someone help me on both of the questions?!
Answers
Explanation:
Pressure is force per unit area. Mathematically, we can write Pressure as follows:
[tex]P = \frac{F}{A} [/tex] --- (1)
Where P = Pressure = ?
F = Force = 140N
A = Area = 2.0m²
Plug in the values in (1):
P = 140/2.0
P = 70 N/m²
(2) The air particles in the inflated balloon are in chaotic motion. They are moving randomly and colliding with each other and with the inner wall of the balloon, exerting pressure on the wall of the balloon. Furthermore, they are far apart from each other, which is why when you squeeze the balloon, its shape changes accordingly as long as you are putting pressure on it while squeezing.
Step-by-step explanation:
The expression for the pressure in terms of force is as follows;
[tex]P= \frac{F}{A}[/tex]
Here, F is the force, P is the pressure and A is the area.
It is given in the problem that an object exerts 140 N of force on a surface that has an area of 2.0 meter square.
Put F= 140 N and A= 2 meter square in the above expression.
[tex]P= \frac{140}{2}[/tex]
[tex]P= 70 N/m^2[/tex]
Therefore, the pressure exerts on the object is 70 N/m^2.
The motion of air particles inside an inflated balloons:
In the inflated balloons, the molecules of air are far apart. These molecules are in random motion. They collide each other inside the surface of the balloons. The pressure will be exerted by the air molecules on the surface of the balloons. The pressure caused by atmospheric molecules collides with the outside the surface is equal to the pressure caused by atmospheric molecules collides with inside the surface of the inflated balloons. Therefore, the volume of the balloons remains constant.
One lap around the track is 1/4 mile. Abby ran around the track 13 times.How far did she run?
Answers
=13 * 1/4
multiply 13 by the numerator
=(13*1)/4
=13/4
convert to mixed number
=3 1/4 miles
ANSWER: The track is 3 1/4 miles.
Hope this helps! :)
macy is trying to construct an isosceles triangle. She assigns and angle measurement of 40 degrees to the unique angle of the triangle. She wants the length fo the opposite side (the base) to be 6 centimeters. How many isosceles triangles can macy construct using this information? A. 3 cm B. 10 centimeters, C. 12 Centimeters D. 14 centimeters, E. 18 centimeters
Answers
(180-40)/2=70
given that that the base is 6 cm, Macy can only form 1 triangle with these dimensions.
The length of the other sides will be found using sine rule
a/sin A=b/sin B
a=6 cm
A=40°
b=?
B=70
hence:
6/sin 40=b/sin 70
b=(6sin 70)/sin40
b=8.77 cm
Answer:
the awnser is 2
Step-by-step explanation:
if she makes more that 2 the 3rd one wont be an isosoceles triangle