if the pth , qth and rth terms of an A.P be a,b,c respectively, then show that a (q-r)+b (r-p)+c(p-q)=0
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Related Questions
barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm to the nearest cubic centimeter what is the volume of an ice cube from barry's tray 2cm2 8cm3 25 cm3 101 cm2
Answers
the volume of a cone=(1/3)*pi*r²*h
where
r is the radius
h is the height
in this problem
diameter=2 cm
so
r=diameter/2-----> r=2/2-----> r=1 cm
h=2 cm
volume of a cone=(1/3)*pi*1²*2------> 2.09 cm³------> 2 cm³
the answer is
2 cm³
2 cm²
Explanation
The volume of a cone is found by the formula;
Volume =1/3 πr² h
Where π=3.142
r=2/2=1 cm
h=2 cm
Volume = 1/3×3.142×1²×2
2.09466667
To the nearest whole number the answer is 2 cm².
the side length of each cube is 2 1/2 inches. What is the volume, in cubic inches, of the rectangular prism?
Answers
V = lwh
V = (2.5)(2.5)(2.5)
V = 15.625
The volume is 15.625 cubic inches
a) Solve the first equation, -3A + 3 = -24, to find the coordinate of Point A. Show your work. (2 points)
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Divide by -3
A -1 = 8
Add 1
A = 9
(2 square root 7+3 square root 6)(5 square root 2+4 square root 3)
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What is (-102.75) divided by (-3) rounded to the nearest hundredth
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Answer:
34 .25.
Step-by-step explanation:
Given : (-102.75) divided by (-3).
To find : value rounded to the nearest hundredth.
Solution : We have given (-102.75) divided by (-3).
On dividing
[tex]\frac{-102.75}{-3}[/tex].
⇒ 34 .25
It is already nearest hundredth.
Therefore, 34 .25.
the circumference of a circle can be found using the formula c = 2r
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Cant use pi sybol
Answer: the answer is c: R=C/2pi
I can't do the pi simbol
Someone please help me with number 16
Answers
Area of wall = [tex] 94 \frac{47}{48} [/tex] ft
Explanation:
First, we know that:
1 in = 1/12 ft
Therefore, the dimensions of the wall would be as follows:
H = 7 ft 10 in = [tex] 7 \frac{10}{12} [/tex] ft
B1 = 10 ft 2 in = [tex]10 \frac{2}{12} [/tex] ft
B2 = 14 ft 1 in = [tex]14 \frac{1}{12} [/tex] ft
For the trapezium, area can be calculated using the following the following formula:
Area of trapezium = Average base * height = [tex] \frac{B1 + B2}{2} [/tex] * height
Substitute with the given to get the area as follows:
Area of wall = ([[tex]10 \frac{2}{12} [/tex] + [tex]14 \frac{1}{12} [/tex]] / 2) * [tex] 7 \frac{10}{12} [/tex]
Area of wall = [tex] 94 \frac{47}{48} [/tex] ft
Hope this helps :)
The dimensions of mr. tai's living room are 10 feet x 18 feet x 8 feet.What is the total volume,in cubic feet,of the rooms?
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[tex]10 \times 18 \times 8[/tex]
[tex]10 \times 8 = 80[/tex]
[tex]80 \times 18 = 1440[/tex]
[tex]v = 1440 \: cubic \: feet[/tex]
A painter starts with a blank 36-inch by 24-inch piece of rice paper. The painter wants to leave a uniform border x inches wide along the outer edges so that the painting can be framed. Write a polynomial in standard form that represents the area of paper that can be painted.
Answers
Height= H=36-2x
Area of paper that can be painted: A=BH
A=(24-2x)(36-2x)
A=864-48x-72x+4x^2
A=4x^2-120x+864
Answer: The area of paper that can be painted is 4x^2-120x+864
What is the value of x? Show all of your work. Round your answer answer to the nearest tenth.
Answers
Since it is a right triangle, it has to be 90 degrees. If you add 35.7 and 41.2, you get 76.9. So, 90-76.9=13.1
how long will it take for the pool to completely fill with water? (explain why so i understand) it’s a 120 gallon pool
Answers
To find out how much can be filled in 1 minute, take the time and divide it into the volume. We'll use the second row (2 minutes and 8 gallons.)
8/2=4. So it takes 1 minute to fill 4 gallons. Now, you just divide 4 into 120.
120/4=30
It takes 30 minutes to fill the pool up to 120 gallons.
how do u write 0.16 in words
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Can someone help please
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Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.
Find the mean, median, mode, and range of this data : 49,49,54,55,52,49,55.
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median : Put the numbers in order from smallest to largest and the middle number is the answer.
Mode: 49
Range:6
Can someone please answer this question? Make sure to give a explanation.77 points.
Patrice buys 15.70 gallons of gas for $2.799 per gallon.
How much does Patrice pay for gas?
Give your answer with the appropriate precision.
A.
$43.90
B.
$43.94
C.
$43.95
D.
$44.00
Answers
(Please mark Brainliest and if you have questions just ask me!)
Is (20 x 76) + ( 5 x 76 ) a finding the area or perimeter problem?
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What percent of 120 is 78?
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0.65 = 65%
Hope this helped☺☺
hope this helps
Is 6,12,24 arithmetic or geometric?
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Rewrite the following equation in slope-intercept form. 17x + 4y = -14 Write your answer using integers, proper fractions, and improper fractions in simplest form.
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y = [tex] \frac{-17}{4} x[/tex] - [tex] \frac{7}{2} [/tex]
Explanation:
The slope-intercept form of an equation has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
17x + 4y = -14
To put this in slope-intercept form,we will need to isolate the y as follows:
17x + 4y = -14
4y = -17x - 14
y = (-17/4)x - (14/4)
y = [tex] \frac{-17}{4} x[/tex] - [tex] \frac{7}{2} [/tex]
where:
m is the slope = -17/4
c is the y-intercept = -7/2
Hope this helps :)
Y= 0
17x = -14
X=-14/17
X=0
4y= -14
Y= -14/4
A round table has a diameter of 28 inches. What is the area of the tabletop? Use 22/7 for 3.14.
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Your gross pay is $1,843.45. Your involuntary deductions are FICA (7.65%), federal withholding (9%), and state withholding (6.5%). How much are you allowed for housing and fixed expenses?
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1,843.45(0.2315)=426.76
1,843.45-426.76=1,416.69
$1,416.69 for housing and expenses
Answer:
510.01
Step-by-step explanation:
A triangle has an area of 180 square inches and a base of 18 inches. What is the height?
Answers
A = 1/2(b)(h)
180 = 1/2(18)(h)
180 = 9h
20 = h
Tameron is driving 540
miles to college.
He drives at a rate of 45
miles per hour.
How many hours will it take him to get 34
of the way there?
Answers
Do 540 ÷ 45 as you're first step. Then multiply that by 3/4.
540÷4= 12.
12 × 3/4 = 9. Awnser: 9Answer:
[tex]\Delta t=9\: hours[/tex]
Step-by-step explanation:
1) If Tameron is driving 540 miles at a rate of 45 mph, then he may take 12 hours to make that trip. We'll use the formula below, that relates the rate for average speed is equal to the variation of space over the variation of time.
[tex]V_{m}=\frac{\Delta s}{\Delta t}\Rightarrow 45=\frac{540}{\Delta t}\Rightarrow \Delta t=\frac{540}{45}\Rightarrow 45\Delta t=540\:\Rightarrow \Delta t=\frac{540}{45}\Rightarrow \Delta t=12[/tex]
2) Although if he's already done 1/4 of the way , i.e. 135 miles then he's left with [tex]\frac{3}{4}[/tex]of the track to go.
Assuming He'll keep the speed rate,
[tex]\Delta t=\frac{540*\frac{3}{4}}{45}\Rightarrow \Delta t=9\: hours[/tex]
write 30% as a fraction in its simplest form
Answers
30% would be 0.3 of 1.
If this would be the case, we would then simplify this into a fraction and make it look like 3/10.
We do this because 30% is .3 of 1, like we already considered, and because of this, 10=1, and 3=30%.
Your answer: 3/10
[tex]\boxed{3/10}[/tex]
30% as a fraction in simplest form is 3/10.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given decimal number 0.65 into a fraction by converting it into a percentage as follows;
0.65 = 65/100
By dividing both sides by 5, we have:
Fraction: 65/100 = 13/20.
Read more on fraction here: brainly.com/question/29367657
#SPJ634% as a fraction in simplest form is: D. 17/50.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given percentage 30% into a fraction by dividing as follows;
30% = 30/100
By dividing both the numerator and denominator by 10, we have:
Fraction: 30/100 = 3/10.
Read more on fraction here: brainly.com/question/29367657
#SPJ6
Sarah needs to buy 3 identical shirts to wear. She had $15 gift certificate. Including using the gift certificate, she can spend no more than $80. Which inequality can be used to determine the possible costs for a shirt ?
Answers
Three shirts = 3s.
3s + 15 ≤ 80 (Answer F)
The inequality that can be used to determine the possible costs for a shirt is 3x ≤ 65, where x represents the cost of each shirt. Therefore, the possible costs for a shirt must be less than or equal to $21.67.
Explanation:To determine the possible costs for a shirt, we can use the inequality 3x ≤ 80 - 15,
where x represents the cost of each shirt. The left side of the inequality, 3x, represents the total cost of the 3 shirts. The right side of the inequality, 80 - 15,
represents the amount Sarah has left to spend after using the gift certificate.
Simplifying the inequality, we get 3x ≤ 65.
To find the maximum cost for each shirt, we divide both sides of the inequality by 3, giving us x ≤ 21.67.
Therefore, the possible costs for a shirt must be less than or equal to $21.67.
Learn more about Inequality here:https://brainly.com/question/40505701
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How far is it from the log ride to the pirate ship?
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The question seems to ask for the distance between two amusement park rides but actually gives details about the pendulum motion of a pirate ship ride. Without specific distance data or a park map, the physical distance cannot be determined from the given information. Physics concepts like kinetic energy can be discussed, but they don't provide the actual distance.
Explanation:The question relates to the concept of pendulum motion within the field of physics. The student is seemingly referring to the distance between two rides in an amusement park: a log ride and a ride that is shaped like a pirate ship, which operates similarly to a pendulum. Since the question does not provide specific distances between the two rides, the answer would typically involve measuring the distance directly on-site or consulting a park map. However, the information given does describe the motion of the pirate ship ride. The ride is akin to a rigid pendulum, and it reaches a speed of 23.4 m/s at the bottom of its circular arc. This information can be used to discuss the kinetic energy and potential energy exchanges during the ride, but not the physical distance between the rides. To measure the distance in the park, one would likely need additional information about the park layout or GPS measurements.
There are 9860 students in a population of 62400 people what percent of the total population is students
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Hope this helped!
2(3r+7)−(2+r) write an equivalent expression
a. 4r+12
b. 5r+13
c.5r+12
d.5r-12
PLEASE HELP!!
Answers
Proof:
Simplify the following:
2 (3 r + 7) - (r + 2)
2 (3 r + 7) = 6 r + 14:
6 r + 14 - (r + 2)
-(r + 2) = -r - 2:
14 + 6 r + -r - 2
Grouping like terms, 14 + 6 r - 2 - r = (6 r - r) + (14 - 2):
(6 r - r) + (14 - 2)
6 r - r = 5 r:
5 r + (14 - 2)
| 1 | 4
- | | 2
| 1 | 2:
Answer: 5 r + 12
2(3r + 7) - (2 - r)
Simplify.
6r + 14 - 2 - r
Add like terms.
(6r - r) + (14 - 2)
Simplify.
5r + 12
Look at our given answer choices.
Our answer is c. 5r + 12
~Hope I helped!~
Then I am mile in 6.54 minutes round this number to the nearest minute
Answers
To the nearest minute means to the nearest ones.
So, 6.54 becomes 7.
Answer: 7 minutes.
What is -15.4 + 25.2+(-10.4)
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-15.4 + 25.2 = 9.8
9.8 + (-10.4) = 0.6
Hope this helped. :)