Step-by-step explanation:
mass(m)= 3kg
height(h)= 2m
gravity(g)= 9.8 m/s^2
P.E.= mgh
=3*2*9.8
=58.8 Joule
Answer:
58.84 Joules
Step-by-step explanation:
3(Mass)*2(Height)*9.8=58.84J
Please help me? I really need the answer.
Answer:
20
Step-by-step explanation:
Let the number of people be x.
Rs. 1000 is distributed equally among x people, so each person gets 1000/x.
If there were 5 people more, there would be x + 5 people.
Then, each person would get 1000/(x + 5). Each of the x + 5 people would get Rs. 10 less than before.
1000/x - 10 = 1000/(x + 5)
Multiply both sides by the LCD, x(x + 5).
x(x + 5) × 1000/x - x(x + 5) × 10 = x(x + 5) × 1000/(x + 5)
(x + 5) × 1000 - (x² + 5x) × 10 = x × 1000
1000x + 5000 - 10x² - 50x = 1000x
5000 - 10x² - 50x = 0
10x² + 50x - 5000 = 0
x² + 5x - 500 = 0
(x + 25)(x - 20) = 0
x + 25 = 0 or x - 20 = 0
x = -25 or x = 20
The actual number of people is 20.
Check:
Rs. 1000/20 = Rs. 50
Rs. 1000 divided equally among 20 people gives Rs. 50 per person.
If there are 5 people more, then there are 25 people.
Rs. 1000/25 = Rs. 40
Rs. 1000 divided by 25 people gives Rs. 40 per person which is Rs. 10 less per person.
Our solution is correct.
PLSS HELPPPPppppppppppppppppPPP
Answer: 30 degrees
Step-by-step explanation:
The x value is known, which x is equal to 5. To solve the angle of RSP, substitute x = 5.
RSP = x + 25 = 5 + 25 = 30 degrees
A window seat is in the shape of a trapezoid. Write the polynomial that represents the area of the window seat.
The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
What is the Area of a Trapezoid?Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
Learn more about area of trapezoid on:
https://brainly.com/question/1463152
The sum of 5 consecutive even numbers is 200
Answer:
36, 38, 40, 42, 44
Step-by-step explanation:
We can denote an even number as 2n (where n is a natural number).
Each consecutive even number will be 2 more than the previous number.
Let 1st number = 2n
⇒ 2nd number = 2n + 2
⇒ 3rd number = 2n + 4
⇒ 4th number = 2n + 6
⇒ 5th number = 2n + 8
Sum of all 5 numbers is 200.
⇒ 2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 200
⇒ 10n + 20 = 200
⇒ 10n = 180
⇒ n = 18
If n = 18, then 2n = 36
Therefore, the numbers are 36, 38, 40, 42, 44
1 5/6 * 2 * 3/4 + 1 5/6 * 1 * 3/4
Answer:
3 2/3
Step-by-step explanation:
Do the multiplications and then convert the denominator to the same number. Then add the fractions/numbers.
1 5/6 = 11/6
1 5/6 * 2 * 3/4 + 1 5/6 * 1 * 3/4
(11/6)*(2)*(3/4) + (11/6)*(1)*(3/4)
(11/6)*[(2)*(3/4) + (1)*(3/4)] [Factor out (11/6) to make it easier to calculate, if you want]
((11/6)*(6/4) + (11/6)*(3/4))
(66/24) + (22/24) [The denominators are now both 24, so the numerators may be added]
88/24 = 3 (16/24) or 3 2/3
(11/6)*(2)*(3/4)
(11/6)*(1)*(3/4)
What is the value of the product (3 – 2i)(3 + 2i)?
5
9 + 4i
9 - 4i
13
Answer:
D. 13
Step-by-step explanation:
3(2+100)/4 which equation is solved for s
Answer: 76.5 I'm assuming the question is asking for the answer of 3(2+100)/4
Step-by-step explanation:
3(2+100) would become 3x102 which is 306 and when you divide it by 4 it becomes 76.5
please help thank you
Answer:
Step-by-step explanation:
Write the number 0.09 fraction form
Answer:
9/100
Step-by-step explanation:
Class : IX
Subject : Mathematics Assignment 7: Area of Triangles
Formula)
1. The sides of a triangle are 8cm, 15cm and 17cm, find its perimeter and its area. Also find the lengt
altitude drawn on the side with length 17cm.
Step-by-step explanation:
a=8cm
b=15cm
c=17cm
s=a+b+c/2
=8+15+17/2
=40/2
=20
Using heron's formula,
ar. of triangle= √s(s-a)(s-b)(s-c)
=√20(20-8)(20-15)(20-17)
=√20×12×5×3
=√2×2×5×2×2×3×5×3
=2×2×3×5
=60cm²
On side 17cm,
Ar. of triangle=1/2×b×h
60=1/2×17×h
∴h=60×2/17
=7.05 cm
Answer:
c
Step-by-step explanation:
ILL GIVE BRAINLY THING
Your class raised funds for an end of the year trip to an amusement park. It costs $150.00 to rent a school bus for the day plus $33.00 per student admission ticket. If your class raised $1000.00, how many students can attend?
Write an equation and solve
Answer:
25
Step-by-step explanation:
1000≥150+33(s)
1000-150=850
850≥33(s)
850/33=25.(numbers that don't matter because you can't have a decimal of a student)
You can take at most 25 students because you cant have a half a student.
Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges cost $0.75 more than one pound of bananas let b represent the price per pound of bananas. Which equation represents the situation, and what is the price per pound of each fruit?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Let banana = b
Oranges = a
3b + 2a = 4.50 - - - (1)
a = 0.75 + b - - - (2)
Substitute (2) into (1)
3b + 2(0.75 + b) = 4.50
3b + 1.5 + 2b = 4.50
5b = 4.50 - 1.50
5b = 3
b = 3/5
b = $0.6
a = 0.75 + 0.6
a = $1.35
harold must write a 2000 word composition for a history assignment of 480 words fill 3 pages how many pages will harlod have to write to complete the assingment
There are 800 students in Aiden's middle school. Aiden wants to know how many families at his school recycle. Which would provide the best sample?
A) Ask 80 students randomly selected from a student list
B) Ask 8 students randomly selected from each grade
C) Ask the students who are members of the environmental club
D) Ask all the students in student government
Also can you please explain why the letter you chose is a good sample?
Plus, if you're answering this question, thank you so very much.
Will give Brainliest, like, comment, 5 stars, and 5 points to best answer
Write an equation for converting the number of meters to kilometers. Use X for number of meters and Y for numbers of Kilometers.
Y= ?
A kite is inscribed within a square with a side lengths of 9 units. A kite is inscribed in a square with a side length of 9 units. What is the area of the kite? 27. 5 square units 36. 0 square units 40. 5 square units 45. 0 square units.
Answer:
40.5 Units
Step-by-step explanation:
The area of a kite is A = (d1d2) / 2, where d1 and d2 are the diagonals of the kite.
Since the kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.
d1 = 9 units
d2 = 9 units
A = (9units * 9units) / 2
A = 81units² / 2
A = 40.5 units²
What actually the value of X because I’m still processing how this goes. Can someone pls help me
Answer:
x= 50
Step-by-step explanation:
I forgot what it's called but basically 101+x+29= 180 because it's straight line. So you can just go ahead and add 29 and 101 to get 130 and subtract that from 180 to get 50.
100 POINTS !!!!!
Michael has a lunch account at the cafeteria. Michael can estimate the amount of money left in his lunch account using the equation y = 48 - 5x, where x represents the number of days he eats lunch. What is the meaning of the slope in the equation?
A. Michael has $48 in his lunch account.
B. Michael spends $5 per day eating lunch at the cafeteria.
C. Michael has $43 in his lunch account after eating one day.
D. Michael spends $10 of his lunch account after eating two days.
Answer:
B. Michael spends $5 per day eating lunch at the cafeteria.Step-by-step explanation:
Given linear equation:
y = 48 - 5xMeaning of each term is:
y - money left in account48 - the y-intercept, the intial amount of money in Michael's account- 5 - the slope, money spent every dayx - number of daysAccording to above details the correct answer choise is B
Answer:
b
Step-by-step explanation:
bc i did the schoolnet thingy
HELP!!!
Find the circumference. Don't forget to label your answer.
» The diameter of a circle is 11 in. What is the circle's circumference?
Answer:[tex] \blue{\bold{34.54 \: \:in}}[/tex]— — — — — — — — — —
Step-by-step explanation:To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.
— Multiply the diameter with π in order to get the circumference of a Circle.
[tex] \sf \: given : \underline{ \tt \: d = 11 \: in \: } \\ \\ \tt \: \: C = π × d \tt \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14×11 \: in \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \underline{ \boxed{ \purple{ \bold{ 34.54\:in}}}}[/tex]
Therefore, the circumference of the circle is 34.54 inches.
_______________∞_______________
Answer:
[tex]\displaystyle 34,557519189...\:in.[/tex]
Step-by-step explanation:
Split the diametre in half before proceeding:
[tex]\displaystyle \pi{d} = C \\ \\ 11\pi = C \hookrightarrow \boxed{34,557519189... = C}[/tex]
I am joyous to assist you at any time.
A. To help her parents pay her tuition fee. Fhed save P5 more each week than she does precending week her savings in the first week
1. How much will she save on the twenty-fourth week ?
2. How much will she have in all by the twenty-four week?
Answer:
1. 120 P
2.tuition fee + 120
Step-by-step explanation:
1. you have to multiply 24 x 5 (24 represents the weeks , while 5 is how much she saved in a week )
2.tuition fee is unknown and the money earned in week is 120 . so the total cost will be the tuition fee plus 120 , in the twenty fourth week .
plss someone help my do this problem (a^14 • a^-6 / a^25)^3
Answer:
[tex]a^{-51} = \frac1{a^{51}}[/tex]
Step-by-step explanation:
When you're multiplying two powers with the same base (in our case, a) you add together the exponents.
[tex](\frac{a^1^4\cdot a^-^6}{a^{25}})^3 =\\(\frac {a^{14+(-5)}}{a^2^5})^3= (\frac {a^{14-6}}{a^2^5})^3 = (\frac {a^{8}}{a^2^5})^3[/tex]
Now, when you are dividing two powers with the same base (in our case, a again) you subtract the exponents:
[tex]= (a^{8-25})^3 = (a^{-17})^3[/tex]
Finally, when you're calculating the power of a power, you multiply the exponents together:
[tex]a^{-17\cdot 3} = a^{-51} = \frac1{a^{51}}[/tex]
At this point you just have to choose - or check with your book/teacher if you prefer a negative exponent, or a fraction.
enter the volume of n for the equation 5n = 511 •53 (no links)
Answer:
5416.6
Step-by-step explanation:
use a calculator
PLS ANSWER IN SCIENTIFIC NOTATION!!!
per day : 1500 x 200 = 300,000 texts
per week = 300,000 x 7 = 2,100,000 = 2,1 x 10⁶ texts
A box contains five cards lettered A, A, B, C, D. If one card is selected at random from the box and NOT replaced, what is the probability that Jack will draw a “D” and then an “A”?
Answer:
There is a 1/10 chance you draw an A and then D 10% chance
Step-by-step explanation:
Probablitiy of drawing a D is 1/5, If the card is not replaced, then there are only 4 cards left. Probability of drawing an A is 2/4 (1/2)
1/5 x 2/4
1 x 2 = 2 2/2 = 1
5 x 4= 20 20/2 = 10
solve pls brainliest
Answer:
22 1/2
Step-by-step explanation:
4 1/2 = 9/2
[tex]\frac{5}{1} *\frac{9}{2} =\frac{45}{2} \\\frac{45}{2} =22\frac{1}{2}[/tex]
50 + 2/1000 =
a) 50.2
b) 5.02
c) 50.02
d) 0.502
Answer:
option c is the correct one
Which of the following is an equation of line l in the xy plane above
A) 1 = 1
B) y = 1
C) y = x
D) v = x + 1
Answer:
Option (D)
Step-by-step explanation:
Let the equation of the line be,
y = mx + b
where m = slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since, line 'l' is passing through two points (0, 1) and (-1, 0),
Therefore, slope 'm' = [tex]\frac{1-0}{0+1}[/tex] = 1
y-intercept 'b' = 1
Therefore, equation of the line will be,
y = 1(x) + 1
y = x + 1
Option (D). will be the answer.
The lines are parallel find x
find the size of unknown angles
e) 100°+a°
Answer:
Ans=80
Step-by-step explanation:
You can see the picture for explanation.....
Have a good day ..!!
.. . Dear
Company A is offering 213 pounds of chocolate for $19.95, while Company B is offering 135 pounds of the same chocolate for $15.00. Which company is offering the lowest price per pound?
WILL MARK BRAINIEST!!!!!
Answer: company A
Step-by-step explanation: i did this on a quiz and got it right