Answer:
(i) The total anticlockwise moment about O, is 6000 + 50 × OD
(ii) The total clockwise moment about O, is 5000 + 50 × OC
(iii) The difference between the anticlockwise and the clockwise moment is 1000 N·cm
(iv) The distance from O where a 100 gf force should be placed to balance the meter rule is 10 cm to the right of the point O on the meter rule
Step-by-step explanation:
The given parameters are;
The mass of the uniform meter rule = 100 gf
The center of the meter rule = O
The mass of the weight at point A = 150 gf
The mass of the weight at point B = 250 gf
The distance of the point A from the point O = OA = 40 cm
The distance of the point B from the point O = OB = 20 cm
(i) Whereby the point A is on the left of the meter rule, and taking the mass of half the meter rule as acting on the center, of the midspan from the left edge to the center, O, which is the point, D we have;
The total anticlockwise moment, Mₐ = 150 × 40 + 50 × OD = 6000 + 50 × OD
(ii) The total clockwise moment about O, is given similarly as follows;
The total clockwise moment, [tex]M_c[/tex] = 250 × 20 + 50 × OC = 5000 + 50 × OC
(iii) The difference between the anticlockwise and the clockwise moment = Mₐ - [tex]M_c[/tex] = 6000 + 50 × OD - 5000 + 50 × OC
Where, OD = OC, we have;
Mₐ - [tex]M_c[/tex] = 6000 + 50 × OD - 5000 + 50 × OD = 1,000
Mₐ - [tex]M_c[/tex] = 1000 N·cm
Therefore, Mₐ > [tex]M_c[/tex]
(iv) The distance from O where a 100 g force should be placed to balance the meter rule should give a 1000 N·cm clockwise moment as follows;
Let the 100 gf load be placed at the point E, to the right of the point O, therefore;
100 gf × OE = 1000 N·cm
OE = 1000/(100) = 10
OE = 10 cm
Therefore, the 100 gf should be placed 10 cm to the right of the point O.
It’s algebra one please help
Answer: I'm gonna say (3,-2)
Step-by-step explanation: my best guess, bc they intersect
please help thanks in advance
Answer:
length of each is 51
Step-by-step explanation:
they are congruent triangles so they are equilateral
therefore, you can set 7x - 5 and 5x + 11 equal to each other and solve for 'x'
2x = 16
x = 8
Substitute 8 into each expression and both come out to be 51
At the recommendation of his veterinarian, Xavier decides to place his cat on a diet. His cat's original weight was 19.4 pounds. After Xavier put his cat on a diet, the cat lost weight at a constant rate. The table below shows the cat's weight, w, and the months, m, since he began his diet. Months Weight (lb.) 1 18.26 2 17.12 3 15.98 4 14.48 Which equation models the cat's weight after m months?
Answer:
w=1.14m-19.4
Step-by-step explanation:
m = months, the cat loses 1.14lbs per month. plus the cat started with 19.4 pounds. each month 1.14 is being subtracted from 19.4
What is the solution to the inequality
-−
5
(
2
x
−
4
)
+
8
>
4
+
4
(
x
+
6
)
Answer:
x>20/3
Step-by-step explanation:
Select the statement that describes this expression: 13 + fraction 1 over 2 x (6 ÷ 2 + 6) A: 13 more than half of 6 more than the quotient 6 and 2 B: 13 more than half of the quotient of 6 and 6 minus 2 C:Half of 13 multiplied by the quotient of 6 and 2 plus 3 D:13 plus half of 6 divided by 2, then subtract 6
Answer:
"13 plus half of 6 divided by 2, then add 6"
Step-by-step explanation:
We need to select the statement that describes this expression :
[tex]13+\dfrac{1}{2}\times (\dfrac{6}{2}+6)[/tex]
Here 13 is added to half of 6 divided by 2 and then add 6.
Hence, this is the correct answer "13 plus half of 6 divided by 2, then add 6).
7b - 2/5 = 6b - 7/5 equations with variables on both sides: decimals & fractions
Final Answer: [tex]b = -1[/tex]
Steps/Reasons/Explanation:
Question: [tex]7b - 2/5 = 6b - 7/5[/tex] equations with variables on both sides: decimals & fractions.
Step 1: Subtract [tex]6b[/tex] from both sides.
[tex]7b - \frac{2}{5} - 6b = -\frac{7}{5}[/tex]
Step 2: Simplify [tex]7b - \frac{2}{5} - 6b[/tex] to [tex]b - \frac{2}{5}[/tex].
[tex]b - \frac{2}{5} = -\frac{7}{5}[/tex]
Step 3: Add [tex]\frac{2}{5}[/tex] to both sides.
[tex]b = -\frac{7}{5} + \frac{2}{5}[/tex]
Step 4: Simplify [tex]-\frac{7}{5} + \frac{2}{5}[/tex] to [tex]-1[/tex].
[tex]b = -1[/tex]
~I hope I helped you :)~
Solve five ninths plus four sixths
sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths
Answer:
Your answer will be Sixty Six Fifty Fourths
Step-by-step explanation:
Make it the same denominator so you can add them (18.)
Multiply 5/9 by 2 and multiply 4/6 by 3.
10/18 + 12/18 = 22/18.
Since there is not 22/18 listed, you can use this fraction as a proportion. The only proportion that can be evident is answer A, as when you multiply 22/18 by 3, you get 66/54.
Hope this helps! ;)
check whether
[tex] \frac{4}{5} [/tex]
is terminating or non terminating repeating decimal.
Answer:
Non terminating
Step-by-step explanation:
4/5=0.8 so non terminating
Hope this helps :D
PLEASEE HELP I WILL GIVE BRAINLIEST!
Answer:
It would be C, Y=x-7
Step-by-step explanation:
Each X in the left column is 7 more than Y in the right column.
Everytime theres an X, you subtract 7 to get Y, making the equation y=x-7
need help asap!!!!!!!
Answer:
cant see it do a better job at taking pitchers i will help you but i cant so c its a bad pitcher and yeah bye hope you have a good day
Step-by-step explanation:
(A) I (B) II (C) III (D) IV (E) V (F) VI (G) VII
Answer:
a and c
Step-by-step explanation:
SOMEONE HELP!! PLEASE
The train travels 50 miles per hour. On the graph, it shows the distance going up by one hundred every two hours. One hundred divided by two is fifty.
Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. PLEASE ANSWER QUICK!!!
Answer:
The second one
Step-by-step explanation:
Help will give crown
Answer:
x = -4 y = -2(-4) - 4 = -12
x = -2 y = -2(-2) - 4 = 0
x = 0 y = -2(0) - 4 = -4
x = 2 y = -2(2) - 4 = -8
Hope this helps! ;)
I need help with this question I can’t figure it out
Answer:
they are parallel
Step-by-step explanation:
they are parallel since their slope are equal
9/6 can be simplified to 3/2
Answer:
You're right; it's choice B parallel
Step-by-step explanation:
When it comes to two equations, when their slopes are the same, they are parallel. If the slopes are negatively reciprocated then they are perpendicular.
If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant
value of 32, then it will have 2 real, rational solutions.
true or false
Answer:
True
Step-by-step explanation:
The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).
A bakery sells doughnuts in boxes. Each box has 9 doughnuts in it. If the bakery sold 54 doughnuts, how many boxes did it sell?
The answer is 6.
9 times 6 = 54.
Systems of equations - substitution method
-8x+7y=10
Y=3x+7
Answer:
x= -3 , y = -2Step-by-step explanation:
Hope it helps you....Mark this answer as brainliestcomplete the table for each equation.
Help plz
Answer: (1, -2) (4, -8) (-5, 10) ( 3, -6)
Step-by-step explanation:
You solve all of them by inputting the x value's into the x in the equation
Here:
y= -2(1) x=1 y= -2
y= -2(4) x=4 y= -8
y= -2( -5) x= -5 y= 10
y= -2(3) x= 3 y= -6
Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.
Answer:
$2800.00
Step-by-step explanation:
A total accrued amount 800 = principal (P) $2000 + interest (I)
R Rate of interest per year decimal - 0.08
X Rate of interest per year percentage - 8%
T time period months or years - 5 years
Equation will be A = P (1 + RT)
first convert X to R = percentage to decimal
X = R/100 = 8%/100 = 0.08 per year
Solving:
A = 2000 (1 + (0.08 x 5)) = 2800
A = $2800
what's the fromula for finding the perimeter of a triangle?
Answer:
Add up all the sides.
Step-by-step explanation:
Add up all the sides.
Add up all the sides of the triangle that is the perimeter.
Hope this helps plz hit the crown :D
HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)
9514 1404 393
Answer:
8 3/4 hours
Step-by-step explanation:
Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:
(10.5 h)/1.2 = 8.75 h
It will take 8.75 hours at the increased speed.
what is the HL postulate
Answer:
HL Postulate
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E-learning is the future today.
Stay Home , Stay Safe and keep learning!!!
HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
1: A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?
Answer:
53 shares
Step-by-step explanation:
Calculation for how many SHARES did he then own
Using this formula
Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]
Let plug in the formula
Numbers of shares= [(.06 x 50 shares)+50 shares]
Numbers of shares= 3 + 50 shares
Numbers of shares = 53 shares
Therefore How many shares did he then own is 53 shares
What is the range of the function y = x??
Oyo
oxio
all real numbers
Answer:
All Real Numbers
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
If we graph the function, we see that the line stretches out from negative infinity to infinity for both x-values and y-values.
If that is the case, then that means that there is no restrictions on the y-values.
Therefore, our range is (-∞, ∞) or All Real Numbers.
HURRY PLZ I WILL GIVE BRAINLIEST....Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando’s error? Fernando evaluated the numerator of the fraction incorrectly. Fernando simplified StartFraction 20 over 2 EndFraction incorrectly. Fernando incorrectly found the product of –2 and –5. Fernando evaluated (negative 3) squared incorrectly.
Answer:
The correct answer is...
Fernando incorrectly found the product of –2 and –5.
I hope this helps! Have a nice day!
Solve for x
9(x-1)=81
x=
Answer:
10
Step-by-step explanation:
9(10-1)=81
Ana decides to start a lemonade stand. She goes to the store to buy her supplies, and those cost her $50. The city of Richmond also requires anna to pay a fee of $5 per day to set up lemonade stand at the park. Write the equation for her total cost (c) in terms of (d) days.
Answer:
[tex]c=5d+50[/tex]
Step-by-step explanation:
Given that:
Supplies of the lemonade bought at price = $50
Money paid per day to setup lemonade stand at the park = $5
To find:
Equation of her total cost.
Solution:
Let the number of days = [tex]d[/tex]
Per day cost of setting up the lemonade stand is given as $5.
If the number of days are [tex]d[/tex], then the cost of [tex]d[/tex] days can be found by multiplying the per day cost with the number of days.
Therefore, the expression for cost for [tex]d[/tex] number of days = [tex]\$5d[/tex]
Total cost for [tex]d[/tex] number of days can be found by adding the cost of supplies and cost for [tex]d[/tex] number of days for setting up the stand:
[tex]c=5d+50[/tex]
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
Solve the equation for a.
K = 4a + 9ab
a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.
Answer:
[tex]a= \frac{k}{9b+4}[/tex]
Step-by-step explanation:
In this question, you would solve for "a".
Solve:
K = 4a + 9ab
Since we have our "a" on the same side, we can factor it out from the variables:
K = a(9b + 4)
To get "a" by itself, we would have to divide both sides by 9b + 4:
K/9b+ 4 = a
Your answer would be K/9b+ 4 = a
It would look like this: [tex]a= \frac{k}{9b+4}[/tex]
Answer:
it's a = K / 4 + 9b
Step-by-step explanation:
i just took the test & got it right .