[tex] \LARGE{ \underline{ \boxed{ \purple{ \rm{Solution : )}}}}}[/tex]
Euclid's division lemma : Let a and b are two positive integers. There exist unique integers q and r such that
a = bq + r, 0 [tex]\leqslant[/tex] r < b
Or We can write it as,
Dividend = Divisor × Quotient + Remainder
Work out:
Given integers are 240 and 228. Clearly 240 > 228. Applying Euclid's division lemma to 240 and 228,
⇛ 240 = 228 × 1 + 12
Since, the remainder 12 ≠ 0. So, we apply the division dilemma to the division 228 and remainder 12,
⇛ 228 = 12 × 19 + 0
The remainder at this stage is 0. So, the divider at this stage or the remainder at the previous age i.e 12
[tex] \large{ \therefore{ \boxed{ \sf{HCF \: of \: 240 \: \& \: 228 = 12}}}}[/tex]
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Maria is buying new carpet for her bedroom .Her bedroom is in the shape of a square and the length of each side is 12 feet write and simplify an exponential express to find how much carpet she needs.
Answer:
well just do area, and since it's the same in each side 12×4= 144
An NFL kicker will get paid based on the average hang time of his kicks. His average hang time is modeled by the following question: h=-16t^2 +97.6t. How many seconds do his kicks remain in the air on average?
Answer:
6.1 seconds
Step-by-step explanation:
set the equation equal to zero
0 = -16t² + 97.6t
factor out t
t(-16t + 97.6) = 0
-16t =- 97.6
t = 6.1
The NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.
To find the average hang time of the NFL kicker's kicks, we need to determine the time at which the height (h) reaches its maximum value. The maximum height corresponds to the peak hang time.
The equation that models the hang time is given as: h = -16t^2 + 97.6t
This is a quadratic equation in the form: h = at^2 + bt + c
In our case, a = -16, b = 97.6, and c = 0 (since there is no constant term).
The time (t) at which the height (h) reaches its maximum value can be found using the formula: t = -b / 2a
Let's calculate the time (t):
t = -b / 2a
t = -97.6 / (2 * -16)
t = -97.6 / -32
t = 3.05 seconds (rounded to two decimal places)
So, the NFL kicker's kicks remain in the air on average for approximately 3.05 seconds.
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3-2(x-1)=2+4x
How do you solve
Answer:
x = 1/2
Step-by-step explanation:
3 - 2(x - 1) = 2 + 4x
3 - 2x + 2 = 2 + 4x
-2x + 5 = 2 + 4x
-2x - 4x = 2 - 5
-6x = -3
x = -3/-6
x = 1/2
-18 = -3x + 6 can anybody help me solve this problem
Answer:
[tex]\huge\boxed{x = 8}[/tex]
Step-by-step explanation:
[tex]\sf -18 = -3x+6\\Subtracting \ 6 \ to \ both \ sides\\-18-6 = -3x\\-24 = -3x\\Dividing \ both \ sides \ by \ -3\\8 = x\\OR\\x = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
Here, -3x = -24
x = 8
hope that helps you
whats the squareroot of 98
Answer: 7√2
Step-by-step explanation: To simplify a square root where the number inside the radical is not a perfect square like the square root of 98, we start by making a factor tree for the number inside.
98 factors as 2 · 49 and if you know your perfect squares,
you should be able to recognize 49 as 7 · 7.
What we are looking for in our factor tree
are pairs of factors that are the same.
If a factor pairs up, it will come out of the radical.
If a factor does not pair up, then it stays inside the radical.
So here, since our 7's pair up, a 7 will come out of the radical.
Since the 2 does not pair up, it stays inside the radical.
So our answer is 7√2.
What is the quotient ? -4 /5 divide 2 A . - 1 3/5 B . -2 /5 c. 1/2 D . 1 3/ 5
Answer:
[tex] \boxed{ - \frac{2}{5} }[/tex]Option B is the correct option.
Step-by-step explanation:
[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]
[tex] \mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}[/tex]
[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]
[tex] \mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}[/tex]
[tex] \mathrm{ - \frac{4}{5} \times \frac{1}{2} }[/tex]
[tex] \mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}[/tex]
[tex] \mathrm{ - \frac{2}{5} }[/tex]
Hope I helped!
Best regards!
The quotient of -4 /5 divide 2 would be equal to -2/5 in simplified form.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.
We have been given that -4 /5 divide 2
Thus, we have to divide the terms as;
-4 /5 ÷ 2
Therefore, -4 /5 x 1/ 2
-2/5
Hence, the quotient of -4 /5 divide 2 would be equal to -2/5 in simplified form.
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PLS HELP BRAINLIST AND A THANK YOU WILL BE REWARDED
Answer:
x=25
Step-by-step explanation:
you know that both angles equal the same degrees, so the bottom one is 150° so the other is also 150°. You already have 50° so all you need left is 100°. divide 100 by 4 and you get x=25
What is the surface area of the sphere below?
Hey there! I'm happy to help!
To find the surface area of a sphere, here is what you do.
You square the radius.
4²=16
You multiply by 4.
16×4=64
And you multiply by pi!
64×π=64π
Therefore, the surface area of the sphere is A. 64π units². It's that easy!
Now you can find the surface area of a sphere! Have a wonderful day! :D
Question :-
What is the surface area of the sphere that has a radius of 4 units?Answer :-
The surface area of the sphere is 64π units².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{4 \: units}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the sphere is 4 units. We have been asked to find or calculate the surface area of the sphere.
To calculate the surface area of the sphere, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4 \times \pi \times (4 \: units)^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4 \: units)^2 \times 4 \times \pi[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 16 \: units^2 \times 4 \times \pi[/tex]
[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 64\pi \: units^2}[/tex]
Therefore :-
The surface area of the sphere is 64π units².[tex]\\[/tex]
Learn more about the surface area of the sphere at https://brainly.com/question/28988747
Have a great day! <33
Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.67, the towel cost $21.73,
and the candle cost $9.16 before any coupons or discounts.
She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the
regular price. Which of the following best describes the amounts that Antonia saved?
Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age? A. z = x + y − 2; x represents Micah's age, y represents Becky's age, and z represents Jacob's age B. x = y + z + 2; x represents Jacob's age, y represents Micah's age, and z represents Becky's age C. x = 2 + y + z; x represents Becky's age, y represents Jacob's age, and z represents Micah's age D. y = x + z − 2; x represents Jacob's age, y represents Becky's age, and z represents Micah's age
The equation that represents Jacob's age is x = y + z + 2
From the question, the following information was provided :
Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.
This above information can be represented with the equation below
Jacob = 2 + ( Becky + Micah) (equation 1)
If :
x represents Jacob's age
y represents Micah's age
z represents Becky's age
Equation 1, can be rewritten as x = y + z + 2
Micah's age can be determined by making Micah the subject of the formula in the above equation
Micah = Jacob - Becky - 2 (equation 2)
If :
x represents Micah's age
y represents Becky's age
z represents Jacob's age
Micah's age can be rewritten as :
x = z - y - 2
Becky's age age can be determined by making Becky the subject of the formula in the first equation.
Becky = Jacob - Micah - 2 (equation 3)
If:
x represents Becky's age
y represents Jacob's age
z represents Micah's age
Equation 3 can be rewritten as :
x = y - z - 2
Check here for a related question : https://brainly.com/question/21843246?referrer=searchResults
Using a system of equations, it is found that the correct equation is given by:
[tex]x = y + z + 2[/tex], which is option B.
---------------
Jacob's age is given by x.Becky's age is given by y.Micah's age is given by z.Considering that Jacob's is 2 years older than Becky's and Micah's combined, which is of y + z, his age is represented by the following equation:[tex]x = y + z + 2[/tex]
Which is given by option B.
A similar problem is given at https://brainly.com/question/24233433
PLEASE HELP ME!!! I will mark brainliest!!!
The image above shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?
Answer:
parallel lines
Step-by-step explanation:
Lines IJ and KL are parallel. Since in a dilation there is no rotation, a line becomes either the same line or a parallel line.
th
A sum of Rs. 700 grows by 1/20 of itself every year. At what time would it amout to Rs.1050?
a) 8 years
b) 10 years
c) 12 years d) 15 years
Answer:
b) 10 yearsStep-by-step explanation:
1/20 of 700: 1/20•700 = 35
700 + n•35 = 1050
n•35 = 350
n = 10
Complete the equation of the line through (-8, 8) and (1, -10).
Use exact numbers.
y =
Answer:
y = -2x - 8
Step-by-step explanation:
Find the slope using rise/run (y2 - y1) / (x2 - x1)
(-10 - 8) / (1 + 8)
-18/9
= -2
Next, plug in the slope and a point into the equation to find b:
y = mx + b
-10 = -2(1) + b
-10 = -2 + b
-8 = b
Now, plug this and the slope into the equation:
y = -2x - 8
SOMEBODY PLS HALP ;( According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0
Answer:
B
Step-by-step explanation:
B sqrtb is right in front of 2, so 2 squared is 4, so a little bit more than 2 squared will be a little more than four.
Answer:
C) C < 4
Step-by-step explanation:
because c is on the right side of four on the number line
Mai is putting money into a checking account.Let Y represent the total amount of money in the account (dollars)Let X represent the number of weeks Mai has been adding money suppose that x and y are related by the equation 550+40x =y what is the change per week in the amount of money in the account ?
Answer:
The answer is $40.
Step-by-step explanation:
According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.
Then as x gets increased by 1 each week, the amount of change in the account per week is $40.
I hope this answer helps.
betty's bakery calculates the total price d in dollars for c cupcakes using the equation d=2c. What does 2 mean in this situation?
Answer:
2 means dollars per cupcake
Step-by-step explanation:
it makes sense because it says d=2c which is
money = $2 per cupcake
so if their are 2 cupcakes then
d=2*2 = $4
Cada par de numeros esta a razon de 2:3
(0,8)+(7,-52) eso es la problema
solving polynomial(-2y-6)(-3y-8)
Answer:
(-2y-6)(-3y-8)
= 6y²+16y+18y+48
= 6y²+ 34 y +48
Hope this helps
if u have question let me know in comments ^_^
Answer:
Here is your answer!!!
Step-by-step explanation:
-2y(-3y-8)-6(-3y-8)
6y^2+16y+18y+48
6y^2+34y+48
I need help with this please.
Answer:
the slope is 60
Step-by-step explanation:
the slope is the number multiplying the x value, or t in this case.
Answer:
The slope is 60, and create the graph by dragging one point to (0,0) and one point to (1,60).
Step-by-step explanation:
If we have the proportional relationship [tex]d=60t[/tex], then the slope will be what we multiply t by to get d, therefore the slope is 60.
Since there is no y-intercept, the line WILL pass through the origin (0,0), so a point goes there.
If we make t 1, then d will be at point (1,60) because [tex]60\cdot1=60[/tex].
Hope this helped!
what is x if y is 50, it is equivalent to 9/150. the first peep gets brainliest
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▹ Answer
x = 3
▹ Step-by-Step Explanation
[tex]\frac{9}{150} \\\\150/3 = 50\\9/3 = 3\\\\x = 3[/tex]
Hope this helps!
CloutAnswers ❁
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1. A cone is 8cm high and has a base diameter of 12cm.its slant height is a.6cm b.8cm c.10cm d.12cm
Answer:
10
Step-by-step explanation:
it is Pythagoras theorem
6*6=36
8*8=64
64+36=100
square root of 100 is 10
A plumber’s apprentice needs to cut a 54-inch length of pipe so that one piece is twice the length of the other piece. How far from the endpoint should the apprentice cut the pipe?
Answer:
18 inches
Step-by-step explanation:
To to this you would just divide 54 by 3 and you would get how far away from the endpoint which is 18 inches
Which of the following is the graph of f(x) = x2 + 3x − 4? graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5 graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5 graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4 graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Answer:
x intercepts at -4 and 1,
with a minimum at (-1.5, -6.25)
Step-by-step explanation:
(x + 4)(x - 1) = 0
x = -4, 1
min = -b/2a = -3/2(1) = x = -1.5
y = (-1.5)² + 3(-1.5) - 4 = -6.25
Answer:
graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Step-by-step explanation:
The graph shows the minimum is (-1.5, -6.25) and the x-intercepts are a -4 and 1. This matches the last description.
__
The x-coordinates of the offered minima are all different, so it is sufficient to know that the axis of symmetry is the line ...
x = -b/(2a) = -3/(2(1)) = -1.5 . . . . . . . for quadratic f(x) = ax² +bx +c
This is the x-coordinate of the minimum.
If a+8√5b = (8+√5)÷(8-√5) + (8-√5)÷(8+√5)
Answer:
3 or at least i think
Step-by-step explanation:
Answer:
a= 138/59 - 8√5b B=69√5/1180 - a√5/40
Step-by-step explanation:
yuh
How to do this question plz answer me step by step plzz
Answer:
4 cm
Step-by-step explanation:
At 12 cm depth, the depth is 12/15 = 4/5 of the height of the container.
When the container is tipped on its side, so its height is 5 cm, the depth will still be 4/5 of the height.
(4/5)(5 cm) = 4 cm
The depth will be 4 cm.
Find the area of the shaded region . RQ= 71.5 inches and PO=93.4 inches . Use 3.14 as necessary
Answer:
25,886.01 in²
Step-by-step explanation:
The area of shaded region = Area of the outter circle (the larger circle) - area of the inner circle (the smaller circle)
Area of a circle = πr²
Radius of larger circle = PO = 93.4 in
Area of the larger circle = 3.14*93.4² = 27,391.98 in²
Radius of smaller circle = PO - RQ = 93.4 - 71.5 = 21.9
Area of smaller circle = 3.14*21.9² = 1,505.97 in²
Area of shaded region = 27,391.98 - 1,505.97 = 25,886.01 in²
Erica can run 1 / 6 fraction of a kilometer in a minute. Her school is 3 / 4 of a kilometer away from her home. At this speed, how long would it take Erica to run home from school? answer quick plz
Answer:
the result is 4.5 minutes.
- Erica runs 1/6 km in a minute.
- The school is 3/1 km away from her home.
Step-by-step explanation:
Find the value of x in this equation. 180-5x=140180−5x=140
Answer: 8
Step-by-step explanation:
Which of the two functions below has the largest maximum y-value?
f(x) = -x4- 2
g(x) = -3x3 + 2
Answer:
g(x)=-3x^{3}+2
Step-by-step explanation:
g(x) has a range that of (-infinity, +infinity), whereas f(x) has a range of (-infinity, -2].
Answer:
Step-by-step explanation:
● f(x) = -x^4 -2
● g(x) = -3x^3 + 2
Derivate both functions:
● f'(x) = -4x^3
● g'(x) = -9x^2
Solve the equations f'(x) =0 and g'(x) =0
● f'(x) = 0
● -4x^3 = 0
● x^3 = 0
● x =0
● g'(x) = 0
● -9x^2 = 0
● x^2 =0
● x = 0
So both functions f and g reach their maximum at 0.
● f(0) = 0^4-2 = -2
● g(0) = -3×0^3 +2 = 2
So g(0)>f(0)
So g has the largest maximum value.
find the Perimeter Of a circle whose radius is 14cm
Answer:
Step-by-step explanation:
Firstly, we will use the formula π × d
Which will be 22\7 × 28 (this is the radius multiplied by 2)
After multiplying you will get 88 cm as your perimeter
=88 cm
