Answers
Step-by-step explanation:
The sum of an infinite geometric series is expressed according to the formula;
a 1 r where;
a is the first term of the series
r is the common ratio
If the sum of an infinite geometric series is three times the first term, this is expressed as
S∞ = 3a
Substitute S = 3a into the formula above to get the common ratio r;
a
3a 1-r
cross multiply
3a(1-r) = a
3(1-r) = 1
open the parenthesis
3- 3r 1
subtract 3 from both sides
33r31-3
-3r = -2
2|3 r =
Hence the common ratio of this series is 2 upon 3
= 2\3
Related Questions
answer these problems please
9 x 1/8
10 x 1/8
9 1/2 x 1/8
12 x 1/8
8 1/2 x 1/8
I will give brainliest and 30 points, please no links!
Answers
Answer:
See below
Step-by-step explanation:
9 x 1/8 = 1.125
10 x 1/8 = 1.25
9 1/2 x 1/8 = 1.1875
12 x 1/8 = 1.5
8 1/2 x 1/8 = 0.5
For detailed, step-by-step explanations you can visit my fiverr account: kesja_
I provide detailed explanations for math questions for as little as $1!
Answer:
9 x 1/8 = 9/8
10 x 1/8 = 10/8 ≈ 5/4
9 1/2 x 1/8 = 19/16
12 x 1/8 = 12/8 ≈ 3/2
8 1/2 x 1/8 = 17/16
you can either turn them to decimals by dividing through or you leave them in Improper fractions or mixed fractions
needs the answers quick please
Answers
let the interior angles of the given triangle be angle a b c respectively.
116+a=180 (Sum of angles on a straight line.)
a=180-116
a=64
.......
112+b=180(Sum of angles on a straight line.)
Sum of angles on a straight line.)b=180-112
b=68
....
angle a +b+c=180 (Sum of angles of a triangle)
64+68+c=180
c=180-132
c=48
.,....
angle c +X =180(Sum of angles on a straight line.)
48+X=180
X=132
Therefore the value of X is 132.
2.
solution,
Let the remaining interior angle of the given triangle be y.
Then,
y+108=180(Sum of angles on a straight line.)
y=72
Again,
2x+X+y=180(Sum of angles of a triangle)
3x+72=180
3x=108
X=108÷3
X=36
Therefore the value of X is 36.
3.
solution,
let the remaining interior angle of the given polygon be a and b .
Then,
100+b=180(Sum of angles on a straight line.)
b=80
......
Again,
a+b+110+90=360(Sum of interior angle of the polygon)
a+80+200=360
a+280=360
a=80
.....
a+X=180(Sum of angles on a straight line.)
80+X=180
X=100
Therefore the value of X is 100.
4.
solution,
The given triangle is an isosceles triangle.So their base angles are equal .
43+43+X=180(Sum of angles of a triangle)
X=180-86
X=94
Therefore the value of X is 94.
5.
solution,
Opposite angles of a parallelogram is equal
So ,
X=125
Therefore the value of X is 125.
6.
solution,
Let the remaining interior angle of the triangle be a .
Then,
a+117=180 (Sum of angles on a straight line.)
a=63
Now,
a+X+83=180(Sum of angles of a triangle)
63+83+X=180
146+X=180
X=34
Therefore ,the value of X is 34.
Plz mark me brainest .Thank you .plz help will mark as brainliest
Answers
opposite of 1/1 on x axis is opposite of 1/1 on y
can someone please help with this? it’s the last one i need for today thanks
Answers
Answer:
243x32=7776
546x12=6552
312x73=22776
Step-by-step explanation:
Answer:
243x32=7776
546x12=6552
312x73=22776
Step-by-step explanation:
I really hope this helped you out!
What is the domain of 3x^2-x-2
Answers
Answer:
All real numbers
Step-by-step explanation:
There is no real number that makes the expression undefined, therefore the domain would be all real numbers.
There are 268 lockers at Kortright Hills which are numbered from 1 to 268. All the locker doors are shut. On the first day of school, imagine that there are 268 students waiting out.
• The first student goes in and opens all the locker doors.
The second student goes in and closes every other locker door, starting with locker 2.
The third student goes in and changes every third locker, starting with locker 3 (If the do
open, it is closed. If the door is closed, it is opened.
The fourth students goes in and changes every fourth locker, starting with locker 4.
· This continues for all 268 students.
After all 268 students have entered the school, which locker doors will be open?
Answers
Answer:
289 student for the party them one mother say where you went that their mother where you want a brother se usse lion and the world I say diesel OK will die and back
If a car travels 32.5 miles in 1.5 hours, than how long will it take to travel 26 miles at this speed?
Answers
Answer:
Is this for math?
Step-by-step explanation:
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
length: ft
Х
5 ?
width:
ft
Answers
Let width be x
length=4xATQ
[tex]\\ \sf\longmapsto 2(x+4x)=70[/tex]
[tex]\\ \sf\longmapsto 5x=35[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
Width=7ftLength=7(4)=28ftStep-by-step explanation:
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft,
let the width =x
length =4width=4x
According to the question,
the perimeter of the rectangle is 70 ft
2(length+width)=perimeter 2(4x+x)=702(5x)=7010x=70x=70/10x=7Therefore:-
width =x=7ft
length =4x=4×7=28ft
Help me pretty please :(
Answers
9pi/3+2pi/3=11pi/3
Answer:
[tex]\frac{11\pi }{3}[/tex] ≈
11.519173063
Step-by-step explanation:
3[tex]\pi[/tex] + [tex]\frac{2\pi }{3}[/tex]
To add or subtract expressions, expand them to make their denominators the same. Multiply 3[tex]\pi[/tex] times [tex]\frac{3}{3}[/tex].
[tex]\frac{3 x 3\pi }{3}[/tex] + [tex]\frac{2\pi }{3}[/tex]
Since [tex]\frac{3x3\pi }{y3}[/tex] and [tex]\frac{2\pi }{3}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{3 x 3\pi + 2\pi }{3}[/tex]
Do the multiplications in 3×3π +2π.
[tex]\frac{9\pi + 2\pi }{3}[/tex]
Combine like terms in 9π+2π.
[tex]\frac{11\pi }{3}[/tex]
Please help me in solving for x and y
Answers
for vertical angles they're equal to each other.
thus,
(7x + 30)° = (11x - 24) °
54 = 4x
x = 13.5°
and
(17y - 4) ° = (5y + 38) °
12y = 42
y = 3.5°
Can someone please help
Answers
Answer:
63
Step-by-step explanation:
A median bisects the side that it is drawn to, so
DM = ME4x - 10 = 3x + 5x - 10 = 5x = 15So, FN = 4(15) + 3 = 63.
Once again, since a median bisects the side it is drawn to, NE = 63.
Lucy earns 1525.00 a week. She sets aside 15% of this for savings. how does she save in a year?
Pls what's the answer :)
Answers
Answer:
11,895 is what she would save in a year
Please solve this problem... I will mark you brainliest
Answers
Step-by-step explanation:
4x = 70 - x
4x + x = 70
5x = 70
x = 14
m∠DEA = m∠BEC = 4x
m∠DEA = m∠BEC = 4(14)
m∠DEA = m∠BEC = 56°
m∠AEB = m∠CED = [360 - 2(56)] ÷ 2
m∠AEB = m∠CED = [360 - 112] ÷ 2
m∠AEB = m∠CED = 248 ÷ 2
m∠AEB = m∠CED = 124°
13 b pls help........
Answers
Answer:
300 cm
Step-by-step explanation:
Multiply 6cm by 50
The exterior angles of a pentagon are 115° , 2x° , 3x°, x° and x° . Calculate the value of x.
Answers
Sum of the exterior angles of a pentagon = 360
⇒ 115 + 2x + 3x + x + x = 360
[simplify the x terms and subtract 115 from both sides]
7x = 360 - 115 [divide both sides by 7]
x = 35Please help me solve this ASAP
Answers
Answer:
2/5 or .4 as a decimal
Step-by-step explanation:
we can't do anything in the Parentheses so we distribute the -2.5 giving us the equation
-10x+10=6
we subtract both sides by 10
so now our equation is
-10x=-4
we divide both sides by -10
this leaves us with -4/-10 which is simplified to 2/5 or .4 as a decimal
please help it’s for geometry
assume lines p and q intersect to form adjacent angles 1 and 2.
if m<1 = (4x-3) and m<2 = (3x+8). find the value of x such that <1 is supplementary to <2
Answers
Answer:
x=25
Step-by-step explanation:
they are supplementary and adjacent, thus you do 4x-3+3x+8=180, simplify and get 7x+5=180, subtract 5 from 180 which is 175, then ending up with 7x=175 and 175/7 is 25.
Answer:
Step-by-step explanation:
A rectangle is 12cm long and 5cm wide. Find the size of the angle marked x.
Answers
Answer:
22.61°
Step-by-step explanation:
Please answer the following 2 images correctly and don't answer if you don't know
Answers
Answer:
A) Not congurt
B) ASA
C)
D)
Step-by-step explanation:
Thats all i know
Answer:
Step-by-step explanation:
a) ASA congruent -> Two angles and included side are congruent
b) SSS congruent -- > three sides are congruent
c) Not congruent.
d) HL --> In a right angle triangle, base and hypotenuse are congruent.
23)
1)Q is the midpoint of PT & RS Given
2) PQ ≅ TQ Definition of midpoint
3) ∠PQR ≅ ∠TQS Vertical angles are congruent
4) RQ ≅ SQ Definition of midpoint
5) ΔPQR ≅ ΔTQS SAS congruent
100 points.
My teacher asked for me to specify which two theorems I used. And I don't know. Here is my work can someone help please.
Isosceles Right Triangle Reflection to prove ASA Congruence
1. Answer the following questions:
A. What line of reflection did you choose for your transformation?
- I used the y-axis as my line of reflection.
B. How are you sure that each point was reflected across this line?
- I am sure because the sides are all opposite, but the numbers stayed the same.
C. What reflection rule did you apply to your triangle?
- (x, y) ➟ (-x, y)
2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
- I learned that if two sides of my triangle are congruent then the angles opposite of them are congruent as well. The third angle is 90 degrees.
3. Did your triangle undergo rigid motion? Explain why.
- Yes, it did. It did because the distance and position stayed the same while the points and the plane moved.
Answers
Answer:
Actually you did everything right
Step-by-step explanation:
yes
This question requires proving congruency of triangles in a given co-ordinate system we by use of ASA(angle side angle) theorem.
Types of triangles and it's properties.An isosceles right angle triangle has two equal sides and the corresponding angles will also be equal it will be of 45° - 45° - 90°.
The hypotenuse will be [tex]\sqrt{2}[/tex] times of the equal sides.
A. We have chosen x-axis as a line of refection.Reflection along x-axis idicates rotation of 180° along x axis.
B. We are sure that each point is reflected accross this line because base has same magnitude but the signs have changed and rotation along x-axis doesn't change the value of y co-ordinate.
C. Rotaion along X-axis by 180°.
Learn more about Triangles and It's properties here :
https://brainly.com/question/9872652
#SPJ2
What is 3n^2 + 12n - 11 = 0
Answers
Answer:
n= plus or minus (+-) square root 69/ 3 -2
Step-by-step explanation:
Answer:
n = -2[+/-] (2 [tex]\sqrt{69}[/tex])/3
Step-by-step explanation:
in other words, the answer is
n=0.768875
and
n = -4.76887
HELPPPPPPPP I WILL MARK BRAINLIEST
Answers
Answer:
52.8
Step-by-step explanation:
i think this is right
What is the sum to (-2)(3)
Answers
Hello there!
-6 is the answer.
If we multiply a negative number times a positive number, we will get a positive number.
Hope this helps!
[tex]GraceRosalia[/tex] is here to help
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
Answers
Answer:
11.2 mi
Step-by-step explanation:
1. We can use the Pythagorean Theorem (a^2 + b^2 = c^2) to find the missing leg, b, of the triangle.
[tex]9^2 + b^2 = 14.4^2[/tex]2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](9*9)+b^2 = 14.4 * 14.14[/tex] [tex]81 + b^2 = 207.36[/tex] [tex]b^2 + 81 = 207.36[/tex]Step 2: Subtract 81 from both sides.
[tex]b^2 + 81 - 81 = 207.36-81[/tex] [tex]b^2 = 126.36[/tex]Step 3: Take the square root of both sides and round to the nearest tenth.
[tex]\sqrt{b^2} = \sqrt{126.36}[/tex] [tex]b = \sqrt{126.36}[/tex] b ≈ 11.2Therefore, x = 11.2 mi.
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (14,4)² - (9)²
x² = 207,36 - 81
x² = 126,36
x = 11,2mi✔
In a quadratic function, the axis of symmetry and the vertex
value.
share the same x-
O Always
O Sometimes
O Never
Answers
What is the zero of the function
Answers
Answer:
A. -5
Step-by-step explanation:
A zero is the same as the x-intercept, or the point that intersects the x-axis
Titus took 30 minutes to walk 2 miles at a constant
rate. Let d represent the distance Titus walks, in miles, after t minutes. Here are your constants of proportionality from the previous screen: 15 and 15. Write two different equations to represent the
relationship between d and t.
If Titus walked 7.5 miles at this same rate, how many
minutes would it take?
HEEEEEELLLLLPPPPP
Answers
Constant of proportionaility #1 2/30 = 1/15
Constant of proportionaility #2 d/t
1 distance divided by time
Relationship: equality
Reason: they all represent velocity and they tell us that velocity is constant.
-------------------------------------------------------
15 and 1/15 (answer)
Steps:
Given
Time (t) = 30 minutes
distance (d) = 2 miles
To determine the first constant of proportionality
Let time be directly proportional to distance.
t = kd
Where k is the constant of proportionality
Make k the subject
k = t/d
Substitute values for t and d
k = 30/2
k = 15
To determine the second,
Let distance be directly proportional to time.
d = kt
Make k the subject
k = d/t
Substitute values for d and t
k = 2/30
k = 1/15
Hence, the constant of proportionality are
15 and 1/15
Find the equation of the quadratic function given the vertex and a point on the parabola.
v= (3,0), p=(1,4)
Answers
Answer:
y = x² - 6x + 9
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (3, 0 ) , then
y = a(x - 3)² + 0
To find a substitute (1, 4) into the equation
4 = a(1 - 3)² = a(- 2)² = 4a ( divide both sides by 4 )
1 = a
y = (x - 3)² = x² - 6x + 9
Find which is the better buy (lower
cost per ounce) by finding each unit
price. Round to two decimal places if
necessary
Shampoo:
A. $7.99 for 29.2oz
B. $5.99 for 13.5oz
Answers
Answer:
B
Step-by-step explanation:
1) Divide the oz per shampoo bottle by the cost
2) which answer is lower
29.2÷7.99=3.65
13.5÷5.99=2.25
6(x-3)+10=2(4x-5) pls help
Answers
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]6\left(x-3\right)+10=2\left(4x-5\right)[/tex]
We'll use the distributive property to multiply 6 by (x-3):
[tex]6x-8 +10=2(4x-5)[/tex]
*Distributive property*, multiply 2 by (4x-4)
[tex]6x-8=8x-10[/tex]
Add 8 from both sides:
[tex]6x-8+8=8x-10+8[/tex]
[tex]6x=8x-2[/tex]
Subtract 8x from both sides:
[tex]6x-8x=8x-2-8x[/tex]
[tex]-2x=-2[/tex]
Divide both sides by -2:
[tex]\cfrac{-2x}{-2}=\cfrac{-2}{-2}[/tex]
[tex]x=1[/tex]
_____________________________