Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
assuming the recurring digits are 0.272727.... , then
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.2727.... (1) ← multiply both sides by 100
100x = 27.2727... (2)
subtract (1) from (2) thus eliminating the repeating digits
99x = 27 ( divide both sides by 99 )
x = [tex]\frac{27}{99}[/tex] = [tex]\frac{3}{11}[/tex] ← in simplest form
Answer:
Jimrgrant1 has already answered this correctly, 3/11.
Step-by-step explanation:
I took 1.0 and divided it by 0.272727 to give 3.666666 . . .
I looked for value that would convert this into a whole number when multiplied. 3 times 3.666666 . . . is equal to 11.
That would mean a fraction equal to 0.272727 . . . would be 3/11
Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in mile per hour is each traveling
Vivian is traveling at 6 Noelle per hour and Noelle is traveling at x+5 = 11 Noelle per hour.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Vivian and Noelle both leave the park at the same time, but in opposite directions, their total distance is the 136
Let Vivian's speed be = x
Let Noelle's speed be = x+5
They each can travel for 8 hours
so time = 8 hours
Distance = speed × time
136 = x(8) + (x+ 5) 8
136 = 8x + 8x + 40
96 = 16x
x = 6
So, Vivian is traveling at 6 Noelle per hour and Noelle is traveling at x+5 = 11 Noelle per hour.
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Find y.
Help me please:))
Answer:
y = 47
Step-by-step explanation:
All of the angles in a triangle must add up to 180. The angle marked 3y can help us find the missing angle of the triangle: 180-3y
Then you can make an equation to help solve for y:
50 + (2y-3) + (180-3y) = 180
Combine like terms:
227-y=180
y = 47
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: y=47 \degree[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \:(2y - 3) + 50 = 3y[/tex]
[tex]\qquad \tt \rightarrow \:2y - 3 + 50 - 3y = 0[/tex]
[tex]\qquad \tt \rightarrow \:2y - 3y + 47 = 0[/tex]
[tex]\qquad \tt \rightarrow \: - y = - 47[/tex]
[tex]\qquad \tt \rightarrow \:y = 47 \degree[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
HELPPPP PLEASEE DUEE SOONNN
(A) n=w by the corresponding angles theorem.
(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary, and are not always equal.
(C) n=z by the alternate exterior angles theorem.
(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.
(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.
someone help me with rest please asap!!
Answer:
3. Definition of Midpoint
4. VAT, Vertical Angles Theorem
5. ASA, Angle-Side-Angle Theorem
If we can preach that it has 2 pairs of parallel sides, one pair of consecutive sides perpendicular and perpendicular diagonals.(check image)
Answer:
Prob Online
Step-by-step explanation:
Can't really think of one
You are riding along a straight river from east to the west at speed of 160m/m. At a given time, you will see the bearing of a church on the other parallel road is N 70 degrees W, and 4 minutes later the bearing is N 56 degrees W. What is the width of the river? (Round your answer to two decimal points)
Using the given information, the width of the river is 505.96 m
Bearing and DistancesFrom the question, we are to determine the width of the river
Consider the given diagram,
Let F be the first position of the biker
S be the second position
and C be the position of the church
First, we will determine the distance covered from F to S
Speed = 160m/min
Time = 4 minutes
Using the formula,
Distance = Speed × Time
Distance covered = 160 × 4
Distance covered = 640 m
That is, /FS/ = 640 m
Now, consider ΔFSC
∠F = 90° - 70° = 20°
∠S = 90° + 56° = 146°
and ∠C = 180° - 20° - 146° = 14°
By the Law of Sines
[tex]\frac{/FC/}{sin\ S}= \frac{/FS/}{sin\ C}[/tex]
∴ [tex]\frac{/FC/}{sin\ 146^\circ}= \frac{640}{sin\ 14^\circ}[/tex]
[tex]/FC/ =\frac{640 \times sin \ 146^\circ}{sin \ 14^\circ}[/tex]
/FC/ = 1479.33 m
Now,
By SOH CAH TOA
[tex]cos \ 70^\circ = \frac{d}{/FC/}[/tex]
NOTE: d is the width of the river
∴ d = /FC/ × cos70°
d = 1479.33 × cos70°
d = 505.96 m
Hence, the width of the river is 505.96 m
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What is the measure of angle CED?
There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as y, and angle ABC is labeled as 65 degrees. In triangle DCE, angle CDE is labeled as 65 degrees
y over 2, because Triangle ABC is congruent to triangle DCE
y, because Triangle ABC is similar to triangle EDC
y + 65 degrees, because Triangle ABC is similar to triangle DCE
115 degrees − y, because Triangle ABC is congruent to triangle DCE
The measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is similar to triangle EDC
Similar trianglesFrom the question, we are to determine the measure of angle CED
In the diagram, we can observe that ΔABC is similar to ΔEDC
This is by the Angle-Angle similarity theorem
The theorem states that
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other
Thus,
Angle CAB = Angle CED
In the diagram,
Angle CAB = y
∴ Angle CED = y
Hence, the measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is similar to triangle EDC
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What is the volume of the sphere shown below?
O A. π units3
676
3
8788
3
C. 52 units 3
OD. 104 units3
B.
π units³
-13-
Answer:
B
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )
here r = 13 , then
V = [tex]\frac{4}{3}[/tex] π × 13³ = [tex]\frac{4}{3}[/tex] π × 2197 = [tex]\frac{4(2197)}{3}[/tex] π = [tex]\frac{8788}{3}[/tex] π units³
The solution is, B. 8788/3 * π units³ is the volume of the sphere shown below.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
the volume (V) of a sphere is calculated as
V = 4/3 πr³ ( r is the radius )
now, we have,
from the given figure, we get,
here r = 13 , then
V = 4/3* π × 13³
= 4/3* π × 2197
= 8788/3 * π units³
Hence, The solution is, B. 8788/3 * π units³ is the volume of the sphere shown below.
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Select two ratios that are equivalent to 2 : 9.
Choose 2 answers:
9:2
1881
12:54
18:4
20:45
Which four inequalities can be used to find the solution to this absolute value inequality?
The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the inequality:
3 ≤ |x + 2| ≤ 6
Hence:
x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)
This gives:
x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
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Find p and q if, √3 −1 /√3 +1 = p + q√3
Answer: p=2, q=-1
Step-by-step explanation:
[tex]\frac{\sqrt{3}-1}{\sqrt{3}+1} \left(\frac{\sqrt{3}-1}{\sqrt{3}-1} \right)=\frac{3+1-2\sqrt{3}}{2}=\frac{4-2\sqrt{3}}{2}=2-\sqrt{3}\\\\\therefore p=2, q=-1[/tex]
PLEASE HELP ASAP
(Picture shown)
Answer:
first blank: 3
second blank: 4
Step-by-step explanation:
The completed equation should say:
y = -3x + 4
This is slope-intercept form of the equation. It's a fill-in-the-blank equation. You put the slope in the first blank and the y-intercept in the second blank. Your math program put the negative sign in and it does need to be there. To find the slope, look at the points on the line. To get from one point to the next you go DOWN3 and over 1. DOWN3 and OVER1 is the slope -3/1, which is -3. This number goes beside (in front of) the x. The line crosses the y-axis at 4, fill that in at the end of the equation (the second blank).
The equation for the line is
y = -3x + 4
Write the equation of the circle graphed below.
Step-by-step explanation:
eq of a circle is
(x-h)^2+(y-k)^2=r^2
h is 0
k=3
r is 1.5 this is radius of the circle
x^2+(y-3)^2=1.5^2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).
The slope of is
The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.
We have given that,
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
What is the coordinate?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)
Therefore we get,
2 the answer is 2/1 but just write 2.
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Find the x-intercept of the rational function.
A (-5,0)
B (0,-5)
C (0, -1)
D (-1, 0)
Answer:
(-5,0)
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses the x axis where x = -5
The y value is 0
(-5,0)
Answer:
A
Step-by-step explanation:
The x -intercept is 'shorthand' for x - AXIS intercept
where the graph crosses the x - axis
this will always have a ZERO value for the 'y'- coordinate
looking at the graph this point is -5,0
Find the equation of the line passing through the points -2x+1 (8,2)
The line that passes through (-2, 1) and (8, 2) is:
y = (1/10)*x + 12/10
How to find the equation of the line?I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).
A general linear equation is written as:
y = a*x + b
If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, we know that it passes through (-2, 1) and (8, 2), then:
[tex]a = \frac{2 - 1}{8 - (-2)} = 1/10[/tex]
Then the line is:
y = (1/10)*x + b
To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.
2 = (1/10)*8 + b
2 - 8/10 = b
20/10 - 8/10 = b
12/10 = b
Then the linear equation is:
y = (1/10)*x + 12/10
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−3(a−8)+4a=−8(a+3)+3
Which of the following is the correct order of the polynomial
2y5+y+3y7-4y³ +12?
Answer:
3y⁷ + 2y⁵ - 4y³ + y + 12
Step-by-step explanation:
2y⁵ + y + 3y⁷ - 4y³ + 12
(greatest - least powers)
I hope this helps!
Help with math work
Answers for different section are given below;
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, given function;
f(x) = -x² - 4x + 6
1. If we take -1 common from the given function, we get
f(x) = -1 (x² + 4x - 6)
f(x) = -1 (x² + 4x) + 6
Thus, first block contains -1 and second block contains 4.
2. Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².
f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6
f(x) = -1 ( x² + 4x + 2²) +4 + 6
Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.
3. Then we factorize the bracket and simplify outside the bracket;
f(x) = -1 (x + 2)² + 10
Thus, first block contains -1, second block contains 2 and third block contains 10.
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please help me with my math
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve for y and z ~
[tex]\qquad \sf \dashrightarrow \: z + 61 = 180[/tex]
[ Co- interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: z = 180 - 61[/tex]
[tex]\qquad \sf \dashrightarrow \: z = 119 \degree[/tex]
now,
[tex]\qquad \sf \dashrightarrow \: 5y + 14 = 119[/tex]
[ by Alternate interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: 5y = 119 - 14[/tex]
[tex]\qquad \sf \dashrightarrow \: 5y = 105[/tex]
[tex]\qquad \sf \dashrightarrow \: y = 21 °[/tex]
3. Find x 75° (4x 25)°
If two lines intersect, then their opposite angles are equal. Then the value of x is 25°.
The missing graph is given below.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Then the value of x will be
75° = (4x - 25)°
100° = 4x
x = 25°
Then the value of x is 25°.
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what is the degree for the polynomial below ?
2x^(2)+3x + 1
Answer:
The exponent is 2, so the degree is 2
) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?
Step-by-step explanation:
please mark me as brainlest
In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temperatures of the three cities?
Which Answer-
A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature
B.
Bangkok's temperature < Moscow's temperature < Cape Town's temperature
C.
Bangkok's temperature > Moscow's temperature > Cape Town's temperature
D.
Bangkok's temperature > Cape Town's temperature > Moscow's temperature
The correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given that:-
In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow.We have the data from the question that the temperature of Bangkok is hotter than cape town.
Bangkok > Cape town
And the temperature of Cape town is hotter than Moscow.
Cape town > Moscow
Now for both the statements, the inequality will be given as:-
Bangkok's temperature < Cape Town's temperature < Moscow's temperature.
Therefore the correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.
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In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?
Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.
s = Θ · r
r = Θ · s
s = Θ + r
r = Θ + s
The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r
How to determine the arc length?See attachment for the complete question
From the complete question, we have:
Θ represents the central angler represents the circle radiusThe angle is given in radians.
So, the arc length is calculated using
Arc length = Angle * Radius
Substitute known values
s = Θ * r
Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r
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Answer:
A
Step-by-step explanation:
On Edge
Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.
The complete question is given below:-
liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.
If she cubed the number of the plants will be:- P³
Now she added two vegetable plants:- 2
Then the equation will be: - p³ + 2. Now we will put the value of p = 3 in the equation.
Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29
Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.
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PLEASE HELP ME I'LL MARK U AS BRAINLIEST IF U GIVE ME THE RIGHT ANSWERS + GOT QUESTION A RIGHT JUST NEED QUESTION B AND C'S ANSWER
answer for b
catch the 9:10 bus from Beasley.
answer for c
10:06
hope this might help u.
Answer:
Answer for B is 9:10 for Beasley and The answer for C is 10:06
Step-by-step explanation:
Point p has coordinates (-4,-2) and point q has coordinates (4,3) calculate the shortest distance between P and Q. Give your answer to 1 decimal place
Answer:
distance = 9.4 units
Step-by-step explanation:
* using the distance formula *
d =
[tex] \sqrt{(x2 - x1 )^{2} + (y2 - y1)^{2} } [/tex]
[tex] \sqrt{( - 4 - 4) ^{2} + ( - 2 - 3) ^{2} } [/tex]
= 9.4 units
What value of k makes the equation true? (5a^2b^3)(6a^kb)=30a^6b^4
The value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
We have an expression given as:-
(5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
The mathematical properties we knew
[tex]x^mx^n = x^{m+n}[/tex]
[tex]x^m[/tex]÷[tex]x^n=x^{m-n}[/tex]
So the expressions will be written as:-
(5. 6 . a². a[tex].^k[/tex] .b³ .b = 30a⁶b⁴.
30 ( [tex]a^{2+k}[/tex])([tex]b^{3+1}[/tex]) = 30a⁶b⁴.
Comparing the terms we will get:-
[tex]a^{2+k}[/tex] = a⁶
2 + k = 6
k = 6 - 4
k = 4
Therefore the value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
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Roni wants to write an equation to represent a proportional relationship that has a constant of proportionality equal to StartFraction 7 over 25 EndFraction. She writes the equation y = x + StartFraction 7 over 25 EndFraction. What error is Roni making?
She should have written y = negative x + StartFraction 7 over 25 EndFraction so that x and y have a constant sum.
She should have written x y = StartFraction 7 over 25 EndFraction so that x and y have a constant product.
She should have written y = StartFraction 7 over 25 EndFraction x so that x and y have a constant quotient.
She should have written y = StartFraction 7 over 25 EndFraction so that y has a constant value.
Answer:
y = 7/25x
Step-by-step explanation:
For a proportional relationship, we have
y ∞ x.
Let k = constant of proportionality = 7/25
Removing the proportionality sign, we have
y = k x
Therefore, the answer is
y = 7/25x
Instead of y= x + 7/25
So, the error is that x should be multiplied by 7/25 and not added.
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