Answers
( 31.2u + 0.2 v ) is expression represents the perimeter of rectangle .
What is rectangle short answer?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.length of rectangle = ( 7.2u + 9.9v)
width of rectangle = ( 8.4u - 9.8v)
perimeter of rectangle = 2( l + b )
= 2 ( 7.2u + 9.9v + 8.4u - 9.8v )
= 2 ( 7.2u + 8.4u + 9.9v - 9.8v )
= 2 ( 15.6u + 0.1v )
= ( 31.2u + 0.2 v )
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Related Questions
Tell which definition, postulate, or theorem gives the justification.
- Geometry
Answers
The condition m∠GLA + m∠ALD = m∠GLD is proved by the Angle Addition Postulate.
What is termed as the Angle Addition Postulate?According to the Angle Addition Postulate, the measure of an angle made of two angles adjacent to each other is the sum of the two angles' measures. The Angle Addition Postulate can be employed to compute the angle formed by two or more angles, as well as to compute the assessment of a missing angle. The Angle Addition Postulate states that if two angles are placed side by side, the measure of a resulting angle would be equal to the sum of the original two angle measures. This postulate requires that the vertices, that are the angle's corner points, be placed together.For the given question;
A is the interior angle of ∠GLD.
m∠GLA + m∠ALD = m∠GLD is proved by the Angle Addition Postulate.
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Which expression can be used to check the answer to 56÷(-14)= -4?
Answers
the given expression is,
56 /(-14)
[tex]\begin{gathered} =\frac{56}{-14} \\ =-4 \end{gathered}[/tex]so the answer is -4.
you can check the answer
by multiplying the (-14) to -4,
[tex]\begin{gathered} \frac{56}{-14}=-4 \\ 56=-14\times-4 \\ 56=56 \end{gathered}[/tex]LHS = RHS so we use the expression -14 x -4 to check the answer.
An airplane flies with a constant speed of 804 miles per hour. How far can it travel in 3 hours?
Answers
The distance covered by the aeroplane moving with constant speed is 2412 miles in 3 hours.
What is meant by the speed of the body?The distance moved per unit of time is referred to as speed. It is the rate at which an object moves. The magnitude of a velocity vector is represented by the scalar quantity speed. It lacks a sense of direction. A higher speed indicates that an object moves faster. Lower speed indicates that it is moving more slowly. It has zero speed if it is not moving at all.The formula: is the most common method to count the constant speed of an object traveling in a straight line.The formula for speed is;
Speed = distance/ time
s = d/t
For the given question,
An air plane flies with a constant speed of 804 miles per hour.
speed 's' = 804 mi / hour.
Time 't' = 3 hours.
Put the values in formula.
804 = d/3
d = 804×3
d = 2412 miles
Thus, the distance covered by the aeroplane moving with constant speed is 2412 miles in 3 hours.
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PLEASE HELP!
What is the value of (−14)3 when evaluated?
A. −2,744
B. −196
C. 42
D. 2,744
Answers
Answer:
−2,744
Step-by-step explanation:
What is the value of [tex](-14)^{3}[/tex] when evaluated?
A. −2,744
B. −196
C. 42
D. 2,744
HELP PLEASE
Which one of the following absolute value equations and inequalities have a solution set that is NOT the empty set?
O |2x-51|-3 = -2
O |5x-1| +8 < 6
O 3|x-4|+5 < 4
O 2|x + 7| +3 = 2
Answers
For the given absolute value equations and inequalities the following have solution set which is not empty set.
a. |2x-51|-3 = -2 has solution set x = 25 or 26.
b |5x-1| +8 < 6 has empty set.
c. 3|x-4|+5 < 4 has empty set.
d. 2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.
As given in the question,
Solution set of the absolute value equations and the inequalities are as follow:
a. |2x-51|-3 = -2
⇒ |2x-51| = -2+3
⇒ |2x-51| = 1
⇒ 2x -51 = 1 or 2x -51 = -1
⇒ 2x = 52 or 2x = 50
⇒ x= 26 or 25
Solution set is x = 25 or 26.
b. |5x-1| +8 < 6
⇒|5x-1| < -2
⇒5x -1 < -2 or 5x -1 > 2
⇒ x< -1/5 or x > 3/5
Empty set.
c. 3|x-4|+5 < 4
⇒3|x-4| < -1
⇒x -4 < -1/3 or x -4 > 1/3
⇒ x< -11/3 or x > 13/3
Empty set.
d. 2|x + 7| +3 = 2
⇒2|x + 7| = -1
⇒|x + 7| = -1/2
⇒ (x+7) = -1/2 or (x+7) = 1/2
⇒x= -15/2 or -13/2
Solution set is x= -15/2 or -13/2.
Therefore, For the given absolute value equations and inequalities the following have solution set which is not empty set.
a. |2x-51|-3 = -2 has solution set x = 25 or 26.
b |5x-1| +8 < 6 has empty set.
c. 3|x-4|+5 < 4 has empty set.
d. 2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.
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Blank x – 18 = 3( – x – 6 )
Answers
We expand the bracket :
3(-x - 6) = 3 x (-x) - (3 x 6)
= -3x - 18.
So, we have :
___ - 18 = -3x - 18
Add 18 to both sides :
___ = -3x
=> The quantity we need to find is -3x.
The following data values represent a sample. What is the variance of the sample? x = 7. Use the information in the table to help you.
A. 14.4
B. 4.2
C. 18
D. 3.8
X 7 5 11 1 11
(x₁ - x)² 0 4 16 36 16
Answers
The variance of the sample mean x = 7 is 18(option c).
Given table:
X 7 5 11 1 11
(x₁ - x)² 0 4 16 36 16
n = number of observations = 5
Variance σ² = 1/n-1 Σ[tex]\ \ n} \atop {i=1} \right.[/tex] ([tex]X_{1}[/tex] - X)²
= 1/5-1 (0 +4 + 16 + 36 + 16)
= 1/4(72)
= 18
Therefore variance σ² = 18
Hence the variance of the sample mean x = 7 is 18.
so option c is correct.
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find 9th term for 2,5,8,11
Answers
Answer: 26
Step-by-step explanation:
2+3=5
5+3=8
8+3=11
11+3=14
14+3=17
17+3=20
20+3=23
23+3=26
a box with a square base has length plus girth of 108 in. (girth is the distance ""around"" the box.) what is the length of the box if its volume is 2200 in3 ?
Answers
Answer:
88
Step-by-step explanation:
Blank x + 16 + x = – 3 x – 4
Answers
The value of x from given linear equation is -4.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For example, 2x+3=8 is a linear equation having a single variable in it.
Given that x + 16 + x = – 3 x – 4
To find the value of x solving the given linear equation
x + 16 + x = – 3 x – 4
⇒ 2x + 16 = -3x - 4
⇒ 2x + 3x = -4 -16
⇒ 5x = -20
⇒ x = -20/5
⇒ x = -4
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find the ratio of 5 days to 60 hours
Answers
The ratio of 5 days to 60 hours is 2:1.
What is the ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)The number of common shares each convertible security receives when converted is known as the conversion ratio. The more common shares are exchanged for each convertible security, the higher the ratio.So, the ratio of 5 days to 60 hours:
We know that 60 hours is 2.5 days.Then, ration os 5 days to 2.5 days
5:2.52:1Therefore, the ratio of 5 days to 60 hours is 2:1.
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The figure shown has two parallel lines cut by a transversal:
A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left.
Use the figure to complete the sentence. (4 points)
∠3 and ____ are alternate interior angles.
∠2
∠6
∠5
∠8
Answers
Answer:
∠5
Step-by-step explanation:
If Im not mistaken with the order of angles, ∠5 is the answer because they are both angles in the middle of he transversal making them interior angles, then alternate is pretty self explanatory.
(30 points) Circle A is____ to circle B.
A. Tangent
B. Concentric
C. Coplanar
D. Congruent
Answers
Answer:Co planar
Step-by-step explanation:
There are different types of relation between circles,
Congruent circles: Two circles are congruent to each other if they have same size( radius, diameter or circumference).
Concentric circles: If two circles have the same center,
Co planar : When the two circles lie on the same plane.
Tangent circle : Circles in a common plane that intersect in a single point.
⇒ They are only co-planer circles.
Simplify m^8 m^ -6
Om^2
0 1/m^2
O-m^14
Answers
Answer: The answer is m^2
Step-by-step explanation:
–26.1 as a mixed number.
Answers
Answer:
-26 [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
.1 as a fraction is 1/10
Answer:
________________________________________________
Step-by-step explanation:
______________________________________________________________________________________________
If a location on a graph has an indegree of 5 and an outdegree of 10 what is the total degree?
Answers
The total degree when the indegree is 5 and the outdegree of 10 is 15.
The number of head ends next to a vertex is referred to as the vertex's indegree, and the number of the tail ends next to a vertex is referred to as the vertex's outdegree (called branching factor in trees).
The location on a graph has an indegree of 5 and an outdegree of 10.
The sum of the indegree and the outdegree is the total degree of the vertex. The indegree is written as deg−(x) and the outdegree is written as deg+(x).
The total degree will be:
= indegree + outdegree
= deg⁻(x) + deg⁺(x)
= 5 + 10
= 15
The total degree is the sum of in and outdegree is 15.
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What is greater 1.0079 or 100.8
Answers
Answer:
100.8 is the correct answer
Answer:
100.8
Step-by-step explanation:
100.8 > 1.0079
9, y = |x-1 table of values?
Answers
From absolute value we get the table of values are for x = 0, we get x = 1, we get y = 0, for x < 0, we get y > 1 and for x > 0, we get y > 1
What is absolute value?
The non-negative value of x, regardless of its sign, is referred to as the absolute value or modulus of a real number in mathematics and is denoted by the symbol |x|. For example, displaystyle |x|=x if x is a positive number, displaystyle |x|=-x if x is a negative number, and displaystyle |0|=0 otherwise.
Given y = |x - 1|
When x = 0, we get
y = |0 - 1|
=> y = |-1| = 1
When x < 0, we get
y > 1, as absolute value always give positive value
When x = 1, then we get
y = 0
When x > 0, then we get
y > 1.
Therefore, the table of values are for x = 0, we get x = 1, we get y = 0, for x < 0, we get y > 1 and for x > 0, we get y > 1
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Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded.
Answers
For given two state parks Elm Grove and Cathedral Rock, the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
Here, we have been given two state parks Elm Grove and Cathedral Rock. Each recorded the number of visitors to the park each day for 15 days.
We were given line graphs of this data.
We have to choose the correct statements about the two plots.
For Elm Grove Park,
Maximum number of visitors: 350
Minimum number of visitors: 50
Range of visitors per day,
350-50 = 300
And in case of Cathedral Rock Park,
Maximum number of visitors 600
At least 300 visitors and the range of visitors per day is 600-300 = 300
This means that the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
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Answer:
A and C
Step-by-step explanation: The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.
The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.
The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.
The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.
If Portia only wanted to make 6 biscuits, how many teaspoons of baking powder would she need? 1 biscuit needs 8 tsp.
Answers
This would be 6•8= 48
Answer is 48
From 1969 through 1977, there were 24 teams in Major League Baseball, and only 4 made the playoffs
each year. Now, there are 30 teams, and 10 make the playoffs. Find the ratio of teams making the
playoffs to those not making the playoffs in 1969 and today.
Answers
The 1969 Major League Baseball season was contested from April 7 to October 16, 1969. It included the third Major League Baseball expansion of the decade, with the Kansas City Royals, Montreal Expos, San Diego Padres, and Seattle Pilots each beginning play this season. The season was also celebrated as the 100th anniversary of professional baseball, honoring the first professional touring baseball team, the Cincinnati Red Stockings of 1869.
This was the first season of the "Divisional Era". With each league expanding from 10 teams to 12 teams, both leagues were divided into two six-team divisions. Teams continued to play 162-game schedules, in place since 1962, by now playing the other five teams in their own division 18 times each (90 games) and playing the six teams in their league's other division 12 times each (72 games). The winners of each division would advance to the postseason and face each other in a League Championship Series, then a best-of-five series, to determine the pennant winners that would face each other in the World Series.
The Baltimore Orioles won the AL East with an MLB-best 109–53 record, and then defeated the AL West champion Minnesota Twins in three games in the first American League Championship Series. The New York Mets won the NL East division with an NL-best 100–62 record, and then defeated the NL West champion Atlanta Braves in three games in the first National League Championship Series. The "Miracle Mets", having joined the league in 1962, were the first expansion team to win a pennant.
The upstart Mets went on to upset the heavily favored Orioles in the World Series, four games to one, in what is considered one of the greatest upsets in World Series history.[1]
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Which statements are true about the solution to the system of equations?
Answers
The statements that are true about the solution to the system of equations are
y coordinate, of the solution is = (-8) ,
x coordinate, of the solution is = (9) , and
The ordered pair that is solution to the system lies in Quadrant IV .
In the question ,
the system of equations are given as
4x+3y = 12 ...(1)
and 2x +3y = -6 ...(2)
to solve for x and y , we subtract equation (2) from equation(1) .
So , On subtracting , we get
(4x+3y)-(2x+3y)= 12-(-6)
4x+3y-2x-3y = 12+6
4x-2x +3y-3y = 18
2x = 18
x = 18/2
x = 9
Put x=9 in equation [tex](1)[/tex], we get
4(9)+3y=12
36+3y=12
3y = 12-36
3y = -24
y= -24/3
y = -8
Since x coordinate is +9 and y coordinate is -8 ,
so the solution lies in Quadrant IV.
Therefore , The statements that are true about the solution to the system of equations are
y-coordinate, of the solution is = (-8) ,
x-coordinate, of the solution is = (9) , and
The ordered pair that is solution to the system lies in Quadrant IV .
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Use the following images to complete the sentences describing the ratio of tusks to whiskers.
There are 2 tusks for every
There is 1 tusk for every
whiskers.
whiskers.
Answers
There are 2 tusks for every 8 whiskers.
There is 1 tusk for every 4 whiskers.
How are the ratios calculated?
First image:
Number of whiskers in the first image = 4
Number of tusks in the first image = 0
Second image:
Number of whiskers in the second image = 4
Number if tusks in the second image = 2
Total number of whiskers = 4+4
= 8
Total number of tusks = 0 + 2
= 2
Rewriting as ratios,
a) Tusks: whiskers
2: 8
So, from the ratio, there are 2 tusks for every 8 whiskers.
b) Tusks: whiskers
2: 8
1 : 4
So, from the ratio, there is 1 tusk for every 4 whiskers.
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Terrell arranges x roses at $3.50 each with 10 carnations at $2.25 each. He makes a bouquet of flowers that averages $3.00 per flower. Choose an equation to model the situation.
Answers
3.5x+22.5/x+10= 3
Step-by-step explanation:
Given,
The number of roses = x,
Price of each rose = $ 3.50,
So, the total price of roses = 3.5x dollars,
Now, the number of carnations = 10,
The cost of each carnation = $2.25,
So, the total cost of all carnations = 10 × 2.25 = $ 22.5,
Thus, the total cost of a bouquet of flowers = ( 3.5x + 22.5 ) dollars,
Also, the total numbers of flower = x + 10,
Hence, the average cost flowers =
According to the question,
The average cost of flowers = $ 3.00
Which is the required equation.
if two parallel lines are cut by a transversal then each pair of alternate interior angles are congruent or supplementary
Answers
if two parallel lines are cut by a transversal then each pair of alternate interior angles are congruent.
Two straight lines are parallel if they intersect a horizontal line so that their corresponding angles are coincident. Two line segments are parallel if they intersect the transverse line so that the alternating interior angles are congruent. When two parallel lines cross a horizontal line, they form an equilateral interior angle, and their sum equals 180 degrees.
The angles are complementary because the sum of the interior angles on equal sides is 180 degrees. The sum of the interior angles formed by one side of a horizontal line is two right angles. Alternating interior angles are formed by a horizontal line intersecting two parallel lines. They lie between two parallel lines, but on opposite sides of the horizontal line, creating two pairs of alternating interior angles four angles total.
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Solve the compound inequality.
x + 6 <0 or 6x > - 18
Answers
Answer: 6x - 18 = 6 • (x - 3)
Step-by-step explanation: Pulling out like terms
In the figure above, ABCD is a square. What is the value of x?
Answers
Answer:
6x-1 is x=-1
5x+7 is x=7
Step-by-step explanation:
Thank you to who ever answers this question. Have a good rest of your day!
Answers
Answer:
Step-by-step explanation:
Answer: HI! I believe that the answer would be this symbol (I put it below)
>
Step-by-step explanation:
So sorry if this is wrong
NEED HELP ASAP
Which value is closest to (2.4×103)+(5.7×102)?
A
2.97×102
B
2.97×103
C
8.1×105
D
8.1×106
Answers
Answer: C) 8.1 x 105
Somebody help!!!!! I don’t know the answer
Answers
Given expression
[tex][(\cfrac{20}{5}*\cfrac{1}{5})^{-1}]^2[/tex]Step 1Simplify the parenthesis:
[tex][(\cfrac{20}{5}*\cfrac{1}{5})^{-1}]^2=[(\cfrac{4}{5})^{-1}]^2[/tex]Step 2Apply the negative exponent rule:
[tex]a^{-1}=1/a[/tex][tex][(\cfrac{4}{5})^{-1}]^2 = [(\cfrac{5}{4})^{1}]^2[/tex]Step 3Apply the product of a power rule:
[tex](a^b)^c=a^{bc}[/tex][tex](\cfrac{5}{4}})^{1*2}=(\cfrac{5}{4}})^2[/tex]Step 4Apply product of the product law:
[tex]a^2=a*a[/tex][tex](\cfrac{5}{4}})^2=(\cfrac{5}{4}})^(\cfrac{5}{4}})=\cfrac{25}{16}[/tex]