Answer:
3.68 inches × 77.28 inches
Step-by-step explanation:
Given that,
The perimeter of a rectangle is 162 inches.
Let the width is b.
ATQ,
Length = 7 times than 3 times the width
l = 7(3b) = 21b ...(1)
The perimeter of a rectangle is given by :
P = 2(l+b)
Put all the values,
162 = 2(21b+b)
81 = 22b
b = 3.68 inches
Put the value of b in equation (1)
l = 21b
= 21 (3.68)
= 77.28 inches
Hence, the dimensions of the rectangle are 3.68 inches × 77.28 inches
For each point, identify the axis or quadrant where the point is located.
Drag and drop the choices into the boxes to complete the table.
HELP PLEAASSEE!
Answer:
(0,6) ==> y-axis
(5,-2) ==> Quadrant IV
(-1,10) ==> Quadrant II
(5,0) ==> x-axis
(8.7,2.3) ==> Quadrant I
[tex]( - \frac{1}{4} \: \: \: - 6 \frac{1}{2} ) \: = = > quadrant \: iii[/tex]
First term: 2 3/4 sixth term: 3 7/12 what is the rule
Answer:
we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Step-by-step explanation:
Given
[tex]a_6=3\frac{7}{12}=\frac{43}{12}[/tex]
[tex]a_1=2\frac{3}{4}=\frac{11}{4}[/tex]
We know the arithmetic sequence with the common difference is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
where a₁ is the first term and d is a common difference.
so
a₆ = a₁ + (6-1) d
substituting a₆ = 43/12 and a₁ = 11/4 to determine d
[tex]\frac{43}{12}=\:\frac{11}{4}\:+\:5d[/tex]
switch sides
[tex]\frac{11}{4}+5d=\frac{43}{12}[/tex]
subtract 11/4 from both sides
[tex]\frac{11}{4}+5d-\frac{11}{4}=\frac{43}{12}-\frac{11}{4}[/tex]
[tex]5d=\frac{5}{6}[/tex]
Divide both sides by 5
[tex]\frac{5d}{5}=\frac{\frac{5}{6}}{5}[/tex]
[tex]d=\frac{1}{6}[/tex]
as
a₁ = 11/4
[tex]d=\frac{1}{6}[/tex]
Therefore, the nth term of the Arithmetic sequence will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 1/6 and a₁ = 11/4
[tex]a_n=\frac{11}{4}+\left(n-1\right)\frac{1}{6}[/tex]
[tex]=\frac{11}{4}+\frac{1}{6}n-\frac{1}{6}[/tex]
[tex]=\frac{31}{12}+\frac{1}{6}n[/tex]
Therefore, we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Joelle wants to place an oversized image which is 30.51 cm wide so that it appears centered on the page. The width of the page is 21.59 cm. In the program, horizontal positions to the right of the leftmost edge of the page are positive. What horizontal position for the left edge of the image should Joelle use to center the image?
-4.46cm
Step-by-step explanation:
The horizontal midpoint of the page is;
The horizontal midpoint of the image is given as;
For the image to be centered, these to midpoints must be on the same point in the axis.
If we take the leftmost edge of the paper to be point zero on the axis, then, the distance accommodated by the paper is 10.795cm. The distance that goes beyond this leftmost edge is computed as;
On the axis, this is on the negative side. Therefore, the horizontal position for the left edge of the image that Joelle should use to center the image is -4.46cm.
Which expressions are equivalent to 6a(5+d) ?
SELECT EACH CORRECT ANSWER (theres more than 1)
30a+6ad
(6a⋅5)+(6a⋅d)
11a + d
30a+(6a⋅d)
30ad
Answer:
first, second and fourth
Step-by-step explanation:
If you use distribution,
6a(5+d) is the same as
6a(5) + 6a(d)
Multiplied = 30a + 6ad
So it's the 1st 2nd and fourth choice.
1st is stated above when multiplied out and combined.
2nd is after distribution.
4th choice is basically combination of 1 and 2 where one is combined (first term) and the second one just set up to be multiplied.
It cannot be third because you are multiplying the factors and not adding so you cannot have 11a.
It cannot be last choice because you have different types of terms that cannot be combined (one with a alone and one with ad)
Answer:
(6a*5) + (6a*d)
30a + 6ad
30a + (6a*d)
Step-by-step explanation:
Hope you ace your test!
A peice of fabric costs $5.29 a yard which is an estimated cost of 16.3 yards of fabric?
Answer:
90
Step-by-step explanation:
$5.29 * 16.3 = $86.227
=$86.23
86.23 could be rounded up to 90
A rectangle prism has three dimension
Answer:
yes but what is your question?
Step-by-step explanation:
Answer:
A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area.
Hope is that the answer u were looking for :)
Find the cost per gallon. 8 gallons of gas for $28.48.
A. $3.50
B. $3.56
C. $3.05
D. $3.65
Answer:
B. $3.56
Step-by-step explanation:
You take $28.48 and divide it by 8
28.48 / 8 = 3.56
/ = divide
What is the constant of proportionality between y and x in the graph
Answer:
5.1
Step-by-step explanation:
X=number of hours
Y=number of tents made
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
What is the slope? What does it represent?
Answer:
[tex]Slope = 1[/tex]
It represents: The number of tents made in an hour
Step-by-step explanation:
Given
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
Required
Determine the slope
The slope is calculated as:
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Pick any two corresponding values of x and y
[tex](x_1,y_1) = (0,6)[/tex]
[tex](x_1,y_1) = (8,14)[/tex]
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Slope = \frac{14 - 6}{8 - 0}[/tex]
[tex]Slope = \frac{8}{8}[/tex]
[tex]Slope = 1[/tex]
It represents: The number of tents made in an hour
PLEASE HELP ITS DUE TODAY!!
Select the correct answer from each drop down menu. City
A -10
City B -1
City C -20
City D -2
The city whose temperature is closest to 0C is _____ and the city whose temperature is farthest from 0C is ______
Answer:
b.c
Step-by-step explanation:
DUE AT 11:59 I NEED HELP ASAP PLEASE HURRY
Answer:
4
Step-by-step explanation:
8/3x=4+5/3x
8/3-5/3x=4
x=4
a line has a slope of -1/2 and a y-intercept of -2. what is the x-intercept of the line?
Answer:
-4
Step-by-step explanation:
I dunno, need help!
helpppppppppppppppppp
Answer:
2 solutions
Step-by-step explanation:
Given the expression
2m/2m+3 - 2m/2m-3 = 1
Find the LCM of the expression at the left hand side:
2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1
open the bracket
4m²-6m-4m²-6m/(4m²-9) = 1
Cross multiply
4m²-6m-4m²-6m = 4m² - 9
-12m = 4m² - 9
4m² - 9+12m = 0
4m² +12m-9 = 0
Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2
Consumer complaints are frequently reported to the Better Business Bureau. In one year the industries with the most complaints to the Better Business Bureau were banks; cable and satellite television companies; collection agencies; cellular phone providers; and new car dealerships. The results for a sample of 200 complaints are contained in the DATAfile named BBB.Click on the datafile logo to reference the data.Bank 26, Cable 44, Car 42, Cell 60, Collection 28(a) Show the frequency and percent frequency of complaints by industry.Industry Frequency % Frequency Bank Cable Car Cell Collection Total (b) Which industry had the highest number of complaints?- Select your answer -Banks/Cable and satellite television companies/Collection agencies/Cellular phone(c) Comment on the percentage frequency distribution for complaints.The input in the box below will not be graded, but may be reviewed and considered by your instructor.
Answer:
Consumers Complaints
a) Frequency and Percent Frequency of Complaints by Industry:
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
b) The Cellular Phone industry has the highest number of complaints.
c) The percentage frequency distribution of complaints shows that many consumers are not satisfied with the services of their cellular phone providers. This highest level of service dissatisfaction is followed by services rendered by Cable and Satellite Television Companies and Car dealers, in that order. Comparatively, less dissatisfaction was showed to Collection and Bank services.
Step-by-step explanation:
a) Data and Calculations:
Bank 26
Cable 44
Car 42
Cell 60
Collection 28
Industry Frequency % Frequency
Bank 26 13% (26/200)
Cable 44 22% (44/200)
Car 42 21% (42/200)
Cell 60 30% (60/200)
Collection 28 14% (28/200)
Total 200 100%
Write the expression in exponential form.
3
4/16^
A)
1/4
13^
B)
3/16
4^
C)
16/3
4^
D)
3/4
16^
Answer:
B
Step-by-step explanation:
If 5/2 kg of carrots cost $3,how much will 3/2 kg cost?
Answer:
first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.
So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg
no trolls i need help asap please!!!
Answer:
These triangles cannot be proven congruent
Step-by-step explanation:
The 3 angles in ∆FGH are congruent to the 3 corresponding angles on ∆ABC.
These mean that the two triangles have the same shape and we can conclude that they are similar to each other.
However, knowing just the 3 angles is not enough to prove that both triangles are congruent to each other. This is because, for two triangles to be congruent to each other, all 3 angles and 3 sides of one triangle must be congruent to the corresponding 3 angles and 3 sides of the other. That is, they have the same shape and size.
Therefore, the triangles given above cannot be proven congruent.
If the length of a cube is 2cm then find the surface area of the cube?
Given:
Length of a cube is 2 cm
To Find:
Surface area of the cube
Solution:
A cube consists of 6 faces.
The area of each face = side x side
So, the total surface area of a cube = 6 x
side x side
Let a be the length of the given cube
: Surface area of a cube = 6a square
a = 2 cm (Given)
Surface area of cube = 6 x 22 =(6 x 4) = 24 cm square.
Hence, the surface area of the given
cube is 24cm square.
Hope it helps!
Please Help answer has much as you can
Answer:
24 is the answer ok 21/7
is 3 and multiply it with 8 that is 24
2]
q = -3
2^-2 times how much is 2^-1?Does the answer match your answer from question 3a? Why or why not?
Answer: This value of x, 2, matches the answer from question 3a . This value shows that the area painted the first weekend is twice the area painted the second weekend.
Attend to precision. Suppose that ∠1 and ∠2 are same-side interior angles formed by two parallel lines cut by a transversal, and that m∠1=7x-4 and m∠2=20x-5.
a.What is the value of x?
b.What is m∠1?
c.What is m∠2?
d.Explain how you found your answers.
9514 1404 393
Answer:
a) x = 7
b) m∠1 = 45°
c) m∠2 = 135°
Step-by-step explanation:
a) Same-side interior angles are supplementary, so we have ...
∠1 +∠2 = 180
(7x -4) +(20x -5) = 180
27x = 189
x = 7
__
b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.
m∠1 = 7x -4 = 7(7) -4 = 45
m∠1 = 45°
__
c) Angle 2 is the supplement of angle 1, so ...
m∠2 = 180° -45°
m∠2 = 135°
__
d) We used the relationship of angles at a transversal and the properties of equality.
Determine whether the given number is an irrational number or a rational number and place it in its representing
category
Irrational Numbers
Rational Numbers
Answer:
Answer below
Step-by-step explanation:
Rational:
36
7/16
81
Irrational:
120
48
pi
The rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
From the definition of rational and irrational number, we can identify the rational and irrational numbers as below:
Rational numbers:
√36 = 6
7/16
√81 = 9
Irrational number:
√120
√48
π
Thus, the rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
Learn more about the irrational number here:
brainly.com/question/17450097
#SPJ2
Given the points A(3, -8) and B(1, 2), what is the approximate length of AB?
O 10.2
O 6.3
O 10.8
O 7.2
O 12.2
Answer:
[tex]d \approx 10.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A (3, -8)
Point B (1, 2)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(1-3)^2+(2+8)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-2)^2+(10)^2}[/tex]Exponent: [tex]d = \sqrt{4+100}[/tex]Add: [tex]d = \sqrt{104}[/tex]Simplify: [tex]d = 2\sqrt{26}[/tex]Evaluate: [tex]d = 10.198[/tex]Round: [tex]d \approx 10.2[/tex]Answer:
10.2
Step-by-step explanation:
If u steal point i report
Answer:
Y:4 X:540
Step-by-step explanation:
Answer: first divide so you make it one and then you multiply hope that helps
Step-by-step explanation: then you can add them to get by one then multiply
Please help! Will give brainliest
Answer:
option A
Step-by-step explanation:
f(x)+g(x) will lead to addition of the fractions
LCM of 2x and x² is 2x²
{(2x²×½x)+(2x²×4/x²)}/2x²
x+8/2x²
PLZ HELP WILL GIVE BRAINLEST
Answer:
it's the fourth one i did that assignment aswell
Round 27,141 to the nearest ten
A trombone acts like an open pipe of length 2.96 m .On a cold day it plays,its 4th harmonic at 221 hz what is the speed of the sound waves in the horn that day?
Answer:
327.08 m/s
Step-by-step explanation:
Given that:
Length of pipe = 2.96m
4th harmonic frequency = 221 Hz
Speed of wave in the horn :
Speed of wave (v) = fλ
For 4th harmonic :
Wavelength, λ = (2/4)L
λ = L/2 ; 2λ = L
2λ = 2.96
λ = 2.96 / 2
λ = 1.48 m
Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s