The area of the base of the bin is 9 ft^2.
The given information states that the bin is filled with 126 cubes that have edge lengths of 1/3 ft. To determine the area of the base of the bin, we must first determine the total volume of the bin.
Since each cube has a volume of 1/27 ft^3, the total volume of the bin is 126/27 ft^3. Since the volume of a rectangular prism is equal to the length times the width times the height, we can solve for the area of the base of the bin by rearranging the formula to A = V/h, where A is the area, V is the volume, and h is the height.
We can substitute the values given to obtain A = 126/27 ft^3/h. Since the height of the bin is equal to the edge length of the cubes, which is 1/3 ft, we can substitute that value into the equation to get A = 126/27 ft^3/1/3 ft = 9 ft^2. Therefore, the area of the base of the bin is 9 ft^2.
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What must be added to the polynomial 2x³ 3x² 8x so that it leaves a remainder 10 when divided by 2x 1?
To find the remainder 10 when dividing 2x³ 3x² 8x by 2x 1, the polynomial must be augmented with -12.
What is polynomial?A polynomial is an expression that consists of variables, exponents, and coefficients. It is a mathematical function composed of two or more terms, each of which is a number or a variable multiplied by an exponent. It can be used to represent a variety of relationships in mathematics, including equations, linear functions, quadratic functions, and more.
Therefore, the polynomial that will leave a remainder 10 when divided by 2x 1 is 2x³ 3x² 8x -12.
This is because if we divide the polynomial by 2x 1, the remainder will be the last term of the resulting polynomial, which is -12.
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find the value of x .
9514 1404 393
Answer:
x = (23 1/3)°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
40° +2x +4x = 180°
6x = 140° . . . . . . . . . . . subtract 40°
x = 140°/6 = (23 1/3)° . . . . divide by the coefficient of x
_____
This makes the angles be 40°, 46.67°, and 93.33° (rounded to hundredths).
What is translation in coordinate geometry?
In the coordinate geometry the translation represents one type of transformation to change the location without changing the shape, size.
As given in the question,
In the coordinate geometry,
The translation is one type of transformation.Translation represent the change in the location of the given geometrical figure in the coordinate plane.No change in the shape and size of the geometrical figure.Change in the location vertical and horizontal direction.Right and left direction represents the horizontal direction.Up and down represents the vertical direction.Therefore, in the coordinate geometry the translation represents one type of transformation to change the location of the geometrical figure.
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7. In triangle ACE points B, D and F are midpoints of the sides. If AC=48
and FB=23. Find EC. The diagram is not to scale. 2 points
Since points D and F are the intersections of sides AC and AE, In triangle respectively, DF is parallel to EC and so EC is twice as long as DF. Thus, the value of side EC is 32.
What is the triangle?Given that it has 3 components and three vertices, a triangle qualifies as a polygon. It has a fundamental geometric form. Triangle ABC is the name given to a triangular with the corners A, B, and C. When the three aspects are not collinear, Euclidean geometry yields a single plane and triangle. Triangles are regarded as polygons since they have 3 components and three corners. The points where a triangle's three sides meet are referred to as its corners. Three triangle angles are multiplied to get 180 degrees.
Given :
Triangle ACE
The midpoint of EC is side, where AC = 38 B.
D sits in the middle of EC.
The center of AE is F.
DF = 16.
Given that D is the midpoint of EC and that F is the midpoint of AE, it follows that DF is parallel to AC.
If DF and AC are parallel, then DF and AC are equal to twice each other and DF equals 16. Thus, EC equals 32.
=>EC = 2*DF
=>EC = 2*16
=>EC = 32
It follows that if points B, D, and F are the midpoints of the sides of the triangle ACE, then DF is parallel to AC and EC = 2 x DF = 32.
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I will report files and unhelpful answers!
For his phone service, Frank pays a monthly fee of $28, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is $88.20.
What are the possible numbers of minutes he has used his phone in a month?
Use for the number of minutes, and solve your inequality for.
Answer:
m > = 1204 minutes
Step-by-step explanation:
28 + 0.05m>=88.20
Subtract 28 from both sides. Then divide both sides by 0.05 to get:
m >=1204 minutes
Answer:
The answer is 1204 minutes.
Step-by-step explanation:
First, take away the monthly fee of 28$ of 88.20$. This gets you 60.20$. Then you divide by 0.05$ because this is how much for each minute. 60.20$/0.05$= 1204. Meaning it is 1240 minutes.
88.20-28= 60.20
60.20/0.05= 1240
Hope these formulas help! (:
PLEASE HELP ME! WILL MARK BRAINLIEST TO THE FIRST ONE TO ANSWER PROMISE
Answer:
x = 5in
y = 16in
Step-by-step explanation:
Hypotenuse: 32/8 = 4
So, x = 20/4
x = 5
y = 4*4
y = 16
The temperature of the water in a hot water tank is recorded at 15 minute intervals after the heater is switched on. \begin{matrix} \text{Time (x minutes)} & \text{15} & \text{30} & \text{45} & \text{60} & \text{75} & \text{90}\\ \text{Temperature} (y ^\circ C) & \text{20} & \text{30} & \text{40} & \text{50} & \text{60} & \text{70}\\ \end{matrix} Time (x minutes) Temperature(y ∘ C) 15 20 30 30 45 40 60 50 75 60 90 70 a. Plot a graph of these data on your GDC. b. Find the linear model, T(x), for the temperature of the liquid with respect to time. c. Find the temperature of the water after 85 minutes.
Answer: a. Plotting a graph of the data on a graph paper, you can represent the time on the x-axis and the temperature on the y-axis. And plot the given points (15,20), (30,30), (45,40), (60,50), (75,60), (90,70) as ordered pairs on the graph. This will give you a line graph, showing the temperature increasing over time.
b. To find the linear model, T(x), for the temperature of the liquid with respect to time, you can use the slope-intercept form, y = mx + b, where y is the temperature, x is the time, m is the slope and b is the y-intercept. Using two of the given points, you can find the slope of the line by calculating the change in y over the change in x,
m = (y2 - y1) / (x2 - x1).
where x1,y1 and x2,y2 are two distinct points on the graph.
Once you have the slope, you can use one of the points to find the y-intercept, by substituting the point's coordinates into the slope-intercept form equation and solving for b.
Once you have the slope and y-intercept, you can write the linear model as T(x) = mx + b
c. To find the temperature of the water after 85 minutes, you can substitute the value of x = 85 into the linear model equation that you found in the previous step to get the corresponding value of y (temperature).
Please keep in mind that the temperature and time value here are random and are not based on any real-life scenario, and they were provided to show you the concept of linear model.
Step-by-step explanation:
What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot?
The simplified form of expression is, 12x⁶.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ √144 x³⁶
Now, By the property of square root;
⇒ √ ab = √a × √b
We get;
⇒ √144 x³⁶ = √144 × √x³⁶
And, By using the exponent property, we get;
⇒ xᵃᵇ = xᵃ × xᵇ
So, We get;
⇒ √144 x³⁶ = √144 × √x³⁶
= √144 × √x⁶ × √x⁶
= √12×12 × √x⁶ × √x⁶
= 12 × x⁶
= 12x⁶
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•50 POINTS• don’t explain
-A
-B
-C
Answer:
C. Neither------------------------------------
There is no indication that the given triangles are congruent.
We can see one angle of each triangle is marked as congruent and that is is. No more evidences of congruence and therefore we state the triangles are not congruent.
This is a choice C.
A rope is fixed between two trees that are 10 metres apart. When a child hangs on to the centre of the rope, it sags so that the centre is 2 metres below the level of the ends. Find the lenth of the rope.
The length of the rope is 2√29 meters.
What is an isosceles triangle?
An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
Given that the distance between two trees is 2 meters. A boy hangs on a rope tied to the trees in the middle of the rope.
it sags so that the center is 2 meters below the level of the ends.
Thus it forms an isosceles triangle. △ACD and △BCD are two right triangles.
Since △ABD is isosceles triangle and AD = BD.
In △ACD, Hypotenouse = AD, Base = AC = 10/2 = 5 cm, Height = CD = 2 meters
Apply Pythagorean theorem on △ACD:
AD² = AC² + CD²
AD² = 5² + 2²
AD² = 29
AD = √29
Therefore, BD = √29
The length of the rope is AD + BD = 2√29 meters.
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p(d+z)=2z+3 solve for d
Answer:
D= 2z/p + 3/p = -z
Step-by-step explanation:
27.78% Has a number
Answer:
.2778
Step-by-step explanation:
Solve for D
D^3=27
Enter your answer in the box [____]
No links please!!
Step-by-step explanation:
[tex]D {}^{3} = 27 \\ D = {27}^{ \frac{1}{3} } \\ D = 3[/tex]
What is the inverse of f(x) = -6(x-2)?
please help <3
Answer:
The answer is number 2. f^-1(x)= 2- x/6
Step-by-step explanation:
Just is
PLEASEE HELP PICTURE ATTACHED
if m/P = (12x + 7);, m Q = (6x - 7), and LP
and /Q are complementary angles, find m /Q.
On solving the provided question, we can say that - the valuye os the complementary angle is 83.0000000004.
what is complementary angles?When two angles add up to 90 degrees, they are said to be complimentary. When two angles add up to 180 degrees, they are said to be subservient. . When the sum of two angles equals 90 degrees, they are called complementary angles. For example, 30 and 60 degrees are supplementary angles. A supplementary angle is two angles that add up to 180 degrees, and a supplementary angle is two angles that add up to 90 degrees. of 30 and 60 degrees are supplementary. A supplementary angle is two angles combined to make a 180 degree angle, while a supplemental angle is two angles combined to make a 90 degree angle. Two angles are referred to as complimentary if their total is 90 degrees. Alternatively said, a right angle is created by the complementary angles (90 degrees).
here we have
(12x + 7) = 90
12x = 83
x= 6.9166666667
12x = 83.0000000004
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How to do log2 in Excel?
The syntax for using BASE in Excel is "=LN(number,base)" where "number" is the number for which you want to calculate the logarithm and "base" is the base to which the logarithm should be calculated.
For example, if you want to calculate the logarithm of 10 to the base 2, you would use the formula "=LN(10,2)".
The idea is to express the given integer (20) in terms of either the base or the values given (3 and 5).
Next, since we have the multiplication sign, we use the addition law:
The power of the number becomes the product of the log, so we have:
When you have the same base and number, the result is always 1.
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please assist with helping in the image below!!
find the error & explain why it is wrong: laural had to find the sin 0. what did she do wrong.
Answer:
Step A is incorrect because Lauren identified the wrong formula for sine(θ). Instead, sin(θ) would be equal to opposite / hypotenuse. Then you can substitute getting: 12/15, and once you simplify you get 4/5.
Pat has 6 meters of rope. How many centimeters of rope does pat have?
Answer:
600 centimeters
Step-by-step explanation:
I need help with this question, its confusing.
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5
18x - 9 = 72 and x = 4.5 represents the same value as 3/5(30x - 15) =72.
What is equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.
Here,
2x – 5 and 13 are expressions
The sign that connects these two expressions is “=”.
Given
x = 4.5
And equation
3/5(30x - 15) =72
Simplifying
90x/5 - 45/5 = 72
18x - 9 = 72 -----------(a)
18x = 81
x = 81/18
x = 4.5 ------------(b)
Equation (a) and (b) are among the equations given in the options.
Hence, from the above calculation equations 18x - 9 = 72 and x = 4.5 express the same value of x as 3/5(30x - 15) =72 .
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1/3x-2 × 9x²-4/3x²-13x-10 - 7/x-1
Answer:
Step-by-step explanation:
Combine multiplied terms into a single fraction
one-third x minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
1 x over 3 end fraction minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
Multiply by 1
1 x over 3 end fraction minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
x over 3 end fraction minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
Multiply the numbers
x over 3 end fraction negative 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
x over 3 end fraction negative 18 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1
ASAP 100 POINTS PLUS BRAINLIEST
A local rent-to-own business has a television set advertised with a purchase price of $1,095. 0. Calculate the APR if the finance terms are $29. 99 per week for 73 weeks. Round the final answer to the nearest tenth. (4 points)
73. 4%
71. 4%
81. 2%
Based on the provided information, the APR is 71.4%.
Annual Percentage Rate (APR) is defined as the interest rate which is charged by a lender on an annual basis, expressed in the form of a percentage. The formula for APR is given by
APR = (((Interest Charge+Fees)/(Loan Principal))/(Number of days in loan term)) * 365 * 100
The finance terms in the given case is $29.99 per week for 73week. Hence,
Total amount paid = 29.99*73 = $2,189.27
Loan principal = $1,095
Interest charged = Total amount paid – Loan principal amount = 2,189.27 – 1,095 = $1,094.27
Fees = 0 (as it not mentioned in the question)
Number of days in loan terms = 73*7 = 511 days
Substituting the values in the formula,
APR = ((1094.27/1095)/511) * 365 * 100
APR = 71.4%
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The expression 8x +12y represents the sum of Harry and Mike's total monthly wages, where x represents the number of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the expression, and what can you conclude from rewriting it in this way? 8(x +1. 5y); Harry's hourly wage is 1. 5 times Mike's. 8(x +1. 5y); Mike's hourly wage is 1. 5 times Harry's. 12(8x+y); Harry's hourly wage is 8 times Mike's. 8(x + 4y); Mike's hourly wage is 4 times Harry's.
this is a question of arithmetic and the solution is as follows,
The expression 8x + 12y represents the sum of harry and mike’s total monthly wages.
Generally the equation for the The Distributive property is mathematically given as,
a x (b +c) = a x b+ b x c.
Where
8x+12y
Therefore,
= 4 x 2x + 4 x 3x
= 4 x( 2x + 3x)
= 4( 2x + 3x)
Arithmetic
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division.
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The ratio of black walnut to red oak trees at a tree farm is 4:5. The tree farm
has 1200 black walnut trees. How many black walnut and red oak trees does
the tree farm have altogether?
Answer:
2700
Step-by-step explanation:
1200/4 = 300
300×5 =1500
1200+1500 = 2700
answer pls thank you
Answer:
no cheating on a iready test if you do this you wont get answers good for you dont skip the starting thing this is for your own good try doing it
Step-by-step explanation:
pls help due soon ..........
Answer:
8.5
Step-by-step explanation:
So substitute the vales for r and d
(4*2)
and |-6| means the absolute value of -6, which is just 6
so simplifying the equation would make it
(8+6.5) - 6
14.5-6
8.5 :)
15 points, see attachment
Answer: HG = CD.
Step-by-step explanation: If you tilt the second triangle so it's flat like the first triangle, you can see that HG is equal to CD.
PLEASE PLEASE PLEASE HELP ME THIS QUESTION
PLEASE
ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
142 degrees
Step-by-step explanation:
d-c is 90 degree angle so you add that to the 52 degree
21 divided 2 1/10 x 2 divided 10
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
equals to 2. //spam.so i can post. the answer smzmsmsmsmssssksjdjdj