Answer:
42 ft²
Step-by-step explanation:
You need the total surface area of the box which is shaped like a rectangular prism.
surface area = area of bases + lateral area
Let length = 3 ft, width = 2 ft, height = 3 ft.
The base is a rectangle 3 ft by 2 ft.
The perimeter of the base is 2(3 ft + 2 ft) = 10 ft
The lateral area is (perimeter of the base) × height = 10 ft × 3 ft = 30 ft²
The area of the two bases is 2 × (3 ft × 2 ft) = 12 ft²
The total surface area is 30 ft² + 12 ft² = 42 ft²
Troy prepared 10 kilograms of dough after working 2 hours. How many hours did Troy work if
he prepared 25 kilograms of dough? Solve using unit rates.
Answer:
he worked 5 hours ..........
Answer:
5 hours
Step-by-step explanation:
to find unit rate:
10/2 which is 5
so 5 kg per hour
find for 25 kg:
25/5 which is 5.
so 5 hours.
What is the following sum?
If these equation.
[tex]4\left(\sqrt[5]{x^2 y} \right) +3 \left( \sqrt[5]{x^2 y} \right)\\\\=(4+3) \left( \sqrt[5]{x^2 y} \right)\\\\=7 \left( \sqrt[5]{x^2 y} \right)[/tex]
[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]
Step-by-step explanation:The equation:
[tex]4 \sqrt[ 5 ]{ { x }^{ 2 } y } +3 \sqrt[ 5 ]{ { x }^{ 2 } y } [/tex]
1) Collect like terms by adding their coefficients ( [tex]3[/tex] and [tex]4[/tex])
[tex](3+4)\sqrt[ 5 ]{ { x }^{ 2 } y }[/tex]
2) Calculate
[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]
Which trigonometric function does the graph below represent?
Answer:
I believe it 2 cos(20 - ℼ/8) - 1 or 2 sin(20 + ℼ/4) - 1
Step-by-step explanation:
If anyone can help me with this then thank you. :)
Answer:
steps below
Step-by-step explanation:
(a) first green: 8/23 AND 2nd green: 7/22
AND: multiplication.. 8/23 x 7/22 = 28/253 ≈ 0.11 (11%)
(b) 15/23 x 8/22
please help me find area and perimeter to this!!!!
Answer:
area: 105.3
perimeter: 66.7
Step-by-step explanation:
area: 13*16.2/2 = 105.3 formula S = B*H
perimeter: 31+16.2+19.5 = 66.7
3. Figure CDEF is a parallelogram. Find the length of each side.
Answer:
de=30,fc=30,cd=22
Step-by-step explanation:
so r =5
6*5=30
10*5-20=30
2*5+12=22
so the only left is fe so cd=fe
fe=22
Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.
y < 6
y ≥ –3x – 1
A. (0, 6)
B. (6, 0)
C. (-6, 5)
D. (-6, -2)
Answer:
Your answer is B
Step-by-step explanation:
6.14 Checkpoint: Systems of Linear Inequalities
I took the test.
Hey circle has a diameter of 20.41 feet which measurement is closest to the circumference of a circle in feet?
Answer:
64.0874 or 20.41pi
Step-by-step explanation:
circumference = diameter x pi
C = D x pi
C = 20.41pi(lets say pi is 3.14)
C = 64.0874
Find the quotient of 213.21 and 15.8. Round your answer to the nearest tenth.
Answer:
13.5
Step-by-step explanation:
213.21÷15.8= 13.494
Rounded : 13.5
A package of 8 notebooks costs $10.80. This equation can be used to determine the cost, n, in dollars, of each notebook in the package.
8n = 10.80
What is the cost, in dollars, of each notebook in the package?
Enter your answer in the box.
Answer:
$1.35
Step-by-step explanation:
8n = 10.80
Divide both sides by 8 to get n alone.
n = 10.80/8 = $1.35
What is 564-53.2
Explain how you worked it out
Then what is 700.3-89.3
Explain how you worked it out
The side lengths of a triangle are 5,3, and 4. Is this a right triangle?
Answer:
YES
Step-by-step explanation:
as 5,3 and 4 are Pythagorean triplets, with 5 being C/the hypothenuse it would work as a right angled triangle.
3^2+4^2=c^2
9+16=c^2
25=c^2 c=5
Select the correct answer from each drop-down menu. Graph shows 3 polygons on a coordinate plane. First polygon is at A(1, 1), B(2, 3), C(4, 3), D(3, 1). Second polygon prime ABCD is translated 2 units down and reflected. Third polygon double prime ABCD translated 2 units to the left and reflected. The figure shows three parallelograms: ABCD, A′B′C′D′, and A″B″C″D″. Polygon ABCD is to create parallelogram A′B′C′D′. Polygon ABCD is to create parallelogram A″B″C″D″.
The transformation that took place is a horizontal stretch by a factor of 2
How to explain the transformation?We are given that Polygon ABCD transformed to create polygon A'B'C'D'. Clearly, the polygon is first a translation of the polygon ABCD 1 unit to the right and then it is horizontally stretched by a scale factor of 2.
Since the length of the polygon was earlier 2 units and then the length of the Polygon A'B'C'D' is 4 units. Hence, the transformation that took place in the Polygon ABCD is a horizontal stretch by a factor of 2
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Answer: A Horizontal Stretch by a Factor of 2
Step-by-step explanation:
Please help........................................
Answer:
4:25
8:125
Step-by-step explanation:
Surface Ratio is the "Similarity Ratio" to the power of 2
Volume Ratio is the "Similarity Ratio" to the power of 3
It's logical and deductable by paying attention to the correlation between the "Side"s(or "Diameter"s) and the "Surface" and the "Volume"s in simple shapes like Circles and square.
By paying attention to the formula of the "Surface Area" and the "Volume" or the m /m^2 /m^3 ( the units of measurement) we can easily notice the relation.
The area of a rectangle is x² + 2x -15. If its length is x + 2 units, what is its width?
Length of the rectangle is 8 units
Step-by-step explanation:
Step 1: Find the length, let width be x.Area of the rectangle = 48 units
Length = x + 2
⇒ Area = Length × Breadth
48 = x (x + 2)
48 = x² + 2x
x² + 2x - 48 = 0
x² + 8x - 6x + 48 = 0 (Product Sum rule to factorise)
x(x + 8) - 6(x + 8) = 0
(x - 6)(x + 8) = 0
⇒ x = 6, -8 (negative value is neglected)
∴ x = 6
x + 2 = 8
An art teacher buys 128 boxes of markers. Each box holds 16 markers. How many total markers does the art teacher buy?
Answer:
2048 markers
Step-by-step explanation:
One box has 16 markers and the teacher buys 128 boxes, then total would be
128 boxes x (16 markers / 1 box) = 2048 markers
Complete the function table for the function y=(1/2)x+3
Answer:
76
U
768
Is just for fun heh brother
A rectangle has an area of 243 square centimeters. Its length is 3 times its width. What are the dimensions of the rectangle?
Length - 27 cm
Width - 9 cm
Step-by-step explanation:Here we go (hope this helps),
The area of the rectangle is 243. To get area, you do length x width. Your equation will look like this
3x (x) = 243
Simplify this using PEMDAS
3x^2 = 243
Next, you divide both sides by 3 to undo the times 3
x^2 = 81
Then, you take the square root of both sides to undo the squared symbol
x=9
Using this, you know the width is 9. Since the length is 3x the width, you know that 3 x 9 is 27 and you can clearly see that the dimensions are 9 and 27!
Have a great day! Hope this could help!Simplify.
10(15 + n)
150 + 1077
50 + 77
150 + n
1507
Helpppp
Answer:
A
Step-by-step explanation:
In this problem you'd simply distribute the 10. So 10x15 and 10*n
150+10n
- - - - - - - -- - - - - - - - - - -- -- - - - - - - -- - - - - - - - - - -- - - - - - - -- - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is 10(15+n) equal to?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Multiply 10 times 15:-
150
Multiply 10 times n:-
10n
Add the terms:-
150+10n
Good luck.-- - - - - - - - - - - -- - - - - - - - - - -- - - - - -- -- - - - - - - - - - - - - -- - - - - - - -
A party favor is made up of four equal solids and is constructed from paper. Each of the four solids is open at the end. The net represents one of the solids.
A net of a solid has a square base with side lengths of 2 inches, and 4 triangular sides with a height of 3 inches. B is the base, and C, D, and A are the triangular sides.
How much paper is needed to make a party favor?
Answer:
B, 12, 48.
Step-by-step explanation:
Hope this helped!
Which of the following sets of numbers is not a Pythagorean triple?
A: 5, 12, 13
B: 10, 15, 20
C: 7, 24, 25
D: 3, 4, 5
By rounding to one significant figure, estimate the answer to these questions:
Answer:
To have one significant figure means to have one number with a significant value. Since all of the answers are greater than one, the final answer with the correct sig figs involves using the two leftmost numbers. If the second leftmost number is greater than 5, round the leftmost number up one unit. If the number is less than 5, leave the leftmost number alone. Finally, change all of the values besides the leftmost to zero. There should be no decimal place because having it would mean the zeros to the left of the decimal place are significant.
29 x 31
-------------- = 3329.6 ------> 3,000
0.27
4.8 x 37
--------------- = 845.7 --------> 800
0.21
9.7 x 26
--------------- = 11463.6 -------> 10,000
0.022
Please help me, 65 points to someone who can help me.
Answer:
x = -0.5 , x = -5.5Step-by-step explanation:
Solving
-4x² = 24x + 114x² + 24x + 11 = 04x² + 24x + 36 - 36 + 11 = 0(2x + 6)² - 25 = 0(2x + 6)² = 25⇒ 2x + 6 = ±5Case 1 : x = +5
2x + 6 = 52x = -1x = -1/2x = -0.5Case 2 : x = -5
2x + 6 = -52x = -11x = -11/2 x = -5.5A car used 1/72 of a galloon of gas to drive 1/3 of a mile.At this rate,how many miles can the car travel using 1 galloon of gas?
Answer:
24
Step-by-step explanation:
3 x 1/72 = 1 mile
72/3 = 24
The car will use 1 gallon of gas per 24 miles
I need help with this question.
To complete the chart make sure you to determine the number of girls and boys in each belt category, and verify the total people.
What does this task requires?This requires you to complete the chart presented based on graph, a data chart, or similar.
How to complete the chart?Carefully read the graph or data chart.Start filling out each of the categories and find out the missing values. For example if there are 15 people with black belt and 8 are girls it can be concluded 7 people are boys.Add the total in each category and make sure these totals match the total people.Note: This question is incomplete; due to this, the answer is based on general knowledge.
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Give the value of C for which the equation has one solution.
What’s the answer for this? Please help
Answer:
[tex]c = 9[/tex]
Step-by-step explanation:
[tex] {(x - a)}^{2} = {x}^{2} - 2ax + {a}^{2} \\ 2ax = 6 \\ a = 3 \\ c = {a }^{2} \\ c = 9[/tex]
Felipe and Samantha use a payment plan to buy musical instruments.felipe writes the equation y=-30x+290 to represent the amount owed y,after x payments.The graph shows how much Samantha owns after each payment Who will pay more each month
An equation is formed of two equal expressions. Felipe is paying $6 more each month.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation that represents Felipe's payment per month is given as y=-30+290, therefore, the amount that Felipe pays every month is the gradient of the line slope of the equation y=-30+290 which is 30.
Similarly, the graph showing Samantha's payment, the slope will be,
m = (y₂-y₁)/(x₂-x₁) = (240-0)/(0-10) = -24
Thus, we can conclude that Felipe is paying $6(30-24)more each month, because the amount paid by Felipe is 30, while the amount paid by Samantha is 24.
Hence, Felipe is paying $6 more each month.
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The function f(x) = 2* and g(x) = f(x) + k. If k = 2, what can be concluded about the graph of
g(x)?
the graph of g(x) is shifted vertically
Select a Value
the graph of g(x) is shifted horizontally
Type here to search
RI
Answer:
The graph of g(x) is shifted up 2 units.
Find the Surface area?
Answer:
768 m²
Step-by-step explanation:
» Concepts
Surface area is the amount of area covered by the surface of an object. In a rectangular prism, the formula to find the TSA (total surface area) is [tex]2(wl+hl+hw)[/tex], where w = width, l = length, and h = height.
» Application
We are asked to find the surface area of a rectangular prism with a width of 14m, a length of 15m, and a height of 6m. Now, we have to apply the aforementioned formula using these measurements.
» Solution
[tex]2(14*15+6*15+6*14)[/tex] [tex]2(210+90+84)[/tex][tex]2(384)[/tex][tex]768[/tex]Solve for the variable
5= 10/t + 3
Answer:
T=5
Step-by-step explanation:
5 -3 = 10/t
2 =10/t
2t = 10
T = 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve for the variable 5=10/t+3.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.
Since we have numbers on both sides, we need to move all numbers to the right:-
[tex]\bold{5=\dfrac{10}{t} +3}[/tex]
[tex]\bigstar[/tex] Subtract 5 on both sides:-
[tex]\bold{0=\dfrac{10}{t} +3-5}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{0=\dfrac{10}{t} -2}[/tex]
[tex]\bigstar[/tex] Now, subtract 10/t on both sides:-
[tex]\bold{-\dfrac{10}{t} =-2}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{\dfrac{10}{t} =2}[/tex]
[tex]\bigstar[/tex] Multiply by t on both sides:-
[tex]\bold{10=2t}[/tex]
[tex]\bold{2t=10}[/tex]
[tex]\bigstar[/tex] Divide by 2 on both sides:-
[tex]\bold{t=5}[/tex]
Good luck with your studies.[tex]\rule{300}{2}[/tex]