Answers
Option C:
Surface area of the three dimensional figure is 166 unit².
Solution:
Let us find the area of the net of the figure.
Length = 7, Width = 5, Height = 4
Area of the bottom = length × width
= 7 × 5
= 35 unit²
Area of the Top = length × width
= 7 × 5
= 35 unit²
Area of the left = width × height
= 5 × 4
= 20 unit²
Area of the right = width × height
= 5 × 4
= 20 unit²
Area of the front = length × height
= 7 × 4
= 28 unit²
Area of the back = length × height
= 7 × 4
= 28 unit²
Surface area = 35 + 35 + 20 + 20 + 28 + 28
= 166 unit²
Surface area of the three dimensional figure is 166 unit².
Related Questions
At 10 percent interest, how long does it take to quadruple your money?
Group of answer choices
15.36 years
14.33 years
15.11 years
14.55 years
15.56 years
Answers
It takes about 14.55 years for quadruple your money
Solution:
Given that,
At 10 percent interest, how long does it take to quadruple your money
Rule of 144:
The Rule of 144 will tell you how long it will take an investment to quadruple
Here,
Rate of interest = 10 %
Therefore, number of years to quadruple your money is obtained by dividing 144 by 10
Rule of 144 Formula:
[tex]N = \frac{144}{R}[/tex]
Where:
N = Number of many years times.
144 = Is the constant variable.
R = Rate of interest.
[tex]\rightarrow N = \frac{144}{10} = 14.4[/tex]
Thus it takes about 14.4 years for quadruple your money.
Another method:
If initial amount is $ 1 and it if quadruples it should be $ 4
We have to find the number of years if rate of interest is 10 %
Let "n" be the number of years
Then we can say,
[tex]Amount = Principal(1+\frac{R}{100})^n[/tex]
[tex]4 = 1(1+\frac{10}{100})^n[/tex]
[tex]4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55[/tex]
Thus Option D 14.55 years is correct
If five 4 liter bottles of soda are split evenly among 40 people how many liters of soda will each person get?
Answers
Answer:
.5 or l/2 liter
Step-by-step explanation
4 liters x 5= 20 liters / 40 people =.5 or 1/2 liter
Type in true or false statement... Help ASAP please
Answers
For test point x = –2, the inequality is true.
For test point x = 0, the inequality is false.
For test point [tex]x=\frac{4}{5}[/tex], the inequality is true.
For test point x = 2, the inequality is false.
Solution:
Given expression is the inequality.
[tex]$\frac{5 x-3}{(x-1)(x+1)} \leq 0[/tex]
Substitute x = –2 in the inequality.
[tex]$\frac{5 (-2)-3}{(-2-1)(-2+1) }=\frac{-13}{(-3)(-1) }[/tex]
[tex]$=\frac{-13}{3 }[/tex]
< 0
For test point x = –2, the inequality is true.
Substitute x = 0 in the inequality.
[tex]$\frac{5 (0)-3}{(0-1)(0+1) }=\frac{-3}{(-1)(1) }[/tex]
[tex]$=3[/tex]
> 0
For test point x = 0, the inequality is false.
Substitute [tex]x=\frac{4}{5}[/tex] in the inequality.
[tex]$\frac{5 (\frac{4}{5} )-3}{((\frac{4}{5} )-1)((\frac{4}{5} )+1) }=\frac{1}{(-\frac{1}{5} )(\frac{9}{5} ) }[/tex]
[tex]$=\frac{-25}{9 }[/tex]
< 0
For test point [tex]x=\frac{4}{5}[/tex], the inequality is true.
Substitute x = 2 in the inequality.
[tex]$\frac{5 (2)-3}{(2-1)(2+1) }=\frac{7}{(1)(3) }[/tex]
[tex]$=\frac{7}{3 }[/tex]
> 0
For test point x = 2, the inequality is false.
Hence,
For test point x = –2, the inequality is true.
For test point x = 0, the inequality is false.
For test point [tex]x=\frac{4}{5}[/tex], the inequality is true.
For test point x = 2, the inequality is false.
Answer:
In the picture below
Step-by-step explanation:
Edge 2021
To cover his rectangular backyard, Will needs at least 170.5 square feet of sod. The length of Will's yard is 15.5 feet. What are the possible widths of Will's yard?
Answers
Answer:
11 feet
Step-by-step explanation:
Area of rectangle (170.5cm) = length (15.5) x width
170.5/15.5=width
Width = 11
Hope this helps! :)
Tom has read 2 books for school. Tom read 1/2 of the first book on Thursday and 5/12 of the second book on Friday. What total fraction of these two books has Tom read
Answers
Answer:
35/12
Step-by-step explanation:
1 1/2+1 5/12
=3/2+17/12
=3*6+17*1/12
=18+17/12
=35/12
Tom read a total of 11/12 of the two books combined by reading 1/2 of the first book and 5/12 of the second book, after finding a common denominator to add the fractions.
Explanation:To calculate the total fraction of the two books that Tom has read, we need to add the fractions of each book he has read together. Tom read 1/2 of the first book and 5/12 of the second book.
To add these fractions, they need to have a common denominator. The lowest common denominator between 2 and 12 is 12.
Therefore, we convert 1/2 into 6/12 so that both fractions have the same denominator.
Now, the fractions to be added are 6/12 (from the first book) and 5/12 (from the second book).
Adding these fractions, we get:
6/12 + 5/12 = 11/12
So, Tom has read a total of 11/12 of the two books combined. This method of finding a common denominator and then adding the numerators is an effective strategy to add fractions with different denominators, providing a clear, step-by-step approach to solving such problems in mathematics.
Compute $\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5}.$
Answers
Answer:
216
Step-by-step explanation:
1. √{6^6}
2. √(6^3)^2}
3.6^3
4.216
Mark me Brainliest!
Hope this helps!
-ShadyK
The value of the given expression is 216.
The given expression is,
[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5[/tex]
Square Root Computations:
The square root of a number is the number that we require to multiply by itself to obtain the original number
Now, solving the given expression as,
[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5}=\sqrt{2\cdot6\cdot6^4+2\cdot6\cdot6^4+2\cdot6\cdot^4}\\ =6^2\sqrt{12+12+12}\\ =36\sqrt{36}\\ =36\sqrt{4\cdot9}\\ =36\cdot2\cdot3\\=216[/tex]
Learn More information about the simplification:
https://brainly.com/question/1367802
Which equality represents a proportional relationship?
A) -2.8/-2 = 4.2/3
B) 2.6/1.3 = 4.2/2
C) 2/5 = 8/9
D) 3/4 = 7/12
Answers
Answer:
the answer to your question is b
please could someone help me?
Answers
if you have a scientific calculator type in y=4/3x+4
and you should find your answer
HELP ASAP! what is the answer for 8x^2 + 25y?
Answers
Answer:
Step-by-step explanation:
There is no answer because this is a formula
We need an equation — something that equals something else
Assuming you mean
[tex]8x^2 + 25y = 0\\25y = -8x^2\\y = -\frac{8}{25}x^2[/tex]
What simplified ratio correctly compares 27 feet to 36 feet?
Answers
The simplified ratio that correctly compares 27 feet to 36 feet is 3:4
Step-by-step explanation:
Step 1: Simplify the ratio by finding common factor
Step 2: Here, in this case the lowest common factor is 3. Divide both numerator and denominator by 3.
⇒ 27/36 = 9/12 (on dividing by 3)
⇒ 9/12 = 3/4 (again on dividing by 3)
quadratic function of 13 and 2
Answers
Answer:
[tex]f(x) = {x}^{2} - 15x + 26[/tex]
Step-by-step explanation:
Assuming we want to write a quadratic function with intercepts x=13 and x=2.
Then we can work backwards.
This means that:
x-13=0 and x-2=0
The factored form of this quadratic function becomes:
[tex]f(x) = (x - 13)(x - 2)[/tex]
We expand to get:
[tex]f(x) = {x}^{2} - 2x - 13x + 26[/tex]
We simplify to obtain:
[tex]f(x) = {x}^{2} - 15x + 26[/tex]
Item 16
A rectangular garden is 5 feet long and 3 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden?
Answers
Percentage change in perimeter is 100%.
Step-by-step explanation:
Step 1: Given length of rectangle 1, length = 5 ft and breadth = 3 ft.Calculate perimeter of R1 = 2 (length + breadth) = 2 (5 + 3) = 16 ft
Step 2: Given dimensions of 2nd rectangle is twice the first, length = 10 ft and breadth = 6 ft.Calculate perimeter of R2 = 2 (10 + 6) = 32 ft
Step 3: Calculate percentage change using the formula, (R2 - R1/R1) [tex]\times[/tex] 100= (32 - 16/16) [tex]\times[/tex] 100 = 100%
(5x+17)+(2x+50) What does x equal?
Answers
Answer:
Step-by-step explanation:
(5x+17)+(2x+50)
5x+2x + 17+50
7x+67
IF 7x+67 = 0
7x = -67
x = - 67/7 OR x = -9.57
1.5 3.9 6.3 8.7 what is the sequence term
Answers
Answer: 1.9
Step-by-step explanation:
because you keep adding 1.9 to get your result
Answer:
11.1
Step-by-step explanation:
3.9 - 1.5 = 2.4
if you add 2.4 to one of the numbers in the sequence it will be the next number.
1.5 + 2.4 = 3.9
3.9 + 2.4 = 6.3
6.3 + 2.4 = 8.7
if this is the case then 8.7 + 2.4 = 11.1
What is the prime factorization of 35? 1 • 35 12 • 5 • 7 1 • 5 • 7 5 • 7
Answers
Answer:
5·7
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
5×7 = 35
Both 5 and 7 are prime numbers, so that is the prime factorization.
Which of these strategies would eliminate a variable in the system of equations?
\begin{cases} 8x + 5y = -7 \\\\ -7x + 6y = -4 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
8x+5y=−7
−7x+6y=−4
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Multiply the top equation by 666, multiply the bottom equation by -5−5minus, 5, then add the equations.
(Choice B)
B
Multiply the bottom equation by 888, then add the equations.
(Choice C)
C
Multiply the top equation by 777, then add the equations.
Answers
Multiply the top equation by 6 and and the bottom equation by –5 and then add the equations is the correct answer.
Solution:
Given system of equations:
8x + 5y = –7 – – – – (1)
–7x + 6y = –4 – – – – (2)
Multiply top equation by 6 and and bottom equation by –5
(1) × 6 ⇒ 48x + 30y = –42
(2) × –5 ⇒ 35x – 30y = 20
Now add these two equations, we get
(48x + 30y) + (35x – 30y) = –42 + 20
48x + 35x + 30y – 30y = –42 + 20
83x = –20
The variable y is eliminated.
Therefore Multiply the top equation by 6 and and the bottom equation by –5 and then add the equations is the correct answer.
Answer:
Multiply the top equation by −5, then add the equations.
Step-by-step explanation:
Did it on Khan Academy
What’s 3 5/8 as a fraction
Answers
What is an equivalent fractions to 5/12
Answers
Answer:
exact form is 5/12
decimal form is 0.416666
Step-by-step explanation:
Equivalent fractions are fractions that have the same value or proportion. To find an equivalent fraction to a given fraction, you multiply or divide both the numerator and the denominator by the same number. Therefore, 10/24 and 15/36 are equivalent fractions to 5/12.
Explanation:To find an equivalent fraction to 5/12, you simply multiply or divide both the numerator (the top number) and the denominator (the bottom number) by the same non-zero number. An equivalent fraction will have a different numerator and denominator, but it will represent the same value or proportion. For example, if we multiply both the numerator and the denominator of 5/12 by 2, we get 10/24. Therefore, 10/24 is an equivalent fraction to 5/12.
Similarly, if we multiply 5 (the numerator) and 12 (the denominator) by 3, we get the equivalent fraction 15/36.
So, 5/12 = 10/24 = 15/36 in terms of value or proportion.
Learn more about Equivalent Fractions here:https://brainly.com/question/23075364
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3. Find the circumcenter of triangle EFG with E(2,6), F(2,4), and G(6,4)
(4,4)
(5,4)
(4,5)
(2,5)
Answers
Answer:
(4,5)
Step-by-step explanation:
We are to find the circumcenter of triangle EFG with vertices
E(2,6), F(2,4), and G(6,4)
Let S(x,y) be the circum center. Then this point is equidistance from E, F and
G
i.e. [tex]ES=FS=GS\\ES^2 =FS^2 =GS^2[/tex]
[tex](x-2)^2+(y-6)^2 =(x-2)^2+(y-4)^2 =(x-6)^2+(y-4)^2 \\i.e. x^2-4x+4+y^2-12y+36 = x^2-4x+4+y^2-8y+16 = x^2-12x+36+y^2-8y+16 \\4y = 20: y =5\\8x=32\\x=4[/tex]
Thus circumcenter is (4,5)
Graph the function y=-2x+6
Answers
Answer:
See photo
Step-by-step explanation:
The line is in slope-intercept form which looks like y = mx + b.
"x" and "y" represent points on the line.
"m" is the slope (how steep the line is) and if the line goes up (+) or down (-).
"b" is the y-intercept, which is where the graph hits the y-axis.
Take information from the equation y=-2x+6. Use the slope and the y-intercept to graph to line.
m = -2 = [tex]-\frac{2}{1}[/tex] (Fraction form).
b = 6
Plot a point at the y-intercept on the y-axis
If the y-intercept is 6, so you plot the point at (0, 6). (The y-intercept occurs when x = 0).
Find another point
Count the number of rise and run from the y-intercept.
Remember the slope is [tex]\frac{rise}{run}[/tex]
Run is the number of squares moving right. Rise is the number of squares moving up (if positive) or down (if negative).
Since the slope is -2/1, move two squares down and one square to the right to find another point on the line.
Connect the points
You only need two points to make a line. If you want the line to be longer, you can extend it with a ruler.
Other formatting rules
Remember to add arrows at the ends of the x and y axis.
Also, add arrows to the ends of the the line that you graphed.
Most teachers ask you to label the line with the equation.
A circle circumference is approximately 76 cm estimate the radius diameter and area of the circle
Answers
Answer: r = 12.1cm, d = 24.2cm, Area = 460.0cm²
Step-by-step explanation:
From the formula,
Circumference of a circle = πd or 2πr.
To find the radius, we have to equate 76 cm to πd or 2πr and make r or d the subject of the formula. Now
76 = 2πr, don't forget that
π = 22/7 or 3.142
Now make r the subject of the formula
r = 76/2π
= 76/2 x 3.142
= 76/6.284
= 12.1 cm
d = 2r
= 2 x 12.1
= 24.2cm.
Area of the circle is πr²
= 3.142 x (12.1)²
= 3.142 x 146.41
= 460.0 cm²
Write an expression that is equivalent to 7-3(4-2x)-10x
Answers
Answer:
-5-4x
Step-by-step explanation:
7-3(4-2x)-10x
7-12+6x-10x
-5+6x-10x
-5-4x
7-12+6x-10x
or
-5-4x
Simplify the answer to get equivalent expressions
A box measures 1 ft. long, wide, and 1/2 1/2 ft high. Find the volume in Inches .
Answers
Answer:
volume is 432 cubic inches
Step-by-step explanation:
A box measures 1 ft. long, 1/2 ftwide, and 1/2 ft high.
we need to find the volume of the box
Volume of the box formula is
[tex]volume = length \cdot width \cdot height\\[/tex]
convert all the measurement into inches
1 feet = 12 inches
1/2 feet = 6 inches
length = 12 inches, width = 6 inches , height = 6 inches
now we plug in the values in volume
[tex]volume = 12 \cdot 6 \cdot 6= 432 in^3[/tex]
Triangles PQR and XYZ are similar. What is the length of XZ? 6 5.25 3.5 2.57
Answers
Option B: 5.25 is the length of XZ
Explanation:
The triangles PQR and XYZ are similar.
To determine the length of XZ, let us use the similarity theorem.
The theorem states that, "if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar".
Thus,
[tex]\frac{QR}{YZ} =\frac{PR}{XZ}[/tex]
Let us substitute the values from the diagram, we have,
[tex]\frac{4}{3} =\frac{7}{XZ}[/tex]
Multiplying both sides by 3, we get,
[tex]4 =\frac{21}{XZ}[/tex]
Thus,
[tex]XZ =\frac{21}{4}=5.25[/tex]
Thus, the length of XZ is 5.25
Hence, Option B is the correct answer.
Can you do 985.2 divided by 100
Answers
Answer:
OF course!Dividing by 100 just means move the decimal two places to the left, so the answer is 9.652
Step-by-step explanation:
Answer:
=9.852
Step-by-step explanation:
985.2/100
=9.852
what is the total sum of x=56y
Answers
Which of the following is the value of f(3) in the function below? f(x)=2x-1
Answers
Answer:
F(3) = 2 * 3 - 1, which is 6 - 1 equaling 5.
Step-by-step explanation:
3 times 2 is six since you have to follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction). Multiplication is before Subtraction, and that is why we multiply 2 and 3 first, since 3 replaces the variable x. After multiplying 2 and 3 to get 6, subtract by 1 to get 5.
Answer: 5
If the side of the square measures 14 mm, what is the length of y?
What is the area of the square?
Answers
You and three friends spend $35 on tickets at the movies.Write and solve an equation to find the price of one ticket
Answers
Answer:
$8.75
Step-by-step explanation:
You and three friends = 4 people
$35 / 4 people = $8.75
The cost of one ticket is $8.75
Hope this helps :)
23
Select the correct answer.
What happens to an electric current produced from an electromagnet when the direction of the magnetic field changes?
A.
The current stops.
B. The current increases.
C.
The direction of the electric current changes.
D.
The current decreases.
E.
The direction of the electric current stays the same.
Reset
Next
Answers
The direction of the electric current will change with the change in the direction of the magnetic field. So the answer is C.
Answer:
For plato users: Option C.
Step-by-step explanation: