Answer:
El perímetro de la región impresa es 72 cm y su área es 288 cm².
Step-by-step explanation:
1. Tenemos el perímetro de la hoja de papel:
P₁ = 96 cm = 2l₁ + 2a₁ (1)
Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):
[tex] l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm [/tex] (2)
[tex] a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm [/tex] (3)
El perímetro del rectángulo interno es:
[tex] P_{2} = 2l_{2} + 2a_{2} [/tex] (4)
Introduciendo la ecuación (2) y (3) en (4):
[tex] P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm [/tex]
Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.
2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:
[tex] l_{2} = 2a_{2} [/tex] (5)
Introduciendo (5) en (4):
[tex] P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2} [/tex]
[tex] a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm [/tex]
[tex] l_{2} = 2a_{2} = 2*12 cm = 24 cm [/tex]
Entonces el área es:
[tex] A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2} [/tex]
Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².
Espero que te sea de utilidad!
-. Find the common difference for the arithmetic sequence: 36, 30, 24, 18.
3.5 times 4.9 using a area model
Answer:
17.15
Step-by-step explanation:
Jamal works as an electrician apprentice he rewired for electrical outlets for electrical outlets in 1 1/2 hours. If it worked at the same pace for 7.5 hours, how many outlets will he rewire?
5 outlets
13 outlets
20 outlets
30 outlets
Answer:
13
Step-by-step explanation:
they go at diffrent speed of electric.
Find the the equation of the line passing through the points (3,3) and (4, 5)
Answer:
y = 2x - 3
Step-by-step explanation:
Given:
(3, 3) and (4, 5)
Solve:
Find the slope (m) between the two points:
m = (y2 - y1)/(y2 - 1)
(x1, y1) = (3, 3)
(x2, y2) = (4, 5)
m = (5 - 3)/(4 - 3)
= 2/1
m = 2
Slope-intercept form (y = mx + a):
y = 2x + a
To find a, plug in one of the points into the equation:
3 = 2(3) + a
3 = 6 + a
3 - 6 = a
a = -3
y = 2x - 3
30(30-x)=540 what is the value of x
Answer:
x = 12
Step-by-step explanation:
Original equation:
30(30 - x) = 540
Use distributive property
30 · 30 = 900
30 · (-x) = -30x
Plug these values back into the equation
900 - 30x = 540
Subtract 900 from both sides
-30x = -360
Divide both sides by -30
x = 12
Hope this helped :)
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One hundred people attended Nick’s game. 61 were adults and 39 were kids. There were 41 males and 59 females. Find the ratio of kids/total attendance
Answer:
The ratio would be 39:100.
Step-by-step explanation:
Select all that apply. Which ratios are
equivalent to 4:5?
7:8
8:10
12:15
14:15
Answer:
12:15 and 8:10
Step-by-step explanation:
Josh works for a construction company that uses 150 pounds of gravel for each driveway they pour. He can buy a dump truck load with 30,000 pounds of gravel or a pick-up truck load with 2,500 pounds. Which amount should he buy so that no gravel is left after all of the driveways are poured and why?
Answer:
Josh should by the dump truck with 30,000 pounds of gravel in it
Step-by-step explanation:
the easiest way to find this out is divide 30,000 and 2,500 by 150 and if the answer is a whole number, then you know that is the correct answer.
30,000/150 = 200
2,500/150 = 16.6666666666666
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In the diagram, which two angles must be supplementary with angle 6? 4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12. Angle 5 and Angle 7 Angle 1 and Angle 10 Angle 14 and Angle 16 Angle 7 and Angle 11
Answer:
The first one
Step-by-step explanation:
The peep above me is right.
The two angles must be supplementary with angles 6 will be 5 and 7.
What are lines and angles?An infinitely long row of evenly spaced dots that extends in both directions makes up a line. Its length is the only dimension it has. An illustration of a line is a horizontal mark made on a piece of paper. A figure made by two rays that intersect at the same endpoint is referred to as an angle.
Given that 4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16,
The supplementary angles to angle 6 are angle 5 and angle 7. Because two combinations of angles are having a sum of 180 degrees. The diagram is attached with the answer below.
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Alpha JKL has vertices J(-3,7), K(2,8), and L(-3, 12). Find the perimeter of AJKL to the nearest tenth.
Answer:
Alpha JKL has vertices J(-3,7), K(2,8), and L(-3, 12). Find ...brainly.com › Mathematics › High School
20 hours ago — Alpha JKL has vertices J(-3,7), K(2,8), and L(-3, 12). Find the perimeter of AJKL to the nearest tenth. - 18900060.
Step-by-step explanation:
What is the value of x?
А.3
B.2
C.4
D.5
so i think the answer is 16 , but I'm not sure
Answer:
Im pretty sure its 16 but please for the love of god wait for someone else to answer
Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y=8/3
x?
HELP ASAP
Hi there!
[tex]\large\boxed{y = \frac{8}{3}x - \frac{2}{3}}[/tex]
A line parallel to y = 8/3x has a slope of 8/3, therefore:
Plug the given slope into the slope-intercept formula, along with the given coordinates to solve for the formula:
2 = 8/3(1) + b
2 = 8/3 + b
6/3 = 8/3 + b
6/3 - 8/3 = b
b = -2/3
Therefore, the equation in slope formula is:
y = 8/3x - 2/3
how is perimeter measured?
A)Using the metric system
B)Cubic units
C)Linear units
D)Units squared
Perimeter is the linear distance around an object.
It is measured in c) linear units
Perimeter is measured in linear units .
Given,
Perimeter
So,
Perimeter is the linear distance around an object.
For example,
Perimeter of circle is 2πr which means that the region which is considered is outer region along the radius of the circle and complete one circle that is 2π .
Similarly,
Perimeter of square is 4a that means the square is covered along its side 4 times that is along the sides of square .
Thus
It is measured in linear units.
Learn more about perimeter,
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this is for pre-calc can someone pls help
Answer:
Question 18: 453,600
Step-by-step explanation:
Is this table a function or not a function
Answer:
it is a function
Step-by-step explanation:
Answer:
NO It isn't a function
Step-by-step explanation:
To first find out if something is a function or not, you see is the any of the x values given are the same ans if they are, its automatically not a function. There are also other ways to find out if it is or isn't.
what is the missing reason in the proof
Answer: converse of diagonals theroem ( A PEX )
shhsgxjabahwhdsbsn d a
Answer:
its not loading??
Step-by-step explanation:
Rewrite, using the distributive property 7(3z + 12) = [?]z + [|]
Answer:
21z+84
Step-by-step explanation.
7x3=21 then put the z at the end 21z.
7x12=84. Put it after the 21z. 21z+84
is 21.5 x 103 in scientific notation? Explain.
Answer:
Scientific Notation:21.5*10^3
Standard Notation:21,500
Step-by-step explanation:
Solve for b.
76 - 15 = 56 - 3
PLEASE HELP
Answer:53
Step-by-step explanation:
Use a calculator lol
Hello help me please
Answer:ED=9, DF=9sqrt3, and EF=18
Step-by-step explanation:30-60-90 triangle, a:short, asqrt3:longer, 2a:longest
m∠E=60°
Suppose you intend to spend no more than $60 buying books. Hardback books costs $12 and paperbacks cost $5. How many books of each type can you buy
Answer:
You could either but 5 hardbacks or 12 paperbacks
Step-by-step explanation:
Answer:
I can buy at most 5 hardback books or 12 paperbacks.
Step-by-step explanation:
Let h be the number of hardback books and p the number of paperbacks.
[tex]12h+5p\leq 60[/tex]
If I don't buy any paperbacks, I can buy at most 5 hardbacks.
If I don't buy any hardbacks, I can buy at most 12 paperbacks.
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3 x minus 5 = negative 2 x + 10?
Answer:
C. –15 = –5x
Step-by-step explanation:
I did the test
8)
x + 24 - 9x = -8
Solve the equation
Answer:
x=4
Step-by-step explanation:
jus answered this
Answer:
X= +4
Step-by-step explanation:
[tex] - 8x + 24 = - 8 \\ - 8x = - 32 \\ x = \frac{ - 32}{ - 8} = + 4[/tex]
What is the slope of the line represented by the equation y = 4/5x-3?
-3
-4/5
4/5
3
Answer:
4/5
Step-by-step explanation:
The slope of given linear equation is [tex]\frac{4}{5}[/tex]
Answer:
Step-by-step explanation:
it is 4/5
The probability that i will throw a six with a dice is
[tex] \frac{1}{6} [/tex]
what is the probability that I will not throw a six?
There are 6 numbers on a die. 5 numbers are not 6, so you have a 5/6 probability of not rolling a 6.
The answer is 5/6
What is the missing number? 4(_ + 7) = 36 + 28
If you could show a step by step explanation that would be awesome!
Answer:
Step-by-step explanation: 9
9514 1404 393
Answer:
9
Step-by-step explanation:
Divide the equation by 4:
(_ +7) = 9 + 7
Subtract 7:
_ = 9
The missing number is 9.
which is closer to 0 3/8 or -1/3
Answer:
-1/3 is closer to 0
Step-by-step explanation:
3/8 is between 0 and -1/3. We need to determine if 3/8 is closer to -1/3 or closer to zero. Since -1/3 is smaller than 3/8, 3/8 is closer to -1/3. Since 3/8 is closer to -1/3, 3/8 rounded to the nearest -1/3 is -1/3.
Is y = x^2 + 1 a function