A rectangle of dimensions 60 units x 40 units is drawn on grid paper with vertices in
the nodes of the grid. A cell of the grid is 1 unit * 1 unit. A diagonal of the rectangle is
drawn. How many cells have been cut into two (not necessarily equal) parts?
Answers
The number of cells which have been cut into two parts is approximately ; 72 units
According to the question;
The rectangle has dimensions 60 units x 40 units.Provided a cell of the grid is 1 unit * 1 unit.
When a diagonal of the rectangle is drawn;
The number of cells which have been cut into 2 pieces is the length of the diagonal of the rectangle.
Diagonal, D² = 60² + 40²D² = 3600 + 1600D² = 5,200D = √5200D = 72.11 unitsRead more;
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Answer: 80
see attached
Step-by-step explanation:
If you do a 3x2 units, and draw a diagonal line, you'll see 4 units are cut. because it's 60x40, then means BOTH lengthwise & widthwise you'll repeat 20 times, so 20*4 units = 80 units.
Related Questions
two and twenty-seven hundredths
Answers
Actual number
[tex]\\ \sf\longmapsto 202700[/tex]
Number in words=two hundred and two thousands and seven hundreds
Select the correct answer.
Which two ratios are NOT equal?
A.
1 : 6 and 3 : 18
B.
2: 14 and 3: 42
C.
12: 6 and 2: 1
D.
3: 11 and 6: 22
Answers
Answer:
B
Step-by-step explanation:
Equal ratios can be found by multiplying/ dividing the parts by the same value.
A
1 : 6 ( multiply both parts by 3 )
= 3 : 18 ← equal ratios
B
2 : 14 ( multiply both sides by 3 )
= 6 : 42 ≠ 3 : 42 ← ratios not equal
C
12 : 6 ( divide both parts by 6 )
= 2 : 1 ← equal ratios
D
3 : 11 ( multiply both parts by 2 )
= 6 : 22 ← equal ratios
A company makes a profit of $y (in thousand dollars) when it produces x computers, where y is given by the formula = ( − 100)( − 200) for ≥ 0 If 120 computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
(7 marks) c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Answers
lol no
just give up in life
The function is used to model real life situation
The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000
(a) The value of a
The function is given as:
[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]
The profit on 120 computers is 3200000.
So, we have:
[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]
[tex]\mathbf{3200000 = -1600a}[/tex]
Divide both side by -1600
[tex]\mathbf{a = -2000}[/tex]
Hence, the value of (a) is -2000
(b) The maximum profit
The function becomes
[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
Expand
[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]
[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]
Expand
[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]
Differentiate
[tex]\mathbf{y' = -4000x + 600000}[/tex]
Set to 0
[tex]\mathbf{-4000x + 600000 = 0}[/tex]
Collect like terms
[tex]\mathbf{4000x = 600000}[/tex]
Divide both sides by 4000
[tex]\mathbf{x = 150}[/tex]
Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]
[tex]\mathbf{y = 5000000}[/tex]
150 computers must be produced to maximize the profit of $5,000,000
c) Range when the target is at least $4,800,000
This means that:
[tex]\mathbf{y \ge 4800000}[/tex]
So, we have:
[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]
Collect like terms
[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]
[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]
Divide through by -2000
[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]
Factorize
[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]
Express as inequality
[tex]\mathbf{140 \le x \le 160}[/tex]
A range of 140 to 160 computers would give the company at least $4,800,000
Read more at:
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(6x + 7) + (13x + 21) = 180
x =
Answers
Answer:
Step-by-step explanation:
x=4
BRAINLIEST
Two questions to solve
Please no trolling
Answers
Answer:
Step-by-step explanation:
question 13:
the triangle with x is a 30-60-90 triangle which means
x= 17√3
then the traingle with y and z is a 45-45 triangle
z=34
y= 34√2
question 14:
x= 18√3
z=9
y= 18
( For Brainly )
On which body part a temporal lobe is placed?
The square root of 81 is?
Answers
Answer:
On which body part a temporal lobe is placed?
answer-
behind the ears
The square root of 81 is?
answer-
9
Four bags of puppies show dog food weight 142 pounds what is the weight in one pound of one bag of the puppy chow dog food
Answers
Answer:
I think youre trying to ask the weight of one of the bags
Step-by-step explanation:
the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10
Answers
nth term 12 10 8 6 4
Answers
Answer:
12-2(n-1).
Step-by-step explanation:
It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.
X/2-1/5=x/3+1/4
Plz I need fast
Answers
Answer:
X= - 6/20
Step-by-step explanation:
Find the lcm in both sides,,,
Do a cross multiple of the sides,
Daryl spent $4.68 on each pound of trail mix. He spent a total of $14.04. How many pounds of trail mix did he purchase?
Answers
Answer: 3 pounds
Step-by-step explanation:
brainliest me
Answer:
3
Step-by-step explanation:
14.04 divided by 4.68 is 3
What is the nth term rule of the lines
5, 8, 11, 14, 17....
Tn
Answers
I think the answer is 3n+2.
Answer:
3n+2
Step-by-step explanation:
Triangle ABC is similar to triangle EFD. What
scale factor is required to dilate triangle ABC
so that its image, A'B'C', is congruent to
triangle EFD?
Answers
what is the place value of 2 in 842567
Answers
Answer:
842567
the answer is thousands
7 is ones
6 is tens
5 is hundreth
2 is thousands
4 is ten thousands
8 is hundred thousands
Hope This Helps!!!
Jordan saved $15.00 because he bought a pair of jeans on sale of 40% OFF. What was theoriginal cost of the jeans?
Answers
Answer:
$21.00
Step 1- Solve 40% of $15.00
=$6.00
Step 2- Add the 40% to the discount amount
=$6.00+$15.00=$21.00
Determine the measure∠d.
Answers
14°is the correct answer.
Please mark my answer as brainest and follow me to get the answer faster
Answer:
∡d = 83°
Step-by-step explanation:
∡d is 180 - 97 = 83°
∡d and the 97° angle are supplementary, meaning their sum is 180 degrees
Write 5×100+9×1+3×1/100+7×1/1000 in standard form
Answers
Answer:
512.017
Step-by-step explanation:
Just multiply all the numbers and add them as you go along to make one number.
Kim kardashian weight lifts 150N. Her muscles use 100J of energy. Calculate the distance she moves her weight
Answers
Answer:
2/3 meters
Step-by-step explanation:
Work=Force*Distance
we can also say:
Distance=Work/Force
Distance=100j/150N
D=2/3 meters
The distance she moves her weight is 2/3 meters.
What is energy?Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.
Energy is a preserved resource according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.
Given, Kim Kardashian weight lifts 150N.
Her muscles use 100J of energy.
We know work = force×distance.
∴ 100 = 150×distance.
distance = 100/150.
distance = 2/3 meters.
learn more about force here :
https://brainly.com/question/13191643
#SPJ2
What is the solution of the system of equations?
PLS RESPOND ITS AN EMERGENCY
Answers
Answer:
D) (4, -6, -1)
Plzzzzzz help one more time
Answers
Non linear means not a straight line
72% of 25 students are interested in mathematics how many are not interested in mathematics by moderators.
Answers
Answer:
7 students
Step-by-step explanation:
72/100 × 25 students = 18
18 students are interested in mathematics
therefore, 25 - 18 = 7 students are not interested
PLZ HELP ASAP
Find the length of X
Answers
x = 5
explanation:
3 + 4.5 = 7.5 to get the side of the big triangle
set up a proportion
[tex]\frac{3}{7.5} =\frac{2}{x}[/tex]
3x=7.5(2)..........cross multiply
3x=15.................multiply
x=5.....................divide both sides by 3
Answer:
Step-by-step explanation:
[tex]\frac{3}{2} =\frac{7.5}{x} \\[/tex]
3x = 15
x = 5
I'm thinking of a number that is 24 hundred less than half of 860 tens. what is my number?
Answers
Answer:
the answer is 4276, hope this helps :)
860(10)/2 - (2400)
8600/2 -2400
4300- 2400
1900
What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C
Answers
Answer:
C = 25/9
Step-by-step explanation:
Consider the perfect square trinomial ...
(x -a)² = x² -2ax +a²
The constant (a²) is the square of half the x-coefficient.
For your trinomial, the square of half the x-coefficient is ...
C = ((-10/3)(1/2))² = (5/3)² = 25/9
Please help I've never been more confused
Answers
Step-by-step explanation:
2.
Two pairs of corresponding angles
i. angle C angle D
ii. angle G angle F
Two pairs of alternate angles
i. angle B angle D
ii. angle H angle F
Two pairs of interior angles
i. angle C angle H
ii. angle D angle E
HELPPPP PLS!! TY
Look at triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 1, 2, and C at ordered pair 4, 2.
What is the length of side AB of the triangle? (1 point)
Square root of 6
3
Square root of 18
6
Answers
Step-by-step explanation:
as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.
the drawn triangle is nothing else than that.
to calculate the length of a side in such a triangle we need to use Pythagoras :
c² = a² + b²
c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.
a and b are the legs of the triangle "enclosing" the 90 degree angle.
so, we have
AB² = AC² + BC²
AC and BC we know : the coordinate differences in x and y directions.
AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.
BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.
AB² = 3² + 3² = 9 + 9 = 18
AB = sqrt(18)
FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)
A man with a seven gallon bucket and a four gallon bucket goes to a well to get exactly five gallons of water. He has no container other than the buckets. How can he do it?
Answers
which letter has rotational symmetry?
I
J
K
L
Answers
k has a rotational symmetry
Which of the following equations have exactly one solution? Choose multiple choices.
Answers
Answer:
-5x+12=5x-5
12=5x+5x-5
12+5=10x
17=10x
17/10=×
Which of the following ordered pairs represent points that lie on a horizontal line?A.(−2, 3), (−5, 3)B.(2, 3), (−2, 4)C.(−2, 3), (−2, 4)D.(2, −3), (5, 3)
Answers
Answer:
(−2, 3), (−5, 3) lie on a horizontal line. The y value is 3 for both values of x. The line runs parallel to the x axis and 2 steps above.
Step-by-step explanation: