Polygon LMNPQ is shown on the coordinate grid. What is the preempted of polygon LMNPQ
Answers
The question is incomplete. Here is the complete question.
Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?
A. [tex]2+12\sqrt{2}[/tex] units
B. [tex]7+2\sqrt{2}[/tex] units
C. [tex]10+4\sqrt{2}[/tex] units
D. [tex]12+2\sqrt{2}[/tex] units
E. [tex]12+4\sqrt{2}[/tex] units
Answer: E. [tex]12+4\sqrt{2}[/tex] units
Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.
The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.
Distance of two points is calculated as
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Segment MN:
Coordinates: M (2,4) and N (5,8)
[tex]d=\sqrt{(5-2)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment ML:
Coordinates: M (2,4) and L (4,2)
[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment NP:
Coordinates: N (5,8) and P (8,4)
[tex]d=\sqrt{(5-8)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment PQ:
Coordinates: P (8,4) and Q (6,2)
[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment LQ:
Coordinates: L (4,2) and Q (6,2)
[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]
d = 2
Calculating perimeter (P):
P = MN + ML + NP + PQ + LQ
P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]
P = [tex]12+4\sqrt{2}[/tex]
Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units
Related Questions
A grid has lines at 90-degreree angles. There are 12 lines in one direction and 9 lines in the other direction. Lines that are parallel are 11 inches apart. What is the least number of 12in by 12in floor tiles needed to cover all of the line intersections of the grid? The tiles do not have too touch each other.
Answers
Answer:
70
Step-by-step explanation:
Given that:
There are twelve (12) lines in a direction and another nine 9 lines in another direction.
If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.
i.e these 11 squares are 11 inches apart.
Hence, the length of their grid = 11 inches × 11 inches = 121 inches²
Thus, for 12 in by 12 in tiles; we will have:
= [tex]\dfrac {121}{12}[/tex]
= [tex]10 \dfrac{1}{12}[/tex]
This implies that there are 10 files with just [tex]\dfrac{1}{2}[/tex] inch gap in length.
Similarly, for 8 squares and 11 inches apart;
The width = 8 inches × 11 inches = 88 inches²
Thus; the 12 in tiles needed = [tex]\dfrac{88}{12}[/tex]
= [tex]7 \dfrac{1}{3}[/tex]
It signifies that there are 7 tiles with [tex]\dfrac{1}{3}[/tex] inch gap in width.
Thus, the least number of tiles required = 10 × 7 = 70
state if each pair of ratios forms a proportion 4/3 and 16/12 help me
Answers
Answer:
if you multiply 4/3 by 4/4 you get 4/16.
Step-by-step explanation:
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Tara and Edward each painted their bedrooms. They finished in the same amount of time, Even thought Edwards bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part if the basement?
Answers
Answer:Edward
Step-by-step explanation:
what is 7.42 divded by 1.75
Answers
Answer:
4.24
Step-by-step explanation:
the calculator says otherwise (but yea its 4.24
The two figures are similar. Identify the similar sides, and then write the similarity statement. Fill in each blank, then complete the sentence by explaining your reasoning.
• AB is similar to ____ because:
• AC is similar to ____ because:
• CB is similar to ____ because:
Step 2: Write the similarity statement.
Answers
Answer:
- AB is similar to YZ because all the sides from triangle ABC got multiplied by 3/4, and 40 times 3/4 = 30.
- AC is similar to YX because 50 times 3/4 = 37.5.
- CB is similar to XZ because 60 times 3/4 = 45.
hope this helps!
A pound of apples cost $1.35 a pound of cherries cost $3.62. How much will it cost to by 1.6 pounds of apples and 2.5 pounds of cherries?
Answers
Answer:
apples cost a total of 2.16
cherrys cost a total of 9.05
Step-by-step explanation:
1.35*1.6=2.16
3.62*2.5=9.05
Question Help
9
s shown by the formula F= C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer
X
Answers
Answer:
It will read the same at F = -40.
Step-by-step explanation:
The relation between fahrenheit and celsius is given by the following equation:
[tex]C = \frac{5(F-32)}{9}[/tex]
At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?
This is F for C = F. So
[tex]C = \frac{5(F-32)}{9}[/tex]
[tex]F = \frac{5(F-32)}{9}[/tex]
[tex]9F = 5F - 160[/tex]
[tex]4F = -160[/tex]
[tex]F = -\frac{160}{4}[/tex]
[tex]F = -40[/tex]
It will read the same at F = -40.
Select the correct answer from each drop-down menu.
Cameron is a member of a national gardening club. She asked 200 of her fellow members whether they use compost to fertilize their plants, and
45% responded favorably.
What is the 90% confidence interval for the true proportion of club members who use compost?
Answers
Answer:
0.45 and 0.5
Step-by-step explanation:
plato/edmentum
The 90% confidence interval for the true proportion of club members who use compost is given as (0.4, 0.507)
What is Confidence Interval?
This refers to the probability of a parameter falling across a set of values around the mean.
To find the 90% confidence interval,
Probability= 45%= 0.45
Level of significance= 90%
1-0.90
= 0.10
[tex]z\alpha /2 = z(0.1/2) = 0.05[/tex]
The value of 0.05
P0.05= 1.645
P ± 1.645 x [tex]\sqrt{P0-p/n}[/tex]
0.45 ± 1.645 * [tex]\sqrt{0.48 (1-0.45)/200}[/tex]
0.45 ± 1.645 * 0.035178
0.45 ± 0.0578
0.45 - 0.0578, 0.45 + 0.0578
(0.4, 0.507)
Read more about confidence intervals here:
https://brainly.com/question/15712887
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PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.
Answers
Answer:
Its oka linden
Step-by-step explanation:
Just cause
Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.
Answers
Answer:
648 inches
Step-by-step explanation:
12 + 6 = 18 yards
there are 36 inches in 1 yard
so there is 648 inches in 18 yards
Answer:
she has 18 yards of fabric all together
Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?
Answers
Answer:
y = -2*x² + 60*x
Step-by-step explanation:
The general form of a quadratic function is:
y = a*x² + b*x + c
We need to determine a ; b ; and c. For that we have three conditions therefore
Condition 1 at x = 12 $ each T-shirts kimmie sells 36 units, then she gets
12* 36 = 432 $ or y = 432 and
432 = a(12)² + 12*b + c or 432 = 144*a + 12*b + c
Second condition selling at 13 $ each T-shirt she sells 34 , then
13*34 = 442
442 = a(13)² + 13*b + c or 442 = 169*a + 13*b + c
And the third condition
11*38 = 418
418 = a* ( 121) + 11*b + c 418 = 121*a + 11*b + c
We have a three equation system
432 = 144*a + 12*b + c (1)
442 = 169*a + 13*b + c (2)
418 = 121*a + 11*b + c (3)
We need to solve it for a, b and c
Subtracting (2) - (1) 10 = 25*a + b and subtracting (2) - (3)
24 = 48*a + 2*b
Then b = 10 - 25*a and 24 = 48*a + 2*( 10 - 25*a )
24 = 48*a + 20 - 50*a
24 - 20 = -2*a
4 = - 2*a
a = - 2 and b = 10 - 25*( -2) b = 60
Finally c is: 432 = 144*a + 12*b + c
432 = 144* ( -2) + 12*60 + c
432 = - 288 + 720 + c
432 = 432 + c
c = 0
The quadratic function is:
y = -2*x² + 60*x
Jermaine and Monica will usually both run 4.5 miles each time they go running. This month, Jermaine ran an additional 27 miles. Which answer choice shows an expression that represents the total distance Jermaine and Monica ran this month if j = the number of times that Jermaine ran and m = the number of times that Monica ran?
Answers
Answer:
4.5 (j + m) + 27
Step-by-step explanation:
What is the area, in square feet, of the rectangle shown below?
Answers
Answer:
D
Step-by-step explanation:
= 34/5 × 19/4
= 646/20
= [tex]32 \frac{6}{20} [/tex]
The area of the given rectangle is [tex]32\frac{6}{20}[/tex] square feet
For better understanding check the calcualtion here .
Calcualtion :
Area of the rectangle is the space inside the given triangle .
Formula : Formula to find the area of the triangle is length times width
Length and width are given as mixed fractions
Lets convert mixed fractions into improper fractions
[tex]Length =6\frac{4}{5}=\frac{6 \cdot 5+4}{5}=\frac{34}{5} \\Width=4\frac{3}{4}=\frac{4 \cdot 4+3}{4}=\frac{19}{4}[/tex]
Now we find out the area
[tex]Area= length \cdot width \\Area=\frac{34}{5} \cdot \frac{19}{4} \\Area= \frac{646}{20}[/tex]
Now we divide the number and find out the quotient and remainder
[tex]Area= \frac{646}{4} \\Quotient = 32 \\remainder =6\\Area= 32\frac{6}{20}[/tex]
The area of the given rectangle is [tex]32\frac{6}{20}[/tex] square feet
Learn more information about 'Area of rectanlge ' here
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FOR 20 points
Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.
Answers
Answer:
one tin of cheese $23
one tin of caramel $27
Step-by-step explanation:
let 'x' = cost of cheese tin
let 'y' = cost of caramel tin
10x + 8y = 446
22x + 11y = 803
i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms
-110x - 88y = -4906
+ 176x + 88y = 6424
66x = 1518
x = 1518 / 66
x = 23
find 'y': 10(23) + 8y = 446
230 + 8y = 446
8y = 216
y = 27
The polygons
are similar. Find the value of x.
10
2x - 19
7
14
14
Answers
answer:
14 is two times greater than 7.
so,
10 is two times greater than 2x - 19
10 = 2(2x - 19)
10 = 4x - 38
48 = 4x
x = 12
-- please mark the brainliest and click the thanks button if correct :)
Which system of linear equations appears to have a solution of (3,0)?
Answers
Answer:
C
Step-by-step explanation:
Need help in math!!!!!!!!
Answers
Answer:
1.9x+2(1.5)>30
Step-by-step explanation:
1.9(15)+2(1.5)
28.5+3
31.5 dollars
therefore the equation is grater than 30 dollars
y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:
Answers
Answer: the initial number of water lily’s
Step-by-step explanation:
the value 1.106 represents the population increase rate
edge 2021
The value 3.915 represents the initial population of water lilies
Expoenential equationsThe standard exponential equation is given as y = ab^x
where;
a is the initial populationb is the rate (growth or decline)Given the exponential equation y = 3.915(1.106^x
On comparison, we can see that;
a = 3. 915
This shows that the value 3.915 represents the initial population of water lilies
Learn more on exponential equation here: https://brainly.com/question/2456547
please help i will give barinliest
Answers
Can someone Help me please ?
Answers
9514 1404 393
Answer:
1) c, f
2) a, e
3) b, d
Step-by-step explanation:
If you think about the units associated with a coordinate (feet, for example), then you may recognize the following
a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).
__
b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).
__
c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).
3 over x plus 6 over y
Answers
Answer:
[tex]\frac{3}{x}+\frac{6}{y}[/tex]
Quadrilateral GHJK is a rectangle.
Find the measure of angle 1, given that the measure of angle 4 is 54°. *
(1 Point)
54°
46°
126°
134°
Answers
Answer:
126 degrees
Step-by-step explanation:
The sum of adjacent side of the rectangle is 180 degrees
Hence <1 + <4 = 180 degrees
Given
<4 = 54 degrees
<1 = 180 - <4
<1 = 180 - 54
<1 = 126degrees
Hence the value of <1 is 126 degrees
An aircraft seam requires 20 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 16% of all seams need reworking, what is the probability that a rivet is defective
Answers
Answer:
probability that a rivet is defective is 0.00868
Step-by-step explanation:
given data
rivets = 20
all seam need reworking P = 16% = 0.16
solution
we consider here probability of a defective rivet = p
and 0.16 = P [Seam needs reworking) = P (at least one rivet in the seam is defective)
so that for non-defective = 1 - P [all the rivets are non-defective]
and that will be here as = 1 - P [rivet 1 is non-defective, rivet 2 is non-defective, rivet 3 is non-defective,...............,rivet 20 is non-defective]
= [tex]1 - (p})^{20}[/tex] ....................1
so
1-0.16 = [tex]1 - (p})^{20}[/tex]
0.84 = [tex]1 - (p})^{20}[/tex]
[tex]0.84^{\frac{1}{20}}[/tex] = 1 - p
solve it we get
p = 0.00868
so, probability that a rivet is defective is 0.00868
what is the answer? ;3
Answers
6/2*3
Now you calculate the expression
6/2*3
The answer is 9, therefore 9 is your answer
Simplify
(45x6y%) = (5x4y2
Answers
Answer:
0 would be your anwswer
Step-by-step explanation:
6n + 13 = 43
a
6
b
-5
c
5
d
-5
Answers
Answer:
C) n=5
Step-by-step explanation:
6n+13=43
6n+13-13=43-13
6n=30
6n/6=30/6
n=5
Answer:
Your answer is c
Step-by-step explanation:
Here you go mate
Step 1
6n+13=43 Equation/Question
Step 2
6n+13=43 Simplify
6n+13=43
Step 3
6n+13=43 Subtract 13 from sides
6n=30
Step 4
6n=30 Divide sides by 6
5
Answer
n=5
Hope this helps
An integer between -1.6 and -0.4
Answers
(20 character minimum)
The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.
Answers
Answer:
49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49
Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?
Answers
Answer:
$12.49
Step-by-step explanation:
cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98
cost of one purse = $24.98 ÷ 2 = $12.49
2+5xi-3y=14+3x-5yi.Find x and y
Answers
Question:
[tex]5x-3y=14[/tex]
[tex]3x-5y=2[/tex]
Find x and y
Answer:
[tex]x = 4[/tex]
[tex]y =2[/tex]
Step-by-step explanation:
Given
[tex]5x-3y=14[/tex] -- (1)
[tex]3x-5y=2[/tex] -- (2)
Required
Find x and y
We'll solve this using elimination method.
Multiply (1) by 3 and (2) by 5 to eliminate x
([tex]5x-3y=14[/tex]) * 3
([tex]3x-5y=2[/tex]) * 5
-------------------------------
[tex]15x - 9y = 42[/tex]
[tex]15x - 25y =10[/tex]
Subtract
[tex]15x - 9y = 42[/tex]
- ([tex]15x - 25y =10[/tex])
-----------------------
[tex]15x - 15x - 9y + 25y = 42 - 10[/tex]
[tex]- 9y + 25y = 42 - 10[/tex]
[tex]16y = 32[/tex]
Make y the subject
[tex]y = \frac{32}{16}[/tex]
[tex]y =2[/tex]
Substitute 2 for y in [tex]5x-3y=14[/tex]
[tex]5x - 3 * 2 = 14[/tex]
[tex]5x - 6 = 14[/tex]
Collect Like Terms
[tex]5x = 14+6[/tex]
[tex]5x = 20[/tex]
Make x the subject
[tex]x = \frac{20}{5}[/tex]
[tex]x = 4[/tex]
