Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth
The perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2) is approximately 14.47 units when rounded to the nearest hundredth.
To find the perimeter of the polygon with vertices X(-1,3), Y(3,0), and Z(-1,-2), you first need to calculate the length of each side of the triangle formed by these points. You can do this by using the distance formula:
[tex]d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
For side XY:
d(XY) = [tex]\sqrt(3 - (-1))^2 + (0 - 3)^2}[/tex]
[tex]\sqrt{{16 + 9}[/tex]
[tex]\sqrt{{25}[/tex]
= 5
For side YZ:
[tex]d(YZ) = \sqrt{((-1) - 3)^2 + (-2 - 0)^2}[/tex]
[tex]\sqrt{{16 + 4}[/tex]
[tex]\sqrt{{20}[/tex]
= 4.47
For side ZX:
[tex]d(ZX) = \sqrt((-1) - (-1))^2 + (3 - (-2))^2}[/tex]
[tex]= \sqrt{0 + 25}[/tex]
= 5
Now, sum the lengths of the sides to get the perimeter:
Perimeter
= d(XY) + d(YZ) + d(ZX)
= 5 + 4.47 + 5
= 14.47
So, the perimeter of the polygon is approximately 14.47 units, rounded to the nearest hundredth.
can someone help me i need help
David and his two friends
What is the rule for this sequence 6, 18, 54, 162, 486
What is 90% of 4732000?
90% = 0.90
4732000 x 0.90 = 4,258,800
Two integers, a and b, have a product of 24. What is the least possible sum of a and b?
The least possible sum of a and b is
What's 3.555 rounded to the nearest tenth
A yard is equal in length to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in feet (as output). What number will the function return if the input is 15.4?
Answer:
This may be perfectly expressed in a Rule of Three as:
If 1 yard is equal to 3 feet
15.4 yards are equal to x feet
1 yard-----3feet
15.4 yards------x
Then:
[tex]x=\frac{(15.4 yards)(3 feet)}{1 yard}[/tex]
[tex]x=46.2 feet[/tex]
Therefore the answer is 46.2 feet
Can someone please help me answer these questions in scientific notation?)
1. (5.2 x 10⁻³) - (2.58 x 10⁻³)
2 (3.6 x 10⁻²) + (4.0 x 10⁻¹)
3. (8.32 x 10⁻³) - (5.9 x 10⁻⁴)
4. (6.03 x 10⁻²) - (3.8 x 10⁻³)
Help me please.Questions are below.I know there's a lot of questions but I need help.
I'll give 35 points.
1.Write an algebraic expression for each word expression:
6 more than a number p
2.Solve: a/8 = 13 a = _____
3.Solve: 96 = 12b b = _____
4. Solve: c/9 = 2.3 c = _____
5. Solve: 5.2 = d/6 d = _____
6.Solve: 0.74h = 0.74 h = _____
7. Solve: k/0.38 = 1 k = _____
8.Solve: 27.4n = 0 n = _____
9. Solve: 0.4w = 3.12 w = _____
10. Solve: a/4.2 = 0 a = _____
1. p+6
2.a =13*8 = 104
3.b = 96/12 = 8
4.c= 2.3*9 = 20.7
5.d = 5.2*6 =31.2
6. h = 0.74/0.74 = 1
7. k = 0.38*1 = 0.38
8. n = 0
9. w = 3.12/4 = 7.8
10. a = 0
A) Graph the following two lines on the same rectangular coordinate system. Show all your working. You need to use the slope-intercept method.
Graph A: 3x+2y=12 Graph B: 4x-y=5
B) Mark the point intersection of the two graphs M, and give coordinates.
C) What is the difference in units between the Y-coordinates of Graph A and Y-coordinates of Graph B?
E) Draw the graph x-=6 on the same set of axes. At which point does this line cut Graph A?
what percent of 50 is 18
(7-2•2+7)•2•2 plz show work
The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 7 unit and width fraction 1 over 2 unit?
Answer:
perimeter of rectangle is 9/7 units.
Step-by-step explanation:
The perimeter of a rectangle is given by
Perimeter = 2(length + width)
Given that
[tex]length=\frac{1}{7}\\\\width=\frac{1}{2}[/tex]
Substituting these values in the above formula
[tex]P=2(\frac{1}{7}+\frac{1}{2})[/tex]
Add the fractions. The LCD is 14. So, multiply and divide by 14
[tex]P=\frac{2}{14}(\frac{1}{7}\times14+\frac{1}{2}\times14)\\\\P=\frac{1}{7}(2+7)\\\\P=\frac{9}{7}[/tex]
Thus, perimeter of rectangle is 9/7 units.
What three factors were used to create this product game board
The assembly of a machine takes 3/4 hour there are 12 steps in the assembly process what is the average time for each step
The average time for each step in the assembly process is 3.75 minutes per step.
Explanation:To find the average time for each step in the assembly process, we need to divide the total time taken by the number of steps. In this case, the assembly takes 3/4 hour, which is equivalent to 45 minutes. There are 12 steps in the process. So, to find the average time per step, we divide 45 minutes by 12:
Average time per step = 45 minutes / 12 = 3.75 minutes per step.
How would I solve this equation for x? x/p + x/q = S
lizette has 813 stamps she has 125 more stamps than Minerva how many stamps does Minerva have
k/4 = 3/8 solve for k.
Answer:
The answer is 1.5
Step-by-step explanation:
Help again please. Someone
54 over 4 as a mixed number
Lena was playing a card game. She placed the cards in 2 rows of of 26 cards each. In which other way can Lena place all of the cards?
1- 15 rows of 4 cards each
2-13 rows of 4 cards each
3- 18 rows of 3 cards each
4- 16 rows of 3 cards each
Thank you
Another way in which the cards Can be placed is 13 rows of 4 cards each.
The total Number of playing cards in a deck = 52
In other to place equal number of cards in a number of rows;
The product of the Number of cards per row and the number of rows must be equal to 52.Evaluating the options given :
15 × 4 = 60 (False)
13 × 4 = 52 (True)
18 × 3 = 54 (False)
16 × 3 = 48 (False)
Hence, the other way in which the cards Can be placed is 13 rows of 4 cards each.
Learn more : https://brainly.com/question/18109354
If the amount of flour were increased by a factor of 2 1/2, in cups, how much flour would there be?
2/3 is the originonal fraction for w suger
1. 2 1/2
2. 2 1/4
3. 5 5/8
4. 5 1/4
Divide.
(-13r2+104r)÷(r–8)
Kendall knows that a 45-ounce pitcher can hold enough lemonade for 6 people. At this rate, how many ounces of lemonade will Kendall need to serve 26 people?
Answer the three questions please
Question (1)
When the divisor is a decimal, what must we do?
1) Multiply the divisor by 10, or 100, or 1000, etc., according to the number of decimal digits, so that it becomes a whole number.
2)Multiply the dividend by the same power of 10.
Question (2)
When asked to add or subtract decimals, the most important step is to line up the decimal points. Step 1: Line up the decimal points so that similar place values are lined up. In other words, the tens place in both numbers should be lined up, the ones place in both numbers should be lined up, etc.
Question (3)
To multiply decimals: Set up and multiply the numbers as you do with whole numbers. Count the total number of decimal places in both of the factors. Place the decimal point in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.
The height of an airplane during a landing is given by 22,000+(−480t) where t is the time in minutes.
a. Complete the table.
Time (minutes) 5 10 15 20
------------------------------------------------------
Height (feet)
Please help!
Write a division problem that has a 3-digit dividend and a divisor between 10 and 20. Show how to solve it by drawing a quick picture.
Answer:
In the division problem,
The number which is divided is called dividend,
While, the number which divides, is called divisor,
Let dividend = 150 ( a three digit number ),
Divisor = 15 ( a number between 10 and 12 ),
So, the problem would be,
[tex]150\div 15[/tex]
In the below figure,
Take a grid that shows 150,
Divide this grid such that each box represents 15,
Thus, there are such 10 boxes,
That is,
[tex]150\div 15 = 10[/tex]
One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours. If both pumps are opened at the same time, how many hours will it take to fill the pool?
Answer: It will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.
Step-by-step explanation:
Since we have given that
Number of hours first pump takes = 8 hours
Number of hours second pump takes = 10 hours
If both pumps are opened at the same time,
Work done by first pump = [tex]\dfrac{1}{8}[/tex]
Work done by second pump = [tex]\dfrac{1}{10}[/tex]
According to question,we get that
[tex]\dfrac{1}{8}+\dfrac{1}{10}\\\\=\dfrac{5+4}{40}\\\\=\dfrac{9}{40}[/tex]
So, it will take [tex]\dfrac{40}{9}=4\dfrac{4}{9}[/tex] hours to fill the pool.
What's the difference of 9(2k-4) and -2(7k-12)