A town planner lays out the design for a park on a coordinate grid. The point (1, 1) represents a point 1 foot north and 1 foot east of the center of the park at (0, 0). On the design, a triangular path within the park has vertices at (-350, 200), (300, -400), and (160, 500). What is the length of the triangular path, rounded to the nearest tenth of a foot?
9514 1404 393
Answer:
2387.1 ft
Step-by-step explanation:
I find a spreadsheet to be a convenient tool for repeated calculations using the same formula. Here, the distance between two points is given by ...
d = √((x2 -x1)² +(y2 -y1)²)
For example, the distance between the first two points is ...
d = √((300 -(-350))² +(-400 -200)²) = √(422500 +360000) ≈ 884.59
Other distances are calculated the same way. The results are shown in the attached spreadsheet, which also adds them up.
The path length is 2387.1 feet.
5. Find the solutions of x^2 – X-30 = 0.
please show work on how to do it
Answer:
x=6, x= -5
Step-by-step explanation:
Factor the equation
x^2 - x - 30 = 0 ----> (x-6)(x+5)=0
Next find the solution by setting those in the paranthesis equal to zero.
x-6=0 ----> x= 6
x+5=0 ----> x= -5
Step-by-step explanation:
[tex] {x}^{2} - x - 30 = 0[/tex]
➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]
➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]
➡️ [tex](x + 5) \times (x - 6) = 0[/tex]
➡️ [tex]x + 5 = 0[/tex]
➡️ [tex]x - 6 = 0[/tex]
➡️ [tex]x = - 5[/tex]
➡️ [tex]x = 6[/tex]
➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]
What is the absolute value of 6.4?
Absolute value of 6.4 is 6.4 itself.
What is the number line?A horizontal line with evenly spaced numerical increments is called a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that if corresponds to, such as when graphing a point.
Since, Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
Thus, the absolute value of a positive number is always positive
Therefore, the Absolute value of 6.4 is 6.4.
Learn more about number line here:
https://brainly.com/question/28625166
#SPJ1
I will give brainliest !!
Answer:
a
Step-by-step explanation:
1 Write the decimal equivalent for 6 3 Choose the correct answer below. 1 A. 6= 6.34 3 1 OB. 6-6.333333 63 OC. 69 = 6.33 D. 65 - 6.3
Answer:
D
Step-by-step explanation:
The equation 6x + 5 = 5x + 11 +x-6 is true for all real numbers. Substitute a few real numbers for x to see that this is so and then try solving the equation. Describe
what happens.
Answer:
It will ALWAYS be true!
Step-by-step explanation:
Inputting any real or imaginary numbers such as i or e, (which are also known as complex numbers), and when put in the place of x will ALWAYS equal one another. You could put 1, 2, 3, etc. all the way up to infinity and still get the two equations equal to each other.
Hope this helped!
Find the length of the segment indicated.
.
9.6
10.2
<
Answer:
i think d or c.....i think it's correct because know just small...
456.483 in expanded form
BIG IDEAS MATH #18 Find the distance between the points J( – 8,0) and K(1,4). The exact distance between the two points is
I need help with this problem please
Answer:
38
Step-by-step explanation:
10 + 4 + 2 + 9 = 25
That's the stuff we're given.
Now the other sides.
10 - 2 = 8,
9 - 4 = 5,
25 + 8 + 5 = 38
Miguel Sebring took out a loan for $5,000 at 9.5% exact interest for 90 days. How much interest will Miguel pay?
Answer: Miguel will pay Rs 11,875.
Step-by-step explanation:
P = 5,000
R = 9.5%
T = 90 days
now changing time into years
360 days = 1 year
90 days = 1/360 * 90 = 1/4 years = 0.25 years
now
I = PTR/100
= (5,000*9.5*0.25)/100
= 11,875
If I ate 80 pieces of candy, how much candy would I have left if I ate 3/4 of the candy
Answer:
20
Step-by-step explanation:
Divide 80 by 4, get 20,
20 40 60 80
Step-by-step explanation:
[tex]thank \: you[/tex]
A table is on sale for $179.20, which is 72% less than the regular price. What is the regular price?
Answer:
640
Step-by-step explanation:
price ÷ 1 - percent (as decimal)
179.20÷(1-0.72) = 640
Answer: Regular price = $640
Step-by-step explanation:
Given information
New price = $179.20
Rate of discount in price = 72%
Given expression
Original Price = New Price / (1 - Rate of discount)
Substitute values into the expression
Original Price = 179.20 / (1 - 72%)
Simplify values in parentheses
Original Price = 179.20 / 0.28
Original Price = $640
Hope this helps!! :)
Please let me know if you have any questions
What is an equation of the line that passes through the points (-5, -8)(−5,−8) and (-4, -6)(−4,−6)?
Answer:
Step-by-step explanation:
General equation of a line is y= mx+b,
where m is the slope and b is the y- intercept
For points (-5, -8) and (-4, -6) the slope is
m= difference in y / difference in x
m = [-6 - (-8)] / [-4 - (- 5)] = (-6+8)/(-4+5) = 2/1 =2
Now we know that y= 2x+b , to find b substitute the coordinate (x, y) with coordinate (-4, -6) -you could pick the other point if you want will work because both points are on the line.
-6 = 2(-4) +b , multiply
-6 = -8 + b, add 8 to both sides
-6+8 =b , add
2 =b
The equation of the line that passes through the points (-5, -8) and (-4, -6) is
y= 2x+2
First of all, you will find the gradient. The formula for finding the gradient is y2-y1 /x2-x1. - 6--8/-4--5.If two negatives meet they change to positive. - 6+8/-4+5=2/1,therefore the gradient is 2,after that then you will find the equation of the line. The formula for finding the equation of the line is y-y1=m(x-x1). y-(-8)=m(x--5),y+8=2(x+5),y+8=2x+10,y=2x+2.
help me plz now plz help me asap
[tex]\\ \sf\longmapsto 0.49=\dfrac{49}{100}[/tex]
[tex]\\ \sf\longmapsto 0.093=\dfrac{93}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.021=\dfrac{21}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.103=\dfrac{103}{1000}[/tex]
Me ayudarias a resolver los problemas :c
Choose all that give a level of accuracy appropriate for situation.
The distance for a flight from Georgia to Texas to the nearest mile.
Measuring how long the large mouth bass you caught while fishing to the nearest foot.
The number of party favors needed for a birthday party by the whole number.
The volume of water in a water bottle to the nearest fluid Ounce.
The cost of new laptop plus tax calculated to the nearest tenth.
Using unit measurement concepts, it is found that the correct options are:
The distance for a flight from Georgia to Texas to the nearest mile.Measuring how long the large mouth bass you caught while fishing to the nearest foot. The number of party favors needed for a birthday party by the whole number.The cost of new laptop plus tax calculated to the nearest tenth.----------------------------------
When measurements are made, the unit used is a big consideration, to give accuracy to the measurement. For example, measuring a person's height is kilometres would not give an accurate representation.----------------------------------
In the first option, for distance between cities or states, miles is the most widely used metric, so this option is correct.In the second option, heights of mouth bass are usually measured in inches, which is easily converted to feet(dividing by 12), and thus, this option is correct.In the third option, for each person, there is usually a favor, thus, whole number is an accurate metric, and this option is correct.In the fourth option, volume of water is usually measured in liters, and fluid ounces are way smaller than liters, thus not giving an accurate representation.In the fifth option, costs of products, especially expensive products such as laptops, are rounded to the nearest tenth, and thus, this option is correct.A similar problem is given at https://brainly.com/question/16563559
3c = 2(c - 1)
How to write that as a verbal sentence
Answer:
3 times a value is equal to twice as much as it's predecessor.
4 and 1 over 4 divided by 1 and 7 over 8
Answer:
3 and 23 Over 32
Step-by-step explanation:
Done
.
.
.
.
.
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Solve the equation
X/24 = 19
Answer:
x = 456
Step-by-step explanation:
X/24 = 19
Multiply 24 by each side
X/24 * 24 = 19*24
x = 456
Find the distance of GF if G(9,1) and F (0,2)
Answer:
9.06 units
Step-by-step explanation:
The distance formula for points on a graph is basically the Pythagorean Theorem
√(x2 - x1)² + (y2 - y1)²
Plug in the values and you'll get √82, which equals about 9.05539, or 9.06
2.
It takes Troy 3 hours to mow his family's large lawn. With his little brother's help, he can
finish the job in only 2 hours. How long would it take the little brother to mow the entire
lawn alone ?
(A) 4 hr
(B) 5 hr
(C) 5.5 hr
(D) 6 hr
(E) 6.75 hr
Answer:
It takes four hours because the little bro is alone and only one lawn mower is used
Jorge Is there a 15% tip for the waitress. The cost, C, of his dinner is $45.50. Use the equation below to determine the total,t, of Jorge’s dinner plus the tip.
A. $728
B. $113.75
C. $52.33
D. $6.83
Answer:
Below
Step-by-step explanation:
To find the total cost of Jorge's dinner, all you need to do is multiply the cost of his dinner by 1.15 (the tip amount)
$45.50 x 1.15 = 52.325
= $52.33
Hope this helps!
You are taking flying lessons to get a private pilot's license. The cost of the introductory lesson is 5/8 the cost of each additional lesson, which is $80. You have a total of $375 to spend on the flying lessons. How many lessons can you afford? How much money will you have left?
ANSWER:
Step-by-Step:
Answer: 5 lessons with 5$ left over
Step-by-step explanation:
You can buy 5 lessons because 50 is 5/8 of 80, and 50 + 80 + 80 + 80 + 80 = 370
One airline carried 3,720 people on 31 flights between Portland and Los Angeles. If there were the same number on each flight, how many people were on each flight?
Please help ASAP!
Divide total people by total flights:
3720/31 = 120
There was 120 people on each flight
HELPPPPPPPPPPPPPPPPPPPPPPP
1. Dorothy was able to answer yes to 16/25 of the survey questions. What is 16/25
written as a decimal?
Answer:
16/25 as a decimal is 0.64
Step-by-step explanation:
Qualitative forecasting techniques should be applied in situations where time series data exists, but where conditions are expected to change.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Three angles of a triangle are the 4x or (4x-2) and (3x+6). Find x
Answer: x = 16
Step-by-step explanation:
4x + 4x-2 + 3x + 6 = 180 (being sum of triangle)
or, 11x + 4= 180
or, 11x = 176
so, x = 176/11
so, x = 16
For three collinear points. A between T and Q.
a. Draw a sketch.
b. Write the Segment Addition Postulate.
c. If AT = 10 in and AQ = 5 in, what is TQ?
Answer:
Write the segment addition postulate