Find the perimeter of triangle ABC rounded to the nearest whole number. A (-1,4) B (2,2) and C (-2,-1)
Answers
\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{2}) ~\hfill AB=\sqrt{(~~ 2- (-1)~~)^2 + (~~ 2- 4~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 3)^2 + ( -2)^2}\implies \boxed{AB=\sqrt{13}} \\\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad C(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{(~~ -2- 2~~)^2 + (~~ -1- 2~~)^2}\)
\(~\hfill BC=\sqrt{( -4)^2 + ( -3)^2}\implies \boxed{BC=5} \\\\\\ C(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{4}) ~\hfill CA=\sqrt{(~~ -1- (-2)~~)^2 + (~~ 4- (-1)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( 1)^2 + (5)^2}\implies \boxed{CA=\sqrt{26}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Perimeter}{\sqrt{13}~~ + ~~5~~ + ~~\sqrt{26} ~~ \approx ~~ \text{\LARGE 14}}\)
Related Questions
Ann needs to memorize words on a vocabulary list for Spanish class. She has 16 words to memorize, and she is one-fourth done. How many words has Ann
memorized so far?
Answers
Answer:
Ann has memorized 4 words so far
Step-by-step explanation:
16/4 = 4 words
She has memorized 4 words so far.
You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed
Answers
Answer:
625 ft^2
Step-by-step explanation:
Given
\(P = 100\) --- perimeter
Required
The largest area
The perimeter is calculated as:
\(P = 2 * ( L + W)\)
So, we have:
\(2 * ( L + W) = 100\)
Divide both sides by 2
\(L + W = 50\)
Make L the subject
\(L = 50 - W\)
The area is calculated as:
\(A= L * W\)
Substitute \(L = 50 - W\)
\(A= (50 - W) * W\)
Open bracket
\(A = 50W - W^2\)
Differentiate with respect to W
\(A' = 50 -2W\)
Set to 0; to get the maximum value of W
\(50 - 2W = 0\)
Collect like terms
\(-2W = -50\)
Divide by -2
\(W = 25\)
So, the maximum area is:
\(A = 50W - W^2\)
\(A = 50 * 25 - 25^2\)
\(A = 1250 - 625\)
\(A = 625\)
Write your answer as a whole number and remainder.
19 + 7 =
R
Answers
What is 16 percent of 4?
Answers
Answer:
0.64
Step-by-step explanation:
% besically means out of 100 so:
16/100 times 4
64/100
0.64
Mr. Fisher rode his bike from point A to B, then to C, What distance did he travel?
Answers
Answer:
7m
Step-by-step explanation:
not sure if youre referring to that question! you didnt have a pic.
"Basically, from point A up to B is 4m and from B east to C is 3m."
80 units needed 6 units per case
Answers
Answer:
First time sending a shipment to Amazon Warehouse here.
I have a question in regards to filling information for my inventory.
I have a total of 20 BOXES ready to be sent. Each individual -BOX- contains 8 smaLL boxes inside. Each smaLL box contains 6 units.
Also, I should specify I’m sending 4 colors, same item. 4 -BOX- red, 4 -BOX- blue, 6 -BOX- steel, 6 -BOX- black. ( 20 BOXES total)
Would you fill it this way:
Review Shipment Contents:
Units Per Case — Number of Cases — Shipped
RED 48 — 4 — 192
BLUE 48 — 4 — 192
STEEL 48 — 6 — 288
BLACK 48 — 6 — 288
---TOTAL UNITS = 960
Shipping Service
SHIPMENT PACKING
ONE SKU PER BOX
SELECT PACK LIST FORMAT
File format Total # of boxes
20 ???
I’m counting Units Per Case as the total number of units in a BOX. And Number of Cases as the number of BOXES. Is this Right?
My confusion is differentiating BOXES and CASES.
I was also thinking about counting Each smaLL box as a Case (Units per Case =6 units) and Number of Cases would be “32”; 4 BOXES of one color , 32 CASES total.
I might be over complicating myself but really need your help on this one so I send the right information to Amazon.
PLEASE HELP FIRST ONE TO GET IT RIGHT GETS brainiest :oooo
Answers
A. x and y are both within the same solar system.
7.2 light years= 455336 AU
What is the value of this expression when a=9, b=-2, and c=25 ?
Answers
Answer:
√3 + 24/5 or 6.532
Step-by-step explanation:
I hope this helps.
the volume of a cube .4
Answers
Answer: The answer when finding volume is always a cubic measurement. The volume of a cube measuring 4 inches on all of its sides is 64 cubic inches.
Step-by-step explanation:1.
Find the length of one side of the cube. Often, in problems asking you to find the volume of a cube, you'll be given the length of one of a cube's sides. If ...
2.
Cube the length of the side. When you've found the length of one of the cube's sides 3.
Label your answer with cubic units.
Evaluate (27)−1/3(27)−1/3×[27^1/3−27^2/3]
Answers
Answer:
the answer is 96 hope this helpsStep-by-step explanation:
Answer:96 is da answer
1 + 1
I’ll mark brainliest if explanation included!!
Answers
Answer: 1+1=1
Step-by-step explanation: because just like in multiplication for infinity
1x1 will always equal one and if you flip the x sign it will be a plus sign so 1+1=1
I'm so smart :)
Kyle went to soccer lessons. He was charged $23.75 for one session. He gave the instructor a 15% tip. How much did Kyle
leave for a tip?
Answers
Answer:
$3.563
Step-by-step explanation:
First, I multipled 23.75 times the 15% tip, which you would get 356.250. Then, divide that by 100 to get 3.563. I hope this helps :)
4 yd
8.5 yd
What is are of the given shape
Answers
Answer: Knock Knock!
Step-by-step explanation: (Who's there?)
An empty corn silo in the shape of a cylinder is being filled with corn.
The silo is filled at a constant rate for a total of 1010 hours. The table shows the amount of corn, in cubic feet, in the silo at the given number of hours after filling started.
Enter the percent of the silo that is filled with corn at 10 hours.
Look at the photo bellow
Answers
To find the percent of the silo that is filled with corn at 10 hours, we need to look at the table in the photo and find the amount of corn in the silo at 10 hours, which is 2,000 cubic feet.
To calculate the percent of the silo that is filled, we need to divide the amount of corn in the silo at 10 hours by the total capacity of the silo. The total capacity of the silo is given by the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Since the silo is in the shape of a cylinder, we know that the radius is half the diameter, which is given as 20 feet. Therefore, the radius is 10 feet. The height of the silo is not given, so we cannot calculate the exact capacity of the silo.
However, we can estimate the capacity by looking at the amount of corn in the silo at the end of the filling period, which is 20,000 cubic feet. This means that the silo was filled with 20,000/1010 = 19.8 cubic feet of corn per hour on average.
If we assume that the silo was filled at this same rate for the entire 1010 hours, then we can estimate the capacity of the silo as 19.8 x 1010 = 19,998 cubic feet.
Using this estimate, we can calculate the percent of the silo that is filled with corn at 10 hours as follows:
Percent filled = (amount of corn at 10 hours / total capacity) x 100
= (2,000 / 19,998) x 100
= 10.00%
Therefore, the percent of the silo that is filled with corn at 10 hours is approximately 10.00%.
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Nothing but slope.................
Answers
Answer:
1. 1
2. 3
3. 4
Step-by-step explanation:
nilai dari x memenuhi pertidaksamaan [x-1]<2
Answers
Answer:
uh
Step-by-step explanation:
Solve each equation and be prepared to describe how you found the solution to each: 35 = 7x 35 = 11x 7x = 7.7 0.3x = 2.1 25 = 12x
Answers
Answer:
I have no clue but good luck
Step-by-step explanation:
Add 6z+2 and 7-4z
Show your work please
Answers
Answer:
2z+9
Step-by-step explanation:
(6z+2)+(7-4z)
Combine like term
6z-4z + 2+7
2z+9
can someone help me please?
Answers
Answer:
Gallons
Step-by-step explanation:
Since its a fish tank and in high diameter it would be used for a big measurement unit so the answer would be gallons.
Answer:
pounds
Step-by-step explanation:
she would need inches gallons and teapoons,in order to find the volume.
hope this helps.
I really need help on this one I
Answers
Answer:
60
Step-by-step explanation:
60
5)
260°
A) 56°
C) 48°
B) 50°
D) 60°
Answers
Answer:
game and the new season of inStep-by-step explanation:
join my phone and I'm not going away from your heart
Determine whether P'Q'R' is a translation image of PQR. Explain.
Answers
Answer:
you have studied
transformation
Step-by-step explanation:
the ratio of +90⁰ is the translation
How many solutions does the following system of linear equations have?
2x-3y = 4
4x - 6y = 8
Answers
The given system of linear equations; 2x-3y = 4, 4x - 6y = 8 has infinitely many solutions.
To determine the number of solutions the system of linear equations has, we can analyze the equations using the concept of linear dependence.
Let's rewrite the system of equations in standard form:
2x - 3y = 4 ...(1)
4x - 6y = 8 ...(2)
We can simplify equation (2) by dividing it by 2:
2x - 3y = 4 ...(1)
2x - 3y = 4 ...(2')
As we can see, equations (1) and (2') are identical. They represent the same line in the xy-plane. When two equations represent the same line, it means that they are linearly dependent.
Linearly dependent equations have an infinite number of solutions, as any point on the line represented by the equations satisfies both equations simultaneously.
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What is the range of the function 2x + y = 7
if the domain is {-4, -2,0, 5, 7)?
Answers
Answer| range: {15, 11, 7, -3, -7}
Step-by-step explanation:
Plug in the domain to find the range:
x = 4
2(-4) + y = 7
-8 + y = 7
y = 15
x = -2
2(-2) + y = 7
-4 + y = 7
y = 11
x = 0
2(0) + y = 7
0 + y = 7
y = 7
x = 5
2(5) + y = 7
10 + y = 7
y = -3
x = 7
2(7) + y = 7
14 + y = 7
y = -7
A town government has pylons that are in the shape of a square prism with a pyramid attached to one base. What is the surface area of a polygon, in square inches?
Answers
The surface area of a polygon will be 4LW + 2W² square units.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as
SA = 2(LW + WH + HL)
If the two sides of the rectangle become the same that is W = H. Then the surface area of the prism is given as,
SA = 2(LW + W × W + WL)
SA = 2(2LW + W²)
SA = 4LW + 2W²
The surface area of a polygon will be 4LW + 2W² square units.
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I need help please !
Answers
Answer:
Step-by-step explanation:
Remark
The lone dot on the graph that is between 8 and 9 thousand meters is Mount Everest. I think a good estimate is 8200 meters. Remember, this is just an estimate. You don't have to get it exactly right.
Question
How close is your estimate? When you look it up, Mt. Everest is given as 8849 meters, but don't use that number. They are looking for a number that is under 8500. Estimates are just that -- estimates.
Huey can wash 6 cars or mow 3 lawns in one hour. Dewey can wash 3 cars or mow 3 lawns in one hour. Louie can wash 3 cars or mow 6 lawns in one hour. They each work 8 hours per day. If two of them wash cars and one mows lawns then at most they can wash cars and mow lawns. Enter whole numbers.
Answers
At most, they can wash 96 cars and mow 96 lawns.
To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.
Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.
Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.
Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.
Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.
The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.
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in a random sample of 77 residents of the state of california, the mean waste recycled per person per day was 1.71.7 pounds with a standard deviation of 0.360.36 pounds. determine the 99�% confidence interval for the mean waste recycled per person per day for the population of california. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
Answers
The critical value to be used in constructing the 99% confidence interval is 2.576.
Step 1: Finding the Critical Value
To determine the critical value for constructing a 99% confidence interval, we need to refer to the z-table or use a statistical calculator. The critical value corresponds to the desired level of confidence and takes into account the sample size.
Since the sample size is large (n = 77) and the population is assumed to be approximately normal, we can use the z-distribution to find the critical value. For a 99% confidence interval, the critical value is found by subtracting half of the desired confidence level from 1 and dividing the result by 2.
In this case, the calculation would be:
(1 - 0.99) / 2 = 0.005
The corresponding critical value is then determined by finding the z-score that has an area of 0.005 in the upper tail of the standard normal distribution. Consulting a z-table or using a statistical calculator, the critical value is approximately 2.576 (rounded to three decimal places).
Therefore, the critical value to be used in constructing the 99% confidence interval is 2.576.
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given data 4,y,9,5,2,7 find y if the mode is 4
the mean is 5
the median is 6
Answers
Answer:
y = 3
Step-by-step explanation:
y , 2 , 4 , 5 , 7, 9
Mean = 5
\(\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3\)
Please help is important please
