What's the exact area and the exact perimeter of square EFGH shown in the coordinate plane?
Answers
Using the distance between two points to find the length of the side of the square, it is found that:
The area is of 50 square units.The perimeter is of [tex]20\sqrt{2}[/tex] units.Hence, option A is correct.The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this problem, the length of the side of the square can be found as the distance between points G and H, that is, the distance between (0,5) and (-5,0), hence:
[tex]l = \sqrt{(0 - (-5))^2 + (5 - 0)^2} = \sqrt{50} = \sqrt{2 \times 25} = 5\sqrt{2}[/tex]
The area of a square of side length l is given by:
[tex]A = l^2[/tex]
Hence:
[tex]A = (5\sqrt{2})^2 = 50[/tex]
The area is of 50 square units.
The perimeter of a square of side length l is given by:
[tex]P = 4l[/tex]
Hence:
[tex]P = 4(5\sqrt{2}) = 20\sqrt{2}[/tex]
The perimeter is of [tex]20\sqrt{2}[/tex] units.
You can learn more about distance between two points at https://brainly.com/question/18345417
Answer:
IT'S A
Step-by-step explanation:
Related Questions
At Skyrocket Amusement Park, 30% of the rides are roller coasters. There are a total of
18 roller coasters. How many rides are there at Skyrocket Amusement Park in all
Answers
Considering the value of the 100%
If 30% = 18 roller coasters
then 100% = 100 x 18/30
= 60 rides
Hence there are 60 rides in all
What number times 10 equals 30 tens
Answers
Answer:
30
Step-by-step explanation:
Because 30 tens = 300
30 x 10 = 300
Label each triangle
Answers
Answer: Top right and left are ACUTE, Bottom right is RIGHT, and bottom left is OBTUSE.
Answer:
the top two are acute triangles
the third(bottom left is an obtuse angle
and the last one(bottom right) is a right triangle
Step-by-step explanation:
the top angles are all under 90 degrees which is what makes them acute
the bottom left triangle has an angle greater than 90 which makes it obtuse
and the bottom right has a right angle, which makes it a right triangle
Angles a and B are supplementary if the measure of the angle a is 81 what is the measure of angle b
Answers
Answer: 99
Step-by-step explanation:
Supplementary angles add to 180 degrees, 180-81=99
Rashad has 24 almonds and 32 walnuts for making snack bags. He wants to make as many snack bags as possible and wants each bag to have the same amount of almonds and walnuts. What is the largest number of snack bags he could make?
Question 4 options:
3 bags
4 bags
8 bags
16 bags
Answers
Answer:
4 bags
Step-by-step explanation:
Answer:
3 bags
Step-by-step explanation:
each bag will have 8 almonds and 8 walnuts.
Divide. Write your answer in simplest form.
8/7÷4
Answers
Answer:
8/7 ÷ 4/1 = 7/32
Step-by-step explanation:
4/1 is the same as 4, flip all the Fractions so the bottom number is on the top and top on bottom and then multiply top x top and bottom x bottom
Hey there!
First, let's convert 4 into a fraction:
4=4/1
Now, divide the fractions:
[tex]\bold{\displaystyle\frac{8}{7} :\frac{4}{1}}[/tex]
Now, flop the second fraction over and multiply the first fraction times the second one:
[tex]\bold{\displaystyle\frac{8}{7} *\frac{1}{4}}[/tex]
Multiply the numerator (8) times the numerator of the second fraction (1) and multiply the denominator (7) times the denominator of the second fraction (4):
[tex]\bold{\displaystyle\frac{8}{28}}}[/tex]
Also, this fraction can be reduced:
[tex]\bold{\displaystyle\frac{4}{14}}[/tex]
We can divide by 2 again.
Hence, the answer is
[tex]\boxed{\boxed{\bold{\displaystyle\frac{2}{7}} }}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
:-)
#LearningDoesn'tEnd
[tex]\rule{200}{2}[/tex]
Dudley Durite deposited $350 into a savings account that earns 6.5% interest compounded semi annually. What amount was in his account at the end of 1 year?
Answers
Answer:
$373.12
Step-by-step explanation:
You want to set this up with the equation for compound interest which is [tex]A=P(1+\frac{r}{n})}^{nt}[/tex]. A stands for amount, P stands for principle which in this case is 350, r is rate which for this one is .065, ad n is the amount of times compounded per year, and since it is compounded semi annually you do 2 for 2 times a year. Your equation based on this information should look like this:
[tex]A=350(1+\frac{.065}{2})}^{(2)(1)}[/tex]
After working this out you get A = 373.12
$373.12
Which of the following r-values represents the strongest correlation?
Which of the following r-values represents the strongest correlation?
A. -0.51 B.-0.71 C. -0.41 D. -0.61
Answers
Answer:
-0.71
Step-by-step explanation:
Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation.
The r-value that represents the strongest correlation is -0.71.
What is correlation?Any of the many metrics used to describe the strength and direction of a linear relationship between two random variables is called a correlation coefficient.
So, r stands for the correlation coefficient.
Depending on the direction of the association, an r-value may be either negative or positive.
Yet, the link is greater the closer an r-value is to 1.
Here - 0.71 is closer to -1 then it is having a strongest correlation.
Learn more about correlation coefficient here:
brainly.com/question/27226153
#SPJ7
GUYS HELP ME WITH THIS WILL MARK BRANLIEST
Create a system of linear equations with no solution. In your final answer, include the system of equations and the graphs of the lines.
Answers
Answer:
A border of 3 cm width is printed on 500 sheets of paper, each of length 40 cm and width 30 cm fit costs 50p to print 100 cm of border, find the total cost of printing the border.
Where do humans and other animals get their food?
Answers
Answer:
Humans and other animals get their food from plants directly or indirectly. Humans and animals are heterotrophic organisms, so they obtain their food from other organisms.
Step-by-step explanation:
∧
Answer:
From plants and other animals
Step-by-step explanation:
Got it right on my quiz haha..
Points A, B, and C are on line AC.
A horizontal line has points A, B, C. A line extends from point B up and to the left to point D. Angle D B C is 140 degrees.
Angle CBD has a measure of 140°. What is the measure of angle ABD?
40°
50°
60°
70°
Answers
Answer:
50° Because considering the total angles is still half a line segment 50° is
Answer:
40 degrees A for me on EDG 2022
Step-by-step explanation:
June 21st
5055 X 550 + 32 - 99 + 43333 X 5 =
first right gits branlist
Answers
Answer:
the answer is 2996848
Step-by-step explanation:
Describe what happens if you divide a difference by 3.
Answers
Lizzie runs every 8 days and Wilson runs every 12 days. If they both ran together today, in how many days will they run together again?
Answers
Answer:
We have to find the LCM(least common multiple) of the two numbers.
24 is the LCM, because;
Multiples of 8 are -
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
Multiples of 12 are -
1 x 12 = 12
2 x 12 = 24
24 is their least common multiple.
Carmen bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $200 less than the desktop. She pald for the computers
using two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 7% per year. The total finance charges for one
year were $306. How much did each computer cost before finance charges?
Answers
converting % to decimals, 9% = 0.09 and 6% = 0.06
Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850
Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
plz help idk what to do :(
Answers
Answer:
x=5°
∠JIK=110°
Step-by-step explanation: From question,
20x-10+8x-20=140-6x
28x-30=140-6x
34x=170
x=170/34
x=5°
Eq. in ∠JIK,
140-30
=110°
2(3x-4)=3x+1
I just need help solving this-
Answers
Answer:
x=3
Step-by-step explanation:
simplify
6x−8=3x+1
subtract 3x
3x−8=1
add 8 to each side
3x=9
divide both sides by 3
x=3
3.
Billy has 20 pencils. Melissa gives Billy some shells.
Billy has 20 pencils. Now Billy has 36 shells. How many shells did Melissa
give him?
melissa give him?
Answers
Answer:
36. Melissa did not give Billy any pencils.
Answer:
Step-by-step explanation:
Melissa gave Billy 36 shells
What is the Square root of 3664?
Answers
Answer:
60.5
Thanks!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
Which sequence of steps is a correct derivation of the difference quotient for f(x) = ln(4 – x) – 1?
Answers
Answer:
Step-by-step explanation:
solution for .05n + .10d = .75
Answers
Answer:
d=−0.5n+7.5, n=−2d+15
Step-by-step explanation:
I chose the first one please help if its not correct. Simplify.
y+ (15+ y)
15 + 2 y
17 y
15 y
15+ y
Answers
Answer:
15+2y
Step-by-step explanation:
take y to the other side
Which statement is true about the prime polynomial 2x2 + 3x + 3?
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.
Answers
Answer:
A
Step-by-step explanation:
because problem make more sences
Answer:
A it cannot be modeled with a rectangle
Step-by-step explanation:
Please answer right ....
Answers
Answer:
[tex]2\frac{13}{120}[/tex]
Step-by-step explanation:
**Fractions for addition and/or subtraction need equal denominators
Alike denominators in parentheses
[tex]4\frac{2}{5} -(1\frac{2}{3}+\frac{5}{8})\\4\frac{2}{5} -(1\frac{2}{3}(\frac{8}{8}) +\frac{5}{8}(\frac{3}{3} ))\\4\frac{2}{5}-(1\frac{16}{24}+\frac{15}{24})\\4\frac{3}{5} -(1\frac{31}{24} )\\4\frac{3}{5} -(2\frac{7}{24} )[/tex]
[tex]4\frac{2}{5}-2\frac{7}{24}[/tex]
Solve
[tex]4\frac{2}{5}-2\frac{7}{24} \\4\frac{2}{5}(\frac{24}{24}) -2\frac{7}{24}(\frac{5}{5})\\4\frac{48}{120}-2\frac{35}{120}\\2\frac{13}{120}[/tex]
Please help!! I'm pretty sure it's A or D. I'm not sure which one though.
Answers
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution. Group of answer choices I would not be surprised because there are lots of lazy students in Iowa City. I would not be surprised because 3% is not that far away from 9%. I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage. I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!
Answers
Complete Question
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.
Group of answer choices
A I would not be surprised because there are lots of lazy students in Iowa City.
B I would not be surprised because 3% is not that far away from 9%.
C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.
D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The sample size is n = 120
The mean of the proportion is p = 0.09
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.09(1-0.09)}{120 } }[/tex]
=> [tex]\sigma = 0.02612[/tex]
Generally the chance that fewer than 3% of households in the sample recycle their garbage is mathematically represented as
[tex]P(X < 0.03) = P( \frac{X - p}{\sigma} < \frac{0.03 -0.09}{0.02612} )[/tex]
[tex]P(X < 0.03) = P( Z < -2.297 )[/tex]
From the z-table
[tex]P( Z < -2.297 ) = 0.01[/tex]
=> [tex]P(X < 0.03) = 0.01/tex]
=> [tex]P(X < 0.03) = 1\% /tex]
1 Josiah is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 12 in and the height of the pyramid is 14in. To get the wax for the candle, Josiah melts cubes of wax that are each 6 in by 6 in by 6 in. How many of the wax cubes will Josiah need in order to make the candle? Show your work.
Answers
Answer:
3.11 wax cubes
Step-by-step explanation:
question is attached thanks
Answers
Take two points
(0,0)(-2,-4)Slope:-
[tex]\\ \sf\longmapsto \dfrac{-4}{-2}=2[/tex]
Equation in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y=2x[/tex]
In slope intercept form
y=2x+0Answer:
Step-by-step explanation:
Line passes through origin (0, 0) so y-intercept is zero: b=0
At x=2, y=4 so slope is 4/2=2: m=2
Answer is y = 2x
Please help me with this
Answers
Answer:
Step-by-step explanation:
Both angles added together = 180 degrees. They both have a straight line as their base.
So let <ABC = x
Then <CBD = 3x Add the two angles
x + 3x = 180 Combine
4x = 180 Divide by 4
4x/4 = 180/4
x = 45
So 3x = 3*45 = 135
look at this equation and the steps used to solve it. Which answer is the best justification for step 1 of this solution
Answers
Answer:
equal quantities something...
Step-by-step explanation: