Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Answers
Answer:
The perimeter of the figure is : 22.4 cm
The area of the figure is : 30.2 cm²
Step-by-step explanation:
From the diagram, the figure is a rectangle.
Use the coordinate points to find the lengths of each side.
Side length AD = side length BC
Apply the Pythagoras relationship to find length BC as;
a² + b²= c² where a=2 cm and b = 4 cm and c =BC
2² + 4² = c²
4+16 = c²
20 = c²
c= √20 = 4.4721
Length BC = Length AD = 4.5 cm
Side length AB = Side length DC
Apply the Pythagoras relationship to find length DC as;
a² + b²= c² where a=6 cm and b = 3 cm and c =DC
6² + 3² =c²
36 + 9 = c²
45 = c²
√45 = c
c= 6.7082
c = DC = 6.7 cm
Now you have measurements of the rectangle as;
Length = 6.7 cm and width = 4.5 cm
The perimeter will be ;
P= 2{l +w} --------- where l is length and w is width and P is perimeter of the rectangle
P=2{6.7 + 4.5}
P=2{11.2}
P= 22.4 cm
The area will be ;
A= l*w
A= 6.7 * 4.5 = 30.15 = 30.2 cm²
The perimeter of the figure is : 22.4 cm
The area of the figure is : 30.2 cm²
Answer:
its wrong
Step-by-step explanation:
Related Questions
the figure below consists of a rectangle and an equilateral triangle. What is the perimeter of the figure?
Answers
Answer: 28 in.
Step-by-step explanation:
The perimeter is the total distance around the entire figure. Because all the lengths of the sides are already given, you just have to add them all up.
P = 4 in. + 8 in. + 8 in. + 4 in. + 4 in. = 28 in.
Answer:
B
Step-by-step explanation:
edge 2021
What is the slope of the line on the graph
ОА. 5/9
OB. 5/7
OC. 7/5
OD. 9/7
Answers
125ml= how many cenimeters?
Answers
Answer:
150
Step-by-step explanation:
multiply the volume by 1
Answer:
12,500 cm
Step-by-step explanation:
ml × 100 = cm125 × 100 = 12,500I hope this helps!
Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households in the region spend in restaurants annually. The employees are looking at how the amount spent annually in restaurants by households led by people ages 25 to 34 compares to households led by people ages 45 to 54. To conduct the research, the employees randomly select 12 households in the region led by people ages 25 to 34 and 12 households in the region led by people ages 45 to 54. Each household is asked how much was spent in restaurants during the previous 12 months. The amounts spent for each household, in dollars, are provided in the samples below. One household in each group spent $1,851 in restaurants during the previous 12 months. Calculate the z-score for the household that spent $1,851 for each group. Use a TI-83, TI-83 plus, and TI-84 calculator.
Round your answers to two decimal places.
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Answers
Answer:
The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
Step-by-step explanation:
The data provided is as follows:
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Compute the mean and standard deviation for the group "25 to 34" as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01[/tex]
Compute the z-score for the group "25 to 34" as follows:
[tex]z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37[/tex]
Compute the mean and standard deviation for the group "45 to 54" as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39[/tex]
Compute the z-score for the group "45 to 54" as follows:
[tex]z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25[/tex]
Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
jana is a graphic designer. She created a poster for her friend’s movie on an 8.5 inches by 11 inches sheet of paper. Her friend’s movie has gotten a lot of publicity, and they want to put Jana’s poster on a billboard that is 12 feet wide and 16 feet high. How can they blow up the poster as much as possible while maintaining the ratio of the sides? a) Determine the length and width of the largest possible poster. b) What is the scale?
Answers
2+2 I really need help with this I have been having a lot of trouble and I am failing math.
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Skyler solved an equation incorrectly, as shown below:
Step 1: 12 + x = 36
Step 2: x = 36 + 12
Step 3: x = 24
Which statement best explains why Step 2 is incorrect in Skyler's solution?
Answers
Answer:
Step 2 is incorrect.
Step-by-step explanation:
It's incorrect because I'm pretty you need to do inverse operation. To get 24 you must subtract, not add.
In an aquarium, there are 6 large fish and 8 small fish. Half of the small fish are red.
One fish is selected at random. Find the probability that it is a small, red fish.
Write your answer as a fraction.
Answers
Answer:
Step-by-step explanation:
j fnrbr
Answer:
4/14
Step-by-step explanation:
1/2 of the small fish(8)are red so 4 small red fish out of 8 small fish, then you add the big fish to the denominator(bottom of fraction) and you get 4/14
if the slope of ac 6 what is the slope of bc
Answers
Slope of BC=-1/6
Explanation:
What we know:
- the slope of AC is 6
- BC is perpendicular to AC
We know what BC is perpendicular to AC because they meet at a right angle.
To solve this question, we must understand that the slope of a second line perpendicular to the first is equal to the NEGATIVE RECIPROCAL of the slope of the first line.
For example, the slope of line A=8. The slope of the line perpendicular to line A would be -1/8.
Another example: the slope of line B=-6/7. The slope of a line perpendicular to line B would be 7/6. Remember, two negatives make a positive.
And that brings us back to line BC. Because the slope of line AC is 6, the slope of line BC would be -1/6.
I hope this helps! Please comment if you have any questions.
Use the system of equations and graphs below to complete the sentence.
Answers
Answer:
id say graph d solve it out and thats the only thing i got close to
Step-by-step explanation:
Answer:
it's the one in the top right(graph B), the soultion to graph b is (3,-1)
Step-by-step explanation:
Like the other answer says you solve it out, then you look at the intercepts and use the prosses of elimanation.
the top equation is: y= -1/2x -2.5
the bottom equation is: y= -1/5x -0.4
The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test‑takers is 550 with a standard deviation of 120. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation σ=120. The null and alternative hypotheses are H0:µ=550 versus Ha:µ<550.
Required:
State the null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines.
Answers
Answer:
H₀: μ = 550 vs. Hₐ: μ < 550.
Step-by-step explanation:
A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.
The mean sore for all test‑takers is μ = 550 with a standard deviation of σ = 120.
A random sample of n = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.
The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:
H₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. μ = 550.
Hₐ: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. μ < 550.
I and m are parallel to each other
Answers
3+ a equals 17 when a equals four is this given value a solution of the equation or an quality?
Answers
mnbvcxAnswer:
Step-by-step explanation:dfghjmjnhgf
Help with question 36 please I need it ASAP
Answers
Answer:
13 hours, 33 minutes, 20 seconds
Step-by-step explanation:
The swimming pool will hold 1.22 million cubic inches of water, and if it fills up at 1500 cubic inches per minute, it will take 813 minutes and 20 seconds to fill the pool, which means that in simplest form, that will be 13 hours, 33 minutes, and 20 seconds.
Hopefully the answer and explanation helps!
help me on it pls thanks
Answers
5,000/400=12.5
12.5 would be your answer but you can’t have half of a water station, so in between 12 & 13 . hope this helped a little bit
describe the translation from the red figure to the blue figure
Answers
Answer:
Step-by-step explanation:
From the figure attached,
Coordinates of point A → (2, 3)
Coordinates of point A' → (-3, 1)
Figure shows the translation of point A to point A'.
Relation → A(2, 3) → A'(-3, 1)
→ A'[(2 - 5), (3 - 2)]
Therefore, rule followed for the translation was,
(x, y) → [(x- 5), (y - 2)]
Quadrilateral in red has been shifted by 5 units left and 2 units down to form the image quadrilateral in blue.
Answer:
The quadrilateral in red has been shifted by 5 units left and 2 units down to form the image quadrilateral in blue.
Step-by-step explanation:
A parking garage charges $8 for the first two hours and $1.75 for each additional hour. The function for the cost of parking in the garage for 2 hours or more is f(x) = 8 + 1.75(x – 2) , where x is the number of total hours parked in the garage. Find and interpret f(7) .
Answers
Answer:
I believe it would be 16.75 but ik not completely sure
The meaning of f(7) is that a vehicle is parked for 7 hours, and the cost of parking for 7 hours will be $16.75.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function for the cost of parking in the garage for 2 hours or more is f(x)=8+1.75(x–2), where x is the number of total hours parked in the garage.
Now, the meaning of f(7) is that a vehicle is parked for 7 hours in the parking garage. And its value can be found by substituting the value of x as 7 in the given function,
f(x) = 8 + 1.75(x – 2)
f(7) = 8 + 1.75(7 – 2)
= 8 + 1.75(5)
= 8 + 8.75
= 16.75
Hence, the meaning of f(7) is that a vehicle is parked for 7 hours, and the cost of parking for 7 hours will be $16.75.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
Solve the equation p=2q + 2w for q.
Answers
Answer:
q = 1 /2 p − w
Step-by-step explanation:
Josh wants to determine the number of loaves of bread he can bake using 13 1/3 cups of flour he has. If each loaf requires 3 4/5 cups of flour, how many loaves can josh bake?
Answers
Answer:
4 loaves of bread.....
Sorry if i get it wrong i really tried :(
If it get it right comment down below please! I really want to know!
The most a baker can spend on strawberries is $95.00. Strawberries cost $3.99 per pound, and the produce supplier charges a $15.20 delivery fee. The following inequality, where s stands for the number of pounds of strawberries, represents this situation:
Answers
Answer:
3.99s + 15.20 = 95.00
Step-by-step explanation:
you would put 's' next to the 3.99 because that's what your multiplying or having more than 1 of, then you would add the 15.20 because it's just a one time delivery fee.
Answer:
The answer is 20
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: s≥20
Interval Notation: [20,∞)
Steve drew line segments CDEF, GHI, ADH, and BEH as shown in the
diagram below. Scalene ADEH is formed.
If segment CDEF is parallel to segment GHI, which statement is true? *
Answers
Answer:
BEF=IHEStep-by-step explanation:
ADE=DHG
FEH=IHE
ADE=DHE
ADC=EHI
BEF=IHE <This would be the correct answer if segment CDEF is parallel to segment GHI.
Which equation has the correct sign on the product?
O A. (-11)9 = 99
B. (-12)(-12) = 144
C. 25(-5) = 125
D. 17.3 = -51
Answers
Answer:
B. (-12)(-12)=144 Hope that helps
Step-by-step explanation:
A line passes through -1,-1and .-3,5
What is the equation of the line in slope-intercept form?
Answers
Answer:
y=-3x - 4
Step-by-step explanation:
y2 -y1 = 5- -1 =-4
x2 -x1=-3 - -1=-2
slope is -3
A study reported that about half of young adults continue to text and drive, despite the dangers. To find out if this
applies to teens, you asked an SRS of 30 classmates if they texted while driving, and 13 responded "Yes."
To see if this result is surprising, you need to conduct a simulation to estimate the probability of obtaining a sample
result as low as yours.
Using the following line of random numbers, where even = Yes and odd = No, how many "Yes" responses are there if
this is the first trial of your simulation? Note: O is considered an even number.
71487 09984 29077 14863 61683 47052 62224 51025
0 11
0 14
16
0 19
Answers
Answer:16
Step-by-step explanation:
I just took this test on edgueinity
Answer:
b
Step-by-step explanation:
Ava 2022
Bit transmission errors between computers sometimes occur, where one computer sends a 0 but the other computer receives a 1 (or vice versa). Because of this, the computer sending a message repeats each bit three times, so a 0 is sent as 000 and a 1 as 111. The receiving computer "decodes" each triplet by majority rule: whichever number, 0 or 1, appears more often in a triplet is declared to be the intended bit. For example, both 000 and 100 are decoded as 0, while 101 and 011 are decoded as 1. Suppose that 6% of bits are switched (0 to 1, or 1 to 0) during transmission between two particular computers, and that these errors occur independently during transmission.(a) Find the probability that a triplet is decoded incorrectly by the receiving computer.(b) Using your answer to part (a), explain how using triplets reduces communication errors.(c) How does your answer to part (a) change if each bit is repeated five times (instead of three)?(d) Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?
Answers
Answer:
(a) Probability that a triplet is decoded incorrectly by the receiving computer. = 0.010
(b)
(1 – p) = 0.010
(c)
E(x) = 25000 x 0.010
= 259.2
Explanation has given below.
Step-by-step explanation:
Solution:
(a) Probability that a triplet is decoded.
2 out of three
P = 0.94, n = 3
m= no of correct bits
m bit (3, 0.94)
At p(m≤1) = B (1; 3, 0.94)
= 0.010
(b) Using your answer to part (a),
(1 – p) = 0.010
Error for 1 bit transmission error.
(c) How does your answer to part (a) change if each bit is repeated five times (instead of three?
P( m ≤ 2 )
L = Bit (5, 0.94)
= B (2; 5, 0.94)
= 0.002
(d) Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?
Given:
h = 25000
Bits are switched during transmission between two computers = 6% = 0.06
m = Bit (25000, 0.06)
E(m) = np
= 25000 x 0.06
= 1500
m = Bit (25000, 0.01)
E(m) = 25000 x 0.010
= 259.2
Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and the sped of the other is 68 km/h.
a:
How many minutes after the two cars start traveling will one car lap the other?
Answers
Answer:
200 minutes
Step-by-step explanation:
you first take the diffrence between 92 and 68, which is 12 and divide 80 by 12 which gets you 3 1/3 of an hour convert that to minutes which is 200 minutes
Answer:
200 minutes
Step-by-step explanation: plz?
which best describes the triangele
Answers
Answer:
3 sided closed shape
Step-by-step explanation:
Evaluate the expression 5x4+2x6
Answers
Answer:
The answer to this is: 132
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Hope this helps!!
The two equations are equivalent. What was don to the first equation to get the second equation? 7x - 42 = 63 and x - 6 = 9
Answers
Answer:
x=15
Step-by-step explanation:
7x-42=63 add 42 to both sides
7x=105 divide by 7 on both sides
x=15
pull in 15 for x
Or you could of added 6 and 9 to find x
Is 1-12 true or false
Answers
Answer:Is the 1+2+3+4+… = -1/12 proof done by Numberphile correct?
What is the sum of all natural numbers?
What are practical applications of the fact that 1+2+3+4+5+…=−112 ?
What's the intuition behind the equation 1+2+3+⋯=−112 ?
Step-by-step explanation: I THINK IT IS RIGHT HOPE IT HELPS