Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used
Answers
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
Related Questions
can anyone help me with this please marking brainly :)
Answers
Answer:
I can answer Part B since I can't explain Part A in words.
Step-by-step explanation:
Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)
Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)
Angle 4 = 81 degrees (I also don't know how to explain this.)
Every month, $45 is withdrawn from tom's savings account to pay his gym membership. He has enough savings to withdraw no more than $360. For how many months can Tom pay for his gym membership?
Answers
Answer: 8 months.
Step-by-step explanation: Assuming his budget for the gym membership is $360, by dividing 360 (His budget) by the monthly cost of 45, it should leave a quotient of 8. Thus meaning he can pay for 8 months worth of gym membership.
Answer:
8 mounths
Step-by-step explanation:
Since he has $360 saved and he has to pay $45 for each month that means that in order to find out for how many months Tom can go to the jym we just have to divide 260 by 45 and so be get...
360 / 45 = 8
The sum of all the solutions of the equation (6x+k)(3x-11)=0 is 1. Find K
BRANLIEST PLUS 20 POINTS
Answers
Answer:
16
Step-by-step explanation:
6x+k = 0
x = -k/6
3x-11 = 0
x = 11/3
-k/6 + 11/3 = 1
k - 22 = -6
k = 16
The value of k is "8".
Find K:[tex](6x+k)(3x-11)=0\ \ is \ \ 1 \\\\K=?[/tex]
[tex]\to (6x+k)(3x-11)=0 \ \ is \ \ 1 \\\\\to (6x+k)=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ (3x-11)=0\\\\\to 6x=-k\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x=11\\\\\to x=-\frac{k}{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=\frac{11}{3}\\\\[/tex]
[tex]\to - \frac{k}{6}+ \frac{11}{3}=1\\\\\to \frac{-2k+ 22}{6}=1\\\\\to -2k+ 22=6\\\\\to -2k =6-22\\\\\to -2k =-16\\\\\to k=\frac{16}{2}\\\\\to k=8[/tex]
Therefore, the final value of k is "8".
Learn more about the find k here:
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When completely factored, 8x + 2y - 4
Answers
Answer:...
-4+8x+2xy
Step-by-step explanation:
I will give brainiest.
Answers
Answer:
the third one is the answer
find the height of the cylinder if the volume is 340, and the length is 3
Answers
Answer:
113
Step-by-step explanation:
divide the volume with the length
Which values from the set {2,4,6,8,10} make this inequality n + 5 > 10 true?
Answers
Answer:
6,8,and 10
Step-by-step explanation:
Answer:
6,8,and 10
Step-by-step explanation:
when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.
1. 2+5>10 = 7>10 FALSE
2. 4+5>10 = 9>10 FALSE
3. 6+5>10 =11>10 TRUE
4. 8+5>10 = 13>10 TRUE
5. 10+5>10 = 15>10 TRUE
The United States government wanted to determine what proportion of Americans approve of the current President so they conducted a survey of 2,000 randomly chosen Americans. Assume that the true proportion of Americans who approve of the president is 0.46. Determine what the mean and the standard deviation of the sampling distribution of the sample proportion would be. Round to 2 decimal places when necessary. The mean of the sampling distribution is .43 and the standard deviation of the sampling distribution is .05 .
Answers
Answer:
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
Step-by-step explanation:
We use the central limit theorem to solve this question:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.46, n = 2000[/tex]
So
Mean: [tex]\mu = p = 0.46[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively
Proportion and standard deviation
The formula for calculating the standard deviation for a sample proportion is given as:
[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]
p is the proportionn is the sample sizeNote that p = mean = 0.46
To get the standard deviation:
[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]
Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.
Learn more on sample proportion here https://brainly.com/question/22985943
Please answer quickly Thank You
Answers
Answer:
find and interpret the value of × so that t(×) = 114.
In the supply-and-demand schedule shown above, at the equilibrium price, the quantity supplied is _____ and the quantity demanded is _____. 0, 500 200, 200 400, 0
Answers
Answer:
200, 200
Step-by-step explanation:
What is the multiplicative rate of change of the
function?
Answers
Answer:
the multiplicative rate of change for the exponential change is 3
Step-by-step explanation:
undefined
defined; 7 x3
defined; 3 x 7
defined; 5 x 5
Joanie has 15 hair ribbons. She has 7 less hair ribbons than her friend, Sara. Which equation
can be used to determine the number of hair ribbons Sara has, s?
S-7 = 15
7 - S =15
7s = 15
S + 7 = 15
Answers
what is the quotient of 223, 692 divided by 42
Answers
Answer:
5,326
Step-by-step explanation:
Need help on question hurry
Answers
Answer: C
Step-by-step explanation: it is c trust me
how do i write the fraction 3/4 as a product of a whole number and a unit fraction
Answers
Answer:
3/1*1/4
Step-by-step explanation:
when you multiply 3/1 by 1/4
Answer:
3\4
Step-by-step explanation:
solve the following problem. round to one decimal place if necessary. if your answer is correct you will see an image appear on your screen
Answers
Answer:
theres no picture
Step-by-step explanation:
What are the dimensions of a 2x4x8
Answers
Answer: Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.
Step-by-step explanation:
If you are asking what they equal up too, your answer is 16
If this isn't, please correct me and I will give you a better answer
ACTON
Find the Percentage, Rate Of Base
1. What is 25% of 1258
Answer:________
2. 50 is what percent of 4502
Answer:________
3. 75 is 30% of what number?
Answer:________
Answers
Answer:
314.5
2252.5
250
Step-by-step explanation:
Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me i’ll give brainliest!)
Answers
You take $84, then multiply it by the square of 2, and then you divide it by 4.25 8ths, and then you take 8ths, and subtract it by 7.284, and you will get $29.7. Your welcome :)
The sum of three consecutive even integers is 486. find all three integers
Answers
160 and 162 and 164
Step-by-step explanation:
To find the three even integers, use the equation
x + (x + 2) + (x + 4) = 486
Then solve:
Add the common terms (the xs and numbers)
3x + 6 = 486
Subtract the 6 from both sides
3x = 480
Then divide
x = 160
So 160 + (160 + 2) + (160 + 4) = 486
160 + 162 + 164 = 486
So your three consecutive even integers are
What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?
Answers
Answer:
$549
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 3050 × 0.06 × 3 = 549
I = $ 549.00
The simple interest accumulated
on a principal of $ 3,050.00
at a rate of 6% per year
for 3 years is $ 549.00.
Answer:
I’m pretty sure 549
Step-by-step explanation:
Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}5x+y=3\\\\4x-7y=8\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 4x−7y=8 \begin{cases}5x+y=3\\\\x+8y=-5\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 x+8y=−5 1) How can we get System BBB from System AAA?
Answers
Answer:
First One is C and the second one is A
Step-by-step explanation:
I got it wrong then found out the answers
Systems of equations are collection of multiple equations
We can get system B from system A by: subtracting both equations in system A and by bringing the first equation of system A
The systems of equations are given as:
System A
5x + y = 3
4x - 7y = 8
System B
5x + y = 3
x + 8y= -5
Subtract 4x - 7y = 8 from 5x + y = 3
So, we have:
[tex]\mathbf{5x - 4x + y+7y = 3 - 8}[/tex]
[tex]\mathbf{x + 8y =- 5}[/tex]
This means that, we can get system B from system A by:
Subtracting both equations in system AAnd by rewriting the first equation of system ARead more about systems of equations at:
https://brainly.com/question/12895249
ANSWER ASAP PLEASE!! CORRECT ANSWER WILL GET BRAINLIEST!
Professor Duncan decided to use a curve to grade a recent test. The lowest score out of 100 was 35 and the highest score was 65. He used the function n(g)=1.2g+3, where n(g) is the curved test score and g is the original test score. Which is the range of the curved test scores?
A. 35 to 65
B. 42 to 78
C. 45 to 81
D. 46 to 82
Answers
Answer:
C
Step-by-step explanation:
Hope it helps!!
List all the factors.
48
Answers
Answer:
Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Answer:
1,2,3,4,6,8,12,16,24,48
Step-by-step explanation:
give me stuff thats equivalent to 2/10
plz
i dont know my mafs
Answers
a car is 180inches long. a truck is 75% longer then the car. how long is the truck?
Answers
Answer:
135 in.
Step-by-step explanation:
R the midpoint of overline OP and overline QR perpendicular to OP In the diagram below. 20 in. 26 in. Q Find the length of QR .
Answers
Answer:
24
Step-by-step explanation:
Each card in a set of cards has a different number from 1 to 12 written
on it. A student randomly chooses a card, records the number shown
on the card, and replaces the card. The table shows the results of the
student choosing a card 25 times.
Based on the data in the table, how
many of the next 125 cards the
student chooses could be expected
to have a number shown on the card
that is a multiple of 4?
Results
Answers
Answer: 35
Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome
Answer:
35
Step-by-step explanation:
got it right
Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.
Answers
Step-by-step explanation:
M=9.5 (16,292)
(y=mx+b)
292=9.5(16)+b
The linear equation m = 9.50 h + 140 represents the amount of money m that Mark has earned this summer after working h hours at the grocery store.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Mark takes a job at the local grocery store, earning $9.50 per hour.
After working 16 hours at the grocery store, he earned a total of $292.
As per the given question, we can see points (16, 292)
Here earning $9.50 per hour can represent a slope of a linear function
Thus, M = 9.5 (16, 292)
The standard linear equation is given by,
⇒ m = Mx+b ....(i)
Substitute the values in the above equation,
292 = 9.5(16) + b
b = 292 - 152
b = 140
Substitute the value b = 140 in the equation(i),
⇒ m = 9.50 h + 140
Thus, the linear equation m = 9.50 h + 140 represents the amount of money.
Learn more about the Linear equations here:
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Courtney walks 5 laps around 1/4 mile track. how far does she walk?
Answers
Answer:
1 1/4 miles
Step-by-step explanation: