On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer.
people don't fail me now
Answers
Answer:
27 cm²
Step-by-step explanation:
There are many ways the figure can be decomposed into parts for which you know the area formula. The total area is the sum of the parts.
__
decompositionWe recognize that each of the tabs is twice as long as wide, so is half a square. The 4 tabs together make 2 squares that are 3×3 cm. Of course, what remains after removing the tabs is a 3×3 cm square in the middle of the figure.
sum of partsThen the total area is that of 3 squares measuring 3 cm × 3 cm:
A = s² = (3 cm)² = 9 cm² . . . . . area of one square
total area = 3A = 3(9 cm²) = 27 cm²
The area of the figure is 27 cm².
_____
Alternate solution
The figure can also be considered to be a 6 cm × 6 cm square with four 1.5 cm × 1.5 cm squares removed from its corners. Then the area is ...
(6 cm)² -4(1.5 cm)² = (36 -4(2.25)) cm² = 27 cm²
Related Questions
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
Answers
Answer:
1/6 or 16.67
Step-by-step explanation:
As there are 6 parts, the theoretical probability of landing on a one is 1/6 or 16.67 (16.666 repeating).
there are six sections total so you have 1/6 chance of landing on each one
plllllllls hellllp brainliest is going to first answer
Answers
Answer:
Picture
Step-by-step explanation:
r≤−9
Hope it helped!
please help!!! The cost of a car rental is $30 per day plus 23¢ per mile. You are on a daily budget of $76. Write and
solve an inequality to find the greatest distance you can drive each day while staying within your
budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Thank you in advance!!
Answers
Answer:
30+.23x=76
.23x=76-30
.23x=46
x=46/.23
x=200 miles is the mileage limit for $200.
Step-by-step explanation:
hope it helps
Solve the system. 2(y - x) = 5 + 2x 2(y + x) = 5 - 2y A) ( 1 2 , 3 2 ) B) (−2, 2 3 ) C) (− 1 2 , 3 2 ) D) ( 1 2 , − 3 2 )
Answers
Answer: C) \((-\dfrac{1}{2},\dfrac{3}{2})\)
Step-by-step explanation:
The given system of equations :
\(2(y-x) = 5+2x\ \ ...(i)\\\\ 2(y+x)=5-2y\ \ ..(ii)\)
Simplify left side, we get
\(2y-2x=5+2x\Rightarrow\ 2y-4x=5\ \ ...(iii)\\\\ 2y+2x=5-2y\Rightarrow\ 4y+2x=5\ \ ...(iv)\)
Multiplying 2 on equation (iii), we get
\(4y-8x=10\ \ ...(v)\)
Subtracting (v) from (iv) , we get
\(2x-(-8x)=5-10\\\\\Rightarrow\ 2x+8x=-5\\\\\Rightarrow\ 10x=-5\\\\\Rightarrow\ x=-\dfrac{5}{10}=-\dfrac{1}{2}\)
Put value of \(x=-\dfrac{1}{2}\) in (v), we get
\(4y-8(-\dfrac{1}{2})=10\\\\\Rightarrow \ 4y+4=10\\\\\Rightarrow\ 4y=10-4=6\\\\\Rightarrow\ y=\dfrac{6}{4}=\dfrac{3}{2}\)
hence, the solution to the system is \((x,y)=(-\dfrac{1}{2},\dfrac{3}{2})\)
Help plssssssss
Answers:
9/6 = 11.25/LM
9/6 = LM/7.5
6/9 = LM/4.5
6/9 = 4.5/LM
(It's also multichoice so choose 2 answers.)
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Explenation: you need the number to know what to multiply 4.5 by
Can someone please help me with this question. I just need to know the height.
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Step-by-step explanation:
Area of triangle = 1/2 . base . height
-1/6(12+18k) PLEASE HELP!!! Write the product.
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-1/6 • 12 = -12/6 = -2
1/6 • 18k = -18/6k = -3k
So the answer is -2-3k
Hope this helps :)
-1/6(12 + 18k)
Distribute the -1/6 with 12 and 18k.
-1/6(12) + -1/6(18k)
-12/6 + -18k/6
-2 - 3k
Help me, save me!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
Open circle means less than or greater than, and the dot is on -5, so the answer is greater than -5
Answer:
A
Step-by-step explanation:
What fraction is equivalent to 3/5?
A. 6/10
B. 2/4
C. 1/3
D. 4/5
Answers
Answer:
A. 6/10, because if you mutliply 3/5 by 2, then your answer would be 6/10...dont mine me just trying to take up spaceeeeeeee
I need help, please!!
Answers
Answer:
4
Step-by-step explanation:
Substituting into the slope formula,
\(\frac{-3-1}{2-3}=4\)
Answer:
C. 4Step-by-step explanation:
(3,1) and (2,-3)
Use the slope formula.
Slope:
\(\longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }\)
\(\sf{y_2=(-3)}\\\\\sf{y_1=1}\\\\\sf{x_2=2}\\\\\sf{x_1=3}\)
\(\sf{\dfrac{(-3)-1}{2-3}}=\sf{\dfrac{-4}{-1} }=\boxed{\sf{4}}\)
Therefore, the slope is 4, which is the correct answer.
I hope this helps, let me know if you have any questions.
Please Help
I need an answer ASAP
Answers
3/4 + 5/6? What is the equation.
Answers
what is 8^{11} ÷ 8^{9}
Answers
Answer:
64
Step-by-step explanation:
Answer: 64
Step-by-step explanation: I don't know how to do the step-by-step, but it's quite easy.
Please help me I'm desperate
Answers
V=πr^2h
You have the diameter which is 2 times to radius. In order to get the radius you half the diameter which is 9.
9 to the second power is 81. Then you multiply it by the height which is 11. 81 x 11 is 891. So 891 x pi would be about 2799.16.
2r=d 2 r = d.
So plug in 18m in as d.
2r=18
/2 /2
r= 9
The volume of a cylinder is v= πr^2h
Use Pi symbol in calculator unless specified to use 3.14
The height is 11m
V=πr^2h
V= π(9)^2(11)
V= π(81)(11)
V= π(891)
V= 2,799.159054348506
So, to the nearest whole number: v= 2,800 m
Write the standard numeral for 160 thousand four.
Answers
Answer:
160,004
Step-by-step explanation:
Find: Standard numeral for 160 thousand four
Standard Numeral: The basic form of the number.
------------------------------
For example:
Fourty-eight= 48
-------------------------------
In this case, we are finding:
160 thousand four:
-------------------------------
1 thousand= 1,000
160 thousand= 160 times of that thousand= 160*1,000= 160,000
160 thousand four= 160,000 plus the extra 4=
160,000+4=
160,004
In conclusion, the standard numeral for 160 thousand four is:
160,004
Nicole left the White House and traveled toward the lake at an average speed of 45 km/h. Sometime later Cody left traveling in the same direction but at an average speed of 60 km/h. After traveling for three hours Cody caught up with Nicole. How long did Nicole travel before Cody caught up?
Answers
Answer:
Step-by-step explanation:
To find total distance from Cody
Speed = 60 km/h
Time = 3 h
Distance = Speed x Time
Distance = 60 km/h x 3h = 180 km
Cody travel 180km to catch up with Nicole
To find Nicole Time of travel:
180 km = 45 km/h x T
Time = 180 km / 45 km/h = 4 h
It takes 4 hrs for Nicole to travel 180 km
Therefore Cody start 1 hr later
Mathamatics 20 Points!
Answers
Answer:
Step-by-step explanation:
so you spilt the shape in half.
cut out the top of the T. letssolve the top part.
10 times 2 times 5.
(equals 100)
and then lets solve the little rectangle at the bottom. 2 times 3 times 2 is 12.
(dont forget to add!)
100+12 is 112.
the answer is the 3rd from the top.
hope this helps.
An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor.The actual book is 9 inches wide. How tall is the actual book?
Please help and hurry
Answers
Answer:
Step one: 9÷1.5= 6
Step two: 3·6=18
The actual book is 18 inches tall and 9 inches wide
Answer:
Step one: 9÷1.5= 6
Step two: 3·6=18
The actual book is 18 inches tall and 9 inches wide
Step-by-step explanation:
What is the answer to this question
Answers
Answer:
Step-by-step explanation:
I think not possitive but i think it is the 3rd one hope im right
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Rhett decides to build a square room for his movie and music collection. If the area of the room is 16x2 − 24x + 9 square feet, what is the length of one side of the room?
(4x + 3) feet
(16x + 3) feet
(16x − 3) feet
(4x − 3) feet
Answers
Answer:
16x^2 - (12+12)x + 9
16x^2 -12x -12x +9
4x(4x-3)-3(4x-3)
(4x-3)(4x-3)
hence length of one side is 4x-3
14. Two hundred tickets were sold for a concert. Forty percent of the tickets were pre-sold. The remaining tickets were sold at the door. Sasha finds the number of tickets sold at the door in the following way:
First, she subtracts 40% from 100% to get 60%.
Then she finds the number that is 60% of 200.
Is Sasha correct? Use words and numbers to explain your answer.
Answers
Answer:80
Step-by-step explanation:
what you do is since there’s a whole and a present multiply them and then divide by 100 and there’s your answer.So Sasha was wrong.(btw I’m in 6th grade and this is exactly what we are working on so I know lol)
The table shows the multiplication of two linear expressions. Select the correct reason for each step.
Reason 1:
Reason 2:
Reason 3:
Reason 4:
Answers
Answer:
Step-by-step explanation:
reason 1:
opening of brackets to solve the expression
reason 2:
in multiplication order is followed i.e. the number always lead the variable in the expression
reason 3:
for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable
reason 4:
the solved and simplified expression is delivered as a result
Enrollment in a business seminar increased from 78 people to 90 people. What was the percent of the increase? Round to the nearest tenth of a percent.
Answers
There are 1 1/2 pounds of bricks in a bag. Each brick weighs 3/4 of a pound. How many bricks are in the bag?\\
Answers
Answer:
ok so each brick is 3/4 of a pound so we wont to know how many times 3/4 goes into 1 1/2
so lets just count up 3/4
3/4 =1
1 1/2=2
so 2 times
Hope This Helps!!!
Answer:
There are 2 bricks in the bag.
Step-by-step explanation:
Let n represent the number of bricks in the bag. Then:
(3/4 lb)n = 1 1/2 lb total; find n by dividing both sides by (3/4 lb)/brick:
1 1/2 lb
n = --------------------- = 2 bricks
3/4 lb/brick
There are 2 bricks in the bag.
The dimensions of triangle B are three times the dimensions of triangle A. The area of triangle A is 12.5 cm2.
What is the area of triangle B?
Answers
This graph represents a linear function
select the equation represented by the graph
Answers
Y=4/1x -1
Answer: \(y = \frac{1}{4} x - 1\)
Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where
m = \(\frac{rise}{run}\) = the slope of the linear functionb = the y intercept.In our case,
m = \(\frac{rise}{run}\) = \(\frac{1}{4}\)b = -1
Use the best-fit line below to predict the value of y when x = 7
Answers
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
If 13 people each receive 113 jelly beans today, how many
total jelly beans were received?
please help
Answers
Answer:
1,469
Step-by-step explanation:
because 13*113 is 1,469
Answer:
If 13 people each receive 113 jelly beans, the total number of jelly beans received is 13 x 113, which is 1469.
Let me know if this helps!