Answers
The first step to solve this problem is to compute first for the area of the bigger rectangle:
A = LW
A = 12m (10m)
A = 120 m^2
Next step is to find the area of the smaller rectangle:
A = LW
A = 7m (2m)
A = 14 m^2
The last step is to deduct the area of the smaller rectangle to the area of the larger rectangle:
Area of larger rectangle – Area of the smaller rectangle = Area of the shaded region
120 m^2 – 14 m^2 = 106 m^2
Therefore, the area of the shaded region is 106 square meters.
Related Questions
Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6
Answers
Answer: the number is x = 1 + 21/52
Step-by-step explanation:
we have
(5 + 5/12) - x = (6 + 1/6) - (2 + 2/13)
this means that x is smaller than 5 + 5/12 by the same amount as (2 + 2/13) is smaller than (6 + 1/6)
We can solve it directly, first solve the parentheses, put the whole numbers at one side and the fractions in the other side:
5 - 6 + 2 - x = -5/12 + 1/6 - 2/13
1 - x = -5/12 + 2/12 - 2/13
1 - x = -3/12 - 2/13 = -1/4 - 2/13 = -13/(4*13) - (2*4)/(4*13) = -21/52
x = 1 + 21/52
Answer:
73/52
Step-by-step explanation:
At a movie, 1/4 of the people in the theater were men, 5/8 were woman l, and the rest were children. If there were 100 more woman than children, what was the total number of people in the theater.
Answers
x---------------> number of men in the theater
y---------------> number of women in the theater
z---------------> number of children in the theater
T--------------> total number of persons in the theater
we know that
T=x+y+z
x=(1/4)*T
y=(5/8)*T----------> equation 1
z=T-[(1/4)*T+(5/8)*T]-----> z=T-(7/8)*T------> z=(8*T-7*T)/8------> z=(1/8)*T
z=(1/8)*T----------> equation 2
y=100+z--------> equation 3
I substitute (1) and (2) in (3)
(5/8)*T=100+(1/8)*T------> (5/8)*T-(1/8)*T=100--------> T=200 persons
the total number of people in the theater was 200 persons
number of men in the theater------> 200*(1/4)=50 men
number of women in the theater----> 200*(5/8)=125 women
number of children in the theater----> 200*(1/8)=25 children
32 15' 66" is the same as _____. Round to the nearest hundredth of a degree. Answer:
Answers
Answer:
32.27
Step-by-step explanation:
Find the derivative of y with respect to x. y= ((lnx)/(2+lnx))
Answers
[tex]y'=\left(\frac{\ln x}{2+\ln x}\right) '=\frac{(\ln x)'(2+\ln x)-(2+\ln x)'\ln x}{(2+\ln x)^2}=\frac{\frac{1}{x}(2+\ln x)-\frac{1}{x}\ln x}{(2+\ln x)^2}[/tex].
Therefore, [tex]y'=\frac{\frac{2+\ln x}{x}-\frac{\ln x}{x}}{(2+\ln x)^2}=\frac{\frac{2}{x}}{(2+\ln x)^2}=\frac{2}{x(2+\ln x)^2}[/tex].
Which of these examples is an error of addition by one?
A. 46,371 + 32,618 = 78,989
B. 38,273 + 51,425 = 89,798
C. 13,246 + 84,631 = 97,877
D. 52,634 + 25,145 = 77,779
Answers
Answer: B. 38,273 + 51,425 = 89,798
Step-by-step explanation:
Let's check all the sum by adding their corresponding places.
A. [tex]46,371 + 32,618 = 78,989[/tex]
Its correct.
B. [tex]38,273 + 51,425 =89698\neq 89,798[/tex]
Here when we add the digits on the hundredth place we get 6 not 7.
Hence, it is the example of an error of addition by one.
Its correct.
C. [tex]13,246 + 84,631 = 97,877[/tex]
Its correct.
D. [tex]52,634 + 25,145 = 77,779[/tex]
Its correct.
Melissa had 56 pens and 37 pencils thanks. How many pencils did Melissa have?
Answers
We do . . . .
[tex]\boxed{56+37=3}[/tex]
(93) should be your correct answer!
Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has?
Answers
Answer: 25, mark brainlist
Step-by-step explanation:
Help please help I need help please like pretty please btw this is on mobile
Answers
[tex]\bf 1-\cfrac{3}{8}\implies \cfrac{1}{1}-\cfrac{3}{8}\impliedby \textit{our LCD is 8}\implies \cfrac{8-3}{8}\implies \cfrac{5}{8}[/tex]
Cereal is packaged in a box shaped like a rectangular prism with a base 7.5 by 2 inches, and a height of 10 inches. Manufacturing each box requires 10% more cardboard than the box’s surface area. How much cardboard is needed to make each box
Answers
The total area is 2(LW +H(L +W)). You want 10% more than that, so can find it by multiplying the area by 1.10.
find the values of x that satisfy
Answers
2x - 7 < 15 and 2x - 7 > -15
2x < 22 2x > -8
x < 11 x > -4
Or you can write it -4 < x < 11
how many solutions 2x+3y=-3 and 3x + 5y = -9
Answers
We can find the solutions by simultaneously solving the two equations.
From first equation, the value of y comes out to be:
[tex]2x+3y=-3 \\ \\ 3y=-3-2x \\ \\ y= \frac{-3-2x}{3} [/tex]
Using this value of y in second equation, we get:
[tex]3x+5( \frac{-3-2x}{3} )=-9 \\ \\ 9x-15-10x=-27 \\ \\ -x=-27+15 \\ \\ -x=-12 \\ \\ x=12[/tex]
Using this value of x, we can find y:
[tex]y= \frac{-3-2x}{3}= \frac{-3-24}{3} =-9 [/tex]
Therefore, there is only one solution to the given equations is which is (12, -9)
solve on the interval (0,pi)
1+cosθ=((sqrt3)+2)/2
Answers
WILL GIVE BRAINLIEST!!!!!!!!!!!!!! Select the points that are solutions to the system of inequalities. Select all that apply
Answers
the solutions to this system of inequalities are every point in the blue area. In order to figure out if each of those choices are solutions, just graph the points, and if they are in the blue, they are solutions.
Using this method, you get A and C as your answers because they are in the blue region.
I really hope this helps!
Best wishes :)
The points that are solutions to the system of inequalities is ( -12,0), (-10,1), the correct option is A and C.
What is System of Inequalities?The system of Inequalities are the set of inequalities that have a common solution.
The solution of the set of Inequalities can be obtained by plotting a graph and finding the common area.
The solution to the system of inequalities is shown in the graph.
The points that are solutions to the system of inequalities is
( -12,0)
(-10,1)
To know more about System of Inequalities
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A farmer raises chickens and cows. There are 34 animals in all. The farmer counts 110 legs on these animals. How many of each animal does the farmer have?
Answers
Chickens = y
x+y = 34
4x + 2y = 110 or 2x + y = 55
subtract them
x = 21
so, 21 Cows and 13 Chickens, Total = 34
check:
Cowlegs = 84
Chickenlegs = 26
Total = 110
if the triangle PQR sin(P)=0.2,sin(R=)0.4 and r=22 what is length of p
Answers
the law of sines
a/sinA=b/sinB=c/sinC
then
p/sinP=r/sinR--------> p=r*sinP/sinR-------> (22*0.2)/0.4------> p=11
the answer is p=11 units
Answer:
Thank you
Step-by-step explanation:
which number is irrational? A.0.7 repeating B. √3 C. 4/3 D. 3.14
Answers
In mathematics, an irrational number is a number that can not be expressed as a fraction m / n, where m and n are integers and n is different from zero.
It is any real number that is not rational, and its decimal expression is neither exact nor periodic.
Therefore, the following number is irrational:
√3
Its result is:
√3 = 1.732050808
Answer:
The following number is an irrational number:
B. √3
A triangle shaped paper’s height is 18 cm and width is 10 cm. Find the hypotenuse of the paper.
Answers
The hypotenuse of the paper is 2√106 cm.
What is Pythagorean theorem ?
Hypotenuse ² = Height ² + Width ²
Know more about Pythagorean theorem,
The Pythagorean Theorem, also known as the Pythagoras Theorem, explains the relationship between the three sides of a right triangle. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle. Pythagorean triangles are the name given to the sides of a right triangle. Let's learn about Pythagorean theorem, formula, derivation and examples in detail.
The history of the Pythagorean theorem goes back to the ancient Babylonian and Egyptian era. The Greek mathematician Pythagoras of Samos introduced the Pythagorean theorem. Pythagoras was born in 570 BC. The Greek philosopher studied with other monks and formed a group of people; he finally stated the Pythagorean theorem. Even before Pythagoras, the ratio was shown on a Babylonian tablet 4000 years ago, but the theorem is published under the name of Pythagoras.
Here given, a triangle shaped paper’s height is 18 cm and width is 10 cm.
We want find the hypotenuse of the paper ?
Here, height of the paper = 18 cm and width of the triangle = 10 cm.
[tex] = {18}^{2} + {10}^{2} \\ = 324 + 100 \\ = 424[/tex]
So,
[tex]hypotenuse = \sqrt{424} \\ = \sqrt{2 \times 2 \times 2 \times 53} \\ = 2 \sqrt{2 \times 53} \\ = 2 \sqrt{106} \: cm[/tex]
Therefore,the hypotenuse of the paper is 2√106 cm.
Pythagoras theorem related one more question:
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Penélope bakes pretzels. She salts 3/8 of the pretzels. Write a fraction that is equivalent to 3/8.
Answers
Find the length of a rectangle with area of 16 sq. cm. and width of 8 cm.
2 cm
8 cm
128 cm
Answers
I believe the answer is:
A. 2 cm. because to find the area of the rectangle, you multiply length times width, so to find what the length is, you divide the width by the area, which is 2 cm.
I hope this helps you! Please mark me Brainliest! Lemme know if I can help with any further questions!
~Belle
Please help, math question.
Identify the variable and the categories represented in this problem. Set up and fill in a two-way table to represent the frequencies in this problem.
Answers
Identify the variable and categories
By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.
2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.
Part b)
Set up and fill 2 way table.
Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells
There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below
In a right triangle a=2b+4 and all side lengths are integers. The possible values for b are 4cm, 5cm, 8cm,10cm,12cm,and 24cm. Determine the values for a,b, and c. For the right triangle, a is ______cm long, b is _________cm long, and c is __________cm long. Create a similar triangle with different side lengths. Draw and label the side lengths.
Answers
b) A similar triangle is one with sides 12 cm, 5 cm, and 13 cm.
a step on a stairway is at least 8 inches high. Write and solve an inequality to represent the minimum number of steps between floors that are 10 feet apart
Answers
h ≥ 8 inches
If we take that in one feet we have twelve inches
The hight between floors are H=10ft = 120 inches
If we named number of steps with n, the appropriate inequality is
n ≤ 120/8 => n ≤ 15
Good luck!!!!
Answer:
If a step is "at least" 8 inches high, the minimum number of steps is theoretically 1, because that 1 step could be a 10-foot high step.
Step-by-step explanation:
If carleys mows the lawn for 2 weeks Ina row and does her chores 7 weeks straight how many more weeks will she need
Answers
Experts/ace/geniuses helpp
Answers
1 and 21/99
So your answer is 1 21/99 = 120 / 99 answer
what is the length of AC?
Answers
Leanne can clean a fish tank in 30 minutes. Karl can clean a fish tank in 20 minutes. If they work together, how many minutes does it take them to clean a fish tank? (2 points)
Answers
Answer:
12 minutes
Step-by-step explanation:
Just took the test and got it right
A computer screen consists of small rectangular dots called pixels. Find the number of pixels on a screen that has 600 rows with 700 pixels in each row. PLEASE HELP.
Answers
A = LW
A = 700 * 600
A = 420,000 square units
There are 420,000 pixels on the screen.
Hope this helps =)
Number of pixels = 420000 pixels
Explanation:
The pixels are covering the whole area of the computer screen. This means that to the number of pixels, we will simply need to get the area of the computer.
Number of pixels = area of computer screen = length * width
Number of pixels = 600*700 = 420000 pixels
Hope this helps :)
Honi is looking at a map with a scale of 1 4 in. = 20 miles. She measured the distance from Niceville to Live Oak as 2.5 in. She found the actual distance between Niceville and Live Oak by following these steps:
Step 1: Set up a proportion 1 4 20 = 2.5 x
Step 2: Cross multiply (20)(2.5) = ( 1 4 )(x)
Step 3: Simplify 50 = 1 4 x
Step 4: Solve for x, x = 250 miles
Which step, if any, contains a mistake?
A) Step 1
B) Step 2
C) Step 3
D) Step 4
Answers
Honi is looking at a map with a scale of 1/4 in. = 20 miles. She measured the distance from Niceville to Live Oak as 2.5 in. She found the actual distance between Niceville and Live Oak by following these steps:
Step 1: Set up a proportion 1/4/20 = 2.5/ x
Step 2: Cross multiply (20)(2.5) = ( 1/4 )(x)
Step 3: Simplify 50 = 1/4 x
Step 4: Solve for x, x = 250 miles
Which step, if any, contains a mistake?
we have that
Step 1: Set up a proportion 1/4/20 = 2.5/ x ----------> is correct
Step 2: Cross multiply (20)(2.5) = ( 1/4 )(x) ----------> is correct
Step 3: Simplify 50 = 1/4 x --------------------------------> is correct
Step 4: Solve for x, x = 250 miles ------------> is not correct
because in the step 3 we have ----------> 50=(1/4)*x
x=50*4----------> x=200 miles
the answer the option D) Step 4
The mistake is in Step 4 of Honi's calculation. The correct actual distance between Niceville and Live Oak should be 200 miles instead of the 250 miles that was stated in the original steps.
Explanation:The student's question pertains to setting up and solving a proportion to find the actual distance between two places using a map scale. The map scale given is ¼ in. = 20 miles. Honi measures a distance of 2.5 inches on the map. The steps to find the actual distance, using a proportion, should be evaluated for accuracy.
To set up the proportion correctly, we use the ratio of the map scale and compare it to the ratio of the measured distance to the actual distance (x). The correct proportion should be: (1/4 in.) / 20 miles = 2.5 in. / x miles.
Step 1 is correct, setting up the proportion based on the scale and measured distance. Step 2 involves cross-multiplying to find the relationship between the scale and the actual distance, which should yield (1/4) * x = 2.5 * 20. Step 3 should simplify this equation correctly, which would give us x = 2.5 * 20 * 4 = 200 miles. Therefore, Step 4 has a mistake because the solution provided should be 200 miles, not 250 miles as given.
what is the common ratio of the geometric sequence below? -96,48, -24, 12, -6,..
Answers
-96, 48, -24, 12, -6
Each term is divided by - 2 or multiplied by [tex] -\frac{1}{2} [/tex]
[tex] \frac{48}{-96} [/tex] = [tex] -\frac{1}{2} [/tex]
[tex] \frac{-24}{48} [/tex] = [tex]- \frac{1}{2} [/tex]
[tex] \frac{12}{-24} [/tex] = [tex]- \frac{1}{2} [/tex]
[tex] \frac-{6}{12} [/tex] = [tex]- \frac{1}{2} [/tex]
The common ratio is -[tex] \frac{1}{2} [/tex]
The common ratio of the given geometric sequence is [tex]-\frac{1}{2}[/tex], as each term is half the value and opposite in sign of the previous term.
The common ratio of a geometric sequence can be found by dividing any term by the previous term. In the given sequence, -96, 48, -24, 12, -6,..., let's divide the second term by the first term:
Common ratio (r) = [tex]\frac{48 }{-96} = -\frac{1}{2}[/tex]
This ratio will be consistent throughout the sequence. For example, dividing the third term by the second term also gives [tex]-\frac{24 }{ 48} = -\frac{1}{2}[/tex], confirming that the common ratio is indeed [tex]-\frac{1}{2}[/tex].
The following question has two parts. First, answer part A. Then, answer part B.
Isabella's mother has a garden with a total area of
10/23 square feet. She plans her planting season like this:
1/4 of the garden will be used for planting peas. And,
3/4 of the garden will be used for planting corn.
Answers
If you are looking for the total area for each portion multiply the original fraction by the fraction of each section.
[tex] \frac{10}{23} * \frac{1}{4} = \frac{10}{92} = \frac{5}{46} [/tex]
[tex] \frac{10}{23} * \frac{3}{4} = \frac{30}{92} = \frac{15}{46} [/tex]