Answers
9514 1404 393
Answer:
29 in²
Step-by-step explanation:
No need to be stumped. The dashed lines divide the figure into three recognizable forms, for which you have area formulas.
The area of a rectangle or parallelogram is given by the formula ...
A = bh . . . . . where b represents the base, and h represents the height.
__
The top part of the figure is a square. That is, it is a rectangle with its base equal to its height. In this figure, both are labeled 2 in.
A = (2 in)(2 in) = 4 in² . . . . . . area of top square
The middle part of the figure is a parallelogram. Its base is the same as the base of the rectangle below it. Its height is labeled 3 in.
A = (5 in)(3 in) = 15 in² . . . . . . area of middle parallelogram
The bottom part of the figure is a rectangle with a height of 2 in. Its base is the same length we used for the parallelogram: 5 in.
A = (5 in)(2 in) = 10 in²
The area of the figure is the sum of the areas of its parts:
figure area = 4 in² + 15 in² + 10 in² = 29 in²
The area of the figure is 29 in².
Related Questions
what number decreased by 3.5 equals 12.7 i have to write an equation then solve the problem
Answers
i know this because 12.7 x 3.5= 44.5
Answer:
n - 3.5 = 12.7
n=16.2
Step-by-step explanation:
n - 3.5 = 12.7, to solve add 3.5 to both sides
n = 12.7 + 3.5
n=16.2
Mohamad saved $63 during the month of June. Mohamad saved 7 times the amount of Money Laila saved. How much money did Laila save?
Answers
Answer:
I believe Laila saved $9.
Step-by-step explanation:
63/7=9
Divide
63/7 = 9
She saved $9
The results of a paired-difference test are shown below to the right. d = 5.6
a. Construct and interpret a 99% confidence interval estimate for the paired difference Sd =0.25 in mean values.
b. Construct and interpret a 90% confidence interval estimate for the paired difference n=16 in mean values_ (Round to two decimal places as needed:) Choose the correct answer below:
OA This interval will contain the true population mean 90% of the time_
OB. There is a 90% chance that the true population mean is contained in the interval.
Oc: If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean: 0
D. Approximately 90% of the differences will be contained in the interval.
Answers
If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.
When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.
This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.
The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.
In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.
It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.
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Someone please help me out here I am so stuck. I’ll give brainlist.
Answers
Answer:
1)
x=6 or x=−6
Step-by-step explanation:
Step 1: Add 36 to both sides.
x2−36+36=0+36
x2=36
Step 2: Take square root.
x=±√36
x=6 or x=−6
Answer:
here are ur answers........
Your class has 28 students if 25 of them play soccer how many students play soccer?
Answers
Answer:
7 students
Step-by-step explanation:
"Of" in math most of the time means multiplication.
28 x 25% = 7
That also means that 21 students DO NOT play soccer.
Solve x – 3.3 = -0.5. Write
your answer as a decimal.
The solution is x=
Answers
2. Add 3.3 to -0.5 which equals 2.8
Answer: x=2.8
what is the equstion of s line with a y-intercept of -5 and a slope of 8
Answers
Answer:
y = 8x - 5
Step-by-step explanation:
Given:
Slope: 8Y-intercept: -5To find:
Equation.How to find:
The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).
The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".
Make sure to use the formula:
y = mx + b
Now we insert.
y = 8x <---------- slope
y = 8x - 5 <------ y-intercept and completed slope-intercept equation.
The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.
Answer:
y = 8x - 5
Step-by-step explanation:
because if its has a slope of 8 then m is 8
if the y intercept is -5 the b is -5
y = mx + b
y = 8x -5
prove that:
\(\int_{}^{}tan(x) dx = ln|sec(x)| + C\)
Answers
(Hopefully)\(\huge\mathfrak\colorbox{white}{}\)
![prove that:[tex]\int_{}^{}tan(x) dx = ln|sec(x)| + C[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/PNGg8NAPe0ISYnepwdpDJXguBOVS4eSf.jpeg)
A matrix B is said to be a square root of a matrix A if BB = A. (a) Find two square roots of A = [2 2, 2 2] (b) How many different square roots can you find of A = [5 0, 0 9]? (c) Do you think that every 2 x 2 matrix has at least one square root? Explain your reasoning.
Answers
There is only one different square root of A.(a) To find the square roots of matrix A = [2 2; 2 2]: Let's consider two matrices B1 and B2: B1 = [1 1; 1 1]; B2 = [-1 -1; -1 -1].
Now, let's check if BB = A for each matrix: B1B1 = [1 1; 1 1] * [1 1; 1 1] = [2 2; 2 2] = A; B2B2 = [-1 -1; -1 -1] * [-1 -1; -1 -1] = [2 2; 2 2] = A. Both B1 and B2 satisfy BB = A, so they are two possible square roots of matrix A. (b) For matrix A = [5 0; 0 9], let's consider a matrix B: B = [√5 0; 0 √9] = [√5 0; 0 3] .We can see that BB = [√5 0; 0 3] * [√5 0; 0 3] = [5 0; 0 9] = A.
Thus, there is only one different square root of A. (c) Not every 2x2 matrix has a square root. For a square root of a matrix to exist, the matrix must be positive definite or positive semidefinite. If the eigenvalues of the matrix are negative or complex, there won't be any real square root. Additionally, if the matrix has zero eigenvalues with multiplicities greater than one, it may not have a unique square root. Therefore, the existence of a square root for a 2x2 matrix depends on its eigenvalues and their properties.
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A nutritionist created a 99% confidence interval to estimate the average amount of salt (grams) consumed by an individual per day to be (1, 8.9) grams. What is ...
Answers
The nutritionist created a 99% confidence interval to estimate the average amount of salt consumed by an individual per day to be (1, 8.9) grams. To determine the margin of error for this confidence interval, additional information is needed.
The margin of error is the maximum amount by which the estimate may deviate from the true population parameter. In this case, the margin of error for the confidence interval (1, 8.9) grams cannot be determined without knowing the sample size or the standard deviation of the salt consumption data. These values are necessary to calculate the margin of error. Once the sample size or standard deviation is provided, the margin of error can be calculated using the appropriate formula. Without this information, the specific value of the margin of error cannot be determined.
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Complete question:
A nutritionist created a 99% confidence interval to estimate the average amount of salt (grams) consumed by an individual per day to be (1, 8.9) grams.
What is the value of the margin of error of this confidence interval?
math sucks....who wants the brainlyest???? answer correctly and you'll get it.
Answers
Answer:
Put 1/2x on the line going straight across which is x with is somewhere in between 0 and 1
put -7 on the line going up and down which is y
the second one put it on -1 which is -x going straight across
put 2 on the line going up and down which is y
Step-by-step explanation:
Answer: so y = 1/2 x-7 point is gonna go on 0,-7 and y=-x+2 is gonna be on 0,2....i used desmos.
Step-by-step explanation: Oh and i want brainlest lol...its been a long time so hopefully i get this right lol
Jackson was selling cups of lemonade. How many cups total cups has Jackson sold after 4 hours on Sunday?
Answers
Answer:
he would sell 11 cups
Step-by-step explanation:
47-14=33
33÷3=11
solve this know or else no hamburger for you NOmNOmNoM
Answers
Answer:
B
Step-by-step explanation:
Answer:
Answer B!
Step-by-step explanation:
First solve:
3x+6-2x+4=x+10
Ok so we know x+10 is the answer use the key now:
X is a green rectangle ok so we have that.
1 is a little yellow square so we need 10 of those...
now lets see which one has 1 green rectangle and 10 yellow squares? B!!
Hope this helps!
A fence is put around a rectangular plot of land. The perimeter of
the fence is 28 feet. Two of the opposite sides of the fence cost $10
per foot. The other two sides cost $12 per foot. If the total cost of
the fence is $148, what are the dimensions of the fence?
1) 8 by 20
2) 4 by 102
3) 3 by 113
4) 2 by 12
Answers
Let's denote the length of the rectangle as "l" and the width as "w".
From the problem statement, we know that the perimeter of the fence is 28 feet, so:
2l + 2w = 28
Simplifying this equation, we get:
l + w = 14
We also know that two opposite sides cost $10 per foot, and the other two sides cost $12 per foot. This means that the total cost of the fence is:
10(2l) + 12(2w) = 20l + 24w
We are told that the total cost of the fence is $148, so:
20l + 24w = 148
Now we have two equations with two unknowns, which we can solve simultaneously.
We can solve for one variable in terms of the other, and substitute that expression into the other equation. For example, we can solve the first equation for l in terms of w:
l = 14 - w
Substituting this into the second equation, we get:
20(14 - w) + 24w = 148
Simplifying this equation, we get:
280 - 20w + 24w = 148
4w = 132
w = 33
Now that we know the width is 33 feet, we can use the first equation to solve for the length:
l + w = 14
l + 33 = 14
l = -19
This answer doesn't make sense, since the length of the fence can't be negative.
We made an error somewhere, so let's go back and check our work.
We can start by checking our equation for the cost of the fence:
10(2l) + 12(2w) = 20l + 24w
This equation is correct, but we made a mistake when we substituted l = 14 - w into it.
We should have substituted l = 14 - w into the first equation, and solved for w:
l + w = 14
14 - w + w = 14
w = 7
Now we can use this value of w to solve for l:
l + w = 14
l + 7 = 14
l = 7
Therefore, the dimensions of the fence are 7 feet by 7 + 7 + 6 + 6 = 26 feet.
The answer is not
Hopefully this helps ;)
Using an integrating factor, solve y-y-5 CD- in the method for solving a first-order linear differential equation, the first step is to put the equation in the standard form y alty bit). is the given equation in the standard form? No Yes Identify a(t) and bit)
Answers
The value of a(t) is -1 and b(t) is 55 + \(e^t\)
No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.
In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.
For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:
μ(t) = e^∫a(t)dt
To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.
To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).
Comparing the given equation with the standard form, we can identify:
a(t) = -1
b(t) = 55 + \(e^t\)
Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)
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What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
Answers
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
A jacket is on sale for 70% of the original price.if the discount saves $140,what was the original price of the jacket
Answers
Answer:
$200
Step-by-step explanation:
Consider the original price be x
As per the question
⇒x×70%=140Solving the equation yields:
⇒0.7x=140⇒0.7x/0.7=140/0.7⇒x=1400/7⇒x=200In conclusion
the original price of the jacket was $200
BOTS KEEP ANSWERING MY QUESTIONS SOMEONE PLEASE HELP ME THIS ONE PERSON KEEPS GIVING ME SOME LINK TO PRESS ON SOMEONE HELP ME
Answers
Answer:
That has happened to me so many times to the point where I just completely ignore it. Try reporting the answer or something like that because that is what I did and I haven't really had one answer any of my questions.
Step-by-step explanation:
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
describe the transformation g(x)=f(x)+9
Answers
Answer:
f(x) has been translated to the left 9.
Step-by-step explanation:
Your friends and you notice a classmate who always has brand new clothes, shoes, and electronics. What would you need to know in order to tell if this classmate’s family is actually wealthy?
Answers
To know if the classmate’s family is actually wealthy, one will need to know their assets and their debt.
What is an asset?In financial accounting, an asset means a resource that is owned or controlled by a business or an economic entity. An asset is anything that can be used to produce positive economic value.
Assets represent the value of ownership that can be converted into cash and the examples of personal financial assets include cash and bank accounts, real estate, personal property like furniture and vehicles, and investments such as stocks, mutual funds, and retirement plans.
In this case, through the assets, one will be able to know that they're wealthy. The debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. This is the money that they owe.
The asset should more than the debt.
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f+g/3 = y
please help omg im so confused
Answers
The solution for g in the equation f + g/3 = y is g = 3y - 3f
How to solve the equation for g?The equation is given as
f + g/3 = y
The above equation is a linear equation involving three variables
To make g the subject of the formula, we start by subtracting f from both sides of the above equation
So, we have
f - f + g/3 = y - f
Next, we evaluate the difference in the above equation
So, we have
g/3 = y - f
Next, we multiply both sides of the above equation by 3
So, we have
3 * g/3 = (y - f) * 3
Evaluate the product in the above equation
So, we have
g = (y - f) * 3
Open the bracket in the above equation
So, we have
g = 3y - 3f
The above shows that we have solved for g
Hence, the required solution for g in the equation f + g/3 = y is g = 3y - 3f
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Possible question
Make g the subject in the equation f + g/3 = y
can someone help me with the amount of space occupied by two dimencion figure
Answers
The area of this rectangular figure is equal to 71.3 square centimeters.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation (formula):
A = LB
Where:
A represent the area of a rectangle.B represent the breadth of a rectangle.L represent the length or height of a rectangle.By substituting the given dimensions into the formula for the area of a rectangle, we have the following;
Area of rectangle = 6.2 cm × 11.5 cm
Area of rectangle = 71.3 square centimeters.
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Complete Question:
Find the area of the rectangular figure shown above.
Three equal cubes are placed adjacent to each other in a row. If side of a cube is 2 , then find the total surface area of the cuboid thus formed.
Answers
Total surface area of cuboid is 56 sq.units.
What is Total Surface Area?Total surface area is the total space covered by an object. It includes both top and bottom of an objects.
Let a be the side of the cube, a=2.
The cube with 2 units are placed adjacent to each other it forms cuboid.
The dimensions of cuboid are,
length, l = a + a + a ⇒ 2+2+2=6 units.
breadth, b = a=2 units.
height, h =a=2 units.
Total surface area of cuboid = 2(lb+bh+hl) sq. units
= 2(6*2+2*2+2*6)
= 56 sq.units.
Hence, the total surface area of the cuboid thus formed is 56 sq.units.
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he tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first column, x, has the entries, negative 15, negative 12, negative 9, negative 6, negative 3, 0. The second column, g(x), has the entries, negative 15, blank, blank, blank, blank, 15. Which input value produces the same output value for the two functions? x = –12 x = –9 x = –6 x = –3
Answers
Answer:
Answer:
C
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
i got a hundred on the test
how many sets of 5 students can be selected out of 30 students?
Answers
Answer:
142 506
Step-by-step explanation:
here the order does not matter
Then
we the number of sets is equal to the number of combinations.
Using the formula :
the number of sets is 30C5
\(C{}^{5}_{30}=\frac{30!}{5!\left( 30-5\right) !}\)
\(=142506\)
There are 142506 ways in which 5 students can be selected out of 30 students.
How can a certain number of individuals be selected using a combination?The selection of 5 students out of 30 students can be achieved with the use of combination since the order of selection is not required to be put into consideration.
By using the formula:
\(\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}\)
where;
n = total number of individual in the set = 30r = number of chosing individuals to be selected = 5\(\mathbf{^nC_r = \dfrac{30!}{5!(30-5)!}}\)
\(\mathbf{^nC_r = \dfrac{30!}{5!(25)!}}\)
\(\mathbf{^nC_r = 142506}\)
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A sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat. what is the percent of fat in this hamburger sample?
Answers
The percentage of fat in this hamburger sample is 15 %.
What is percentage ?Percentage is the value per hundredth.
According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.
To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.
∴ (30/200) × 100
= 3000/200
= 30/2
= 15 %.
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A pair of Air Force 1 shoes went from $40 to $48. What is the percent increase for these shoes?
Answers
Answer:
Hi, the price went up by 20%
Hope this helps
Help me with this?
______________
Answers
Answer:
Austin will have to buy 180 squares of carpeting.
Step-by-step explanation:
First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.
We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.
18 x 25 = 450
6 x 15 = 90
450 - 90 = 360. The area of the room is 360 \(ft^{2}\)
Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 \(ft^{2}\). Divide 360 by 2 and you get 180.
What is the best name for Quadrilateral ABCD given the points A(−3,3), B(1,7), C(4,4), and D(0,0)?
A. Rhombus
B. Square
C. Rectangle
D. Parallelogram
Answers
Answer:
Rectangle
Step-by-step explanation:
First, we gotta graph it!
It's down below.
Now, what shape is that?
It's a rectangle!
the angle measurements in the diagram are represented by the following expressions.
Answers
-2x -2x
3x-12=24
+12 +12
3x=36
/3 /3
x=12