Naomi used a rectangle, a square, and a right triangle to form the following figure.
What is the area of the shaded region of the figure in
eters?
A-120 cm2
B-102 cm2
C-18 cm2
D-9 cm2
Answers
Answer:
102 cm2
Step-by-step explanation:
First you want to find the area of the entire rectangle by multiplying the 2 sides.
20cm x 6cm = 120
Then you want to find the area of the other two shapes (in this case the square and triangle). Also use the other sides to find the lengths of the triangle.
Square = 3 x 3 = 9
triangle = 6 x 3 = 18 / 2 = 9
So then all you have to do is subtract the squares and triangles area from the total rectangle.
120 - (9 + 9)
120 - 18
102 cm2
Hope this helps! Feel free to message me for anymore help!
Related Questions
Rodalyn can do a job in 5 days while apple can do the same in 3 days. How long will it take them to do the job uf they work together
Answers
It will take Rodalyn and Apple approximately 1.875 days (or 1 day and 18 hours) to complete the job if they work together.
Let's denote the time it takes for them to complete the job together as "t."
Rodalyn's rate of work is 1 job per 5 days, which can be expressed as 1/5 job per day.
Apple's rate of work is 1 job per 3 days, which can be expressed as 1/3 job per day.
When they work together, their rates of work are combined. Therefore, we can add their rates of work to find their combined rate:
Combined rate = 1/5 + 1/3 = 3/15 + 5/15 = 8/15 job per day.
Since the combined rate is given in terms of jobs per day, we can set up the equation: (8/15) * t = 1 (where 1 represents the complete job)
Simplifying the equation, we get: 8t = 15
Dividing both sides by 8: t = 15/8 = 1.875 days.
Therefore, it will take Rodalyn and Apple approximately 1.875 days (or 1 day and 18 hours) to complete the job if they work together.
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what is the annual percentage yield (apy) for money invested at the given annual rate? round results to the nearest hundredth of a percent. 3.5% compounded continuously. a. 3.56%. b. 35.5%.c. 35.3%. d. 3.50%
Answers
The correct answer is option c. 35.3%. The annual percentage yield (apy) for money invested at the given annual rate of 3.5% compounded continuously is 35.3%.
The annual percentage yield (APY) is a measure of the total interest earned on an investment over a year, taking into account the effects of compounding.
To calculate the APY for an investment with continuous compounding, we use the formula:
\(APY = 100(e^r - 1)\),
where r is the annual interest rate expressed as a decimal.
In this case, the annual interest rate is 3.5%, which, when expressed as a decimal, is 0.035. Plugging this value into the APY formula, we get:
\(APY = 100(e^{0.035} - 1).\)
Using a calculator, we find that \(e^{0.035\) is approximately 1.03571. Substituting this value back into the APY formula, we get:
APY ≈ 100(1.03571 - 1) ≈ 3.571%.
Rounding this value to the nearest hundredth of a percent, we get 3.57%.
Among the given answer choices, option c. 35.3% is the closest to the calculated value.
Options a, b, and d are significantly different from the correct answer.
Therefore, option c. 35.3% is the most accurate representation of the APY for an investment with a 3.5% annual interest rate compounded continuously.
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The price for calculating the price to deliver a parcel of mass m kg is price ($) = 7 + 3.5m
What is the mass, in kg, of a parcel with a delivery price of $70?
Answers
Answer:
18 Kg
Step-by-step explanation:
We can use algebra to solve for the mass, m, given the delivery price, $70.
Starting with the formula:
price ($) = 7 + 3.5m
We can substitute $70 for price ($) and solve for m:
$70 = 7 + 3.5m
Subtracting 7 from both sides:
$63 = 3.5m
Dividing both sides by 3.5:
m = 18
Therefore, the mass of the parcel is 18 kg.
Find the distance between each pair of parallel lines with the given equations y=3x, y=3x+10
Answers
Answer:
sqrt10
Step-by-step explanation:
Since the closest distance between two parallel lines is a line that is perpindicular to them, we first find the line of the slope that is perpindicular to both lines. Since slope of line y = 3x+10 is 3, the slope of the line that is perpinduclar is -1/3. Therefore y = -1/3x is perpindicluar to both lines. We then find the intersection point of each line. We find said points by setting the lines equal to each other. 3x+10=-1/3x, x = -3 therefore y = 1. For the second line we get we find the origin is the intersection. Therefore since this forms a right triangle with the x axis, we find that the distance is 3^2+1^2 = sqrt10
help me with this question
Answers
Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
Which of these is the absolute value parent function?
O A f(x) = 12x1
O B. f(x) = (x + 1
O c. f(x) = [xl - 2
O D. f(x) = [X]
Answers
Answer:
D. f(x) = |x|
Step-by-step explanation:
The absolute value parent function has nothing added or subtracted or multiplied. It is simply ...
f(x) = |x|
The 40 and 50 degree angles are?
Answers
Answer:
40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)
Step-by-step explanation:
Please help me I’m timed
Answers
The equation of the line in slope intercept form is y = -6x - 4
How to determine the equation of the line?From the graph;
The line passes through the following points
(-1, 2) and (-2, 8)
The slope of the line is
m =(y2 - y1)/(x2 - x1)
So, we have
m = (8 - 2)/(-2 + 1)
Evaluate
m = -6
The equation of the line is
y = m(x - x1) + y1
So, we have
y = -6(x + 1) + 2
Evaluate
y = -6x - 4
Hence, the equation of the line in slope intercept form is y = -6x - 4
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Goal and scope A. Selecting an appropriate functional unit is important, but may not be straightforward. Here, our functional unit will be 200,000 miles driven - in other words, the amount of driving a person could expect to do if they bought a new car and drove it until the end of its life. As we know, however, a variety of functional units may be acceptable. a. Briefly explain ( 1 sentence each) why each of the following alternative functional units would or would not be appropriate for our purposes. - "one vehicle" - "distance traveled in one full gas tank or battery charge" - "one year of normal commuting" -1kg of vehicle" b. Now let's say that, in addition to a conventional automobile and an EV, we also wanted to consider riding the public bus as a personal transportation option. In this case, would 200,000 miles driven still be an appropriate choice of functional unit? Why or why not? Which of the functional units from the above list might be more suitable? B. In order to capture the major sources of environmental impacts from "cradle to grave" we will consider three phases of the life cycle: Production, Use, and End-of-life. What is one other phase we could consider? Do you think that omitting this phase will have a significant impact on our conclusions? Why or why not? C. Since our stated purpose is to evaluate which option is more "climate-friendly," we will consider the impact category of global warming potential (GWP, units: kgCO eq). a. Before we begin our LCA, let's form some hypotheses about what we expect to find. Do you expect that EVs or conventional automobiles will be "better" from the perspective of GWP? Do you think that the Production, Use, and End-of-life phases will all contribute equally to GWP for conventional vehicles? How about EVs? Explain your reasoning for each answer. b. What is one other impact category we could consider? Would your answers to the above questions be the same for this impact category, or different? Why?
Answers
The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs. The distance traveled in one year of normal commuting could be more suitable in this case.
A. The functional unit, which is defined as the quantified performance of a product system or service that will be used as a reference for conducting the life cycle assessment, is important for evaluating the impacts of products or systems on the environment.
The following are the different functional units that are acceptable or not acceptable to assess the environmental impacts of the product or system.
The first functional unit, one vehicle, is not appropriate as it doesn't represent the amount of driving a person could expect to do if they bought a new car and drove it until the end of its life.
The second functional unit, distance traveled in one full gas tank or battery charge, would not be appropriate for our purpose as it is not clear what type of vehicle it will be used for.
The third functional unit, one year of normal commuting, would not be appropriate as it does not consider all the environmental impacts over the lifetime of the vehicle.
The fourth functional unit, 1 kg of vehicle, would not be appropriate as it is too small of a functional unit to evaluate the environmental impacts of the vehicle.
B. If we also wanted to consider riding the public bus as a personal transportation option, 200,000 miles driven would not be an appropriate choice of functional unit. This is because buses are used for transportation purposes, and they will have different environmental impacts than cars.
Therefore, the distance traveled in one year of normal commuting could be more suitable in this case.
C. One other impact category we could consider is the acidification potential. The production phase could have a larger contribution to acidification potential than the use and end-of-life phases for both conventional vehicles and EVs.
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if a confidence interval is given from 8.56 to 10.19 and the mean is known to be 9.375, what is the maximum error?
Answers
The maximum error of the given confidence interval is 0.815, meaning that the true mean is likely to be within 0.815 of the known mean of 9.375.
Maximum Error = (Upper Limit - Lower Limit) / 2
In this case, we have a confidence interval from 8.56 to 10.19 and the mean is known to be 9.375. To calculate the maximum error, we first need to subtract the lower limit (8.56) from the upper limit (10.19), which gives us a difference of 1.63. We then divide this number by 2, which gives us a maximum error of 0.815. This means that the maximum error of the given confidence interval is 0.815. This means that the true mean is likely to be within 0.815 of the known mean of 9.375.
The maximum error of the given confidence interval is 0.815, meaning that the true mean is likely to be within 0.815 of the known mean of 9.375.
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Karen earn a commission of $140.00 per course that you sell on the internet. She
sold 112 courses.
What is her commission?
Answers
Answer:
$ 15680
Step-by-step explanation:
From the question given above, we were told that Karen earn a commission of $ 140 per course.
To know her commission for selling 112 courses, we simply do the following:
Karen earn a commission of $ 140 for 1 course.
Therefore, she will ear $ X for 112 courses i.e
$ X = $ 140 × 112 course/ 1 course
$ X = $ 15680
Therefore, Karen commission for selling 112 courses is $ 15680
would this be sin, cos, or tan?
Answers
Answer:
cos
Step-by-step explanation:
its adjacent over hypotenuse
Answer: cos
Step-by-step explanation:
You don't have a value for the side opposite the angle, you only have your hypotenuse and your adjacent side. Hope this helps.
Perform the following calculations and round according to the rule of significant figures. (6 points) a) 3.14×5.06= b) 300.×10.60= c) 0.079×6.95= d) 80.5/0.8759= e) 0.0409/106.= f) 8.70/0.356=
Answers
The rule of significant digits is:
a) 3.14 × 5.06 = 15.9
b) 300. × 10.60 = 3180
c) 0.079 × 6.95 = 0.548
d) 80.5 / 0.8759 = 92
e) 0.0409 / 106. = 0.000386
f) 8.70 / 0.356 = 24.4
a) 3.14 × 5.06 = 15.9184
Rounding to the appropriate number of significant figures, we get 15.9.
b) 300. × 10.60 = 3180.0
Rounding to the appropriate number of significant figures, we get 3180.
c) 0.079 × 6.95 = 0.54805
Rounding to the appropriate number of significant figures, we get 0.548.
d) 80.5 / 0.8759 = 91.9875611
Rounding to the appropriate number of significant figures, we get 92.
e) 0.0409 / 106. = 0.000385849
Rounding to the appropriate number of significant figures, we get 0.000386.
f) 8.70 / 0.356 = 24.4382022
Rounding to the appropriate number of significant figures, we get 24.4.
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Lin needs to mix a specific shade of orange paint for the set of the school play. The color uses 3 parts yellow for every 2 parts red.
Complete the table to show different combinations of red and yellow paint that will make the shade of orange Lin needs
Answers
Combination of red and yellow paint that follows the ratio of 3 parts yellow for every 2 parts red will make the shade of orange Lin needs.
Red Yellow
2 3
4 6
6 9
8 12
The formula for this specific shade of orange paint is 3 parts yellow for every 2 parts red. To calculate the amounts of red and yellow paint that can be used for different combinations we can use the following equation:
Yellow = 2 x Red/3
For the first combination of 2 parts red and 3 parts yellow, the equation can be written as:
Yellow = (2 x 2)/3
Simplified, that is 2/3, or 3 parts yellow.
For the second combination of 4 parts red and 6 parts yellow, the equation can be written as:
Yellow = (2 x 4)/3
Simplified, that is 4/3, or 6 parts yellow.
For the third combination of 6 parts red and 9 parts yellow, the equation can be written as:
Yellow = (2 x 6)/3
Simplified, that is 8/3, or 9 parts yellow.
For the fourth combination of 8 parts red and 12 parts yellow, the equation can be written as:
Yellow = (2 x 8)/3
Simplified, that is 16/3, or 12 parts yellow.
Therefore, any combination of red and yellow paint that follows the ratio of 3 parts yellow for every 2 parts red will make the shade of orange Lin needs.
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How do you divide fast without a calculator?
Answers
The simplest way to perform a division is long division and synthetic division.
What is division?
Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
There are two methods to perform division:
Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.
Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.
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Lisa is ordering 5 bags of cat food from Canada. Each bag has a mass of 6 kg To determine the shipping costs, Lisa needs to know the total weight in pounds. What is the weight of the cat food in pounds?
Answers
Answer:
About 66 Lb
Step-by-step explanation:
Callie posted a cute cat video on a popular website. On the first day after she posted the video, the video had 5 views. On the second day, it had 15 views. On the third day, it had 45 views, and on the fourth day, it had 135 views.
A. How many views would you expect the video to have after 5 days? Explain how you found your answer.
B. Which type of reasoning did you use to solve this problem, deductive or inductive? (2 points)
Answers
Answer:
(A) 5th day: 405 views
(B) inductive
Step-by-step explanation:
Each day the views get multiplied by 3.
Answer:
A. I would expect the video to have 405 views after day 5. There is a pattern of the number being multiplied by 3.
B. Deductive reasoning
Step-by-step explanation:
(This is really going to explain BOTH questions at the same time)
Looking that the problem, the number of views keep going up. There is a multiplier behind this, we just don't know WHAT multiplier it would be. To find that out, divide 1 value by the one before it. I'll do 135 divided by 45 as an example. That would equal three. Now we know the multiplier is 3. So, now we need to multiply 135 by 3 to get 405 views after five days.
(This is really summarizing B, whilst answering A.)
what are p coordinates?
Answers
The coordinates of the point P after the rotation is P' ( 5 , -2 )
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the point be represented as P
The coordinates of P = P ( 5 , 2 )
Now , when the point P is rotated by an angle of 270° about the origin ,
On 270° clockwise rotation: (x,y) becomes (-y,x)
And , on 270° counterclockwise rotation: (x,y) becomes (y,-x)
So , assume the rotation is counterclockwise ,
The coordinates of P after rotation is P' ( 5 , -2 )
And , assume the rotation is clockwise ,
The coordinates of P after rotation is P' ( -5 , 2 )
Hence , the coordinates of P after rotation is P' ( 5 , -2 )
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Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C. 3x2 8x â’ 10 = -8 D. -2x2 8x â’ 3 = 4.
Answers
The given question can be solve using quadratic formula.
The correct option is (c) \(3x^2 +8x -10=-8\).
Given:
The given equation is,
\(x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}\)---------------------------(1)
Write the general quadratic equation.
\(ax^2 + bx +c=0\)
Write the quadratic formula.
\(x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}\)------------------------------- (2)
Compare equation (1) and (2).
\(a=3\\b=8\\c=-2\)
Substitute the value of \(a\), \(b\) and \(c\) in general quadratic.
\(3x^2 +8x -2=0\)
Subtract \(8\) from each side of above equation.
\(3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8\)
Thus, the correct option is (c) \(3x^2 +8x -10=-8\).
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What is the value of x?
Answers
Answer:
The answer is 6
Step-by-step explanation:
3 times 2 equals six
PLEASE NEED HELP PROPOTION AND PERCENTS !!!WILL GIVE BEST RATE
Answers
Answer:
80
Step-by-step explanation:
40 is 100
32 is x
100*32/40=80
Answer:
125 percent
hope it help
The regular pnce of a calculator is $15.98.Today you can buy it on sale for 70% of the regular price About how much will the calculator cost?
Answers
Answer:
$11.19
Step-by-step explanation:
15.98•0.70=11.19
Answer:
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Step-by-step explanation: 3pooopppppp391ti194i19iq09r4it0941it09134t901i4t943it09431ti934it9134t91i3t90349it9130ti1093it109ti190ti0910i9ti90i9103ti9i91349ti9139i04t09i34ti9130ti109ti0914ti1903ti9304ti094t130ti1043it10i0i41i(3+4=7)d
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Solve for x pls show your work
1/6x-1/8=11/12
Answers
Answer:
x = 25/4
Step-by-step explanation:
1/6x-1/8=11/12
The least common multiple for 6, 8, and 12 is 24
Multiply both sides by 24 to clear the fraction
24 (1/6x-1/8=11/12)
4x -3 = 22
Add 3 to each side
4x-3+3 = 22+3
4x= 25
Divide each side by 4
4x/4 = 25/4
x = 25/4
The Point class represents x,y coordinates in a Cartesian plane. Which line of code appears completes this operator which transforms a Point by dx and dy? (Members written inline for this problem.) class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return _________________________;}
Answers
The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.
The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`
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in the right triangle shown m
Answers
This question is incomplete, as you did not provide a question or image to go along with a question.
Marlon runs on a driveway which is 1/12 of a mile long. How many times does Marlon run the length of the driveway to complete his daily goal of 1 1/2 miles?
Answers
Answer:
3 times
Step-by-step explanation:
1/2 times 3 or running the length of the driveway 3 times gets you to 1 and 1/2 so do 3 x 1/2 for you answer.
answer: 3
Michael had saved $257.40; he had deductions of $21.82 for dinner and $ 150.32 for clothes he purchased. After receiving his monthly allowance of $45, how much money does Michael have?
Answers
Answer:
130.26
Step-by-step explanation:
257.40-21.82-150.32=45=130.26
−4p+9=−5
Plzzzzzzz help
Answers
Answer:
p = 3.5 or p = 7/2
Step-by-step explanation:
-4p+9= -5
or, -4p = - 14
or, p = -14/-4
or, p = 7/2 = 3.5
Answer:
p = 3.5
Step-by-step explanation:
What you would do to get p is subtract 5 from both sides of the equation to leave the number and p, THEN divide both sides by the numerator of -4.
-4p + 9 = -5
- 9 -9
__________
-4p = -14
__ __
-4 -4
Thus, p = 3.5
f(x)=5x-6 and g(x)=x-4 find (f of g)^-1
Answers
Answer:
{5 x = f(x) + 6, x = g(x) + 4}
Step-by-step explanation:
two point charges are placed on the x-axis as follows: charge q1 = 3.99 nc is located at x= 0.205 m , and charge q2 = 5.01 nc is at x= -0.302 m .
Answers
Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.
The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.
In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.
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