Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Answers
Answer: \(92 \text{ yd}^2\)
=======================================================
Work Shown:
\(A = \frac{h(b_1+b_2)}{2}\\\\A = \frac{8(19+4)}{2}\\\\A = \frac{8(23)}{2}\\\\A = \frac{184}{2}\\\\A = 92\\\\\)
The \(b_1\) and \(b_2\) are the parallel bases, while h is the height perpendicular to each base.
The units are in square yards, abbreviated as \(\text{yd}^2\)
Think of a 1 yard by 1 yard square that has an area of \((1 \text{ yd})*(1 \text{ yd}) = (1)^2(\text{yd})^2 = 1 \text{ yd}^2\)
The side of 9 yards is never used and put in there as a distraction.
Related Questions
I need help with this!
Answers
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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Whirly Corporation’s contribution format income statement for the most recent month is shown below:
Total Per Unit
Sales (8,700 units) $ 287,100 $ 33.00
Variable expenses 165,300 19.00
Contribution margin 121,800 $ 14.00
Fixed expenses 55,600
Net operating income $ 66,200
Required:
(Consider each case independently):
1. What would be the revised net operating income per month if the sales volume increases by 40 units?
2. What would be the revised net operating income per month if the sales volume decreases by 40 units?
3. What would be the revised net operating income per month if the sales volume is 7,700 units?
Last month when Holiday Creations, Incorporated, sold 37,000 units, total sales were $148,000, total variable expenses were $115,440, and fixed expenses were $35,800.
Required:
1. What is the company’s contribution margin (CM) ratio?
2. What is the estimated change in the company’s net operating income if it can increase sales volume by 500 units and total sales by $2,000? (Do not round intermediate calculations.)
Answers
1. Revised Net Operating Income = $66,760
2. Revised Net Operating Income =$64,640
3. Revised Net Operating Income =$52,
1. If the sales volume increases by 40 units:
So, New Sales = 8,700 units + 40 units = 8,740 units
and, New Contribution Margin =
= $14.00 x 8,740 units
= 122, 360
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 122360 - 55600
= 66,760.
2. If the sales volume decreases by 40 units:
New Sales = 8,700 units - 40 units = 8,660 units
New Contribution Margin
= 14 x 8660
= 121,240
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 65,640
3. If the sales volume is 7,700 units:
New Sales = 7,700 units
New Contribution Margin
= 14 x 7700
= 107,800
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 52, 200
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please help i dont know how to answer this
Answers
Answer:
The answer is s / s + 3
Step-by-step explanation:
I applied the fraction rule a/b divided by c/d = a/b times c/d
Please mark BRAINLIEST!
What is the inverse of g(x)= 1/x-1 and is it a function? 1/x Yes 1/x +1 Yes 1/x - 1 No 1/y-1 No
Answers
Answer:
Step-by-step explanation:
hello,
\(g(x)=\dfrac{1}{x-1}\\\\x=g(g^{-1}(x))=\dfrac{1}{g^{-1}(x)-1} \\ \\g^{-1}(x)-1=\dfrac{1}{x}\\ \\g^{-1}(x)=\dfrac{1}{x}+1=\dfrac{1+x}{x}\)
And this is a function defined for x different from 0.
Thanks
graph the line that passes through (0,3) and has slope 2/3
Answers
Answer:
(0,3) (3,5)
Step-by-step explanation:
You already have a point of (0,3) so graph that point and then using the slope go up 2 and right 3 so the other point you'll have is (3,5).
Equation: y = 2/3x + 3
Perpendicular slope is opposite sign reciprocal i.e. -3/2
Equation: y = -3/2x + 3
points on graph (0,3) (2,0)
Suppose that the relation G is defined as follows.
= {(3,9), (6,9), (4,0)}
Give the domain and range of G.
Write your answers using set notation.
Answers
G:{3,4,6}->{0,9}
The pairs represent the input (first number in each pair) and the result (second nu.ber in each pair) for the relation G. for example G(3)=9.
The domain is the set of values that the relation can act upon. The range is the set of the values the results can take
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answers
Answer:
43.6 has 3 significant figures.
You just bought a new laptop and paid an initial payment of $150.00. You will make 12 payments of $69.50. How much will the computer cost if your state charges 6% sales tax on the total sale.
Answers
Answer:
I think it would be $1043.04Step-by-step explanation:
en una escuela por cada 5 estudiantes hombres hay 13 estudiantes mujeres si en total de los estudiantes es de 34,000 ¿cuántos hombre y mujeres hay ?
Answers
There are 9444 men and 24555 females are present.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Total students = 34000
For every 5 male students there are 13 female students.
So, the number men are
= 5/18 x 34000
= 9444
and, number of women
= 13/ 18 x 34000
= 24, 555.
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The question attached here is in other language whose translation is given below.
In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?
Amanda, Bryan, and Carl are about to compete in 100
mixed IM swimming events. These are the only three
swimmers competing in this event. They are all working
hard to win first place.
How many different possible ways could the 3 swimmers
place?
2
Answers
9514 1404 393
Answer:
6
Step-by-step explanation:
Any of the three can be in first place.
Any of the remaining two can be in 2nd place.
The remaining swimmer will be in 3rd place.
There are 3 × 2 × 1 = 6 possible orderings of the swimmers.
Select the numbers that are arranged from greatest to least.
Answers
Answer:
D
Explanation:
Let's write each number as a decimal.
1.6 x 10⁻⁴ = 0.00016
Because multiply by 10⁻⁴ means that the decimal point of 1.6 is 4 places to the left. In the same way, we get for each option
Option A.
1.6 x 10⁻⁴ = 0.00016
1.62 x 10⁻⁴ = 0.000162
1.7 x 10⁻⁵ = 0.000017
Therefore, 0.000162 is greater than 0.00016 and they are not arranged from greatest to least.
Option B.
1.62 x 10⁻⁴ = 0.000162
1.6 x 10⁻⁵ = 0.000016
1.7 x 10⁻⁵ = 0.000017
Since 0.000017 is greater than 0.000016, they are not arranged from greatest to least
Option C.
1.6 x 10⁻⁵ = 0.000016
1.7 x 10⁻⁵ = 0.000017
1.62 x 10⁻⁴ = 0.000162
Since 0.000017 is greater than 0.000016, they are not arranged from greatest to least
Option D.
1.62 x 10⁻⁴ = 0.000162
1.7 x 10⁻⁵ = 0.000017
1.6 x 10⁻⁵ = 0.000016
Then, the correct option is D.
You have $20 to spend and apples cost $1 per apple. The independent variable is apples. What is the Range and Domain?
Answers
The Range and Domain for the apples as per the given information is (1, 20) and (1, 20).
What is meant by range?The difference between the greatest and lowest values of a set of integers is defined as its range. To find it, subtract the distribution's lowest number from its highest.
Because the term "range" can have multiple meanings, it is recommended that it be defined the first time it is used in a textbook or article. When older books use the term "range," they usually indicate what is currently known as the codomain. More recent works, if they use the phrase "range," usually use it to refer to what is now known as the picture. A number of current books avoid using the word "range" entirely to avoid confusion.
Given,
We need to spend $20 for each apple
And also given that,
The cost of each apple is $1
Here the independent variables are apples
Range=(1, 20)
Domain=(1, 20)
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The size of a mumps virus is
approximately 0.000 000 19 metres.
What is this value in standard form? Give
your answer in metres (m).
Answers
Answer:
\(1.9 \times {10}^{7} meters\)
is the right answer
Two trains leave stations 192 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
11 hours
Answers
Answer:
32 miles per hour
Step-by-step explanation:
x+85+75=192 x+160=192 x=192-160 x=32..
Complete the statement. Round to the nearest hundredth if necessary. 9 mi $\approx$ km
Answers
Answer:
Step-by-step explanation:
Complete the statement. Round to the nearest hundredth if necessary.
9 mi ≈
km
Find the area of the figure below.
Enter the answer as square inches.
Answers
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
A student measures the mass of a sample is 2.7 grams. What is the percent error, given that the correct mass is 2.58 grams? Round to the nearest hundredth of a percent.
Answers
Answer:
the percent error in the student's measurement is 4.65%.
Step-by-step explanation:
The percent error can be calculated using the formula:
| (measured value - actual value) / actual value | * 100%
In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:
| (2.7 - 2.58) / 2.58 | * 100% = 4.65%
Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.
Therefore, the percent error in the student's measurement is 4.65%.
HELP PLEASE
What is the joint relative frequency of students who use a computer in a traditional class?
45%
37%
28%
14%
Answers
The required joint relative frequency of students who use a computer in a traditional class is 37%. Option B is correct.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Number of students using a computer in a traditional class = 28
Total student in the traditional classes = 74
Required joint relative frequency of students who use a computer in a traditional class,
= 28 / 74 × 100
= 37%
Thus, the required joint relative frequency of students who use a computer in a traditional class is 37%. Option B is correct.
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8 necklace have 864 beads in all how many beads will 15 such necklace have?
Answers
Solve for p.
4p + 2 ≤ 10
Answers
Answer:
p=2
Step-by-step explanation:
4p+2≤10
-2 -2
4p≤8
divide by 4
p≤2
Answer:
p ≤ 2
Step-by-step explanation:
11. What is the reciprocal of 6/5?
OA. 12/20
OB.11/5
OC.1
OD.576
Answers
Answer: The answer is D, 5/6.
Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.
Answer:
5/6
Step-by-step explanation:
The reciprocal is where you flip the fraction
6/5 -> reciprocal -> 5/6
I'm not sure about your answer choices tho, sorry
What is the product?
2
12 64
78 30
6
32
78 30
(050
69
78 30
899
32
39 15
66 8
64
38 30
Answers
Answer:
the product is 1.32057606543E32
What is the value of h?
Answers
Answer:
in triangle
sin45=p/h
1/√2=8/h
h=8√2
on the grid, draw a scaled copy of quadrilateral ABCD with a scaled factor of 3.
Answers
We have to draw a scaled copy of ABCD.
The position of the quadrilateral will not be referenced to any coordinate.
As we need to scale it with a factor of 3, then the side AD, for example, that has a length of 1, will have an image corresponding side A'D' with length 3*1=3.
This same calculation is applied to all sides.
We can use the grid to reference the direction of each of the sides.
For example, the side DC is one unit down and one unit right. Then, the corresponding side D'C' will move 3 units down and 3 units right.
With that information, we can draw tha quadrilateral as:
On a coordinate plane, a line goes through (0, negative 3) and (2, 2). A point is at (2, negative 3).
Complete the statements about finding the equation of the line that is parallel to line n and passes through point (2, –3).
The slope of the graphed line is
.
The slope of the parallel line is
.
An equation that can be used to find the y-intercept of the parallel line is
.
The y-intercept of the parallel line is
.
The equation of the parallel line is
.
Answers
Answer:
5/2, 5/2, -3= (5/2)(2)+b, -8, y=(5/2)x-8
Step-by-step explanation:
Answer:
The slope of the graphed line is
✔ 5/2
.
The slope of the parallel line is
✔ 5/2
.
An equation that can be used to find the y-intercept of the parallel line is
✔ –3 = (5/2)(2) + b
.
The y-intercept of the parallel line is
✔ –8
.
The equation of the parallel line is
✔ y = (5/2)x – 8
.
Step-by-step explanation:
jane is going to walk once around the edge of a retangular park . the park is 300 yards long and 200 yards wide how far will she walk.?2,200 feet1,100 feet1,000 feet1,000 yards
Answers
To determine the perimeter of a rectangular yard:
\(\begin{gathered} \text{Length = 300 yard} \\ \text{width = 200 yards} \end{gathered}\)
3 feet = 1 yard
Perimeter = 2(Length + Width)
\(\begin{gathered} P=2(L+W) \\ P=2(300+200)\text{ yards} \\ P=2(500)\text{ yards} \\ P=\text{ 1000 yards} \end{gathered}\)Therefore the perimeter of the rectangular pacrk = 1000 yards
Hence the correct answer is Option D
In the early Iberian Peninsula both
Muslims and existed.
A. Catholics
B. Christians
C. Jews
Answers
Answer:
jews
Step-by-step explanation:
Answer:
Christians.
Step-by-step explanation:
WORTH 72 POINTS MATH PROBLEM
Answers
The transformation rule is; move the function f(x) by 4 units downwards and then by 2 units to the left.
What is the Transformation of the given Graph?
Transformations simply takes the basic function and transforms it to another function.
The rules of transformation are;
f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.f(x) transformed to f(x - a) means that the function will be moved 'a' units to the rightThe point on f(x) given has the coordinate (7, 5).
Now, we want to transform the point on f(x) to a point on g(x) with the coordinate (5, 1).
Thus, to get this, the transformation rule is;
(x, y) = (x - 2, y - 4)
Thus, this means move the function 4 units downwards and then by 2 units to the left.
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112+18x14 divided by 14-19 i need help
Answers
the answer to the equation 112+18*14/14-19 is 111.
How to solve the question?
To solve this equation, we need to follow the order of operations (also known as PEMDAS), which is as follows: parentheses, exponents, multiplication and division (performed left to right), and addition and subtraction (also performed left to right).
So let's break down the equation step by step:
18*14 = 252 (multiplication)
252/14 = 18 (division)
112+18 = 130 (addition)
130-19 = 111 (subtraction)
Therefore, the answer to the equation 112+18*14/14-19 is 111.
It's important to note that if we had performed the operations in a different order, we would have gotten a different answer. That's why following the order of operations is crucial in solving mathematical equations.
In general, it's important to have a good understanding of basic arithmetic and algebraic concepts to solve equations like this one. This includes knowing the order of operations, how to perform operations with fractions and decimals, and how to use variables and solve for unknowns. Practicing these skills regularly can help improve your problem-solving abilities in math and other subjects.
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PLS HELP DUE VERY SOON
Write an EQUATION that represents the GREEN line
EX. Blueline: x*2+y*1=10
Answers
Answer:
y=1/2x+0
Step-by-step explanation: