Answer:
25.12 inches
Step-by-step explanation:
PLEASE HELP MEEEEEEEEE
The following results for the algebraic equation according to algebra properties are listed below:
x⁴ + 2 · x² · y² + y⁴ x⁴ + 4 · x² · y² x² · (x² + 4 · y²)How to expand an algebraic equationIn this problem we find an algebraic equation that must be expanded and simplified by means of algebra properties. Now we proceed to present the complete procedure. First, write the complete expression:
(x² + y²)² + 2 · x² · y² - y⁴ = x² · (x² + 4 · y²)
Second, expand the perfect square binomial:
x⁴ + 2 · x² · y² + y⁴ + 2 · x² · y² - y⁴ = x² · (x² + 4 · y²)
Third, use distributive property and add similar terms:
x⁴ + 4 · x² · y² = x² · (x² + 4 · y²)
Fourth, use distributive property once again:
x² · (x² + 4 · y²) = x² · (x² + 4 · y²)
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What is the value of x? responses x = 4. 8 cm x, = 4. 8 cm x = 30 cm x, = 30 cm x = 93 cm x, = 93 cm x = 187. 5 cm x , = 187. 5 cm two segments c d and segment a b intersect at point e to form two triangles c a e and d b e. Angle c is congruent to angle d. B e is 30 centimeters. D e is 12 centimeters. A e is 75 centimeters. C e is x.
Therefore, when two segments c, d, and a, b, cross at point e to form two triangles, the value of x is 30 cm.
what is triangle ?Triangles are shapes with three sides and three vertices, making them polygons. It is one of geometry's fundamental forms. A triangle containing vertices A, B, and C is known as a triangle ABC. In Euclidean geometry, a singular plane and triangle are discovered when the three points are not collinear. A polygon with three sides and three corners is called a triangle. The corners of the triangle are the points where the three sides meet one another end to end. The sum of the angles in a triangle is 180 degrees.
given
From the diagram shown, the following equation is true:
x/75 = 12/30
Cross multiply
30x = 12 * 75
30x = 900
Divide both sides by 30
30x/30 = 900/30
x = 30
Therefore, when two segments c, d, and a, b, cross at point e to form two triangles, the value of x is 30 cm.
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Brianna was out at a restaurant for dinner when the bill came. She wanted to leave a 23% tip. If dinner cost dd dollars and cents, which expression represents the cost of dinner plus tip?
The expression that that represents the cost of the dinner plus tip is d(23/100+1)
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.
Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3
The cost of the dinner = d
the cost of the tip is 23% of the cost of the dinner = 23/100 × d = 23d/100
Therefore the total cost of the dinner and the tip = 23d/100 + d
by bringing d out
The total cost of dinner and tip = d (23/100+1)
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There are 3 feeder bus services plying to and from the nearby town center. Ahmed can ride on one of these services or walk to the town center. However, he decides that on this way back , he will ride on one of these services. In how many ways can he go to the town center and back ?
If he decided that on this way back , he will ride on one of these services then in total 9 ways he can go to the town center and back.
In the given question, there are 3 feeder bus services plying to and from the nearby town center.
Ahmed can ride on one of these services or walk to the town center.
However, he decides that on this way back , he will ride on one of these services.
We have to find in how many ways he can go to the town center and back.
According to the given conditions, we know that there are 3 feeder and we can use these feeder in 3 ways.
So we can write it as;
Number of ways he can go to the town center and back = 3 × 3
Number of ways he can go to the town center and back = 9
Hence, if he decided that on this way back , he will ride on one of these services then in total 9 ways he can go to the town center and back.
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Kala is driving on the highway. She begins the trip with 16 gallons of gas in her car. The car uses up one gallon of gas every 20 miles.
Let G represent the number of gallons of gas she has left in her tank, and let D represent the total distance (in miles) she has traveled. Write an equation relating G to D, and then graph your equation using the axes below.
Answer: G = 15-D/20
Step-by-step explanation:
Using the variables given,
G = 15 - D/20
Solve sin² (t) = 6 cos(t) for all solutions 0 ≤ t < 2π
t =
The value of t in the trigonometric equation are The value of t is cos-1(-3 ± 1)
What is Trigonometry ?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
One of the most significant areas of mathematics is trigonometry. The terms "Trigonon" and "Metron," which imply triangle and measure respectively, are combined to produce the word "trigonometry." It is the examination of how a right-angled triangle's sides and angles relate to one another. It is therefore helpful to use formulae and identities based on this connection to determine the measure of a right-angled triangle's unknown dimensions.
In trigonometry, there are six fundamental ratios that are used to create a connection between a right triangle's side-to-angle ratio and its angle. If the angle created by the base and hypotenuse of a right-angled triangle is, then
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
Now,
sin2(t) = Gcos(t)
I — cos2(t) — 6cos(t) = O
cos(t) = -3 ± 1
The value of t is cos-1(-3 ± 1)
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Write the equation of the line in standard form:
2/3x+4/3y=6
The equation of the line in standard form is 2x + 4y = 18.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
The equation of a line in standard form is,
Ax + By = C, where A, B and C are integers.
The equation given is,
(2/3)x + (4/3)y = 6
We need the coefficients to be integers.
Multiply throughout the equation by 3.
2x + 4y = 18, which is the standard form.
Hence 2x + 4y = 18 is the standard form.
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Find the mean,median,mode, and range
84,96,72,77,91
Answer:
Mean - 84
Median - 77
Mode - 84, 96, 72, 77, 91 (Or no mode)
Range - 12
Step-by-step explanation:
Mean;
Step 1 - Add all the numbers up:
84 + 96 + 72 + 77 + 91
= 420
Step 2 - divide that by 5 (because there are 5 numbers):
420 ÷ 5
= 84
Median;
Step 1 - Put the numbers in order:
84, 72, 77, 91, 96
Step 2 - Find the middle number
84, 72, 77, 91, 96
Mode;
There aren't any repeated numbers so you can put all the numbers or no mode
84, 96, 72, 77, 91
Range;
Step 1 - Subtract the smallest number from the biggest number:
96 - 84
= 12
You're welcome :)
Is Root 3x 5 a polynomial?
No, Root 3x 5 is not a polynomial, because it does not meet the definition of a polynomial.
A polynomial is a mathematical expression consisting of variables and coefficients, which only uses the operations of addition, subtraction, multiplication, and non-negative integer exponents. In other words, it must be an expression that can be written in the form ax^n + bx^(n-1) + cx^(n-2) + dx^(n-3) + ... + z, where n is an integer, and a, b, c, d, ... and z are real numbers.
Root 3x 5 does not fit this definition, because it contains a square root (√) which is not one of the operations listed. Additionally, it does not fit the form of a polynomial, as it does not contain any coefficients or exponents. The formula for root 3x 5 is simply √3x 5, and the calculation is the square root of 3x 5, or √15, which is equal to 3.75.
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determine if the triangles are similar
1. yes by AA
2. yes by SAS
3. yes by SSS
4. no not similar
The triangles Illustrated are not similar. The correct option is 4. no not similar
How to illustrate the information?If two pairs of corresponding angles in two triangles are congruent, then the triangles are similar. All three corresponding sides of the acronym SSS (side-side-side) are congruent. SAS (side-angle-side) (side-angle-side) Congruence exists between two sides and their angle.
The triangles are congruent if all three sets of corresponding sides are present. The side-side-side shortcut is a congruence technique (SSS). Side-angle-side (SAS), which uses two pairs of sides and an angle between them that is known to be congruent, is another shortcut.
In this case, they aren't similar. The correct option is 4.
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13 Y 5 Raj is the finance manager for the tea company. He produces the table below to show the different costs of running the company for the last year. Type of spend Wages Premises Materials Miscellaneous Total Amount (£) 331 560 10600 15400 10840 368400 The company owner asks Raj for more information about the proportion spent on wages. What fraction of the total amount was spent on wages last year? Raj needs the answer in its simplest form
The operational costs a business bears in order to make money are referred to as expenses.
What Is an Expense?Simply put, it is the amount of money necessary to acquire anything. "It costs money to make money," as the saying goes.Paying suppliers, paying employees' wages, leasing factories, and depreciating equipment are all common costs. The Internal Revenue Service (IRS) maintains rigorous guidelines on which expenses firms are allowed to claim as a deduction. Businesses are permitted to deduct tax-deductible expenses on their income tax returns to reduce their taxable income and hence their tax burden.The operating costs incurred by a business in order to produce revenue are referred to as expenses.As long as a business complies with IRS regulations, it is allowed to deduct certain expenses from its taxable income.Using either the cash basis or the accrual basis, accountants keep track of their spending.The two primary types of business expenses in accounting are operating expenses and non-operating expenses.Compared to the majority of other business expenses, capital expenses are treated differently by the IRS.The Complete Question is expenses.
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Will mark brainliest for explanation of all parts!!!!!!
A study showed that vitamin E oil reduces pain levels in patients with lupus. During each session, the oil was injected into the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session. Another study is being designed to examine whether vitamin E oil also reduces pain in patients suffering from bulging disks in the thoracic region of the back. Two hundred patients aged 20–40 years are subjects in the new study.
Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (5 points)
Part B: If the study consisted of 100 young patients and 100 old patients instead of 200 patients aged 20–40, would you change the study design? If so, how would you modify your design? If not, why not? (5 points)
Part C: Suppose the data in the following table was collected at the end of the study you described in part A. Vitamin E Oil Placebo Reported Pain Reduction 52 35 Total Treated 100 100 Construct 90% confidence intervals for the proportion of pain reduction for each treatment group. Show all work. (5 points)
Part D: What can you conclude about the use of vitamin E oil for patients with bulging disks in the thoracic region of the back? (5 points)
Answer:
Step-by-step explanation:
Part A.
An appropriate design for the new study to examine whether vitamin E oil reduces pain in patients suffering from bulging disks in the thoracic region of the back would be a randomized controlled trial (RCT). The study should include the following elements:
1.Treatments: The study should include two treatment groups, one receiving vitamin E oil injections and the other receiving a placebo (e.g. a neutral oil) injections.
2.Method of treatment assignment: Patients should be randomly assigned to either the vitamin E oil treatment group or the placebo group, to control for potential confounding variables.
3.Variables that should be measured: The study should measure the following variables:
-Pain levels: Pain should be measured using a validated self-reported pain scale (such as the Visual Analog Scale or the Numeric Rating Scale) before and after each treatment session.
-Patient's demographics: Age, sex, and medical history should be recorded to evaluate the effect of these factors on the treatment outcome.
-Number of treatments: The number of treatments should be recorded for each patient.
-Adverse effects: Any adverse effects should be recorded, such as redness or swelling at the injection site.
It is important to note that this is a simplified design and a real study would need to consider many other aspects such as sample size, statistical analysis, and ethical considerations.
Part B
If the study consisted of 100 young patients and 100 old patients instead of 200 patients aged 20-40, I would likely modify the study design. One reason is that age can be a confounding variable and could affect the outcome of the study. Studies have shown that age can affect pain perception and management, older adults have been found to have more chronic pain, and different pain management strategies might be more effective for different age groups.
I would modify the study design by including an age variable in the analysis and stratifying the sample by age, creating two subgroups (young and old patients) and comparing the results separately. This would allow us to see if there is any age-related differences in the effectiveness of vitamin E oil in reducing pain in patients suffering from bulging disks in the thoracic region of the back.
Another modification would be to include a larger sample size to ensure that there are enough patients in each subgroup to detect any potential differences in the effect of vitamin E oil on pain reduction between young and old patients.
It is important to note that this is a simplified design and a real study would need to consider many other aspects such as sample size, statistical analysis, and ethical considerations.
Part C
To construct 90% confidence intervals for the proportion of pain reduction for each treatment group, we can use the following steps:
1.Calculate the sample proportion of pain reduction for each treatment group:
For the Vitamin E oil group, the proportion of pain reduction = (52 / 100) = 0.52
For the Placebo group, the proportion of pain reduction = (35 / 100) = 0.35
2.Calculate the standard error (SE) for each proportion:
SE = sqrt( (p * (1-p)) / n )
Where p is the sample proportion and n is the sample size.
For the Vitamin E oil group, SE = sqrt( (0.52 * (1-0.52)) / 100) = 0.049
For the Placebo group, SE = sqrt( (0.35 * (1-0.35)) / 100) = 0.045
3.Calculate the margin of error (ME) for each proportion:
ME = z * SE
Where z is the critical value for a 90% confidence level, which is approximately 1.645.
For the Vitamin E oil group, ME = 1.645 * 0.049 = 0.0806
For the Placebo group, ME = 1.645 * 0.045 = 0.0743
4. Calculate the lower and upper bounds of the 90% confidence intervals for each proportion:
Lower bound = p - ME
Upper bound = p + ME
For the Vitamin E oil group, the 90% confidence interval is:
0.52 - 0.0806 = 0.4394 and 0.52 + 0.0806 = 0.6006
For the Placebo group, the 90% confidence interval is:
0.35 - 0.0743 = 0.2757 and 0.35 + 0.0743 = 0.4243
Therefore, the 90% confidence interval for the proportion of pain reduction for the Vitamin E oil group is (0.4394, 0.6006) and the 90% confidence interval for the proportion of pain reduction for the Placebo group is (0.2757, 0.4243)
which pair of the forms a proportion 4/8 and25/50
Answer:
1/2
Step-by-step explanation:
If you want more equivalent fractions, then you can multiply it by different numbers. The same number should be multiplied in numerator as well as denominator. You can divide it with the smallest number possible to get the simplest form
enge A family wants to rent a car to go on vacation. Company A charges $45.50 and 10¢ per mile. Company B es $55.50 and 12¢ per mile. How much more does Company B charge for x miles than Company A?
Answer: company B charges $10 and 2 cents more
Step-by-step explanation:
equivalent unit rate of $22.80
8lb
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
The following equations will have the same value of x as the one provided: 18x - 9 = 72.= 4.5
What are Equations?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
A statement is not an equation if it has no "equal to" sign.
According to our question-
3/5(30x-15)=72
18x - 9 = 72
4.5
Hence, The following equations will have the same value of x as the one provided: 18x - 9 = 72.= 4.5
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Evaluate $\frac 23+\frac 34+\frac 42$. If a fraction appears in your answer, it should be in simplified form.
When evaluated [tex]\frac 23+\frac 34+\frac 42$[/tex] into simplified form we get [tex]3\frac{5}{12}[/tex] as the answer.
What is simplified form?If the top and bottom have no common factors other than one, the fraction is in its simplest form. In other words, the top and bottom cannot be divided any further and remain whole numbers.
You may also hear "lowest terms" when referring to the simplest form.
The fraction 4/5, for example, is in its simplest form. Except for 1, there is no number that divides both 4 and 5.
To evaluate in simplified form
[tex]$\frac 23+\frac 34+\frac 42$[/tex]
Lets simplify!
[tex]$ \Rightarrow \frac 23+\frac 34+\frac 42$[/tex]
[tex]$ \Rightarrow \frac{8}{12} + \frac{9}{12} +\frac{24}{12}[/tex]
[tex]$ \Rightarrow \frac{8+9+24}{12}[/tex]
[tex]$ \Rightarrow \frac{41}{12} = 3\frac{5}{12}[/tex]
Thus, when evaluated [tex]\frac 23+\frac 34+\frac 42$[/tex] into simplified form we get [tex]3\frac{5}{12}[/tex] as the answer.
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What are the 3 types of sides in a right triangle?
The 3 types of sides in a right triangle are hypotenuse, base, and perpendicular.
A triangle is a form of a two-dimensional polygon with three edges and vertices. It is divided on the basis of sides as a Scalene triangle, Isosceles triangle, and Equilateral triangle. It is also divided on the basis of angles as acute, obtuse, and right-angle triangles.
A right-angle triangle has one angle equal to 90° and the other two angle sums up to be 90°. The angle formed by the base and perpendicular is 90°.
The hypotenuse is the longest side of the triangle and it is opposite of the right angle. The relation between the three sides is Hypotenuse∧2 = Perpendicular∧2 + Base∧2. this relation is also called Pythagoras theorem.
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What is an expression that can be use to multiply 6 x 198 mentally?
Answer:
paper and pencil
Step-by-step explanation:
get a paper then a pencil and solve it
-6 × 2 + 6 × 200.
Hope this helps! :D - your friendly neighborhood Jxro!
What is the equation of this line in slope-intercept form?
y = −3x + 2
y = 3x −2
y = −1/3x +2
y = 3x + 2
Answer:
Y=-3x+2
Step-by-step explanation:
The basic formula is y=mx+b where m is the slope and b is the y intercept
If you look y is at positive 2. Then you can count from the y intercept to the point, it's down 3 over 1 so it would be -3/1 which is just -3
Write in radical form. Do not simplify.
11x^1/4
The radical form of the given exponential form of a number 11x^(1/4) is written as ( 11 ) × [tex]\sqrt[4]{x}[/tex].
As given in the question ,
Given exponential form is equal to :
11x^(1/4)
Using th formula to convert exponential form into radical form in standard form we have :
( y )^ ( a / b ) = [tex]\sqrt[b]{y^{a} }[/tex]
Here y is equal to x
a is equal to 1
b is equal to 4
Substitute the value of the given expressions in the formula we have,
11x^(1/4)
= ( 11 ) × [x^(1/4) ]
= ( 11 ) × [tex]\sqrt[4]{x^{1} }[/tex]
Any thing raise to one is the number or variable itself the required radical form is equal to:
= ( 11 ) × [tex]\sqrt[4]{x}[/tex]
Therefore, the radical form of the given expression 11x^(1/4) is given by :
( 11 ) × [tex]\sqrt[4]{x}[/tex].
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2.) There were 145 pounds of flour at the bakery at the start of the day. The bakery uses 111 pounds of flour by the end of the day. What percent of flour did they use?
The bakery used 76.55 % of the flour by the end of the day.
How to calculate Percentage?
The percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
To find the percent of flour used by the bakery, we need to divide the amount of flour used by the total amount of flour and then multiply by 100 to convert the decimal to a percentage.
We can use the formula:
percent used = (the amount used / total amount) x 100
In this case:
percent used = (111 / 145) x 100 = 76.55 %
Hence, The bakery used 76.55 % of the flour by the end of the day.
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QUICK HELP ME LOL!!!!! BOTH
Answer:
amplitude=2
period=[tex]\pi[/tex]
help me cause its due today
Answer:
(-2, 1)
Step-by-step explanation:
x = -2
-2(-2) + 2y = 6
4 + 2y = 6
2y = 2
y = 1
How do you find the area of a triangle with 3 unequal sides?
To find the area of a triangle with 3 unequal sides, you can use Heron's Formula.
This formula states that the area of a triangle (A) is equal to the square root of s(s-a)(s-b)(s-c), where s is half of the perimeter of the triangle and a, b, and c are the lengths of the sides of the triangle.
1. Calculate the perimeter of the triangle by adding together the lengths of all three sides.
2. Divide the perimeter by two to find s.
3. Plug in the lengths of the three sides and the value of s into Heron's Formula to calculate the area of the triangle.
A = √s(s-a)(s-b)(s-c)
To find the area of a triangle with 3 unequal sides, you can use Heron's Formula which states that the area of a triangle (A) is equal to the square root of s(s-a)(s-b)(s-c), where s is half of the perimeter of the triangle and a, b, and c are the lengths of the sides of the triangle.
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Which of the following is a monomial ? *(d) a + b + c + d.(b) a + 6(a) 4x²(c) a + 6 + c
A monomial is an algebraic expression that consists of only one term. Examples of monomials include 4x², a + 6, and a + b + c + d.
In the given example, (a) 4x² is a monomial because it consists of only one term, 4x². (b) a + 6 is also a monomial because it consists of only one term, a + 6. (c) a + 6 + c is not a monomial because it consists of more than one term, namely a + 6 and c. (d) a + b + c + d is also not a monomial because it consists of more than one term, namely a, b, c, and d.
To calculate the value of a monomial, we must first determine its degree. The degree of a monomial is the sum of the exponents of its variables. For example, the degree of 4x² is 2 because it consists of only one variable, x, with an exponent of 2.
Once the degree of a monomial is determined, its value can be calculated by substituting the values of its variables. For example, if x = 3, then 4x² = 4(3)² = 36.
In summary, a monomial is an algebraic expression that consists of only one term. Its degree is the sum of the exponents of its variables. To calculate its value, substitute the values of its variables into the expression.
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i am good with graphs but not equations, plus i put 30 points for an answer. i need help
Carly reads at a faster rate than Monica. The number of pages in Monica's novel is greater than the number of pages in Carly's novel.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Carly Equation:
y= - 35x + 220
and, Monica equation:
slope = (90- 240)/ 5-0
slope = -150/5
slope= -30
and, the equation is
y- 240 = -30 x
y= -30x + 240
From comparing both cases Carly start with 220 pages and Monica with 240 pages and Carly will complete in 7 hours whereas Monica will complete in 8 hours.
Hence, Carly reads at a faster rate than Monica.
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What is a graph with x 3 called?
The graph with x 3 is called a cubic graph.
A graph is a visual representation of data, usually plotted on a two-dimensional plane. When graphing a function, the x-axis is used to represent the independent variable and the y-axis is used to represent the dependent variable. A graph with x 3 is a graph that shows the relationship between the independent variable, x, and the dependent variable, x3. This type of graph is called a cubic graph, as the graph follows a cubic equation.
The graph with x 3 is called a cubic graph.
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A moving company want to buy a new type of truck and need to know the volume of the torage compartment before they can decide if they hould purchae the truck. What’ i the volume of the torage compartment
The volume of the storage compartment is 1246 cube ft.
In the given question, we have to find the volume of the storage compartment.
The diagram of the question is given below.
If we see the diagram it forms two recatangle with the lengths given below.
As we know that the volume of the cuboid is
V = LBH
where, L = length, B = breadth, H = Height
Now finding the volume of the cuboid A.
So V(A) = 10*8*15
V(A) = 1200 cube ft
Now finding the volume of the cuboid B.
So V(B) = 2*8*3
V(B) = 48 cube ft
Now the volume of the storage compartment is the sum of the volume of cuboid A and volume of the cuboid B, then we subtract 2 ft because we count the 2 ft of height two times.
The volume of storage compartment = volume of the cuboid A + volume of the cuboid B - 2 ft
The volume of storage compartment = 1200 + 48 - 2
The volume of storage compartment = 1248 - 2
The volume of storage compartment = 1246 cube ft
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a package of 6 pairs of insulated costs $40.74 . What is the unit price of the pairs of ?
Answer: 6.79
Step-by-step explanation: divide them